{"text":"Question: Let x(u) = -6*u**2 + 5*u + 2. Let m(y) = 14*y**2 - 12*y - 5. Calculate 2*m(o) + 5*x(o).\nAnswer: -2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -2*p**2 - 27*p - 86. What is v(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Do 18\/47351 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -50320655 divided by 10064131.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 19561999 bigger than 332553960\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -18, -259, -710, -1371, -2242, -3323, -4614?\n\"Answer: -105*c**2 + 74*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*n**4 + 2 - 2)*(-39 - 45 - 11) as x*n**2 + i*n + s*n**3 + o + t*n**4 and give t.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -139*y = -95482 - 202823 - 266869. Calculate the remainder when y is divided by 203.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -27 or -1060?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/5*(-9)\/(-6)*(-112)\/42.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-90)\/(-40) - (-42)\/(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 157 - 152. Suppose 2 = 3*z - 1, 4*i - 5 = -z. Let f be -1 + 1*4\/(-6). Which is the smallest value?  (a) i  (b) o  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u = -4*a - 12, -5*u + 7*a + a + 14 = 9*a for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -8114  (b) 2\/11  (c) -4  (d) -668  (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 9, g: 5}. Give prob of picking 1 l and 1 g.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*l**2 + 935657*l**3 - 1 - 935656*l**3 - 2*l - l to the form c + i*l**3 + m*l + n*l**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1266*o + 5*o**2 + 41660 - 82*o + 122145 + 263*o + 363*o.\nAnswer: 5*(o + 181)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 28 and 17262.\nAnswer: 34524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.03 + -0.1621.\nAnswer: -0.1921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (x**2 + 0*x**2 + x**2)*(-x + 4*x + 2*x) + (-25*x + 9*x + 14*x)*(-5 + 5 + 10*x**2) as n*x**2 + u + q*x**3 + z*x and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -4*b**2 - 16*b + 9. Let k(y) = -y**2 - 5*y + 3. Suppose -2*o = 3*o - 15. Suppose -s - o*s = -28. Let m(p) = s*k(p) - 2*x(p). Calculate m(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -190.6 < -0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r - 2. Let y be f(-5). Let q = -1189 - -1172. Let t = y - q. Solve 5*s - t*s = 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, z: 4}. What is prob of sequence zd?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 156 minutes before 4:29 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b - 0*b. Suppose 0*o + 4*o - 292 = b. Let k = o + -47. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 33103\/1170 + -372\/13. Calculate the common denominator of -43\/90 and u.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -129, -96, -21, 114, 327, 636?\nAnswer: 1059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6.7 - 2.3. Let g = y - -8.8. Let s = -44 - -222\/5. Which is the nearest to 3?  (a) s  (b) -3  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 109998442?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j - 3. Let d(r) = 1. Let h(q) = 20*d(q) + 5*t(q). Determine h(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 174\/638*4\/(-6)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -223413.025 rounded to the nearest 10?\nAnswer: -223410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 8065.213 millimeters?\nAnswer: 8.065213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5 and 426?\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 57 in -102, -2, 0.2, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 863 - 1366?\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(((m**(-2\/11)\/m)\/m)\/m*m))\/m)**(-19) assuming m is positive.\nAnswer: m**(-456\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 96572.\nAnswer: 2, 7, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 463 minutes before 4:32 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1397517 is divided by 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ab when two letters picked without replacement from {a: 1, p: 1, b: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*n + 18*n + 580 = 0. Are n and -145 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -g - 2*u + 15, -1535*u + 29 = 3*g - 1533*u for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*s + 9*s = -144. Suppose 0 = -55*j + 46*j + s. Solve 0 = 2*k - 2*c + j, -3*k - 3*c + 3 - 9 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 12 - (-44 + 60)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-6)\/(-3) - -3) + -1. Let o(u) = u**2 - 4*u + 5. Let y be o(a). Solve 3*b - y*f + f = 20, -3*f - 15 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 2, 4, 20, 0 in decreasing order.\nAnswer: 20, 4, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2716.87 + 83.601?\nAnswer: 2800.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -188*p**2 + 15*p + 158*p**2 - 56*p + 41*p.\nAnswer: -30*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sum 384.89 and -213693.\nAnswer: -213308.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 80 and 14480?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8683341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((2109\/(-38))\/(-37))\/((6\/24*-12)\/218)?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(2816)*-2 + sqrt(2816)))\/(sqrt(16)*1 + sqrt(64)*-1).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in eighteen fifths of a millennium?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 12 - 6. Let m(h) = -h**3 + 4. Let u(k) = k**3 + 6*k**2 + k + 6. Let n be u(-6). Let t be m(n). Solve t*d = d - s for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -6*l - 239. Let k be u(-43). What is the second derivative of -7*i**2 - 2*i**3 - 2*i - 6*i**2 - k*i - 25*i - 11*i wrt i?\nAnswer: -12*i - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 49454\/2054 - (1\/13 + 0). Let y = -347 + 539. What is the highest common divisor of o and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -383*w**2 - 3*w. Let v(i) be the first derivative of -2*i**3\/3 + 2298. Calculate c(v(h)).\nAnswer: -1532*h**4 + 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 1373457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -47, 208, -3\/2 in decreasing order.\nAnswer: 208, -3\/2, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11010010101010111 - 100?\nAnswer: -11010010101011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18\/(-4)*792\/(-30294).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = 3*t + 3. Suppose 2*r = t*d + 77, 3*r - 5*d = 7*r - 121. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n**3 + 7*n**2 - 7*n + 4. Let y be u(5). Let v = -38 + 46. Suppose 2*k + v*k - 190 = 0. Calculate the highest common factor of k and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**6*f\/f**12)**(5\/3))**(-39) assuming f is positive.\nAnswer: f**325","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*z - 2*z - z + (4 + 0 - 3)*(2*z - z - 2*z) - 11*z + 29*z + z)*(-6*z - 5*z + 4*z).\nAnswer: -140*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 35325409 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5586 and 12103?\nAnswer: 72618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4885959 divided by 39.\nAnswer: -125281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 3 + (0 - (-2 + 4)) - -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -31.0197836837456 + 4.\nAnswer: -27.0197836837456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -157372 divided by 7\nAnswer: -157372\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 38 = 678. Let m = 9 + -60. Let w = n + m. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 1538 = 5*z + 5*c, -5*z + 1544 = 2*c. Let i = -309 + z. Solve -4*b - i = -5*m, 4*b - m = -2*m + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8463 - -8471. Let d(h) be the first derivative of 0*h**3 + 1\/3*h**6 + r + 0*h - h**4 + 2\/5*h**5 + 0*h**2. Suppose d(a) = 0. What is a?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -7904*b - 3390821. What is y(-429)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -383 - 3089?\nAnswer: -3472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 4115620 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (((-16)\/(-6))\/((-5600)\/(-2100)))\/(1\/(-11))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -838.4 + 68.\nAnswer: -770.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k, 1 g, and 1 s when three letters picked without replacement from {k: 4, g: 1, x: 3, m: 2, s: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -29 <= -567\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:20 PM and 7:32 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6 - 8. List the prime factors of 6 + (1 - 4\/n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -2 + 2 - 3 - 28*p + 1. Let h be t(3). Let d = 5 - h. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**3 + 8*u**2 + 12*u + 58. Let r be x(-7). Suppose -32*j + 306 = -r*j. What is the highest common divisor of j and 527?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + sqrt(242) + -2 - 5*(1 + sqrt(242)) - (((4 + sqrt(242) - sqrt(242) - sqrt(242)) + -5 - sqrt(242)) + sqrt(242))*4) + 4)**2 + -5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1276?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 72\/18*423\/720*20?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -18879 + 22510.5. Round k to the nearest 10.\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 22648, 22802, 22972, 23158, 23360, 23578, 23812?\n\"Answer: 8*m**2 + 130*m + 22510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -5*k**2 + 29 + 19*k**2 - 3*k**2 - 9*k**2 - 3*k**2. Let b(f) = 3*f**2. What is b(d(x))?\nAnswer: 3*x**4 - 174*x**2 + 2523","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 2*q + 10. Let f be j(8). Suppose f = -0*s + s. Let b = s + -22. Calculate the lowest common multiple of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 30036 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -181*s**2 + 181*s + 724. Let b(g) = g + 4. Let x(w) = 181*b(w) - p(w). Let j(h) = 14*h**2. Give x(j(v)).\nAnswer: 35476*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 7 times 10315624\nAnswer: 72209368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -16, 5, 1 in increasing order.\nAnswer: -16, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*j**3*p**2 - 4*j**3*p - 37591*j**3 + 475*j**2*p**2 - 14*j**2*p + 16*j*p**2 - 5*p**2 wrt p?\nAnswer: 4*j**3 + 950*j**2 + 32*j - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 1961 = -2*b + 290, 0 = -5*z - 4*b + 8327. What are the prime factors of z?\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 109946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pr when two letters picked without replacement from irwwowipiwi.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x + 1. Let n be i(-1). Let s be ((-4)\/14)\/((-37)\/2331). Suppose -5*j + 7 + s = n. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3*1*20\/(-15))\/(((-1410)\/(-5))\/(-1128))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 14*i**3 + 11*i - 14. Let y(b) = 5*b**3 + 4*b - 5. Let o(d) = 6*f(d) - 17*y(d). Let v be o(1). Let l(n) = n + 1. Determine l(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -375972\/5 - -148133393\/1970. Find the common denominator of 77\/8 and k.\nAnswer: 1576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c = 5*g - 29, 4*g - 4*c = -c + 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -601*f + 603*f - 12 + 5 = -l, -l = -3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 54\/5 of a meter?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:48 AM and 6:57 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 26+-2159\nAnswer: -2133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s - 88 - 3188 = 0. Calculate the remainder when s is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 84722 - 13762 = 4184*t - 12720 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 2, -8, 1 in decreasing order.\nAnswer: 2, 1, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(891) + -1 + 4.\nAnswer: 3 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 0*d + 7 = 4*v, 5*v = 5*d + 40. What is the thousands digit of (4\/v)\/((-6)\/77220*-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 5*u**3 - 48*u**2 - 16*u - 119. Give x(10).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t = -5*j + 8, -510*j + 513*j = -4*t - 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(350) + (sqrt(350) - 2*sqrt(350)))*-1 - sqrt(350))\/(sqrt(63)*-3).\nAnswer: 5*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 3*h**6 + 4*h**5 - 4*h**2. Let j(r) = -3*r**6 - 3*r**5 + 4*r**2. Let y(w) = -4*j(w) - 3*l(w). What is the third derivative of y(z) wrt z?\nAnswer: 360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 12*f**3 + 2*f**2 + 3*f - 12. What is the remainder when u(6) is divided by 243?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/8220160 and 89\/9120.\nAnswer: 24660480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -12 + 11 - -259 - (-5)\/1 is divided by 67?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n + 27 = -3*a + 3, 5 = -5*a + 5*n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 71 - 75. Does 52 divide 2833\/15 + 0 + m\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 110 divide 28710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 59 = -175. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -163650 rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4\/9 + 7\/9. Let w = -39.14 + 39.54. What is the second smallest value in -1\/16, t, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -24*l - 0 + 120. Suppose -2*p - 2*p = -12. Solve 5*r + 10 = -p*w, -3*r - w - l = w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(98) + -1 + -5.\nAnswer: -6 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**4\/l*l)\/l*l**(5\/2)*(l\/((l\/(l*l**(-2\/19)))\/l))\/l*l*(l*l**(-2\/3)*l)\/l assuming l is positive.\nAnswer: l**(881\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from llcllicro. Give prob of sequence olci.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**2 + 15*k - 7. Determine y(-7).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 7*l**2 - 4. Let o be p(-2). What is the units digit of 582\/o + 1\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 35 + -115. Let n = v - -79.99914. What is n rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 131, 172, 227, 302, 403?\n\"Answer: n**3 + n**2 + 31*n + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 30789 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -3*c + 4 + 2*c**2 - 3 - 7. Let x(b) = b**2 - 5. Let v be x(0). Is h(v) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12792.33837us in weeks?\nAnswer: 0.000000021151353125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 13 = -2*v + 2*f, -29 = v - 5*f. Let t = 6 + v. Suppose 6 = -2*p, -t*p = -4*l + 4 + 14. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00252379606 rounded to four decimal places?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.356469 rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 r when two letters picked without replacement from rrjjrjkarbkkjrkjjkk.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 26\/1147 and -74\/9.\nAnswer: 10323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1555\/258 - -11\/387. Find the common denominator of 22\/((-88)\/3)*-54 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(((-12)\/(-72))\/((-258)\/(-36))).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -2742*f**3 - 10*f**2 - 5*f - 10. Let r(d) = 24679*d**3 + 92*d**2 + 46*d + 92. Calculate -46*i(t) - 5*r(t).\nAnswer: 2737*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000021971 to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.002354 to five dps.\nAnswer: 0.00235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**3\/3 - 10*x**2\/3 + 28*x\/3 - 8.\nAnswer: (x - 6)*(x - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 70 = -12. Let m = t + 1. Is (-1)\/5 - (-11826)\/m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = -h + 36999, 76*h = 5*i + 75*h - 46251. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10100000010001110 (base 2) in base 13?\nAnswer: 2b476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 29*i**3 + 3*i**2 - 11*i + 5. Let u be a(-8). Let k = u + 25760. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15407, 30964, 46637, 62432, 78355, 94412, 110609, 126952?\nAnswer: 143447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 258 times 2138941?\nAnswer: 551846778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*s + 5*f + 20, -s + f + 13 = -3*f. Let x(v) = 5*v - 3*v + v + s*v**2. Is x(-3) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1685 and 29476042.\nAnswer: 147380210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, t: 1, m: 2, z: 1}. Give prob of sequence mt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**3 - 7*d**2 - d + 7. Let v(z) = -z**3 + 3*z**2 + 3*z - 3. Let s be v(4). Does 14 divide c(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 25 - 29. Let p(c) = 13*c**2 + 54*c + 10. Let y be p(r). Let d(o) = -o - 1. Let w be d(-3). Solve y = u - w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -39*c. Let w(l) = 3352051*l. Give w(p(v)).\nAnswer: -130729989*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b. Let l(v) = -2*v**2 + 8*v + 1. Let q(f) = 62*f + 315. Let j be q(-5). Give j*t(d) - l(d).\nAnswer: 2*d**2 - 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -5.713 to one dp.\nAnswer: -5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 5, 5.4, -5, 0.5, -13, -0.1208?\nAnswer: -0.1208","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -247 divided by 13\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 18708 - 14866. What is the greatest common divisor of 102 and f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 25, 59, 95, 133, 173, 215, 259?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -121 divided by 2788?\nAnswer: -121\/2788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/4 + 9\/(36\/(-14)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 462 minutes before 4:07 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 2 + 2303*n**3 - 2314*n**3.\nAnswer: -11*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61931 is divided by 632?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -82059, -164129, -246199, -328269, -410339?\nAnswer: -492409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1050061951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(16)\/(sqrt(80)\/(1*sqrt(10))) - sqrt(6)\/(sqrt(27)*-4).\nAnswer: 13*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 26 = -2*t, 2*w = -5*t + t - 12. Let q(o) = o + 10. Determine q(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 56 + 6a3?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 1 = 3. Suppose h - 3 = -g. Solve 3*z - 1 = -2*u + 4*z, 0 = -3*u - 2*z - h for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*q**3 + 7529784792 - 7529784792.\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - 3*p = -12. Let o(y) = 0 - y - 4*y**2 + p*y**2 - 1 - 8*y**3. What is the units digit of o(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + -9 - (3 + (2 - (4 - 2)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4774 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x + o = 8, -9930*x + 4*o = -9935*x - 52 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*x + 195 = 285 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -240545 at least as big as -240523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 268833083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1596*j**3 + 18858*j**2.\nAnswer: 9576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**2 + 7*v - 10. Let t be g(-9). Let d = 31305 - 31303. Factor 0*x**d + 0 - 4\/3*x**3 - 20\/3*x**4 - t*x**5 + 0*x.\nAnswer: -4*x**3*(2*x + 1)*(3*x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39000 = -2508*z + 2505*z. Round z to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (12\/(-15))\/(1\/(-30)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.4 in -4, -6\/541, 4, -5, 23?\nAnswer: -6\/541","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 48480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12030213 (base 6) to base 9.\nAnswer: -634400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 9299\/744 + 1\/744. Find the common denominator of (-2 - 24)*(-2)\/(-24) and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 133*n**2 - 154*n**2 - 403*n**2 - 8*n**2.\nAnswer: -432*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 17*m**2 - 7983*m - 3337. What is x(470)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(-4)*4 + -1. Let w = 6 + h. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -119\/18618 and 133\/12420?\nAnswer: 38539260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1420166340?\nAnswer: 2, 3, 5, 317, 24889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -27*f - 3. Let d(y) = -2*y**2 + 2*y - 1. Let m be d(1). Let s be r(m). Suppose 0 = -22*c + 16*c + s. Solve -3*a - 10 = -c*o, o = a + 1 + 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-27)\/4)\/((-123)\/24 + 5). Suppose 2*i + 5 = -x, 2*x + x - 2*i - 17 = 0. Suppose -2*g + 4*d = -0*g - t, 0 = x*d - 15. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -29 times 9\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -78 + 105. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(187)*2 + sqrt(187))\/((sqrt(88) + sqrt(88)*2)\/sqrt(8)) - (6*(sqrt(17) - sqrt(68)) + 1)**2*1.\nAnswer: -613 + 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (12\/(-9))\/(40\/(-12))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -138*s + 2038 - 3280 = 0 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 + 1. Suppose 0*z = 4*z. Suppose z = 2*n - 8. Solve n - 8 = i*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppnnnppnpnpnnpnn. Give prob of picking 3 p.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -26*p**3 + 14*p**2 + 4*p - 58. Is y(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7*a**5 + 160*a**2 wrt a?\nAnswer: 420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 133961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-2\/7))**31*v**(-6\/11)\/v*v*v**(-5) assuming v is positive.\nAnswer: v**(-1109\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/(4\/60*3). Calculate the remainder when (14\/(-8))\/(c\/(-120)) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s - 4*h = s + 2319, 5*s - 2*h = 2327. Does 62 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 162498791 to the power of 1\/2, to the nearest integer?\nAnswer: 12748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/20 - 2\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 930 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 235085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by -413252\nAnswer: -1\/413252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve z - 13 = 2*y - 24, -6 = -y + z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -13941 + 48941. What is l rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the first derivative of -o**5\/20 + o**4\/4 + 4*o**3\/3 + 5*o**2\/2 - 94*o - 151. Let d(y) be the first derivative of f(y). Determine d(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*v + 230 = 2*v. Let n = 273 - v. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6966 and 500496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4025*f - 4025*f - 26*f**3.\nAnswer: -26*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the second derivative of -a**3\/3 + 3*a**2\/2 - 9*a. Calculate v(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**3 + 15*y**2 + 8*y + 138. What is f(-15)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 6*(sqrt(304) + sqrt(304)*1)**2.\nAnswer: 7296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13535.623854 - 13535.8. Let q = p + 0.1171495. Let w = 0.059 + q. What is w rounded to seven decimal places?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 232746 + 31171990?\nAnswer: 31404736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.184826 rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -450*c**2 - 2*c - 6. Let l(d) = 1349*d**2 + 8*d + 21. Give 2*l(n) + 7*z(n).\nAnswer: -452*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + (-4 - (-13 - 2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1389 - 929. Let z = y - 308. Is 38 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-142)\/84 + (-4)\/(-2). Let y = 4\/21 + v. Let s = -14 - -14. Which is the nearest to s?  (a) -2  (b) y  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -3, -0.3, 0, -2\/3, 0.4, -2030281.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tttggtevtttttteg. What is prob of picking 1 g and 1 e?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -19*l. Let c(m) = 4 + 9902*m - 20664*m + 9946*m - 4. What is -128*a(s) + 3*c(s)?\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 - -0.6. Let h = -20890.6019 + 20892. Let q = h + f. Round q to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -33*z - 127. Let q be t(-4). Let l be ((-8)\/10)\/(4\/(-10)). Let d be (0\/(-1) - 1) + l. What is the greatest common divisor of q and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**2 - 5*o - 7. Suppose -2*k + z + 0*z = 1, -4*z + 4 = 2*k. Suppose k*y + 45 = 5*n + 5*y, 3*n - 21 = -y. Determine d(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the first derivative of 7*h**5\/10 + h**4\/4 - h + 1. Let r(m) be the first derivative of t(m). What is the third derivative of r(i) wrt i?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-200)\/(-5))\/5 + 41328\/8?\nAnswer: 2, 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*s - 37*s + 20 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 divided by -5?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i + 5*i + 4 = 0. Suppose -i = 4*n - 10. Solve -n*p = 2*p + 4*q + 20, 2*p - 6 = 2*q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -7  (b) 3  (c) 5  (d) -0.2  (e) 0  (f) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1.676 from -0.1.\nAnswer: -1.776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**3 + k**2 - 1. Let q(r) = 147*r**3 + 4*r**2 - r - 4. Let i(y) = 4*f(y) - q(y). List the prime factors of i(-1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1086.\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 120617050 to the power of 1\/2, to the nearest integer?\nAnswer: 10983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g = g - 16. Calculate the remainder when 59 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 16, 3, -18, -47, -84?\n\"Answer: -4*m**2 - m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 290317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 28800060 - -3?\nAnswer: 28800063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f - 1. Let m(v) = -9*v - 7. Let h(t) = -2*m(t) + 22*w(t). What is h(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6290 + 69196\/11. What is the second biggest value in p, -7, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -22359 + 22362. Solve 88 = k*b + 76 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6330?\nAnswer: 2, 3, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -210*y**2 + 66*y**2 + 67*y**2 + 64*y**2. Let w(q) = -2*q**2 + 4*q**2 - 5*q**2. Calculate w(f(t)).\nAnswer: -507*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4)\/(-7)*42\/12. Suppose c*z + 2*y = 118, 3*z = -y - y + 173. Suppose -3*i = -148 + 82. What is the greatest common factor of z and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4117780, 8235617, 12353456, 16471297?\nAnswer: 20589140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(12\/7)*12\/21?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -634*s - 24728. Calculate x(-39).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -18*f - 76. What is the remainder when s(-12) is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 0.03, 5\/2, 2\/11, 201, 4 in increasing order.\nAnswer: -2, 0.03, 2\/11, 5\/2, 4, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**14\/j*j\/(j*j**(-3\/13)\/j))\/((j\/j**7)\/(j**5\/j)))**(-24) assuming j is positive.\nAnswer: j**(-7560\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t - 2712. Let z(y) = 3*y + 8137. What is 17*j(h) + 6*z(h)?\nAnswer: h + 2718","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 11497345 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1154 divided by -28912?\nAnswer: -577\/14456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 251955*x**2 - 69 + 5*x**3 - 252030*x**2 - 16 - 165*x.\nAnswer: 5*(x - 17)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 799*t**2 + 147*t - 635. What are the prime factors of m(7)?\nAnswer: 5, 11, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9, -21, -51, -105, -189, -309, -471, -681?\nAnswer: -945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 4 + 0)*(0*p**5 + 4*p**5 + 2*p**5)*(1 + 5 - 5).\nAnswer: 24*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 53 - 20. Suppose 3*j = 2*d + 16, 4*j - d = 4*d + l. Solve r = j - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -507 - -503. Let u = -1.88 + -0.12. Which is the second biggest value?  (a) r  (b) 1  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the third derivative of k**5\/60 + k**4\/12 + 7*k**3\/6 - k**2. Let j(s) = 68*s + 333. Let r be j(-5). What is the tens digit of d(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bhhhbhhhgbghhbbhhb. What is prob of sequence bhbh?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (2 + (-4 + (sqrt(308) - (2*sqrt(308)*-2 + sqrt(308)))\/sqrt(7))*2)*4.\nAnswer: -27 + 64*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2072733*f**2 + 8078121*f wrt f?\nAnswer: -4145466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 2*a**2 + 4*a - 5. Let o = -3 + 5. Calculate the remainder when q(-4) is divided by 3 + (4\/o - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 2*m + 25 = 3*m, 4*m = -3*o + 20. Solve 2*l + 7 - 1 = o for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39807 = 82*g - 4319 - 482. What is the highest common divisor of 64 and g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 502 minutes after 5:12 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-12)\/(5 + -6) - 0\/(-2). Suppose 66*w - y = 65*w. Calculate the lowest common multiple of 7 and w.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -2920*a + 117. What are the prime factors of v(-2)?\nAnswer: 7, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 2*p**2 + 20*p - 170. Let g(w) = 2*w**2 + 14*w - 167. Calculate 3*g(t) - 2*y(t).\nAnswer: 2*t**2 + 2*t - 161","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 272 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -4*q + 3. What are the prime factors of b(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5702 is divided by 5256.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(-7)*t*t**(-6)*t)**28)**(-15\/2))**(-4\/3) assuming t is positive.\nAnswer: t**(-3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -12 - 30. Let s = v + -21. Solve s = 6*w - w - 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 2*k = 12. Let b be ((-5)\/5)\/(k\/284). Let u = 91 - b. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 25 - -31. Let h = a + -51. Suppose -3*v - 32 = -2*y, -y - 64 = -5*y - v. Calculate the lowest common multiple of y and h.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 2*c. Let y(j) be the second derivative of 2*j**3\/3 + j**2\/2 - j. Let w(g) = 7*q(g) - 3*y(g). Calculate the remainder when w(8) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 120967861349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 426318 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vaaphaihjhvhhphha. Give prob of sequence ihh.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**2 - 2*x. Let m(y) be the second derivative of 1\/12*y**4 + 1\/2*y**2 - 1\/6*y**3 - 7*y + 0. Determine 2*l(b) - 3*m(b).\nAnswer: -b**2 - b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:35 AM and 7:33 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1, -5, -11, -19, -29, -41, -55?\n\"Answer: -w**2 - w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -91 + 90.87. Let p = 302 + -1507\/5. Which is the closest to 0?  (a) p  (b) n  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/5256 and 43\/101178.\nAnswer: 404712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 11\/(1925\/(-945))*5\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 122808*c**4 - 139015 with respect to c.\nAnswer: 491232*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-2)\/(-4))\/(3\/(-18)). Let m be (-252)\/(-147) + 2\/7. Let l(c) = 1 + m - 2 - 4*c. Let n(d) = -5*d + 2. Give h*n(z) + 4*l(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -2*y - 4*d, 3*y - 15 = 2*d - 4*d. Let f = y + -7. Put 2, -3, f in descending order.\nAnswer: 2, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 12 + -7. Suppose g*l + 6 = 21, 7 = -5*c + 4*l. What is d in 2 + 18*d**2 - c + 8*d**3 - 24*d**4 - 12*d + 1 = 0?\nAnswer: -1, 1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15 + 29 + 49*x - 51*x - 48 + 9.\nAnswer: -2*x + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 12\/8*8\/6. Let a(u) = -3*u**k - 2*u**2 + 2*u**2. Let f(q) = 300*q - 300*q - q**2. Determine a(f(x)).\nAnswer: -3*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 30463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the first derivative of -55\/2*d**2 + 0*d - 75 - 139\/3*d**3. What is the second derivative of s(n) wrt n?\nAnswer: -278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1279 - -1283. Sort 33, -1\/10, f in increasing order.\nAnswer: -1\/10, f, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, k: 1, z: 1, i: 2, d: 1, q: 1}. What is prob of picking 1 d and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -2 * 76\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -703 + 725. Let m(i) = i + 24*i - t*i - i. Let v(o) = -180*o. What is v(m(g))?\nAnswer: -360*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -26 + 29. Suppose 84 = -0*s + 3*s - y*b, 3*s + 2*b = 69. Calculate the remainder when 46 is divided by s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (-53 - 53 - -55)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 2) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/3 < 2.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 876119?\nAnswer: 29, 30211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 5  (b) -5  (c) 90  (d) -0.2  (e) 0  (f) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**2 - 2*q. Let n be u(-2). Suppose 2*y + 5 = 7*y. Let b be -3 - (y + (1 - 8)). Solve -5*k + 5*o + 20 = n, b*k - 2 = -3*o + 16 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -193 + 183.9. Let h = c + 9.099934. What is h rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**2 + 5*j + 12. Let d(w) = -2*w**2 - 9*w - 23. Let c(r) = 2*d(r) + 5*k(r). Let o(v) = -v**2 + 10*v + 12. Let b be o(12). Is c(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 9*m = -40. Suppose 2*z + 654 = 4*s, 4*s + s + m*z = 837. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30090?\nAnswer: 2, 3, 5, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2846854 a multiple of 527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 2 - 2)*(3*w**3 + 4*w - 5*w**3 - 4*w**3 - 2) in the form o + j*w**2 + t*w**3 + b*w and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.2 - -0.3. Let c be 16\/(-40)*(-1)\/(-2). What is the closest to 1\/4 in c, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 93487*q**4 + 34052*q?\nAnswer: 1121844*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -699, -2542, -5525, -9648?\nAnswer: -14911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gc when two letters picked without replacement from {w: 1, d: 1, f: 1, c: 1, p: 1, g: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -3*p**2 + 5*p + 11. Let g(j) = 4*j**2 - 5*j - 12. Let l(y) = 4*g(y) + 5*z(y). Calculate l(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*u**3\/5 - 251808*u**2\/5 - 755452*u\/5 - 100728 = 0. Calculate u.\nAnswer: -2, -1, 62955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:00 PM and 1:57 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the third derivative of 337*s**4\/12 + 2531*s**3\/2 + 18*s**2 - 16*s + 1. What is the derivative of d(z) wrt z?\nAnswer: 674","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 332027850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 + 15. Let p be -23365*-3*2\/k. Let z = 74869\/8 - p. Find the common denominator of -11\/4 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 107 + 20?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 27 + -23. What is the smallest value in 6, x, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**3 + 5*t**2 - 7*t - 5. Suppose 10*r = 8*r + 2, a - 364 = 4*r. Calculate the remainder when 49\/4 - 92\/a is divided by n(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 531 and 2891.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1  (b) 0.17  (c) 0.3  (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p - 2 - 6 = 4*v, -5*p + 5*v - 10 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-7))**(4\/17)\/(v**4*v**(-44)) assuming v is positive.\nAnswer: v**(652\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-10))\/(2673\/2430)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/20034 and -97\/20034.\nAnswer: 20034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Add -120777 and 0.1.\nAnswer: -120776.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - (4 + 5 + -1)) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 461*s + 32. Let u(y) = 465*y + 38. Give 5*u(d) - 6*z(d).\nAnswer: -441*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the second derivative of 2*c + 1\/3*c**4 + 1\/6*c**3 + 1\/2*c**2 - 4. Determine u(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a millennium in months?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 17*o + 6. Let c be ((-26)\/6)\/(8\/120). Let f = -59 - c. What is the tens digit of q(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-396)\/9 - 3708\/412.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**2 + 27*i - 58.\nAnswer: (i - 2)*(i + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:38 AM and 1:26 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17526*l**3 - 22*l + 44325*l**3 + 23*l.\nAnswer: 61851*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -52 + (-3120)\/(-136) + 29?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 127*d**2 + 129*d**2 - 257*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -24 + 11. Let q(h) = 245*h + 1475. Let m be q(-6). Sort c, 1, m.\nAnswer: c, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 61 = -3*g, 57 = h + g - 0*g. Let d = -15 + h. Let w = -26 + d. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l**(-13\/3)*l))**27 assuming l is positive.\nAnswer: l**117","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -5*h - 29. Let t be p(11). Let j = t - -88. Suppose -w - 13 = -4*m, j + 15 = m + 5*w. Which is the smallest value?  (a) 17  (b) 1  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/2*n + 1\/8*n**2 + 1\/2.\nAnswer: (n - 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2653 (base 15) to base 11\nAnswer: 6165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the first derivative of -113*m**2 + 0*m**3 - 314 + 351\/4*m**4 + 0*m. Find the second derivative of n(v) wrt v.\nAnswer: 2106*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 14*k**2 - 1608*k - 161604. Let b(d) = -3*d**2 + 402*d + 40401. Let j(q) = -18*b(q) - 4*l(q). Factor j(y).\nAnswer: -2*(y + 201)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -29248 - -1286831\/44. What is the common denominator of 103\/132 and w?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2300 + 2302. Suppose -d - 79 = -5*k + 241, 0 = -4*k + 5*d + 256. Calculate the highest common factor of k and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -76 - h + 6*h + 76.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -18.6 + 3.2. What is x rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -32 - -71. Suppose -2*b + 3 = -y. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -5*(-50 - (3 - 1)). Suppose -3*f = 2*c + 128, -36 = -5*f + 2*c - t. Round f to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3032170 rounded to the nearest 100000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 + 1. Let v(w) = 3*w**2 + 164*w + 701. Let i be v(-50). Let c(p) = p**3 + 4*p**2 - 5*p. Let q(g) = -g**3 - g**2 + g. Determine i*c(h) + t*q(h).\nAnswer: -3*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4 and -0.0612854.\nAnswer: 0.2451416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 4)*(6*n**4 - n**4 - 4*n**4) + (-1 + 2 + 0)*(-2*n**4 + 0*n**4 + 3*n**4).\nAnswer: -3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 10*r - 113. Let i(p) = -14*p**2 + 523*p. Determine i(x(h)).\nAnswer: -1400*h**2 + 36870*h - 237865","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (976 - 977)\/(1\/(-57))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -203, 1, 5, -10, -4 in increasing order.\nAnswer: -203, -10, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**2 + 165*o + 6806. Calculate w(-81).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**3 - 22*i**2 + 106*i + 22. What is l(7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -5, -3, 298, 0.5 in increasing order.\nAnswer: -5, -3, -1, 0.5, 298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**2 + 1. Let w(x) = 4*x**2 - 3*x - 1. Let p(s) = j(s) + w(s). Let l be p(-7). Calculate the highest common factor of 21 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2408?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-1 - 933)\/(-16 - (-224)\/16) is divided by 55?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/(-50)*-13)\/(282\/940)*-5.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(1\/5)\/(o**(-3\/5)\/o))\/(o\/(o*o**(-3\/7))*o**(-6\/5)))\/((o**(2\/15)*o)\/o*o**(3\/4)\/o*o**(-1\/7)*o\/(o\/(o*o**(-2\/19)))) assuming o is positive.\nAnswer: o**(15451\/7980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*-6*(sqrt(1539) + 0 + sqrt(1539)))**2.\nAnswer: 7978176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 25*a**2 - 8*a - 4. Let q(f) = -24*f**2 + 8*f + 3. Let l(v) = 3*j(v) + 4*q(v). What is the second derivative of l(b) wrt b?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-2\/7)\/j**(-1))\/(j**(-1)\/j)**49 assuming j is positive.\nAnswer: j**(691\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 7 - 8f8?\nAnswer: -8f1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*d + 4*u + 176, -5*d = -0*d - 4*u - 288. Suppose 10*s - 17*s + d = 0. What is the lowest common multiple of (-1 + -1)\/(6\/(-15)) and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1978533 - 2560660 = -512*o + 5440711. Does 16 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16560563?\nAnswer: 1049, 15787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the first derivative of t**3\/3 + 3*t**2 + 4*t - 2. Determine p(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11155 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-731)\/30 - 68\/85 and 6 - (-8)\/8 - 405\/85?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -34, 14, 86, 176, 278?\n\"Answer: -z**3 + 18*z**2 + z - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3498 divided by -1166?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4455*q**3 - 4269.\nAnswer: 13365*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (6 + -7)*-3*(-6)\/(-153). Which is the nearest to -2?  (a) m  (b) -0.3  (c) -4\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2, 180, 0 in descending order.\nAnswer: 180, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v = 2*h + 15, 18 = -2*v + h + 23 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 30\/(-4)*8\/(-12). Suppose -i + 1 = -f. Suppose -110 = -4*y - 14. What is the highest common divisor of i and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**3 - 19*x**2 - 20*x. Let l be c(20). Let m be 13\/12 - ((-1)\/(-4) + l). Put m, 0.3, -5 in ascending order.\nAnswer: -5, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 3) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -81*v**2 + 36*v**2 + 36*v**2.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 2*w = 5*w. Suppose w*k - 14 = 7*k. What is the smallest value in 7, 4, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -14b - -52?\nAnswer: -b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -837 + d?\nAnswer: -829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d - 38 - 14. Let u be (-2)\/6 - d\/6. Let o be (-27)\/21 - (-2)\/7. Put o, u, 0.5 in increasing order.\nAnswer: u, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -832, -1972 in descending order.\nAnswer: -3, -832, -1972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 <= 10206\/2297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 8439415 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 105516 and 73956?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 1 + 4)*(0*u**2 - u**2 + 3*u**2)*(7*u + u + 9*u).\nAnswer: -34*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/2 in 1, 1\/7, -16, 4, -0.05?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 3, -5, -1, -790 in increasing order.\nAnswer: -790, -5, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000100000111111 - 110?\nAnswer: 1000100000111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h + 3. Let q be m(-7). Let c(a) = 7*a**2 + 1. Let w(o) be the first derivative of -o**3\/3 + 40. Determine q*w(l) - c(l).\nAnswer: -3*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (4 - -7)*2\/1. Suppose -4*z - 4*k + k = -23, 5*k + 55 = 5*z. Suppose h = 2*d - z. What is the greatest common factor of 15 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1020200222100 (base 3) to base 16.\nAnswer: -a1f4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 525 and 225?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -86.99999723 + 87. What is q rounded to 7 dps?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 11*p**4 - 35*p**3 - 209*p**2 - 487*p - 377. Let s(t) = 3*t**4 - 12*t**3 - 70*t**2 - 162*t - 126. Let b(l) = 21*s(l) - 6*w(l). What is a in b(a) = 0?\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -12*i. Let c(t) = 6*t - 15. Let s(v) = v - 15. Let k(d) = 2. Let m(o) = -6*k(o) - s(o). Let u(a) = 2*c(a) + 10*m(a). Determine u(b(j)).\nAnswer: -24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 36.2 - 36.055. Let z = m + 0.445. What is z rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d**2 + 10708*d + 10704 = 0. What is d?\nAnswer: -2676, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 4171502 (base 8) to base 10\nAnswer: 1110850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = -3*t + 18, 0 = 2*v + 8*t - 4*t - 12. Let f be ((-6)\/21)\/(v\/14). Find the third derivative of 4*s**2 - s**f - 2*s**2 - 4*s**4 wrt s.\nAnswer: -96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1944.20649095 - 1986.206492. Let t = 86 - 44. Let a = v + t. Round a to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -27309 + 191540\/7. Suppose r + 60 = 2*k, -r = 2*k + 3*k + 39. Let n = u + r. Which is bigger: 2\/5 or n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*r - 3*r**5 - 6*r**3 - 5*r**4 + 0*r**4 - 4*r**4 + 6*r**2 + 3 + 0*r**2.\nAnswer: -3*(r - 1)*(r + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.02486485 to 3 dps.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-3*sqrt(6)*-2 - sqrt(6) - -1*sqrt(600))\/((sqrt(72)\/sqrt(3))\/sqrt(12) + sqrt(2) + (sqrt(6)\/sqrt(3) - sqrt(2))*2))**2*3.\nAnswer: 2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrnrirnrernnrnnr. What is prob of picking 1 n, 1 i, and 1 e?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 63289 smaller than 63292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -3.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in three tenths of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -3*s**3 + 1 + 2*s**3 + 3*s**3 + 2*s. Suppose 3*u = t - 155 + 142, t + 3*u = 31. Let a(x) = 1 + t*x - 3*x - 11*x - 7*x. Determine -2*a(r) + v(r).\nAnswer: 2*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + x - 2 + 4)*(-2 + 0 + 1)*(77 + 80 + 34) to the form j*x + c and give j.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -14*a + 4. List the prime factors of z(-14).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-7)\/(133\/(-42) + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/93?  (a) 977  (b) 3  (c) -1\/36  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 25891401 * 0.4.\nAnswer: 10356560.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, -4, 652, -5, 6, 4 in increasing order.\nAnswer: -10, -5, -4, 4, 6, 652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, o: 1, i: 2, p: 1, j: 1}. What is prob of picking 2 k and 1 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 66032.235ns?\nAnswer: 0.0000000183422875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 - -4.9. Let n be 8*2\/8 - -25. Suppose 29*m = 20*m + n. Which is the closest to -2\/7?  (a) m  (b) s  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -2*n**3 + n**3 - 3*n + 10*n**3 + 2*n. Determine m(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 196 and 77897\/395 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1173*f - 180591 = -4714*f for f.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**2 + 27*t - 158. Let s be c(18). Let b(k) = -2*k**2 + 4*k + 21. What is b(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 24 - 43. Let t = q - -42. Calculate the remainder when 64 is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.4368 to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 divided by 65934?\nAnswer: 5\/32967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1408126 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -56675444 divided by 10\nAnswer: -28337722\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4463 - -4771. Solve 295*x = y*x + 39 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 574 is divided by 554.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 344 divided by -1.\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -2269, -2303, -2337, -2371?\n\"Answer: -34*a - 2235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3\/2 + 7*s - 2*s**3 + 7\/2*s**2.\nAnswer: -(s - 3)*(s + 1)*(4*s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 478*h - 1422*h + 459*h + 483*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -73*l = 1252 - 376 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -427 - -426.0084. Let d = l + 1. Round d to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3732642861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 135*s + 243 = -180*s + 873. Solve 12 = s*x - 2*q, -x = q + q for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1029*k - 34 = -4*r - 1034*k, 5*r - 2*k - 26 = 0. Is -145 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5290 - 230*f + 5\/2*f**2.\nAnswer: 5*(f - 46)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2497 + 2492.9. What is the third biggest value in 1\/5, -4, 0.3, 4, n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v - 2. Let u be t(-7). Let y be 60\/(-8)*(-5)\/(50\/(-8)). Let j be (1\/(-1))\/(5 + y). Sort j, u, -3, -1 in decreasing order.\nAnswer: u, j, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w + 11 = 2*d + w, -2*w = -d + 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -6814*h**3 - 2*h**2 + 4*h + 7. What is the remainder when k(-1) is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 divided by -384.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-2)\/2*(4 - 8) - -533 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/(-825)*5*3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 5, p: 2, e: 2, j: 3}. Give prob of picking 1 p and 1 l.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g + 26 = -2*j, -4*j = -g - 0*j + 24 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u + 3*u - 5*u)*(2*u + 0*u + u - 1)*(-19 - 24 + 60).\nAnswer: -153*u**2 + 51*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(3\/2)*p*p*p**(-1\/14)*p\/p**(11\/4)*p**(-16) assuming p is positive.\nAnswer: p**(-401\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 6411980383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 = -92*m + 81*m. Let k = -3 - -5. Suppose -o**4 - 9 - 4*o**m + 51*o - 39*o + 4*o**k - 2*o**2 = 0. What is o?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 9, j: 5, k: 2, a: 2}. Give prob of picking 1 a and 2 k.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 3*n = 225, 4*n - 6*n + 202 = 4*b. Suppose 0 = -b*z + 64*z - 37440000. Round z to the nearest one hundred thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*b - 32*b - 20*b**2 + 27*b**2 - 72*b.\nAnswer: 7*b**2 - 88*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 22515 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p\/((p\/(p*p\/p**7*p)*p)\/p)*p**8 assuming p is positive.\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 5*m**2 + 8*m + 5. Suppose -16 = -2*t - o, -3*t = -4*o - 9 - 4. Let l be i(t). Let r = l - -755. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 39006*k**2. Let l(j) = -6*j**2. Give l(b(g)).\nAnswer: -9128808216*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 15*b**2 - 28*b - 23. Is t(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 348\/19 in -2, 5, -1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 32747539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4615 divided by 15486.\nAnswer: -4615\/15486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 300 is divided by 67?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = -2*g + 3*g, 2*j - 17 = -3*g. Suppose g*s + 12 = 2*z, -5*z - 2*s = 2*s + 3. What is the least common multiple of 6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6 + -4. Let j = 5 - t. Suppose j*n - n = 20. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4\/15, -620, 4\/3, 8, 2\/39?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -750, -774, -798, -822, -846?\n\"Answer: -24*h - 726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 97714724?\nAnswer: 2, 24428681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -130 - -133. What is the nearest to 0 in 5, 2\/37, m?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 193819792 to the power of 1\/2, to the nearest integer?\nAnswer: 13922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2.96 + -0.04. Sort -2, 3, q in decreasing order.\nAnswer: 3, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 3*d**2 + 2*d - 2. Let b = 1789 - 1784. Let t(m) = m**2 + m - 1. What is b*r(z) - 10*t(z)?\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0008118 rounded to 5 dps?\nAnswer: 0.00081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*b + 24 = -20*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c + 21. Let n be m(-17). Let y be (-2)\/(-3) + n + 201\/(-45). Let s(d) = d**2 - 3*d - 3. Let q be s(4). What is the nearest to q in -1\/5, -0.6, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -14439203.86 to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(80) + sqrt(80)*-2 - (4*sqrt(80) - sqrt(5))**2.\nAnswer: -1125 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s**3 - s**2 + s - 1. Suppose 17 - 7 = -5*w. Let n be b(w). Let l = -23 + 28. Sort l, n, 2.\nAnswer: n, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s = 7*u - 142 + 150, s + 3*u + 7 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -59.55 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 3)*(-5 + 8 - 17)*(-3*u**3 - 7*u + 7*u).\nAnswer: 126*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5249, -10528, -15833, -21176, -26569, -32024?\nAnswer: -37553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 45 + -107. Let s = j - -318\/5. Determine n, given that 2\/5*n**2 - 8\/5*n + s = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 168*n**3 + 0 + 174*n**3.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -13*t + 5. Let y(j) = -3*j + 1. Let x(h) = 2*m(h) - 9*y(h). Let o = 33 - 28. Determine x(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 2*i = 30, 2*k = 3*k + i - 9. Let w(m) be the second derivative of -2\/3*m**3 - 1\/12*m**k + 2*m + 2*m**2 + 0. Calculate w(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 minutes before 12:01 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -12\/3163 - 6194\/34793. What is the fourth biggest value in -9, 0.028, j, -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/384846 and 2\/1309.\nAnswer: 384846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -5468 plus 2754?\nAnswer: -2714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -35828024 divided by -4\nAnswer: 8957006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4720.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 4*c**2 + 16*c + 69. Is 4 a factor of q(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**3 - 6*w**2 + 14*w - 7. Let o be k(-8). Solve 0*i - 2*i - o = 3*a, -5*a - 3*i - 16 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:47 AM and 12:16 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 801777 and 579?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 + 82?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -969*d**3 + 156*d**4 + d**5 + 0*d**5 - 471*d**3 - 1600*d**2 - 5*d**5.\nAnswer: -4*d**2*(d - 20)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*m + 6098 = -6425 + 12109 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**3 - 2386*g**2 + 11892*g - 14256.\nAnswer: 2*(g - 1188)*(g - 3)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -17*f**2 + 15127*f - 338925. Determine s(23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00042932918 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(65)\/(sqrt(30)\/sqrt(6)) + (-3 + sqrt(1300))**2.\nAnswer: -59*sqrt(13) + 1309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -53233451 - 2?\nAnswer: -53233453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -37?  (a) 0  (b) -1\/5  (c) -53  (d) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**2. Let l(y) = -21*y**2 + 6*y + 1. Let z(v) be the first derivative of 14*v**3 - 5*v**2 - v - 29. Let q(w) = -5*l(w) - 3*z(w). What is c(q(p))?\nAnswer: -441*p**4 - 84*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9451847l in millilitres?\nAnswer: 945.1847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-34 - 2737\/(-102)) + 7)*(5 - 1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45*k**3 - 137*k**3 + 55*k**3.\nAnswer: -37*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*s**4\/3 + 64*s**3\/3 - 248*s**2 - 10816*s\/3 + 11492\/3 = 0. Calculate s.\nAnswer: -17, -13, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45300238 is divided by 469?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -55384, -68295, -81206, -94117, -107028, -119939?\nAnswer: -132850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 + -1. Suppose -p - 11 = -3*w. Let q be 2\/(w\/(-4) + 2). Calculate the greatest common divisor of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -33 + 32.7. What is the smallest value in h, -0.5, -1, 0.07?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 4*f**2 + 16*f + 1. Let c(r) = -2*r**2 - 8*r - 1. What is 5*c(g) + 3*p(g)?\nAnswer: 2*g**2 + 8*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2643259, 5286525, 7929791, 10573057?\nAnswer: 13216323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 14 and 190?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 5*v = -0*v - 18, -5*v = 4*f - 19. Let a be f\/3 - ((-393)\/9 - -3). Let q = 51 - a. What is the least common multiple of q and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -9187 + 3?\nAnswer: -9184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 91980043?\nAnswer: 257, 463, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4, -29, -0.763, -2, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**3 - 8. Let n = 3852 - 3850. Suppose 0*c + 5*c = -2*q, c = 3*q + 17. Suppose b + n*k = -c*k + 12, -3 = -k. Give m(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (74\/518)\/(4\/(-42))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1.7  (b) -3  (c) 0.3  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 4, n: 1, d: 2}. Give prob of picking 1 n and 1 f.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -76476 or -76486?\nAnswer: -76486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1156 - 2 - (1 - 1 - -4). Let l = s + 2062. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 + -1. Let a be 1\/d - (-56188)\/8. Let f = a + -56085\/8. What is the common denominator of f and 52\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 2, -3, 1, -6, 5392, -1 in decreasing order.\nAnswer: 5392, 2, 1, 0, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 3, s: 2, p: 3, m: 10}. What is prob of picking 1 m and 3 h?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 263776 and 527552?\nAnswer: 527552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 9741 = -2\/159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2 + 3\/2)*0. Solve k = c - 0 - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 13011112 + 302210?\nAnswer: 13313322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 254942 is divided by 63535?\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.5 - 0.7. Let j = g + 2.2. What is the second smallest value in 0.7, j, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 107208 and 638303031?\nAnswer: 13401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 5*c. Let k(l) = -l**3 - l**2 - l - 1. Let i(j) = 3*j**3 + 14*j**2 + 12*j - 10. Let m(x) = i(x) + 2*k(x). Let n be m(-11). Calculate v(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gpf when three letters picked without replacement from {u: 1, o: 5, f: 1, g: 2, p: 1}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -128 by -1.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -16 + -9. Let d = 42 + i. Which is the second biggest value?  (a) 0.5  (b) d  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2861?\nAnswer: 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3412324 to the nearest integer?\nAnswer: 1847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*m**2 + 100.\nAnswer: -4*(m - 5)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(6) + 6*1*sqrt(6))\/sqrt(2).\nAnswer: -35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 173\/17 + -2629\/255. Let r be (50\/18 - 3)*6. Suppose 2*v + 2*v = 16. Sort -0.02, z, r, v in decreasing order.\nAnswer: v, -0.02, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 900.3822 millilitres?\nAnswer: 0.9003822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -20 + 13. Let i(t) = 3*t - 7*t - 3*t + t**2. Suppose 404 = -5*b + 419. Let j(q) = q**2 - 3*q. Determine b*i(f) + k*j(f).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-17304)\/(-30900) + (-3)\/5.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*x - 3*l + 19, 4*l + 6 = -x + 5*l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 438*i + 187 - 2815 = 0. Let g(n) = n**3 - 7*n**2 - n + 7. Let s be g(7). Which is the third biggest value?  (a) i  (b) -4  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y - 3*y + 10092 = 10162 for y.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.1 + 0. Let d = -1675\/3 + 5569\/10. Let x = d + 21\/10. Which is the closest to x?  (a) 2\/9  (b) 0.4  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d\/(d*d\/(d\/(d\/(d\/(d\/d**(-9\/2))))))*d)**(1\/20)\/((d*d**(9\/2)*d*d)\/d)**(4\/11) assuming d is positive.\nAnswer: d**(-1117\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve b = 3*p - 75 + 85, 0 = 3*p + 3*b + 18 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 154106162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -27 + c?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 2*s - 5. Let y be -1 + 0 + -2 + 0. Let g(r) = -r + 3. Let m(l) = y*f(l) - 5*g(l). Let a(d) = 2*d. Suppose -n - 1 = -5. Give n*a(z) + 7*m(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 521 + -53?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 25935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -3*a - 2*a + 2*a - 13*a**2 - 4 - a. Let d(j) = -j**2 - j + 1. Let y(g) = -c(g) + 4*d(g). Differentiate y(i) wrt i.\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17003027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1910825, 1910823, 1910821?\n\"Answer: -2*x + 1910827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = 12*p - 8*p - 3. Sort -10, p, 0 in descending order.\nAnswer: p, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2908 divided by 727?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/55 in -2\/11, 0.2, 0.28, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 - ((6 - 1 - (-54 + 62)) + -6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*k = 13*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o**3 - 972*o**2 - 8586*o = 0 for o.\nAnswer: -477, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 173184222?\nAnswer: 2, 3, 28864037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the third derivative of 1\/112*l**8 + 0*l**6 - 1\/20*l**5 + 0*l**4 + 0*l**3 + 0*l + 0 + 0*l**7 + 3*l**2. Find the third derivative of x(t) wrt t.\nAnswer: 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 125  (b) -5\/7  (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/7  (b) 1  (c) 2361  (d) 14  (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13 + 14. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 - -4. Let y be 0*(c - (-1 - -1)). What is the smallest value in y, -0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**2 + 3*x. Let s be c(-3). Suppose 5*r - 2*r + 2*o - 45 = s, 28 = r + 5*o. Solve -r = -5*b - 33 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**3 + z**2. Let h = -7441 + 7445. Let v(n) be the second derivative of 1\/10*n**5 + 0*n**3 + 0 + 1\/4*n**h - 24*n + 0*n**2. Give 4*q(s) - v(s).\nAnswer: 2*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 13255812 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yay when three letters picked without replacement from {y: 13, a: 6}.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/4 of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3\/(-5) + (-5)\/(-15) + 1655783\/255.\nAnswer: 43, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*r + 208 = r. Let h(x) = 2*x**3 + 8*x**2 + 2*x + 3. Determine h(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*u + 2*u - 64 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -j**3 + 3*j**4 + j**3 + (0*j + 0*j + 3*j**3)*(5*j + 7*j - 4*j).\nAnswer: 27*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 159 - 279. Let q = h + 121. Let p = q - 2. Sort -5, p, -2, 3 in ascending order.\nAnswer: -5, -2, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 0.0347158 minutes?\nAnswer: 2082.948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 2165, 4325, 6485?\n\"Answer: 2160*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/784 and 80\/147?\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 50647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1325143336 - 0?\nAnswer: -1325143336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5 + 5. Let f(d) = d**2 + d + 8. What is the units digit of f(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**3 + 9654*v**2 + 38592*v + 38584.\nAnswer: 2*(v + 2)**2*(v + 4823)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 + -3. Let u = 3 - h. Sort u, 0.4, 1\/3 in descending order.\nAnswer: 0.4, 1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in twenty-one quarters of a week?\nAnswer: 882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 54\/58 + 86\/(-86)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5045666 to the nearest integer?\nAnswer: 2246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -187048 greater than -187046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.07  (b) -3.4  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - -8 - (-41 - 5) - (-9 + (-7 - -20))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 61.87188 litres in millilitres?\nAnswer: 61871.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-204)\/(-255)*10\/16*-14\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/56)\/(1170\/3640)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -2*z - 9. Let h be s(-6). Suppose k = -i - 1, 2 = 4*k - h*i + i. Is 0 + (130 - (k - -3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-19 + 20)\/(1\/(-25)). Let z = -24 - o. Solve -z = -g - 2*k, -31 = -5*g - 2*k + 5*k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 divided by -30537306.\nAnswer: -5\/15268653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2  (b) -15.4  (c) 0  (d) -2\/9  (e) -602.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the first derivative of -3*g**2 + 51*g - 2*g**2 - 104*g - 3 + 47*g. Differentiate i(h) wrt h.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/3 or 191?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**3 - 985628*m**2 + 236637120*m - 14199955200.\nAnswer: -2*(m - 120)**2*(m + 493054)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3)\/(-6) - 12\/(-8). Suppose 0*r - 160 = p*r. What is r rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 72 - 72.58. Let r = s + 0.5. Let z = -2010 - -2010.3. Which is the nearest to r?  (a) 0.4  (b) z  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = 3*f + 6*o, -7*f - 4*o = -8*f - 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 922585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 289060360?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 120 = -4*c, -23 + 33 = q - 2*c. Calculate the remainder when 430 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/12)\/((-4961)\/(-1230) - (-9)\/5)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2034 - -100?\nAnswer: -1434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -959, -1833, -2709, -3587, -4467, -5349?\n\"Answer: -n**2 - 871*n - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 23492008 = -2*h, -14*h = -9*h + 20. What is r rounded to the nearest 100000?\nAnswer: 11700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -6, 2\/19, 0.2, 1\/2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-6)*59\/(-118)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -2, 1, -3, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2400511?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.2, 2\/7, -0.4, 0.0066, 4?\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -407*t + 223. What is the hundreds digit of f(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2346 is divided by 102.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 22276263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2360294946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 698*l**2 - 20*l - 2552. Let y(z) = -5*z - 1. Let g(k) = a(k) - 4*y(k). What is the first derivative of g(s) wrt s?\nAnswer: 1396*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 635 and 254.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (3\/((-99)\/(-12)))\/2\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/(-2) - (-27683)\/31. Suppose -6*t + 1749 = -a. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 124849119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -52942.0763*0.3.\nAnswer: -15882.62289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -469 + 327. Let j = v - -147. What is the remainder when 8 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the first derivative of -s**5\/15 + 5*s**4\/24 - 2*s**3\/3 + 15. Let d(u) be the third derivative of p(u). What is the first derivative of d(h) wrt h?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6758 is divided by 41?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -329210 divided by -75?\nAnswer: 65842\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -259 divided by 259\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (4\/18)\/((-7*(-24)\/588)\/36)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 176*b**3 - 357*b**3 + 177*b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 12?  (a) 0  (b) 1  (c) -28  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7622 + -7622. Solve -h + y + 1 = h, -2*h - 2*y - 2 = v for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3 or 185\/47?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/3, 2, 0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 237 minutes before 9:38 AM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + k)*(-1 + 1 - 6*k) + k**2 + 1098*k - 1183*k + 0*k**2.\nAnswer: -5*k**2 - 85*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6\/31 - 128\/341. Let f(r) = 2*r**2 + 18*r + 25. Let k be f(-7). Which is smaller: k or o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-4)*y)**45\/(y**(-9)\/y**(-1\/3)) assuming y is positive.\nAnswer: y**(-379\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((2\/(-3))\/((-19)\/57))\/1. Let s(m) be the second derivative of 0 - 2\/3*m**2 - 1\/3*m**3 - t*m - 1\/18*m**4. Let s(h) = 0. Calculate h.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = 3*q - 825, 4*q + 2*n - 223 = 863. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 194196642 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 67503, 67307, 66997, 66585, 66083, 65503, 64857, 64157?\nAnswer: 63415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -10 + -4055874?\nAnswer: -4055884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -425994288 divided by 1.\nAnswer: -425994288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 at most -14629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000539 rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -5*1\/(-15) - (-40816)\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 5*q - 430 - 561 = 0, q - 1661 = -5*l. Suppose 3*d - y - 980 = -5*y, -l = -d - 4*y. Let p be (40\/6)\/((0 + -4)\/d). Round p to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 - 0.8. Let l = -0.006 - 0.494. Which is the closest to 1?  (a) l  (b) z  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 3*k = 5*k + 16, -4*k = r - 12. Let y be (-3)\/6 + 34\/r. Let d be (-3)\/12 - (-26)\/y. Let b(v) = v - 3. Give b(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 159*g = 2*g - 29*g + 3906 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 465947810 less than 11?\nAnswer: -465947799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 695756 is divided by 296?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 2\/3, 643, 2, 3, -6.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u + 10. Let d be 4 + ((-1)\/1 - -7). Let o be x(d). Solve o = 6*j - 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-32)\/12)\/(12\/(-12)*4)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 766223 is divided by 654.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(99)*-2)\/(sqrt(1089) - (sqrt(1089)*-3 - sqrt(1089))).\nAnswer: -6*sqrt(11)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -15.3 - -17.3. Which is the nearest to 0.2?  (a) -6  (b) u  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 81.131967us in hours?\nAnswer: 0.0000000225366575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2371 = 5*y + 4*h, 0 = 2*y - y + 3*h + 472. Let q = 1732436\/7 - 247015. Let a = q + y. Which is bigger: -0.1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 5*n - 0*y - 2*y, -n - 1 = -4*y. Suppose -3*o = -9, -z - 2*o = z - 14. Suppose -2*w - 12 = -4. Sort w, z, n in increasing order.\nAnswer: w, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -9\/59270 and 37\/70?\nAnswer: 414890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/7  (b) 0.2  (c) 0.3  (d) -2.59  (e) -2  (f) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 minutes before 11:37 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - -13 - -3 - 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 169*p = -2*y + 164*p + 11965, -29927 = -5*y + 2*p. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 858183, 858185, 858187, 858189, 858191, 858193?\nAnswer: 858195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5905373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8*g**2*w**2 + 10*g**2*w - 2*g*w**3 - 3*g*w**2 + 140*g*w - 11*w**3 - 3*w wrt w?\nAnswer: 16*g**2 - 12*g*w - 6*g - 66*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -2*k**2 - 352*k + 183. Is 126 a factor of u(-71)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -31 - -37. Let c(y) = 5*y**2 - 9*y + 10. Let u be c(r). Let g = -37 + u. Calculate the remainder when g is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 8*s - 23. Suppose -4*m = -0*c - c + 4, 40 = -2*c - 4*m. Let d be k(c). Let o = 204 + d. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4 + (10 - 4) + -5. Suppose -r + 2*b = -393, -7*r - 3*b + 814 = -t*r. List the prime factors of r.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3824, 9573, 17138, 26519, 37716?\nAnswer: 50729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nu when two letters picked without replacement from {n: 1, u: 1, y: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 40216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = 2*l - 15. Suppose l*x + 5 = 29. Let k = -2631 + 2641. Which is bigger: k or x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1940899?\nAnswer: 41, 47339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001673 to six dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.97 + 0.03. Let n = -1.69 - 0.31. Let r = n + w. Which is the smallest value?  (a) r  (b) 7  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the first derivative of 37*y**2\/2 + 125*y - 159. Differentiate a(v) wrt v.\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 242377 is divided by 80663?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 434 and 5828.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -27, -462, -1303, -2550, -4203?\n\"Answer: -203*t**2 + 174*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(171)\/(-1*sqrt(9)) + -5 - ((sqrt(190)*-2)\/sqrt(5))\/sqrt(2).\nAnswer: -5 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2262 + -2255. Solve -3*d = -5*z - 15, 4*d + 9 = t*z - 10*z for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1201 divided by 1?\nAnswer: -1201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5510637mm to kilometers.\nAnswer: 0.0000005510637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 16603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 143 a factor of 304307432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m + 4*o = 29, 6*o = -2*m - 661 + 633 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*f + 2*f - 2*f)*(28 + 61 - 1 + 2*f) to the form b*f + r*f**2 + a and give b.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v - 4*v = 0. Let a = 19 + v. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6858 divided by -131.\nAnswer: -6858\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8512 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -116.7 + 114. Let y = 32 - 28.8. Let o = y + h. Which is the biggest value?  (a) 5  (b) -3  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 5*s = -0*s - 943, -3*g - 4*s + 941 = 0. List the prime factors of g.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 5*t = 5310, 3599 = 2*p - 3*t - 7028. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -32, 9, 50?\n\"Answer: 41*w - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -2 + sqrt(11)*3 + 4.\nAnswer: 3 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wswuwpwsswwp. Give prob of sequence wps.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -8 + 15 + (6 - 2) + -1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 94002619237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 3, f: 1}. What is prob of picking 3 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -12*x**3 + 14*x**2 - 12*x - 12. Let v(f) = 11*f**3 - 15*f**2 + 11*f + 10. Let k be (-11)\/(-55) + (-31)\/5. Let m(d) = k*v(d) - 5*z(d). Factor m(s).\nAnswer: -2*s*(s - 3)*(3*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -3*s**5 + 21*s**4 + 2154*s**3 - 15294*s**2 + 24057*s - 10935 = 0.\nAnswer: -27, 1, 5, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 297, 237, 291, 465, 765, 1197, 1767?\nAnswer: 2481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2.75847 - 2.75. What is u rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-3*s - 3*s + 4*s)*(-10977 - 333 + 320) + 2 - 2*s - 2)*(1 - 1 + 2) as c*s + r and give c.\nAnswer: 43956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 + -10?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -u**5 - 3*u**3 + 3*u**3 + (10 - 12 - 21)*(-u**2 - 9*u**2 + 332*u**5 - 342*u**5).\nAnswer: 229*u**5 + 230*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 92*v - 425. Let r be d(5). Solve 75 = -8*b + r for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b**5 - 225543*b**4 - 12718426110*b**3 - 114450949586*b**2 - 190740305985*b + 317909907225 = 0. Calculate b.\nAnswer: -112767, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -307448*g**2 + 298172*g?\nAnswer: -614896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.1 + 0.2. Let t = -0.100024 + r. What is t rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 + -8. Let v = -792\/23 - -4598\/207. Let b = m - v. What is the third biggest value in 4, b, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 57\/(-19)*(-1)\/(-12).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 14*y**2 + y. What is the tens digit of z(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6129364*b**2 - 13806255*b wrt b?\nAnswer: 12258728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -3, 14.\nAnswer: -3, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**3 + 36*o**2 - 25*o + 8. Let v be y(35). Let a = v - 347. Solve -7*h + a*h = -4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 81*r - 42*r - 380 = 20*r for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*d**3 + 2*d**4 + 392 - 227 + 127*d - 167 - d**2 as o*d + w*d**4 + b + l*d**2 + t*d**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/13 or -7.5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 16286521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 * 39955944\nAnswer: -15982377.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 769315 (base 15) to base 5\nAnswer: 2421303240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -26431 + 26471. Suppose j - 93 = 158. Let y = j - g. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from {f: 3, x: 4, p: 10, h: 1}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 t when two letters picked without replacement from {z: 1, i: 1, q: 1, y: 1, t: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-60)\/(-12)*(-2)\/(-225). Is d >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*x**5\/5 + 51*x**4 + 450*x**3 - 1377*x**2 + 4374*x\/5 = 0.\nAnswer: -27, -18, 0, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 454032210?\nAnswer: 2, 3, 5, 1279, 11833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/2702 and -53\/896.\nAnswer: 172928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express i**4 + 2*i**2 + 34*i + 0*i**3 - 64*i + 2*i**3 as w*i + d*i**3 + j*i**2 + v + n*i**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add together -62 and 28262.\nAnswer: 28200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1232)\/154*6\/(78\/(-169)).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) -1\/2  (b) 8\/7  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 519657460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 73641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sum 65 and 193.\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.21 - -865?\nAnswer: 864.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (22\/8)\/(6 + (-51)\/9). Do 8 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44753 is divided by 11184?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 332\/21 + -38\/3. Find the common denominator of s and -9\/70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -398310*b**4 - 582160*b**2?\nAnswer: -9559440*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -102 - 1213310?\nAnswer: -1220012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the second derivative of 0*c**5 + 103\/2*c**2 + 0*c**3 + 0*c**4 - 7\/6*c**6 - 108*c + 0. Find the first derivative of q(g) wrt g.\nAnswer: -140*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 76\/423 + 2\/47. Solve 0*d + c*d**4 - 2\/9*d**5 + 0*d**3 + 0 + 0*d**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.001 in 0, -13, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 253169 to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1080?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 49 = l, -p + 2*l + 2 - 3 = 0. Let s(d) = -10*d - 9. Let a be s(p). Suppose -5*h - c = -3*c - a, -5*c - 60 = -3*h. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-14)\/(v\/v**(-1)))**4 assuming v is positive.\nAnswer: v**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 9*0.049\nAnswer: 0.441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.4522 milliseconds in seconds?\nAnswer: 0.0024522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20\/(-55))\/(6\/18*-6).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -35.7*-102.8\nAnswer: 3669.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-14\/3)\/d)\/d*(d*d\/d**(-16)*d)\/d)\/(d**(-4)*d*d*d**(-2)) assuming d is positive.\nAnswer: d**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1340)\/(-36) - 17 - (-3 - 29\/(-9)). Solve -d*m + 26*m = -42 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -71, 5 in ascending order.\nAnswer: -71, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 15*r - 27. Let j be p(3). Suppose -j = -3*z + z. Differentiate 3*n**4 - 11*n**4 - 6*n**4 - z - 1 with respect to n.\nAnswer: -56*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -303, -307, -315, -327, -343, -363, -387?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 361 + 99. Let z = b - 463. What is the closest to -2 in z, 0, -2\/3, -6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 13 + -17. Let n = 13 + s. What is the third smallest value in n, 0, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2 + 0 - 21) + 2. Let s = l - -38. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 12 - 35. Let j = g - -33. List the prime factors of (-56)\/(-10) - (-4)\/j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j**2\/3 + 7*j - 54 = 0 for j.\nAnswer: -27, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 3*i + 96 = u, 4*u + 5*i - 96 = 0. Let w be u\/15*(-60)\/(-8). What is the highest common divisor of w and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0\/(-2) - (-4)\/(-42). Which is the second biggest value?  (a) -1\/5  (b) -6  (c) v  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the second derivative of 29*p**7\/42 + 9*p**6\/10 - 31*p**5\/20 - 9*p**4\/4 + p**3\/3 - 168*p. Find b such that v(b) = 0.\nAnswer: -1, 0, 2\/29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**2 - 1. Suppose 0 = o + 5*b - 12, -4*b + 24 = -3*o - o. Let v be n(o). Let d(p) = -p - 28. Let t be d(v). Are -19 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*m**3 - 3 + 2*m**2 + 3 + 2 to d + j*m**2 + g*m + h*m**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -146*t - 13. Let a be u(-5). Suppose 2*j = -4*q + a - 99, 4*q + 4*j - 624 = 0. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8*c**5 - 3*c**4 - 207*c**2 + c - 7400 wrt c?\nAnswer: -160*c**3 - 36*c**2 - 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 42298678481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {q: 4, p: 1, i: 7, g: 3, a: 2, r: 1}?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.02 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*-2*sqrt(156) - sqrt(156))\/(6*sqrt(588)).\nAnswer: -5*sqrt(13)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 4980, 4986, 4996, 5010, 5028, 5050?\n\"Answer: 2*i**2 + 4978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 12109720 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: Round -25822.738 to the nearest 100.\nAnswer: -25800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, 4\/7, -275?\nAnswer: -275","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 6 = -4*i. Let m be 1\/i*(-12)\/2. Solve -m = 2*s - 4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -34, 4, -143, 1\/5, 4\/5, 35?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -339 + 374. Round i to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 16 - 12654?\nAnswer: -12635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 4425, 14494, 31277, 54774, 84985?\n\"Answer: 3357*r**2 - 2*r + 1070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 462*q**3 + 57440*q**2*z + 27098353*z + 3 with respect to q.\nAnswer: 1386*q**2 + 114880*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.83107 hours in seconds?\nAnswer: 6591.852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 35 - 19. Let u = 28 + r. Let l = u + -43.99961. Round l to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2434, 0, -38, 3, -0.7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -112 + 114. What is the common denominator of -39\/127 and (z\/(-30))\/(2 + (-231)\/117)?\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*w - 5*k - 10 = 39*w, 3*w - 5*k = 0. Put 25, w, -1 in decreasing order.\nAnswer: 25, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37039*w - 7470*w + 10789*w - 29552*w.\nAnswer: -63272*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 8) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 238a (base 11) to base 2.\nAnswer: 110000110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in nine tenths of a centimeter?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 1 = -3. Suppose 5*c + 18 = h, 0 = c - b. What are the prime factors of h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(-2\/9)*m**(2\/17)*(m\/(m\/(m*m*m\/m**(-2\/13)*m*m*m))*m)\/m**7)**13 assuming m is positive.\nAnswer: m**(2087\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -y + 402, -31*s - 418 = -y - 32*s. What is the remainder when y is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iccccccciicc. What is prob of picking 1 i and 1 c?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 55659303?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -63\/533?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (440\/37400)\/((6\/(-8))\/((-3)\/2)).\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-1\/3)\/(v\/(v\/(v*v**(-3\/4))*v)))\/((v**(3\/7)*v)\/(v*v**(-2\/7))) assuming v is positive.\nAnswer: v**(-25\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -10 + (-2)\/1 + 5. Suppose 0 = -5*j - w + 197, 4*j - 89 - 77 = -5*w. Let c = u + j. What is the greatest common factor of c and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1\/3510 - -730073\/24570. Let m = h - 30. Let a = 23 + -25. What is the third smallest value in a, m, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5230630 divided by 47?\nAnswer: -111290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -6*s**3 - 133*s**2 - 454*s - 69. Calculate z(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 2111 = -4*v, -4*v + 2116 = -65*x + 61*x. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the third derivative of -11*c**9\/504 - c**6\/40 + 8*c**5\/5 + 149*c**2. Find the third derivative of v(s) wrt s.\nAnswer: -1320*s**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1\/32 + -9\/32. Which is the smallest value?  (a) 0.29  (b) x  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 42 and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1073190345.\nAnswer: 3, 5, 43, 1663861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**(2\/3)\/l)**(-1\/14))**(-18))**(8\/9) assuming l is positive.\nAnswer: l**(-8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 697791.2 centimeters in meters?\nAnswer: 6977.912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 132 and 96.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 18573 - 18511. Calculate the greatest common divisor of 6386 and t.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -23\/394 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*x - c - 63 = -52, -41 = 4*x - 9*c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -52 + 54. Suppose -3*b + 4 = -i, -5*b = -10*b - w*i + 14. Suppose 0 = k + 2*k. Which is greater: k or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -0*y - 6. Put y, 0, -8 in descending order.\nAnswer: y, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -26446414*c**4 - 5978001*c**2.\nAnswer: -634713936*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 40019575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*v**2 + 10958*v - 10958*v.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jo when two letters picked without replacement from jjooojjjoo.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -31, -48, -67, -88, -111, -136, -163?\n\"Answer: -n**2 - 14*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -33*v - 10. Let i(u) = 26*u + 9. Determine 4*i(j) + 3*k(j).\nAnswer: 5*j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 - -1. What is the smallest value in 2, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31218166781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 46*w**2 - 47*w - 6. Let o(z) = -31*z**2 + 31*z + 4. Let v(d) = 7*o(d) + 5*y(d). Is v(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.1204 - 778.1204. Let c = 807.5 + b. What is c rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80 = -14*k + 5*p, -16*p + 42*p - 36 = 8*k + 13*p + 15*p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**3 - 34*c**2 + 35*c + 94. Suppose -2*z + 198 = 4*z. What is the remainder when d(z) is divided by 42?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.526054 days in hours?\nAnswer: 12.625296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes before 3:33 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m + 2*m - 3*m)*(4 + 8 + 1).\nAnswer: 26*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**3 + 40*a**2 - 267*a - 36. List the prime factors of y(14).\nAnswer: 2, 3, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**3 + 15*u**2 + 11*u - 10. List the prime factors of b(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 5, p: 2}. What is prob of sequence fff?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (38*q**2 + 14*q + 14*q - 34*q**2)*(q - 2*q**3 - q).\nAnswer: -8*q**5 - 56*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 4*r = -i + 229, -4*i + 276 = 2*r. What are the prime factors of i?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xfxcffxfcccxxcc. What is prob of sequence xxxf?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is (-52)\/10*19260\/(-72) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**10\/(k**(-4\/3)\/k*k))\/(k**6*k*k**(5\/4)) assuming k is positive.\nAnswer: k**(37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 3*k**2 - 17*k + 7. Give f(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*s**5 + 805*s**4 - 10175*s**3 + 35375*s**2 - 15930*s - 62280 = 0. What is s?\nAnswer: -173, -1, 3, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -305cc8 - -2?\nAnswer: -305cc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4 + 2. Let k be (-72)\/(-48) - (-1 - (-21)\/6). What is the closest to -3\/4 in k, -5, d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 61, -0.3, -0.2.\nAnswer: -0.3, -0.2, 2, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4e + -1b?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3 - (1 + 3 + 0). Let c(r) = -4*r. Let b be c(s). Let h be b\/10*(-2 + 12). Solve 12 = 5*i - 8*i + p, h*i - 3 = -5*p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = o - 4, -5*d + 5*o - 235 = 0. Let h = d + 51. Solve 4*u + 1 + 3 = h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7005*v - t = 7010*v + 3, 2*v - 3*t - 26 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*b - 2*y + 9, 5*y - 7 = 3*b - 31 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 38*p + 13729 + 2*p**3 - 58*p - 13731 to the form r + h*p + z*p**3 + g*p**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that -5*g**3 + 199680*g**2 + 199685*g = 0.\nAnswer: -1, 0, 39937","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-10 + 5 + 29)*(2*o**2 + 2*o + 0*o**2 - 4*o) as z + b*o**2 + m*o and give m.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*j**3 - 76271269564*j**2 + 11*j**3 + 76271269564*j**2.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 41*m + 1630. Determine b(-40).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 2 - 1)*(-8 + 8 + 2*l)*(-l**2 - 11 + 11) to z*l**3 + t*l + x + r*l**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000058884 to six decimal places.\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -88 + 194. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-5075)\/150)\/((-10)\/54). Let c = 60871\/330 - j. What is the common denominator of -71\/33 and c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (35 - 30 - -53) + (-11 - 4)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 3*r + 25. Let m be t(-7). Suppose 4*u - m*v = 0, 2*u - 3 = -0*u + v. Put -2, u, -3, 1 in descending order.\nAnswer: u, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.07*73\nAnswer: 5.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 30402026 and 398?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3.335 - -1.335. Sort s, -4, 11, 0.1 in ascending order.\nAnswer: -4, s, 0.1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(162) + -1 - sqrt(162))*-1*-6*6)**2.\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 1 times 1.289082\nAnswer: 1.289082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v - 2*j - j + 708, v - 4*j + 364 = 0. Let l = 580 + v. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3205 + -3187. Suppose 5*c - 2*g - g = 440, 0 = -4*g - 20. Let y = 153 - c. What is the remainder when y is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is next in -151, -136, -109, -64, 5, 104, 239, 416?\nAnswer: 641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the third derivative of 107*u**6\/120 + 3*u**5\/2 + 112*u**2. What is the third derivative of i(q) wrt q?\nAnswer: 642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 131493332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/4  (b) -5  (c) -1  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -55 - -59. Let v be 247 + -3 - (12\/u + -2). Let m = v + -138. List the prime factors of m.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**16)\/((k*k\/k**(1\/30))\/k))\/(k**24*k*k*(((k*(k*k**17\/k)\/k)\/k)\/k)\/k) assuming k is positive.\nAnswer: k**(-1679\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*j**2 - 3*j**2 + 4*j**2 + (3*j**2 + 2*j - 2*j)*(-13098 + 1100 - 2988) to the form l*j + p + c*j**2 and give c.\nAnswer: -44957","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/r**(-7))\/r)\/(r\/r**(-5)*r*r)*r**2*((r\/r**7)\/r)\/r)\/(r**(9\/2)\/r*r*r**(-8))**36 assuming r is positive.\nAnswer: r**119","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 17*p**5 - 17592*p**4 + 5*p**3 - 4*p**2 + 1762*p - 349 wrt p?\nAnswer: 1020*p**2 - 422208*p + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (615\/45 + -14)\/((-80)\/48*8\/(-40))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 123576 and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -150, -149, -148, -147?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, n: 3, d: 2, e: 1}. What is prob of sequence edx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -20, 1, 0.4, -5, -14\/19?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4026 - -5?\nAnswer: 4030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 23569 - 22316. Which is bigger: 1248 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 31, 0, -8884 in increasing order.\nAnswer: -8884, 0, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the first derivative of 42*a**2 - 177. Let t(q) = 3*q**2 + 4*q**2 - 9*q**2. Give j(t(p)).\nAnswer: -168*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -117 - -78. Let n = 132 + -78. Let d = n + o. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 163839648896 + 0.032?\nAnswer: 163839648896.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56 = 5*p - 6. Let y = -7 - p. Let r(n) = n - 5*n + 5*n + y. What is r(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that -r**2 - 731514*r - 133778183049 = 0.\nAnswer: -365757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*c = -51*c + 1430. What is the greatest common factor of 26 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j**3 - j**2 + j + 2. Let u be r(0). Suppose -u*p + 9 = -p. Calculate the greatest common divisor of p and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 24417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**0*l)**(-4\/25)\/((l\/(l*l**(4\/5)))\/((l*l**6)\/l)))\/((l*l*l**(-2\/3)*l)**(-4)*(l**1\/l)**(6\/19)) assuming l is positive.\nAnswer: l**(1198\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -27 - -27.3. Which is the nearest to p?  (a) -2\/9  (b) -4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 31139\/15 + -6229\/3. Which is the second biggest value?  (a) -45  (b) -15  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-5)*i**(1\/2))\/((i**(-3\/5)\/i)\/i*i\/i**6) assuming i is positive.\nAnswer: i**(31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 * 4.4.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*y - 354 = -378. Is y greater than or equal to -15\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y - 1. Let w be s(1). Suppose -3*i + i + 164 = w. Suppose v = -16 + i. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 15 = 4*p - 3*u, 5*p + 2*u + 22 = 0. Let r be ((-2)\/(-1))\/(6\/(-33)). Let s = p - r. Calculate the remainder when 20 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 38140707?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 31.75 - 31.55. Sort 5, -17, -0.5, a in descending order.\nAnswer: 5, a, -0.5, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.485 + 34.485. Which is smaller: 4 or b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 18a5 - a?\nAnswer: 1898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -805*u - 792*u + 43798 = -387*u - 34852 for u.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4.62 + 0.38. Let m = -7.5 - -8. Let g = 0.8 - 0.6. What is the second biggest value in k, m, g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -28*r + 4. Let g be -5*((-42)\/5 - -5 - -3). Let q(h) = -18*h**g - 13*h**2 + 48*h**2 - 16*h**2. Determine q(a(i)).\nAnswer: 784*i**2 - 224*i + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = 2*n + 46, -3*f = -0*f - 2*n - 118. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 152 a factor of 130245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 + 5 + 6 + (0 - 1 + 2)*(-2 + 3 - 2) + 0 + 3 - 1)*(-6*c + 3*c + 4*c).\nAnswer: 19*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*i - 3374 = 29*i. Let r = i - -954. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10133 + 10623. Solve -7*d + b = 448 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -30*h + 14. Let f(w) = -6*w + 3. What is -11*f(o) + 2*y(o)?\nAnswer: 6*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 4*j + 104. Let l be n(-25). Solve 5*a + 19 = -2*p, -4*a = -5*p - l + 39 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (-2 + (-12 + 5 - -10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.02?  (a) -8\/29  (b) 3  (c) 1\/4  (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 72764 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/((-9)\/(-2)) - (-5 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3901259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 2\/27 of a week?\nAnswer: 44800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -112 - 4?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-34)\/(((-2)\/(-5))\/(-1)). Suppose 0 = -4*a - 4, -k + 5*a = -6*k + f. 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 greatest common divisor of 351 and 156?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -11, 0, -1.\nAnswer: -11, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58 = 2*t - 3*n + 7, -3*n = 3*t - 54. Calculate the greatest common divisor of t and 301.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*j + 2*s - s + 13285, 13255 = -5*j + 5*s. Let q = -1143 - j. What is the highest common factor of 17 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2\/3, -1, -8, 0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 341224331 + -3?\nAnswer: 341224323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-three quarters of a litre in millilitres?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1107603114?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -14921301 to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -2*5*(-5 + sqrt(76) + 0))**2.\nAnswer: -2160*sqrt(19) + 10516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hqhqqh. What is prob of sequence qq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/4 + 1 + 34 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the second derivative of -1\/18*t**4 - 48*t - 5\/9*t**3 + 0 - 4\/3*t**2. Factor b(q).\nAnswer: -2*(q + 1)*(q + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is (-5)\/(1\/1) - (-2 + -73) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 246 + -245.87. Which is the closest to 1?  (a) -8  (b) -2  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -1\/4479?\nAnswer: -1\/4479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 a when two letters picked without replacement from {r: 3, a: 4}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -90 + 92. Let j be (o - (-1)\/(-5))\/(33\/110). What is the highest common factor of j and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -230 - -14?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 39 - 12. Let z be -5*(-3 - a\/(-15)). Solve 0 = z*q - q - 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -246 or -1272?\nAnswer: -246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20269.\nAnswer: 20269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 2 = -1. Let h be 3\/5 - 52\/(-5). Let g = f + h. What is the remainder when g is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 881563505 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16*u**2 - 16*u**2 + 234*u**3)*(-18*u**2 + 6*u**2 + 17*u**2) - 2*u**5 + 0 + 0.\nAnswer: 1168*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -60*n**4 - 49*n**4 - 166*n**4 - 3*n**4 + 0*n**4 - 3*n**4 + (0 + 0 - 2*n**3)*(2*n - n + n) to the form a*n**2 + p + k*n**4 + h*n + s*n**3 and give k.\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 2*a = -0*r + 2314, 12 = 3*a. Suppose 2*u - 22306 = -r. What is u rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 403 + -450 - (-94 + -10)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the second derivative of -p**5\/20 - 4*p**4\/3 + p**3\/6 + 15*p**2\/2 - 19*p. Let s be y(-16). Is -1\/140 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = -2*l + 264. Let o = 39 - l. Let u = o - -42. What is the remainder when u is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 299*w - 185*w - 114*w + 7*w**2.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47 = 6*j + 29. Calculate the greatest common divisor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10601 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -58 - -87. Calculate the remainder when w is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/d**6*d)\/d**(2\/3)*d**(-2\/7)*d*d**(-3\/10)\/d*d*(d**(-4)*(d\/((((d*d**(2\/27))\/d*d)\/d)\/d)*d*d)\/d)**(-44) assuming d is positive.\nAnswer: d**(81283\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -2\/107, -585, -0.3?\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 14*j**2 - 4*j + 3. Let v be o(4). Suppose -5*g + v + 224 = 0. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -11 >= -7.3356?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 21\/8 of a week?\nAnswer: 441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 345*s**2 - 3 + 2.\nAnswer: 345*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 56*o + 1. Let m be 2 - 0*1\/3. Is k(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 571 = 5*d + 4*f, 14 = 2*d + 4*f - 224. List the prime factors of d.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -10*a - 2 + 30*a + 5 + 12. Calculate the remainder when x(9) is divided by 52.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gh when two letters picked without replacement from {g: 7, h: 9}.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 2)*(0*a - 3*a + a) - 1 + 1 - a + a + 6*a + 3*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -4  (b) 3  (c) -1\/15  (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 55538, 2, 14 in decreasing order.\nAnswer: 55538, 14, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0\/(-2) + (0 + 0)\/(-4). Let n(r) be the first derivative of -1\/6*r**3 - 1\/12*r**6 + 2 + 0*r + o*r**2 - 3\/8*r**4 - 3\/10*r**5. Factor n(b).\nAnswer: -b**2*(b + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -25 + 28 + -1 + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 54\/5 of a kilometer?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(30)\/sqrt(6) + 2)*-2 + 5.\nAnswer: -8*sqrt(5) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -5*l - 54 - 5, -5*l + 97 = 3*o. What is the remainder when o is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-6)\/d**(-2\/11)*d\/(d\/((d**(1\/8)\/d*d)\/d)*d)*d**(-4) assuming d is positive.\nAnswer: d**(-1029\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 14032363727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (-606)\/30 - 216\/180?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -64.699 + 15.699. Which is the third biggest value?  (a) -0.36  (b) 2  (c) 0  (d) n  (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -634*k - 160 = -636*k. Suppose 43*t = 39*t + k. What is the lowest common multiple of t and 90?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes after 12:52 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - (2 - 1 - 18)) + (-109 - (-188 - -74)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -37.706 * 4555.\nAnswer: -171750.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 33\/77 - (-73503)\/(-7). What is i rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 - 1 - 1)*(1 + 2*g - 1) - 4*g + 13*g - 10*g)*(-4*g**4 + 4*g**4 + 2*g**4).\nAnswer: 2*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1318503044.17 - -0.5.\nAnswer: -1318503043.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1666 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (((-510)\/(-9))\/(-5))\/((-100)\/(-750)). Put l, 5, 2 in decreasing order.\nAnswer: 5, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**2. Let o(j) = j + 4. Let x(m) = -2*m**2. Let p be x(-1). Let i be o(p). Let y(q) = -2*q + 2*q + i*q. Determine d(y(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h = 0, 441*h - 20 = 5*g + 445*h for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -2355261\/736 less than -3199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -4*z + 30. Let x be i(7). Suppose 5727 = 3*n + 2*c + c, -3824 = -x*n + c. Let m(b) = 2*b**2 - n + 0*b**2 + 1915 - 5*b. What is m(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 3*v + 36 = 3*z, -5 = z - 5*v. Let y be ((-12)\/15)\/((-4)\/z). List the prime factors of 164\/y + -1 + -1.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.3 + -0.9. Let v = 1.9 - k. Let p = v - 2. Which is the second biggest value?  (a) 0  (b) p  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-1 + sqrt(325) + sqrt(325) + -2 + (sqrt(325) - (sqrt(325) - (0 + sqrt(325))*2)) + sqrt(325))**2.\nAnswer: -8134 + 150*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 8 + (-12)\/(-1) + 30\/70*21\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 8472767407?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 4987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 2*d**2. Let x = -108 + 105. Give o(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the third derivative of 3*u**8\/392 + 2*u**7\/245 - 23*u**6\/420 - 4*u**5\/105 + 4*u**4\/21 + 304*u**2. Factor m(j).\nAnswer: 2*j*(j - 1)**2*(3*j + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -5  (b) -7  (c) -3\/2  (d) -2\/97\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -4907*f + 19657. Give g(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - (2 + -1) - (95 + -101)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 3*w - 8, 3*w - 10 = -2*n. Suppose -113 = -p + 3*k, 11*p - 8*p = -n*k + 284. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 4*f. Let k = -564 - -566. Let s(a) = 14*a - 25*a + 2 - k. Give l(s(u)).\nAnswer: -44*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the third derivative of h**5\/60 - 5*h**4\/24 - h**3\/3 - 43*h**2. Let r be (-1)\/((-1 - -2)\/(-6)). Give i(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 388271621.\nAnswer: 31, 12524891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 765593762 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -47 + 68 + 26*b**4 + 27*b**4 wrt b?\nAnswer: 212*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the second derivative of -t**3\/6 - t**2 - 7*t. Determine d(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 344279 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by 2181.\nAnswer: -5\/2181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -25*a**3 + 18*a**3 + 4 + a**4 - 109616*a - a**2 + 109617*a in the form x*a + j*a**4 + c*a**2 + y + r*a**3 and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -658992 by 61.\nAnswer: -658992\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:33 AM and 4:03 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 20*d - 6. Give r(-3).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000105246094 to 7 decimal places.\nAnswer: 0.0001052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the second derivative of t**4\/6 - 25*t**3\/6 + 9*t**2\/2 + 10*t - 2. Determine r(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 351*m + 705. What is l(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6143 - -35898. Suppose 0*j + h = 5*g + 3*j, -4*j = 2*g - 11902. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 77907.52mm?\nAnswer: 0.07790752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = 2, i - 3*v + 4*v = 7. Let t = 4 - i. Let g be -7 + (1 + -3)*-1. Put g, t, 2 in increasing order.\nAnswer: g, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(4 + 1*sqrt(192) + -1)**2*4.\nAnswer: -1608 - 384*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 58076131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 89223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2536?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:25 PM and 2:31 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 186302?\nAnswer: 2, 93151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1183 - 1183 + b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(875) - 1*sqrt(875))\/(-1*sqrt(112)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 - -186?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1975 + 1980. Solve -k = -b, o*b + 7*k = 2*k + 30 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 896 and 252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 21*n**2 - n*s - 17*s + 1 wrt n.\nAnswer: 42*n - s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**3*m\/(m*m\/m**(1\/8)*m*m) assuming m is positive.\nAnswer: m**(1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f - 4. Let o be m(-7). Suppose -4*b - b - o*j + 12 = 0, -4*j = -16. Suppose b = 6*d - 30 - 6. Solve 1 + 1 = 2*q - a, q - 4*a = -d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -403 + 373.2. Let l = o + 9.8. Let f = 0.2 - -0.8. What is the closest to 0 in -1\/2, l, f?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3\/6)\/((-2)\/(-8)). Let n = -16 + 15. What is the third biggest value in -4, n, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1001*j - 504*j + 5 + 9*j**2 + 1 - 501*j to n + m*j**2 + u*j and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (1 + -3 - (-4 - -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 - 16 = -3*v. Let k = v - 9. List the prime factors of (0 - -1)*(13 + k).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k + 68. Let f be b(24). Suppose f = z - 3*j, 52 = 2*z + 20*j - 17*j. What is the remainder when 82 is divided by z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*u + 90 = -80*u + 2601 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 166 divided by 83\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (47\/(-5))\/((-5)\/25) + (-20)\/4. Calculate the highest common divisor of j and 90.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11109 + -33329\/3. Which is the nearest to -7?  (a) -3\/7  (b) 0  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 68752 + 206215. Let r be 1 + ((-15)\/(-9) - 6\/9). Suppose h = r*c - 665033. Round c to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -5*n - 10. Let l be o(-6). Solve 25 = -2*z + v - 6*v, -l = z + 5*v for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 9*a - 9. Let n = 497 + -492. Let o(h) = 2*h - 2. Give n*s(d) - 21*o(d).\nAnswer: 3*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 26 + -21. Suppose z*r - 5*p = -45, -2*p - 2*p = 3*r + 20. Let l = r + 8. Solve -2*t - 2*o = l, -2*o - 3*o + 28 = -2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -2, -14 in decreasing order.\nAnswer: -2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 (base 6) in base 15?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-37)\/555)\/((-1)\/3)*15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 1419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 2*m**2 - 29*m + 18. Let l be d(14). Which is the nearest to -0.1?  (a) -5  (b) 14  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s**2 + 8*s - 10. Let f be j(3). Let a be 2\/4 + ((-75)\/(-6))\/f. Let d be (-1)\/4 + 58\/8. Solve a*w - d*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is m in -m**3\/3 - 14792*m**2 - 159974364*m + 276488711312\/3 = 0?\nAnswer: -22462, 548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 56*(-12)\/(-192)*(3 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 32*t**2 + 3*t + 1. Let y be z(-1). What is the highest common divisor of 15 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 50895*q**3 - 1167*q - 969070154 with respect to q.\nAnswer: 152685*q**2 - 1167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.02487 - -0.02487. What is the nearest to 0 in 2.5, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.8 - -10.2. Suppose 2*g - 4*q - 7 - 1 = 0, 0 = 5*g - q + 16. Let o be (g + 2)*((-56)\/(-12) - 5). Is n at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4843278 divided by -6?\nAnswer: 807213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/3, 0.5, 12, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -247 not equal to -247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -664*c + 2. Let h(t) = 4*t**2. What is k(h(f))?\nAnswer: -2656*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -4486 to the nearest 100.\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the third derivative of -b**5\/60 - b**4\/12 - 2*b**3\/3 - 3*b**2. Let y(f) be the first derivative of l(f). Is 9 a factor of y(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5\/4658 or -1?\nAnswer: 5\/4658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 2*c + 15 = 0. Suppose -x - 4*k = -23, -c*x + 45 = -2*x + 4*k. Calculate the remainder when 20 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiooaiaoioooiiooii. Give prob of picking 3 i.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 151945 is divided by 3533.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -2*j**3 - 66*j**2 - 28*j - 918. Calculate k(-33).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-181 - -99) + 46 - 32?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1008*g**3 - 33975*g**2 - 86501302*g wrt g.\nAnswer: -6048*g - 67950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*t + 96*t - 1975 = 0. Is t smaller than 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -139\/39020 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 20634 and 5320.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 l when two letters picked without replacement from ononnnnnnloononononn.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 43 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.082, -59, -0.0439, 0.2, -2\/5 in descending order.\nAnswer: 0.2, 0.082, -0.0439, -2\/5, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-4\/3)\/u**(-6))\/(u**3)**(1\/8) assuming u is positive.\nAnswer: u**(103\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(76)*-1*-4 - sqrt(76)) + 1*(3*-4*sqrt(76) + sqrt(76)) + -5.\nAnswer: -52*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11 + -56\/5. Let t = 60 - 62.92. Let n = t - 0.08. What is the third smallest value in -1\/4, i, n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -240*z + 73*z + 167*z - z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 0*m + 5 + m**2 - 5*m + 2*m + 7*m. Let i(a) = -5*a. What is the lowest common multiple of n(-4) and i(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.3439899 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 95256635 to the nearest integer?\nAnswer: 9760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**(-2\/5))**(8\/5)\/(((m**(-5)\/m)\/m)\/(m\/(m*m\/(m*((m\/m**(-1\/3))\/m)\/m)))))**(14\/5))**(-28) assuming m is positive.\nAnswer: m**(-167384\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -2334, -2373, -2412, -2451, -2490?\n\"Answer: -39*s - 2295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 3*o + 31, z + 0 = -3*o - 1. Solve 2*t - m = z, m - 5 = 5*t + 2*m for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*j**2 - 96333*j - 82008036 = 0.\nAnswer: -5412, -5051\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 203\/8 less than 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -191*g**3 - 2*g + 98 + 187*g**3 - 589*g**2 + 854*g**2 wrt g.\nAnswer: -12*g**2 + 530*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 2\/885 and 107\/912730.\nAnswer: 2738190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0\/(-2) + -2 - -26. Is 2 a factor of (s\/(-16))\/((-2)\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 150 and 13350.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -403, 1, 7 in ascending order.\nAnswer: -403, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes before 6:58 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 4) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*s - 3*s + 3*s)*((0 - 2 + 1)*(0*s + 1 - 3 + s) - 83*s + 76*s - 134*s) in the form n + a*s**2 + z*s and give a.\nAnswer: -568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**8\/h)**(-2))**48 assuming h is positive.\nAnswer: h**(-672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 3, x: 2}. Give prob of picking 1 x and 2 t.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2.2 or 4218?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 950*u**3*x**3 - 2823*u**3*x - 2431*u**3 - 2*u**2*x**3 - 3*u*x**2 - 44696*x**3 wrt x?\nAnswer: 5700*u**3 - 12*u**2 - 268176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 177850327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 111*k + 17774 = 24878. Calculate the greatest common factor of k and 3776.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 23*u - 2498 - 745. Suppose -u*d + 140*d + 4 = 0. What is the highest common divisor of 76 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2412182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15620?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 11  (b) 0.5  (c) -3\/11  (d) -2  (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -103637 + 13?\nAnswer: -103624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2507.04 + 2533. What is v rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -7, -24, -45, -70, -99?\n\"Answer: -2*a**2 - 11*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 323870563 + 986949691 = -31*u - 419351746. What is u rounded to the nearest one hundred thousand?\nAnswer: -55800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 26*j**3 - 1. Let q be y(1). Let w(g) = g + 13. Let c be w(-9). Solve b = -c*b - q for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 33\/16979669 and 77\/177.\nAnswer: 50939007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5 and 2813182.\nAnswer: -14065910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 2*y**3 - 5*y**2 + 8*y + 3. Let o be d(6). Let l = -178 + o. Calculate the remainder when l is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -115042122 + -3?\nAnswer: -115042125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 136560 and 80?\nAnswer: 136560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 248316?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 36*u**2 + 72*u + 3. Calculate v(-6).\nAnswer: 867","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1100 (base 2) to base 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 115 + -115.05. Put 0.09, y, -2, 2\/7 in ascending order.\nAnswer: -2, y, 0.09, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 3*a**2 - 2*a - 4*a**2 - 2*a. Let z be o(-5). Let q = z - -8. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4*(0 - 0 - 4). Let y = m + 22. Let i be (-6)\/(-1) + -2 + 0. Solve -2*g - y = -4*d + 4, -4*g + 4*d - i = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 6 = -m. Suppose -2 - 13 = m*l. Let o(r) = -r - 1. Determine o(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*i**2*w**3 - 36*i**2*w**2 - 13*i + w**3 + 7*w wrt i?\nAnswer: 10*w**3 - 72*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 16734947 divided by 2\nAnswer: 16734947\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.5705 rounded to 2 decimal places?\nAnswer: 4.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/5, -0.12, -15387.\nAnswer: -15387, -3\/5, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-2\/5)\/(t\/(t*t**(1\/12))))\/(t*t*(t*t\/(t\/(t*t\/(t\/((t**(2\/27)*t)\/t*t*t))))*t)\/t*t**(-1\/2)\/t) assuming t is positive.\nAnswer: t**(-2641\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 590920 and 88.\nAnswer: 590920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 5*p**3 + p**2 + 4*p - 44. Let n(d) = 9*d - 93. Let j be n(11). List the prime factors of z(j).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the third derivative of 1\/3*c**3 + 0*c + 0 - 1649\/24*c**4 + c**2. Let a be f(-2). Round a to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 38\/7 of a week?\nAnswer: 54720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from coocjoooojjcjozooj. What is prob of sequence jcj?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1390)\/(-50) + 102\/85. Calculate the highest common divisor of 5 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-123)\/(-9) - (-8)\/6. Let t be (-6)\/z - 4\/15. Let k = 24 - 29. Which is the nearest to t?  (a) k  (b) 0.1  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7 - -9. Let h be (0 + 10\/9)*7\/35. Factor -2\/9*o**4 + 2\/9*o**z + 0 - 2\/9*o**3 + h*o.\nAnswer: -2*o*(o - 1)*(o + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1, 58, 151, 280, 445, 646, 883?\n\"Answer: 18*u**2 + 3*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2123 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.09 in -2, -13\/10, 11, 1.9?\nAnswer: -13\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 284\/(-213)*(-99)\/(-88)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 2*j + 42 = 0. Let w = 70 - j. Suppose -4*k - k = -l + w, -3*l - 5*k = -24. Solve 3*q - 2*g = -2*q - l, q = -g - 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-80)\/(-320)*(-945)\/(-126)?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbbububu. Give prob of picking 2 b.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = -2*i + 107, -28*b + 27*b + i + 39 = 0. Is b a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 3140 = 11893. Let z = 1618 + s. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -74*u**2 - 1 + 136*u + 2 - 143*u.\nAnswer: -74*u**2 - 7*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c = q - 3*c - 210, 3*c - 795 = -4*q. Suppose q = 3*j - 231. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s, 5*w - 3*w = 4*s - 4. Put w, 8, 2 in ascending order.\nAnswer: w, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.222281118 to four dps.\nAnswer: -0.2223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**2 + 4. Let b be v(0). What is the third derivative of 3*i**2 + 2*i**4 - 3*i**4 - i**4 - i**b wrt i?\nAnswer: -72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the first derivative of -t**7\/420 + t**6\/72 - t**5\/15 - 29*t**4\/24 + 8*t**3\/3 + 20. Let z(f) be the third derivative of o(f). Is z(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 167 - 67?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-18)\/(-14)*13*9\/(-117).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -404333 + 10110?\nAnswer: -344223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*p**4 + 24*p**3 + 16*p**2 - 96*p.\nAnswer: -4*p*(p - 6)*(p - 2)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 + (-2 - -12) + 0 + -3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*r + r - 2*r)*(-5 + 2 + 1) - 3*r + 2*r - 4*r - r + 2*r - 4*r - 13*r - 8*r - 19*r to j*r + o and give j.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -2\/15, -4, 1\/24, -5?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) -118  (b) 1\/4  (c) 345\/14  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l + 3*q + 16, -4 = l + 3*q - 8. Solve -5 + 2*t - 4*t + 5 - 2*t**l - 6*t**2 - 6*t**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 53 divided by 484803\nAnswer: 53\/484803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -46d - 8e?\nAnswer: -50c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 962135 is divided by 4077?\nAnswer: 4040","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(-100*24\/(-120)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 4}. Give prob of picking 2 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 - 1891c4?\nAnswer: -1891c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9 + -2 + -1 + 2 and (-2)\/3*57\/95 + (-17)\/(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-231)\/(-30) + 27\/90 + -4. Solve a*p + 141 = 165 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 14 - 6. Suppose 0 = a*k - 2*k - 18. Let h(v) = v + 9. What is the lowest common multiple of k and h(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2107?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*n = 47*n - 420. Solve 13*l - n*l - 85 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(2\/13)\/k)**(-40)*k**(-12)*k**(3\/14)*k assuming k is positive.\nAnswer: k**(4197\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 - 61\/(6771\/74)*1662\/100.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -133091 (base 12) in base 7?\nAnswer: -2455153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -13*k**2. Let v(j) = 15*j**2 + 12*j - 36. Let f(l) = l**2 + l - 3. Let s(i) = -12*f(i) + v(i). What is h(s(x))?\nAnswer: -117*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.3 + -0.2. Let s = y - -1.9. Let r = -144251\/7 - -20607. What is the third smallest value in s, -0.5, r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - 4 - (-2 - -1) - (549 + -557).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*b + 14 = -0*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 - 1b8?\nAnswer: -1bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z + 7. Suppose -8 = -2*q + 3*q. Let k be o(q). Let t(l) = -l**3 + 5*l**2 - l - 6. Let j be t(4). Calculate the greatest common divisor of k and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 3)*(c - 2*c**2 - c) + 11*c**2 + 10*c**2 + c**2 + (-7*c - 6*c + 26 - 25)*(2*c + 0*c + 0*c).\nAnswer: -8*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -11\/3*a**2 - 7 + 1\/3*a**3 + 31\/3*a.\nAnswer: (a - 7)*(a - 3)*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) 3  (b) 0  (c) 7  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -67*x**3*z**2 - 4*x**2*z**2 + 2*x*z**2 - x*z - 30*x wrt x.\nAnswer: -402*x*z**2 - 8*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 236 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * -2803.\nAnswer: 14015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -45*r**3 + 5*r**2 - r + 577 wrt r?\nAnswer: -270*r + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jq when two letters picked without replacement from {v: 2, o: 2, j: 2, x: 5, q: 1, n: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 12*q**2 - 9*q - 7. Let w be p(-1). Suppose 4*h - 6*h = -s + w, -4*s - 3*h + 45 = 0. Solve 0 = -4*m + m + s for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26126363.\nAnswer: 257, 277, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-1536)\/(-14) - -5*(-4)\/(-70) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the first derivative of 9*w**4 + 3280*w**3 + 6536*w**2 + 4352*w + 3012. Factor i(y).\nAnswer: 4*(y + 272)*(3*y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n**4\/n)\/(((n\/(n\/((n*n**(2\/11)*n*n)\/n))*n*n)\/n)\/n))\/(n*n\/n**(-2\/5)*n**(-2\/3)))\/(n**(2\/65))**37 assuming n is positive.\nAnswer: n**(-881\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 11256180 or 11256178?\nAnswer: 11256180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-546)\/(-7))\/(-6))\/(189\/(-567))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 33643412 to the power of 1\/4, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 - 3. Let i = -1963 + 1963. What is the nearest to m in -0.2, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x - 5*x = -y + 8, 5*x - 3*y - 16 = 0. Suppose -5*b = s - 200, -3*s - 65 = -b - 9. Suppose -4*p - b = -x*p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n. Suppose 2*a = v - 2, 4*v - 2 + 6 = 4*a. Let p be h(a). Find the third derivative of 0*d + d**p + d**2 + 0*d wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d + 63 = -18*x, -37678*d = -37676*d - 2*x - 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -22 - -18. Let o(t) = -1 - 4*t - 1 + t. Is o(a) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 92 divide 319192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**3 - 4*q**2 - 3*q + 1. Let n(f) = 2*f**2 - 7*f. Let c be n(4). What is x(c)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -2*r + 8. Suppose 4*l + 11*l - 120 = 0. Determine m(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 28 - 26. Let t(b) be the first derivative of 0 - 2*b**2 - 2 + n + b**4 + 9. Solve t(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -2 - 10. Let l be -2 - (-2 + c)*-2. Suppose 10 = t - 3*p, 2*t + 0*p - 8 = 2*p. Solve -l*s + s = t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/3 - (-47)\/3. Let n(h) = -7*h - 4388 + 3*h - 4396 + 8788 - 2*h. Let i(q) = -q + 1. What is m*i(j) - 3*n(j)?\nAnswer: 3*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 3*t**2. Let d(z) = -34*z - 1. Determine b(d(o)).\nAnswer: 3468*o**2 + 204*o + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(-10) + 28\/45. Let d = 29.7 - 31. Let s = d - -1. Which is the closest to 1?  (a) -0.1  (b) j  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 557 minutes before 12:34 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 5*h + 10. Suppose 0 = 4*s + w - 48, 0*s + 34 = h*s + 3*w. Let v = 17 - s. Solve -l - l + v = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*n**3 + 648*n + 662*n - 1987*n - 2 + 677*n - 63*n**3.\nAnswer: -59*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 338242a (base 11) in base 9?\nAnswer: 12120143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -107 - -102. Let t = -2 - -5. Let y = -3.89 + -0.11. Which is the second biggest value?  (a) t  (b) y  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15681\/668 - 46\/167. Let p = -4059477 - -56760185\/14. Let w = p - -5182. Calculate the common denominator of w and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 581769.\nAnswer: 3, 29, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -20, -22, -26, -38, -64?\n\"Answer: -w**3 + 5*w**2 - 10*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -545, -547, -549?\n\"Answer: -2*b - 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -2*k. Let y(j) = -j. Let l(c) = -c. Let p(i) = -2*l(i) + y(i). What is -3*p(d) - s(d)?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 0*k - 2*k + 16 = 0, -21 = 3*f - 2*k. Let r be -2 + (f + -1)*-1. Suppose -5*g + 20 + 5 = 0. Solve -2*m - r*z + 6 = 0, -3*m - z - 11 = -g*z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 + -1 - (-18 - -21)) + 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 334*u**2 - 1795680*u + 1795680*u + 2*u**2.\nAnswer: 336*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/8 - 0)\/((-39)\/(-6))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**2 - f - 8. Suppose -13 = -3*k + 2. Suppose 0 = -4*n + k*j + 15, -3*j - j = n - 9. Suppose 5*c - n*d = 0, -5*c - 3*d = -d. Determine p(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the third derivative of -1\/30*p**5 + 2*p**2 - 1\/120*p**6 + 0 + 0*p + 0*p**3 + 1\/6*p**4. Is 8 a factor of a(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 58 + -73 - (-7 - 9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 565886734 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 246286*x**3*y + 1459*x**2 - 5*x*y + 2*y wrt x.\nAnswer: 1477716*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-27)\/7 + (-1)\/7. Is (-762)\/p*2\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1384 - -2053. Suppose 34*y - 249 - u = 0. Does y = 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**3 + 12*w**2 - 2*w - 17. Suppose 5*g + 5 = -b - 22, 5*b - 5*g + 45 = 0. Let h be x(b). What is the highest common factor of h and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(26)\/(sqrt(360)\/sqrt(5)) - (sqrt(13) + (sqrt(26)*1)\/sqrt(2) - ((-2*sqrt(468) - sqrt(468)) + sqrt(468)))**2).\nAnswer: -7644 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13ab502 (base 13) to base 8.\nAnswer: -27661460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.275 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -2, 72289, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.5, 1, 5, 4, -6, 3\/16?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (49\/63 - 20\/45)\/(1\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 19 - 10. Suppose -13*y + 9*y + 1008 = 0. Let f = -249 + y. Solve f = 3*c - n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(3\/8)\/(m**3\/m))\/(m**1)**(-1\/25) assuming m is positive.\nAnswer: m**(-317\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**3 + f. Let n be x(1). Suppose n = 3*y + 4*y. Suppose y = -6*l + 32 - 2. Solve -2*p = -l*p + w + 2, -12 = 2*p + 2*w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 309 - 308. Find the third derivative of -251*m**2 + 264*m**2 - 1 + f + 62*m**3 wrt m.\nAnswer: 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 14459984 by 88.\nAnswer: 164318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -129, 105, -3.\nAnswer: -129, -3, 5, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*g - 450 = -21*g. Differentiate 6 + z + 5*z + 73*z**2 + 3*z - g*z**2 wrt z.\nAnswer: -4*z + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 18644653?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 2*h**2 - 2*h - 1. Let i be n(2). Let o be 0*(0 - (-3)\/i). Suppose 3*v + 3*c - 9 = -o*v, 0 = -5*c + 5. What is the lowest common multiple of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 97 + 191. Calculate the greatest common divisor of j and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -38 + 69. Let o be (-28)\/56*(-2 - (-3 - -1)). Calculate the remainder when y is divided by (o - -9)*((-2 - -8) + -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.02 and 290.7.\nAnswer: 290.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 32 + -21. Let n = q - 14.4. Let t = n - -1.2. What is t rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 346633 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 17*j**5 - 2*j**4 - 185720*j**3 - 8795395*j**2 wrt j?\nAnswer: 1020*j**2 - 48*j - 1114320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45*-36.3.\nAnswer: -1633.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = -d - 4. Let r be d\/(-10) + 8\/(-20). Solve -t + 6 = -0*t + g, -20 = -r*t - 5*g for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -95 - -94.794. Let z = -0.094 + t. Which is the second smallest value?  (a) z  (b) 1\/2  (c) -7\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*n + 1379 - 5769. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 317734 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c*c*(c**(1\/13)\/c)\/c)\/c)\/c)\/c**30*(c\/(c*c**3*c*c*c))**(-11) assuming c is positive.\nAnswer: c**(443\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -9588, -377, -8 in decreasing order.\nAnswer: -8, -377, -9588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 16 - (-1 - -1 - (2 - -1)). Let l = 75 + y. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1327 is divided by 1317.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4395278200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**2. Let t(o) = 2*o - 2*o + 525584*o**2 - 525374*o**2. Give n(t(i)).\nAnswer: -44100*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -104 by 2.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 3 - (-2 - 3 - -5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 69571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3972014 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 73347 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 52425717 is divided by 107.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q**3 - q**3 + 0*q**3)*(32 + 0 - 65634*q + 65637*q).\nAnswer: -6*q**4 - 64*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 89769 and 2898?\nAnswer: 3770298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*d*j**2*o - 19*d*j**2 + d*j*o - d*o + 50*d - 2*j*o wrt j.\nAnswer: -14*d*o - 38*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -168*(-5)\/(-21)*930\/(-465)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = 2*y + y - 10, 26 = 5*y + d. Suppose y*m = m - 5*v + 67, 5*m + 3*v - 100 = 0. What is the highest common divisor of 23 and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3925 (base 10) in base 9?\nAnswer: -5341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 7, q: 1}. What is prob of picking 3 g?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*i**5 + 3*i**4 - 13*i**3*n - 2*i*n - i - n + 116 wrt i?\nAnswer: -80*i**3 + 36*i**2 - 78*i*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m - 6. Let g(x) = 2. Let s(y) = 12*g(y) + 4*q(y). Let d(f) = f + 1. Let w(c) = -c - 2. Let l(r) = 4*d(r) + 2*w(r). Determine l(s(v)).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -3\/31, 0.6, 35, -36, 2\/5, 3\/4?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 14829, 15181, 15531, 15879?\n\"Answer: -o**2 + 355*o + 14475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -46 + 46 - 9*w**5 + (-41 + 41 - 5*w)*(3*w**4 - 54*w**4 - 32*w**4).\nAnswer: 406*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 3\/10  (b) -0.4  (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**3 + 2*t. Let l(q) = q - 2. Let r be l(4). Determine j(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.071*0.3.\nAnswer: 0.0213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -539, -1196, -1853, -2510?\n\"Answer: -657*c + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -c + -45ee?\nAnswer: -460b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6842 and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*b = -6 - 29 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66*c + 24*c + 40*c + 11 = -3*y, 39*y + 2*c + 31 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.367936 - -0.3765. What is t rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c + m - 5, 2*m + 2*m - 20 = 0. Solve -3*o + 8*o - 10 = c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25368 is divided by 4226?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-2)*-8*(-2)\/16?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 68 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18253?\nAnswer: 18253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 6, -0.5, -2975, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes after 1:37 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = 4*d - 486, 0 = -3*d + d - 3*g + 231. Let y be (d\/45)\/(10\/6 - 1). Suppose -26 = y*h - 146. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4.9 + -0.9. Let a be (4\/(-3))\/(1\/(-3)). Suppose -i + a*b = 8*b + 2, 0 = -b. Put p, 5, i in descending order.\nAnswer: 5, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 110210202012011 (base 3) to base 7\nAnswer: 111562453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.5  (b) 157\/11  (c) 4  (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g**2 + 10*g - 9. Let b be x(9). List the prime factors of (-18 + b)*1*42\/(-9).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 2481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 19, -12, -103, -266, -513?\n\"Answer: -2*m**3 - 18*m**2 + 37*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 11\/(-20)*(-30)\/(-4). Let h = -610 + 656. Suppose -h = 22*x + 20. Which is bigger: i or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 301.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15979*p + 9*p**3 + 15979*p.\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 7056 = -f, 2*t = 8*f - 13*f + 14097. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 78 - 99. Let d = n - -13. Let q(t) = -t**3 - 7*t**2 + 8*t - 6. Determine q(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the first derivative of -5*w**8\/1344 - 3*w**7\/224 - w**6\/60 - w**5\/120 - 2*w**3\/3 + 3. Let h(o) be the third derivative of l(o). Factor h(t).\nAnswer: -t*(t + 1)*(5*t + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0105708869 to four decimal places.\nAnswer: 0.0106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -261 + 697. Suppose 0 = 3*y + 2*o - 188 - 139, 4*y - o = h. Calculate the remainder when y is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uumuuutgm. Give prob of picking 1 t and 2 u.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 5}. What is prob of sequence lll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.4, 1\/6, -1, -3 in descending order.\nAnswer: 1.4, 1\/6, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8854 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -124 or -0.3?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 102483?\nAnswer: 3, 59, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*s - 11*s. Suppose -a - 347 = -3*a - g, s = 3*a + 4*g - 533. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b + 1 + 2. Find the second derivative of 3*r**5 + 3*r**5 - b*r - 4*r**5 wrt r.\nAnswer: 40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 575492 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7 - 5. Suppose 0*g - 12 = -5*g + i, 0 = g + i. Factor g*j**4 - 4*j**2 - f*j**3 - 2*j**2 + 4*j**2 + 2*j.\nAnswer: 2*j*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 28.3578 - 28.2. What is n rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-3\/4)*n\/(n\/(n\/n**35))*n*(n*n**(2\/27)\/n)\/n*(n**(8\/5)\/n*n)\/n*n assuming n is positive.\nAnswer: n**(-17861\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3796 + 1546 + r**3 - 314*r**2 - 1044*r**2 + 207*r**2 - 133*r**2 wrt r.\nAnswer: 3*r**2 - 2568*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.427  (b) -34  (c) -4356\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1773215 a multiple of 1318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4682\/24801 + 2\/1181. Let r = w + 1\/7. Which is the third biggest value?  (a) -2\/3  (b) 2\/3  (c) -5  (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 92 = -5*c. Let j = c - -43. Suppose -2*v + 4*m = -60, 7*v - 4*v - 5*m = 93. Solve -5*o = -10*o + j, 0 = -4*l - 4*o + v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 55\/5772 and 8\/555?\nAnswer: 28860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 4*u + 8 = 0, 2*i - 18 = -3*i - 2*u. Suppose 3*f - 33 = -2*c, -f + 35 = i*c - 0*f. Calculate the remainder when 51 is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13535126 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-13)\/(-195))\/((-2)\/(100\/(-5))).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-21)\/216 - (-14)\/63. Sort -2, -0.2, x.\nAnswer: -2, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 252 = 11*r. Calculate the lowest common multiple of r and (19 + -20)\/(1\/(-4)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0  (b) 300  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 18 and 639.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**3 - l**2 - 2*l + 93. Let a = 23 + -20. Suppose 2*v + a*v = 6*v. What is the tens digit of q(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (14\/(-7))\/(15\/(60\/(-208)))\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -9688, 2\/5, 0.1, -4043?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s. Let d be v(-4). What is the smallest value in d, 5, 3\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u. Let z(f) = f**2 - 653856. Calculate z(x(c)).\nAnswer: c**2 - 653856","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**3 - c**2 - 2*c - 2. Let y(i) = i**2 + 8*i - 13. Let v be y(-9). Let n be ((-27)\/12)\/3*v. Is f(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-24)*-3)\/(22529\/(-6932))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1017300581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70 = -5*p - 675. Let a = 481\/4 + p. Let c = 321\/26 - 11\/13. Calculate the common denominator of c and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-229 + 128 - 270 - 22)*(2*f - 2 - 7*f + 4*f) to h + j*f and give j.\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -163 or -184\/7?\nAnswer: -184\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes before 4:31 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16156*v - 2*v**2 - 7357*v - 3 - 7825*v - 4.\nAnswer: -2*v**2 + 974*v - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 57 (base 12) to base 16\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 130 + 1232032144?\nAnswer: 1232032324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5240 and 1175332.\nAnswer: 11753320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 - -2)*(-3)\/(-30). What is the smallest value in 1, -2\/5, a?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -4*w**3 + 15*w**2 + 1943*w - 7818. Give m(4).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*v**4 - 60*v**3 + 244*v**2 - 84*v - 392.\nAnswer: 4*(v - 7)**2*(v - 2)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 15 = -v, 0 = 16*p - 11*p - 3*v + 40. What is the units digit of p*(5212\/(-120) + 1\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 7517154830?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -22 - (-478 + 494) - (-10 - 2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 93126568687*c + 7*c**2 - 3*c**2 - 93126568687*c.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3 + -1 - 2 - -3. Calculate the common denominator of -2 + (-74)\/20 + 1 and p\/(-12)*291\/6.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*j + 665 = 15*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v. Suppose -5*q - 3*s + 6 = 0, -9 = -2*q + 3*s + 6. Let y be 4 + (2 - (-2 - -4)). Let o(d) = -y*d - d + q*d + d. Calculate h(o(k)).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -36 - 48. Let h = i - 24. Factor -10 + 6*p + 1 - h + 4 - p**2.\nAnswer: -(p - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 598 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 124499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 - -1. Let w(a) = -6*a**3 + 593 + a + 2*a**3 + 6*a**3 - 601 - a**3. What is w(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -749*(4\/(-84))\/(115\/345).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14)\/2912*-2*-12?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 7 = 2*t - 51, -4*y + 2*t + 122 = 0. Suppose 3*n = -2*n - y. Sort 0.4, 0.3, n.\nAnswer: n, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 2*y**3 - 99*y**2 - 50*y - 7. What is i(50)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.0226 rounded to one dp?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the third derivative of -32*v**4 + 0 - 1\/480*v**6 + 2\/5*v**5 - 12*v + v**2 + 4096\/3*v**3. Factor d(c).\nAnswer: -(c - 32)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the third derivative of c**4\/3 - 3*c**3\/2 + 3*c**2. Let b be ((-16)\/(-10))\/((-1)\/(-5)). Is j(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1042696940 to the nearest integer?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 2*g + 8. Let o be q(-3). Solve 4 = -4*t, o*i + 11 = -i - 2*t for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 121 - 82. Let z be (-4)\/(-10) + n\/15. Is 2 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x + 621 + 632 = -p + 1245, -7*x = 8*p + 34 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n**4\/9 + 47390*n**3\/9 + 128095750*n**2\/3 + 1141001956250*n\/9 + 605814900312500\/9 = 0. Calculate n.\nAnswer: -7675, -670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -23537bb (base 12) in base 13?\nAnswer: -1551128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*g**2*x + 6*g**2 - g*x + 508747*x - 235286 wrt x?\nAnswer: 2*g**2 - g + 508747","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.3  (b) -9  (c) -27  (d) 0.0427  (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 4, -19, 12, 2.\nAnswer: -19, 2, 4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the third derivative of -k**5\/60 + k**4\/8 + k**3\/6 - 16*k**2. Let s be l(2). Suppose -3*d + 0 = -6, 28 = s*n - d. Solve n + 10 = -5*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*g**2 - 2*g**2 + 4*g**2 + (-3*g**2 + 0*g**2 + 4*g**2)*(2 - 5 + 2) + (4*g - 3*g + 0*g)*(-16*g + 33*g - 21*g) + g**2 + 3*g - 3*g.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - (4 + -1 + 54 + -60).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - 7)*(-2*a + 0*a - 2*a + 2*a + a - a - 3*a + 0*a + 5*a + (6 - 4 - 4)*(-5*a + 0*a + 3*a) + a - 2 + 2 - 5*a + 0*a + 3*a).\nAnswer: -21*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 403333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 57 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 61 + -89.2. Round s to 0 decimal places.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 66153, 132308, 198463, 264618, 330773, 396928?\nAnswer: 463083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that 6*c**3\/11 + 9018*c**2\/11 + 746040*c\/11 - 1528200\/11 = 0.\nAnswer: -1415, -90, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g - 6 = -4*a, -49*g + 2*a + 12 = -47*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -545 + 553. Solve p - 3 = -a for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 - o + 7 - o)*(-59*o**2 - 109*o**2 + 65*o**2).\nAnswer: 206*o**3 - 103*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the first derivative of 29*q**3 + 5*q**2\/2 + q + 140. List the prime factors of x(3).\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 37\/2 of a decade?\nAnswer: 2220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 15688 and 18839168.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1066.3427 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -113.14 - 3.2. Let d = 115 + p. Let q = d + 1.3400077. Round q to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.11 take away -3?\nAnswer: 0.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r**3\/3 - 157*r**2\/3 - 2759*r\/3 - 2603\/3 = 0.\nAnswer: -137, -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*((-3*sqrt(110)*-1)\/(sqrt(1440)*-2 + sqrt(1440)) - (2*sqrt(121)*-3 + sqrt(121))\/((sqrt(88)*1)\/sqrt(8))))**2.\nAnswer: 35739\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1 - -4) + -3)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -3*8\/6 - -8. Let h be 1\/t - 17\/4 - -3. Put h, -8, 6 in decreasing order.\nAnswer: 6, h, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 22 + 29 + -45 - (-5 - -12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 69 - 71.4. Let i = t - 1.91. What is i rounded to 1 dp?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/2*(-30)\/(-18). Let p be (-3)\/2 - ((-55)\/(-2))\/z. Suppose -n = -p*n + 213. What is the remainder when n is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**2 - 6*o - 1. Suppose 20*p = 133 + 27. Suppose -p*x = 3*x - 44. Let h(w) = w + 1. What is x*h(r) + b(r)?\nAnswer: -r**2 - 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(49)\/sqrt(7)*-6 + (-2*sqrt(112))**2.\nAnswer: -6*sqrt(7) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/4 and 101\/2106736?\nAnswer: 2106736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:20 PM and 1:54 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 634.8636kg to nanograms.\nAnswer: 634863600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 399 = 5*d + 3*q, 3*q + 152 = 3*d - 97. Let g = d - 41. Does 40 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*u**2 - 11810 + 11808 - 225*u + 199*u + 4*u**3 to y*u**2 + v*u**3 + p*u + j and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 109007502 a multiple of 2732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6*(-8)\/(-36)*6\/4. Let q(v) = 641*v - 7. Let x be q(i). Let u(a) = 4*a - x + 1272 + 0*a. Let o(f) = f. Give u(o(r)).\nAnswer: 4*r - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 431, -1, -15934 in decreasing order.\nAnswer: 431, 5, -1, -15934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 times -19580?\nAnswer: -2780360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.4 - 0.399. Let j = -13.0269969 + 13.026. Let g = j + i. What is g rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 2*o - 8. Let t be v(10). Let x be 2 - (-2 + 8\/t). Factor 5\/3*h**4 + 1\/3 + 10\/3*h**3 + x*h**2 + 1\/3*h**5 + 5\/3*h.\nAnswer: (h + 1)**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -2*x**2 - 299. Let l(i) = 4*i - 493. Calculate n(l(b)).\nAnswer: -32*b**2 + 7888*b - 486397","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 13490 and 520?\nAnswer: 701480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + sqrt(171) + -3 + 4 + -2 + 3)*3 + 1 + 3)**2.\nAnswer: 18*sqrt(19) + 1540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 4*r + 2. Calculate s(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 43026?\nAnswer: 2, 3, 71, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 13) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 1291 divide 101496313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*b**2 + 8*b**3 - 2*b**3 - 5*b**2 + 13*b**2.\nAnswer: 6*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s and 1 e when three letters picked without replacement from {s: 3, l: 2, h: 1, e: 4}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2239692 a multiple of 1092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 5676 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -95\/18 and -47\/1776?\nAnswer: 5328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -87813289.6 plus 137?\nAnswer: -87813152.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -32 divided by 3287681.\nAnswer: -32\/3287681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 661.7142 centuries in months?\nAnswer: 794057.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((54*2)\/4)\/(((-603)\/12)\/67).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**3 - 30*j**2 - 371*j - 9905. What is i(-29)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-110)\/20)\/((-6)\/(-4) + -2). Calculate the highest common divisor of 2002 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -912980 divided by -2390\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w + 0 + 0)*(2 + 2 - 5) + 2*w + 15*w - 3*w - w - w + w - 1.\nAnswer: 12*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2045480?\nAnswer: 2, 5, 51137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*z + c - 26, -6*z + 7*z = 2*c - 17 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 21574560 by 1680.\nAnswer: 12842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-6)\/3 - -2) + 0. Let k = 2 - u. Let f be -580001 - (-1 - (k - 2)). Round f to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11288638, 1\/2, 4.\nAnswer: -11288638, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -142 - -124 - (4 + -127)\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10282639 to the nearest integer?\nAnswer: 3207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*l + 9 = 2*v - 11*l, 4*v - 33 = -5*l. Let k = 5 + -4.7. Which is the closest to v?  (a) k  (b) -5  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 891 and 15336.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-46)\/(-8)*-13 + 3\/4. Let b = g + 74. Suppose -2*i + 4*h + 10 = 6*h, 4*i + h - 17 = b. Solve x + i*f - 13 = 0, 3*f - 1 = 5*x + f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -3*c**2. Let y(t) = 4*t - 4. What is u(y(k))?\nAnswer: -48*k**2 + 96*k - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the second derivative of -g**4\/6 + 103*g**3\/6 - 511*g**2\/2 + 7859*g. What is the derivative of q(k) wrt k?\nAnswer: -4*k + 103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 3*u**2 - 8*u + 4. Let x = -26 - -29. Suppose 3*t - 21 = d, -4*t - x*d = -3*t - 7. Calculate the remainder when b(t) is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -212*d + 4033. What is g(20)?\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(612) + 1)*2 + -1 + (-1 + sqrt(612) - sqrt(612)) + -3)**2.\nAnswer: 1800*sqrt(17) + 61425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9657 + 9690. Calculate the highest common factor of 12925 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10361, -20369, -30379, -40391, -50405, -60421, -70439?\nAnswer: -80459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1343*g + 4656*g + 1093*g + 338*g + 877*g.\nAnswer: 8307*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -580495.2450023 and -0.4?\nAnswer: 580494.8450023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -946399 - 9*z**2 + 946399 + 3*z**2.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -239 - -257. What is the smallest common multiple of a and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 + -5. Let p be (2\/(-1)*k)\/2. Suppose -x - 3*m = -8*m - 30, 0 = -p*x - 2*m. Solve -3*q + x*q - 10 = -3*i, 0 = -q + i for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1475 and 250.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k + 3. Let b(i) = i**2 - 1. Let m be b(1). Let v be z(m). Let p = 22 + v. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13)*-2 + 0)**2 + 2 + sqrt(156)\/(sqrt(12) + (((sqrt(72) - sqrt(72)*1) + sqrt(72) - sqrt(72)) + sqrt(72))\/sqrt(6) + sqrt(12)).\nAnswer: sqrt(13)\/3 + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2652.184 nanograms in tonnes?\nAnswer: 0.000000000002652184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 + j + 3*j**4 - 2 - 2 + 19 - 10 + 83*j**2 in the form b*j**2 + l*j**3 + z + u*j**4 + n*j and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 11, 1\/4, -1\/23, 0, -2\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 13190\/17 - 776. What is the second smallest value in 3, y, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from xxxxxxxnxxxxxnxxxn?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:10 AM and 9:39 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -3*m + 4. Suppose -10 = -3*j - m*b + 4, j + 2 = -4*b. Let x(p) = 4 - p**2 - 3*p**2 - 3*p**2 + j*p**2. What is x(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 126118 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 16320 divided by -1?\nAnswer: -16320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**3 - 6*w**2 + 12. What is v(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes before 10:55 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(5\/20*8\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8.67752 + -0.32248. Which is the closest to 13?  (a) 3  (b) 4  (c) n  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the third derivative of 19*i**7\/210 + 11*i**6\/120 + 673*i**5\/60 - 2*i**2 - 95*i. What is the third derivative of q(b) wrt b?\nAnswer: 456*b + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/24 + (-5200)\/(-1248). Factor 4 + 2*r**2 - 1\/8*r**5 + 6*r - r**3 - 3\/4*r**u.\nAnswer: -(r - 2)*(r + 2)**4\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2598980 or -5?\nAnswer: -2598980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 40*c**3*n**2*p - 9*c**3*p - 5*c**3 + 3*c**2*p - c**2 - 10*n**2 - 18*n wrt p?\nAnswer: 40*c**3*n**2 - 9*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27875878 is divided by 1149?\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 12259 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 11 = -2*c, -10*m - 16 = -14*m + 2*c. Sort -2, 2, 1, m.\nAnswer: -2, 1, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 2*d = -9. Let j(o) = -2*o + 2*o + 2 + o. Give j(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -263*r - 1004*r - 7602 = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 + -1009.4832.\nAnswer: -1013.4832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1184, 5158, 11270, 19526, 29932, 42494?\n\"Answer: c**3 + 1063*c**2 + 778*c - 658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 726 is divided by 72.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9.462 - -0.298. Let n = t + -10. Suppose -166 = -17*h - 132. Is n <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -31 and 0.232.\nAnswer: -7.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 47956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -20, -6, -4 in increasing order.\nAnswer: -20, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1617604*z**3 + 19*z**2 + 68431992*z wrt z?\nAnswer: 9705624*z + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -24\/489919 and -23\/3.\nAnswer: 1469757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 13\/8 in -5, 49, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 154122 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/703 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -3*k**2 - 20*k + 231. Determine b(-21).\nAnswer: -672","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 590 = -3*m + f, 0 = 8*f - 3*f + 5. Let r = m - -242. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - (0 + 5 - (-20 + -31 + 62))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 138 in 0.7, -145, 0.4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52805?\nAnswer: 5, 59, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26417853?\nAnswer: 3, 7, 11, 97, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*u + 34*u - 60 = 0. Let m be (-20)\/u - (-16)\/3. What is the tens digit of (-5)\/(15\/m)*(-195)\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**15)\/s*s*(s**(10\/11)*s)\/s assuming s is positive.\nAnswer: s**(186\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-2\/3)\/(l*(l\/((l*l**(-1)*l)\/l)*l*l)\/l)*(l*l\/(l**(-1)*l)*l)\/(l\/(l\/l**6)) assuming l is positive.\nAnswer: l**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 47.27 - -0.73. Let j = f + -45. What is the closest to -2 in j, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 bigger than -3\/48466?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 14 - 26. Let s(b) = b**3 + 13*b**2 + 13*b + 14. Let g be s(f). Suppose -4*v = -81 - 7. Solve -4*u + v - g = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 1089*s + 5436. Calculate o(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**2 - 1 - 3*k + 0 + 0*k + 38*k**2. What are the prime factors of f(-2)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*h + 12*h + 1515 = 61*h for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*q**4 - q**3 + 0*q**4 - q**4 + (9*q**3 + 1 - 1)*(-2*q - 4*q + 4*q) in the form f*q**4 + x*q**3 + m*q + t + h*q**2 and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -1*5*((-165)\/50)\/11\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 45721847\/10 - 4575858. Let j = -3667 - m. What is the common denominator of j and 23\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 387 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 5 + 9 + -13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 152 + -152. Solve f = -k + 5 - 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 219831?\nAnswer: 3, 73277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1213929760 to the nearest integer?\nAnswer: 34841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**(2\/13)\/w)**(3\/7)*w**(-29\/4)*(w**(1\/23)\/w*w)\/w*w)**(1\/46) assuming w is positive.\nAnswer: w**(-59781\/385112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5099 and 139.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4255788?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8 or -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 30 and 4660.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -230, 10, -5 in increasing order.\nAnswer: -230, -5, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 5297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-10)\/(-45))\/(-1) - (-94)\/18. Suppose 5*t + 2*b - 380 = 0, 0 = -4*t - r*b + 8*b + 327. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 80a + -4?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -2*i**2 - 18*i - 14. Let m be u(-8). Suppose 3*p + 3*q - 6 = p, -m*p = -q + 2. Solve 0*o - 4*o + n - 11 = p, -2*o - 2*n + 2 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.2+85.06760445\nAnswer: 84.86760445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-3)\/2)\/((-3)\/6). Let o(f) = f**3 - 4*f - 5. Let a be o(3). Suppose 4*h + 55 = 3*p, p = 4*h + a + d. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 687112.\nAnswer: 2, 85889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 29083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 25306?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmmmmmmmmm. What is prob of picking 3 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 456 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*q + 39 = 155. Factor 36\/5*o**3 + 4\/5*o**5 - 16\/5*o**2 + 0 - 24\/5*o**q + 0*o.\nAnswer: 4*o**2*(o - 4)*(o - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 273*c**3*i + c**3*z + 56368*i*z - 119*i with respect to z.\nAnswer: c**3 + 56368*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from {z: 1, i: 1, a: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x**2 + 4*x - 1. Let s be y(4). Let g be 5\/s*(-8)\/10. Let i(h) = 0*h + 3*h - 4*h + g. Determine i(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z. Let m be r(-7). Suppose -20 = m*t - 11*t. Solve 0 = -5*i - 0*u - 3*u - 4, 6 = 2*i + t*u for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 96367 is divided by 8694.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -7*m + 2. Let c(x) be the second derivative of x**3\/6 - 51*x. Suppose 3*v - 34 = 3*k - v, 2*k + 16 = v. Give k*c(t) - u(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 15, 0, -22 in increasing order.\nAnswer: -22, 0, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -2*q**5 + 5092*q**4 - 4827768*q**3 + 2022563980*q**2 - 320020485350*q + 2433170814000 = 0.\nAnswer: 8, 453, 695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 234*x + 20424 - 137453 = 218995. Is 117 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(-3\/2)*y**(7\/3))**(-29) assuming y is positive.\nAnswer: y**(-841\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 1 + 2)*(-10*l + 10*l + 16*l**2)*(-194 - 197 + 397 + 6*l) to the form y + i*l**3 + a*l**2 + x*l and give a.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 8*k - 1. Let r be p(2). Let i be (-119 + -16)\/(-1 + 0). Suppose 6*a + i = r*a. What is the highest common factor of 120 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-30)\/8)\/((-429)\/286).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5274 divided by 1758?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -53, -248, -597, -1118, -1829, -2748, -3893?\nAnswer: -5282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6)\/10 - 2268\/45. Let a = i - -54. Suppose 3*t - b = 21, -7*t - 3*b = -3*t - 15. Put a, 1, t in ascending order.\nAnswer: 1, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7230530, 14461058, 21691574, 28922072, 36152546, 43382990, 50613398, 57843764?\nAnswer: 65074082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 429009587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 31*x**3 + 38*x**3 - 105*x**3 + 43*x**3 + x in the form j*x + q + y*x**2 + h*x**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00008540252 rounded to seven dps?\nAnswer: -0.0000854","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2624661 divided by -5?\nAnswer: -2624661\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2301 is divided by 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 606223 to the nearest integer?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*i - 40 = -22*i. Suppose -2556 = -i*g + 1419. What are the prime factors of (4\/6)\/(5\/g)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*d = 13*d + 21. Let y(v) be the third derivative of -v**5\/60 - v**3\/6 - 3*v**2. Calculate y(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6339, 6831, 7649, 8793, 10263?\nAnswer: 12059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 30 and 1470?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3*6\/(-9) - -3. Sort 3, -1\/3, l in decreasing order.\nAnswer: 3, l, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -14 - 3462?\nAnswer: -3506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13 (base 6) to base 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -12?  (a) 1\/7  (b) 45083  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 2149, -2.6, 1.3 in increasing order.\nAnswer: -2.6, 0, 1.3, 2149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -45137\/12 or -3761?\nAnswer: -3761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 724 + -497. What are the prime factors of y?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the first derivative of -31*s**5\/5 + 44*s + 89. Find the first derivative of g(x) wrt x.\nAnswer: -124*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ili when three letters picked without replacement from {l: 2, i: 6}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -24 - -95\/4. What is the closest to h in 0.2, 0.7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t - 4*t = m, -m - 3 = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/29419 and 83\/115258.\nAnswer: 8413834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 3, 529.6, -4, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*(12\/72)\/(8\/(-6))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 9 = -3*h + 10, 0 = 4*m - 5*h + 21. Find the third derivative of -7*y**3 - 18*y**2 + 2*y**5 + 6*y**3 + y**5 + m + 1 wrt y.\nAnswer: 180*y**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 78 - 81. Let w(v) = v**2 + 10*v + 23. Let d be w(r). Calculate the greatest common factor of d and 94.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2667291 and 617.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 45118935 divided by 3?\nAnswer: 15039645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(3) + sqrt(12)\/sqrt(4))*-4 - sqrt(3))*-6 + -4)*-5 - (2 + (sqrt(243) - (sqrt(243) + 1)) + sqrt(243) + -6*(-2 + sqrt(243) + sqrt(243)))**2.\nAnswer: -29552 + 2304*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - g = 15, -4 - 17 = 5*k - g. Let h be -1 + 4*(-6)\/k. Let s = 2 + h. Calculate the greatest common divisor of 77 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 149\/44 - -158\/11. Let q = 18 - s. What is the closest to q in 1\/4, 12, 0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4\/7, -2\/29, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-5)\/u**10)\/(((((u\/(u**3\/u))\/u)\/u)\/u)\/u**(-1\/2)) assuming u is positive.\nAnswer: u**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -2*u + u, 20 = -4*m - 4*u. Suppose -5*r + 2*s + 62 = m, -2*s + 48 = 2*r + 3*s. Let x = -3 + 5. Calculate the greatest common factor of x and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0617 times 1867215\nAnswer: -115207.1655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 50*d - 3127. Give s(67).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-7)\/(f*f**(-5\/4))*f\/f**19*f**23 assuming f is positive.\nAnswer: f**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 11264110430 - 1?\nAnswer: 11264110426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 9685323863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the third derivative of 0 - 1\/12*z**4 + 1\/10*z**5 + 0*z - 1\/6*z**3 - 2*z**2. Suppose -208*h + 213*h - 30 = -5*k, -4*h - 32 = -4*k. Determine a(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5281 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z + p + 43, -3*z + 2*z - 3*p = 1. Let h(f) = -52 + z*f + 9*f**2 + 10*f - 6*f. Is h(15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -52*n**2 - 16*n. Let g(d) = 3*d**2 + d. Let v(u) = 16*g(u) + l(u). Let m(k) = 23*k. Give m(v(b)).\nAnswer: -92*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.4 + 0.7. Let w = 0.02 - 4.02. Which is the nearest to 0.2?  (a) j  (b) -2\/13  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by 195\nAnswer: -2\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 64*b**5 - 12*b**4 + 11868*b**3 - 813352267*b?\nAnswer: 1280*b**3 - 144*b**2 + 71208*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 59 - -26. Suppose -h = -4*k + 31. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -122 - -3. Let z = o + 361\/3. Factor z + 14\/3*n + 16\/3*n**2 + 2*n**3.\nAnswer: 2*(n + 1)**2*(3*n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -15*b**3 - 913*b**2 + 1052*b - 124 = 0. Calculate b.\nAnswer: -62, 2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/70*(-210)\/(-84)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3431 and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1851609379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1002211200002102 (base 3) in base 6?\nAnswer: -1323520402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 9815624 a multiple of 973?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -5  (b) 0.4  (c) 0.106  (d) 2  (e) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -0.3  (b) -4\/7  (c) 15364\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -5*i + 3. Find b such that 6*b**3 + b**5 + 29*b**4 - 26*b**i - 4*b**5 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 905775 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in seventy-four fifths of a tonne?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/d**(1\/3))**(23\/3)*d*d**8\/d*(d*(((d*d**13)\/d)\/d)\/d*d)\/d assuming d is positive.\nAnswer: d**(226\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 13081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 375\/(-150)*(18\/24)\/((-3)\/(-2))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 73 - 73. Suppose n = 3*c + 5*y - 28170, 5*y - 37546 = -4*c + 3*y. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 10*a**3 + 12*a**2 + 3*a + 10. Let r(s) = 9*s**3 + 10*s**2 + 4*s + 8. What is 5*p(n) - 6*r(n)?\nAnswer: -4*n**3 - 9*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a meter in centimeters?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3405585.\nAnswer: 3, 5, 89, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -x + 2*g, 5*x - 37 = 2*x + g. What is the remainder when x is divided by 7 + -2 + (1 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i = -5*l + 31, 3*i + l + 271 = 267 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-39)\/2 + (-12)\/8. Let k(s) = -11*s - 229. Let z be k(y). Which is the nearest to 0.1?  (a) z  (b) -0.02  (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 87\/(-6) - (-3)\/6. Is 3 a factor of ((-10)\/(-4))\/((-7)\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 169 (base 12) in base 2?\nAnswer: 11100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 - (6 + 2 - 45 - -8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1330, -1332, -1334?\n\"Answer: -2*d - 1328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = 3*r + 14, -5*r - 4*v + 6 = -24. Suppose -r*c + 36 = 5*b + 8, c = 3*b + 14. Solve -3*o + c = d - 5*d, -3*d = -5*o + 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -342 - 1401343230?\nAnswer: -1401344122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**3 - 36*p**2 + 135*p + 698. What is c(-39)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-18)\/120)\/((-4)\/((-220)\/(-99))). Let c(m) be the first derivative of 2\/9*m**3 + 1\/6*m**2 + 0*m + f*m**4 - 21. Determine k, given that c(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1878, 1882, 1886?\n\"Answer: 4*y + 1874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -17*g - 15. Let a = 31 - 41. Let o be h(a). Let r = o - 110. What is the remainder when r is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 47989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 113002 + 68618 = 3*j + 5*x, -4*j = 3*x - 242149. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -143.916 - -144. Let k = -0.11 - -0.126. Let g = k + z. Which is the nearest to g?  (a) 0.9  (b) -3\/5  (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, p: 8, k: 4}. Give prob of picking 2 g and 1 k.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**2 - 35602306*y - 71204620.\nAnswer: 2*(y - 17801155)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 279881595.\nAnswer: 3, 5, 7, 23, 79, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -4153?\nAnswer: 4\/4153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (224\/(-6))\/14*(-6)\/4. Let o(u) = 270*u + 164. Let b(m) = 135*m + 81. Let l(h) = v*o(h) - 7*b(h). Differentiate l(q) wrt q.\nAnswer: 135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4 or -0.00046?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 4 + -1 + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**2 - 2*b - 14. Let p = 102 - 38. Suppose 11*q = -5*q - p. Let x be t(q). What is the greatest common factor of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49337251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**4\/6 - 4*f**3\/3 - 7*f**2\/2 - 11*f\/3 - 4\/3.\nAnswer: -(f + 1)**2*(f + 2)*(f + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 220*i = -8448 + 9988 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3795424 and 14?\nAnswer: 26567968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 2281  (b) -241  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 14\/(-49) - 2879\/(-7). What is the second derivative of -411*f**3 + 8*f + n*f**3 - 2*f**5 wrt f?\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 + 677.6483204?\nAnswer: 660.6483204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**3 + 69*p**2 + 191*p - 1049. Is 2 a factor of h(71)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 3*g + 1295 = 0, -3*g = m - g - 646. What is m rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(208)*-5 - (sqrt(13) - sqrt(468)*4).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 292 + -1167\/4. Let z(f) be the first derivative of -1\/12*f**3 - 6 + j*f**2 + 0*f. Factor z(c).\nAnswer: -c*(c - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -359, -367, -381, -401, -427, -459?\n\"Answer: -3*d**2 + d - 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*g + 11*g - 7*g - 3)*(0*g - g + 2*g)*(2*g - 2*g - 2*g).\nAnswer: 10*g**3 + 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 256576581?\nAnswer: 3, 5099, 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n**3 - 3*n**2 + 1. Let o be y(2). Let h be -1 + (-3)\/o - -126. Suppose -h = -2*k + 38. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the first derivative of m**4\/6 + 6*m**2 + 12. Let a(z) be the second derivative of k(z). Let i(r) = -7*r. Calculate i(a(l)).\nAnswer: -28*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:30 PM and 6:49 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24473910 is divided by 8157967.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -2, -2215384 in decreasing order.\nAnswer: -1, -2, -2215384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 458\/55 + -96\/11. Let z = -324.56 - -327.56. What is the nearest to u in z, -0.9, -2\/43?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8403?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 656 = 167. Suppose 0 = -4*p + 45 + b. Suppose 5*y + 37 = 3*r, -4*r + y = -3*y - p. Calculate the remainder when r is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1, -2\/21, 0.5, 3 in ascending order.\nAnswer: -4, -1, -2\/21, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5 + 2. Let m(f) = -2*f**3 + f**3 - 3*f**2 + 3 - 1. Let a be m(n). Solve -3 + 5 = -a*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*f = 3*k - 3*f - 22, 5*k + 2 = 3*f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 547024.7 years?\nAnswer: 6564296.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 86.03 + -86.53. Which is the nearest to -31?  (a) r  (b) -5  (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = 40*l + 351 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7*(-329)\/282 - -7?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 2*a + 11 = 0, 4*o - 17 = -0*o - 5*a. Let t(b) = 3*b - b**2 + 29*b**o - 31*b**3 + b**2 + 1. Calculate t(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 23741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 2*r**3 + 40*r**2 - 16*r - 385. What is z(-20)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the second derivative of n**5\/20 - n**4\/3 - 4*n**3\/3 + 3*n**2\/2 + n. Let h be d(6). Suppose 3*r - h = -9. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -4*f. Let v = -5 + 30. Let h(q) = v*q**2 - 23*q**2 - 10*q**2. Calculate k(h(l)).\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -657*g - 721. What is u(-1)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1034 = 5*v + 19. Is v a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j - 3*j - 13 = -p, -p - 2*j - 1 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -31 + 33. Let z = -19 + v. Is -0.1 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 4*a**3 + 2*a**2 - 1. Let g be y(-1). Calculate the common denominator of (3 + g)\/(-4) + 1\/(-9) and -37\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**3 + 36*g**2 + 88*g - 1358. Calculate k(-30).\nAnswer: 1402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 49241564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -89\/1640 and 39\/800.\nAnswer: 32800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000016182 rounded to 7 dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 18 + -17.99999915. Round l to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8.1 in 541, 0.1, -24, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -58*w**3 - 4*w**2 - 5*w. Let r(j) = -115*j**3 - 8*j**2 - 9*j. Let s(t) = -5*q(t) + 3*r(t). What is the third derivative of s(v) wrt v?\nAnswer: -330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 383 - 382. Which is greater: 2\/523 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 24 - 22. Suppose -2*b = -5*m + y*m + 17, 5*m = -4*b - 1. Suppose 0 = -2*h + 4 - 2. Solve 3*s - m = -2*i - 2, 0 = s + h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f**2 - 5*f + 4. Let g be h(-5). Suppose g*n - 4*t - 53180 = 0, -2*t - 66495 = -5*n - t. What is n rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.3  (b) 0.1  (c) 273938  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.6 - -21.6. Let h = -27 + j. What is h rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and 0.006356.\nAnswer: -0.03178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -b6 + -d3d?\nAnswer: -e04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 9*g**3 + 0*g**2 + g**2 + 0 - 1 to b + r*g + z*g**2 + y*g**3 and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*(-6864)\/60*(-3)\/(-33).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 20593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22109 + 445*z**3 + 22109.\nAnswer: 445*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 133\/324792 and -41\/1371344.\nAnswer: 12342096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**2\/7 + 389072*f - 132454893536.\nAnswer: -2*(f - 680876)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -51, -157, -327, -555, -835, -1161?\n\"Answer: c**3 - 38*c**2 + c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/1565 and -23\/17577454.\nAnswer: 87887270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1411927327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 70 = -26. Let i = v + 34. Does 44 divide 1130\/6 - 1\/6*i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*o - 3 + 3 - 2*o - 2*o + 2*o + (4 + 0 - 6)*(0*o + o + 0*o) - 5*o - o + 5*o + (18768 - 9343 - 9385)*(6*o + 16 - 16) in the form q*o + m and give q.\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 478043094 to the power of 1\/2, to the nearest integer?\nAnswer: 21864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 64.174 + 0.826. Which is smaller: x or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**3 - 75*t**2 - 158*t + 305. Determine a(77).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 365*b + 5*b**4 + 135*b - 121*b - 18*b**2 + 30*b**2 wrt b?\nAnswer: 60*b**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/33, 1\/2, -1\/53?\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1081 and 6486?\nAnswer: 6486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 69342 and 13093626?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 46, 95, 144, 193, 242?\n\"Answer: 49*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 586 + -581. Suppose t + l*x - 1938 = 0, 0*t - 2*x - 1931 = -t. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m + 3*u + 9 = 0, -6*m - 2*u + 2 = -8*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3293\/5 - -1299\/2. Let y = -3\/67 - -222\/469. Calculate the common denominator of y and s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (174730\/(-4844))\/((-55)\/154).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, p: 6, u: 6, w: 4}. What is prob of picking 4 w?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*s**3 - 11\/9*s**4 + 0*s**2 - 1\/9*s**5 + 0*s + 0.\nAnswer: -s**4*(s + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 664694 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/55 in 1\/2, 0.16, -3\/5, -4\/7?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -25\/2 - -13. Let v = 0.6 - 0.63. Let n = -2.97 + v. Which is the closest to -1?  (a) n  (b) r  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3781 and 1690031?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 44 + 35 - 160 - 6*q. Give j(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = -3*w - f, -f - 48 = -4*w - 5*f. Suppose w = 5*q - 28. What is the highest common divisor of q and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22533\/261 + -85 + 310\/6.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of (-42 - -44)\/(2\/11) and 15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j**2 - 7032*j - 14080 = 0.\nAnswer: -2, 1760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -9*v + 134. Determine p(16).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54 = -3*l - 3*l. Suppose -2*v = -2*y - 292, -v = -6*v + 3*y + 726. Suppose 4*z = 2*z + v. What is the highest common divisor of l and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0105 less than -53681442?\nAnswer: -53681442.0105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = 2*i + 4 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12 (base 9) to base 2.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 24, 2, -32, -78, -136, -206?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 13 - 41322?\nAnswer: -41305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12612080 and 630604?\nAnswer: 12612080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9)\/1 + 38\/((-1786)\/705)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2*3\/12*-74. Let s = -16 + -10. Let l = s - c. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 572083.29us to days.\nAnswer: 0.000006621334375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.50651 - 0.10651. What is the nearest to 6 in l, -3, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18, -14, -6, 2 in increasing order.\nAnswer: -18, -14, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (60*a**2 - 87*a**2 - 74*a**2)*(-1 + 0 - 1)*(3 + 1 - 3).\nAnswer: 202*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve w = 7 - 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.02, -5, -3, 0.5, 2 in decreasing order.\nAnswer: 2, 0.5, 0.02, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 637 = -2*o + 130, -5*o - 2*v + 1920 = 0. Let u(m) = -3*m + o - 386. Let a(r) = 64*r. Calculate u(a(b)).\nAnswer: -192*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1644866982.00008 - 1644809261. Let f = h - 57713. Let a = 8 - f. What is a rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - (4 - 1)) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c = -c - 10. Solve -2*l + 8 = c*d - 0*l, 2*d = 3*l - 17 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + 0 + (12 - 8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -5, -4, -19 in descending order.\nAnswer: 0, -4, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*c**3 + 16216024*c**2 + 70291360 wrt c?\nAnswer: 6*c**2 + 32432048*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3 - ((-60)\/36)\/(3\/1854) is divided by 93?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8096\/(-155848))\/((36\/(-21))\/(-4))?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 170 and 23630?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - 6 - (-88 + 70) - (-3 - -17) - 23.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18 - n - 18)*((-1 - 3 + 2)*(-4 + 4 - 2) + 6 - 4 - 3)*(-3 - 2*n + 3).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 4*q**2 + 2*q + 1. Let i be t(-1). Suppose 0 = 2*f + z, -2*f - z = 3*f + 6. Let o be ((-4)\/6)\/(f\/6). Calculate the highest common divisor of i and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 524563, 524506, 524411, 524278, 524107, 523898?\nAnswer: 523651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -16493 and 8.7?\nAnswer: -143489.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7 - 3. Suppose h + 705 = v*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 - -3. Let x = -8 + 51. Let t = x - 19. What is the highest common divisor of t and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 543.119 kilometers in meters?\nAnswer: 543119","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -2, -4, 1\/232?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -512\/55 - -47\/5. Which is the second smallest value?  (a) t  (b) -0.3  (c) -0.5  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13647 - 13644. Sort 22, k, 1, -148.\nAnswer: -148, 1, k, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2441*r**3 + 4*r**2 - 5*r**2 + r**2.\nAnswer: 2441*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 3*r + 595 = 3*k, 478 = 4*k - 2*r. Suppose -3*s + 86 = 2*m - 241, -s - 5*m + k = 0. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b - 25*d + 34 = 17*d - 45*d - 40, 4*b - 5*d + 37 = 0 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 8 = 3*t, 5*t - 59 = -5*z - 19. Suppose 4*f + t = -q - 9, 9 = 3*q. What is the closest to -0.1 in -1, f, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l**3 - 2*l**2 + 3*l + 2. Let i be h(-3). Suppose -15 + 9 = -i*c. Suppose 0 = 3*n - 5*x - 38, -5*x + 74 = n + c*n. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {n: 6, w: 1, z: 3, q: 5, f: 2}?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -96\/7*w**2 - 76\/7*w**4 - 4\/7 - 124\/7*w**3 - 34\/7*w - 18\/7*w**5.\nAnswer: -2*(w + 1)**4*(9*w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) 1  (c) 565\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -276 = -4*f - 3*u - u, 0 = 2*f - 4*u - 156. Suppose 23 = -o - 5*k + 3*k, 3*o + 65 = -2*k. Let b = f + o. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((1680\/75)\/7)\/((-28)\/(-10))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1648, 1627, 1556, 1441, 1288?\nAnswer: 1103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2867 = 51*s + 1745 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 375 = 5*k - 6271*a + 6276*a, 6*k - 5*a + 386 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Total of 78 and -5175075016749.\nAnswer: -5175075016671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*q + 722 = 3*v + 48*q, 2*q + 2 = 0. What is the remainder when 939 is divided by v?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 59\/3 + -19. Which is the nearest to -0.1?  (a) -0.5  (b) h  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 57\/5 of a kilometer?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 10111021201001 (base 3) to base 13\nAnswer: 4cc924","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(((sqrt(120) + 1*sqrt(120))\/sqrt(4))\/(sqrt(90) + 2*sqrt(90)) + (5 + (sqrt(108) + -3)*-4)**2).\nAnswer: -7342*sqrt(3)\/3 + 6051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a week in minutes?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 4 - 4 + 0 + 3 + 0 + (-5 - 1 + 4)*(-1 + 4 - 1))*(4*m + 2 - 4*m - m**2) as o + d*m + z*m**2 and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1545.3 + -1545.3. Sort 4, a, 9, 0.04 in increasing order.\nAnswer: a, 0.04, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k**3 - 15*k**2 - 5*k - 16. Let g be o(15). Let c = g - -154. What is the remainder when c is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 640523.7639 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o + 8. Let q be b(6). Suppose -5*v - q*s - 70 = -3*s, 14 = -3*v - 5*s. Let m = 23 + v. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -2*q**2 + 10*q - 24. Let c be t(7). Let u = 430 - c. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 592, 1186, 1780?\nAnswer: 2374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/1879995 and -111\/4242040.\nAnswer: 165439560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1277659 rounded to 3 decimal places?\nAnswer: -0.128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, -5, 5, 3, 1 in decreasing order.\nAnswer: 5, 3, 1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z*z*(z*z**(2\/13)*z)\/z*z*z)**(-13\/3)*z**25\/z**(-5\/8) assuming z is positive.\nAnswer: z**(-25\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Total of -341459.3679569 and -4.\nAnswer: -341463.3679569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 398650 and 11900?\nAnswer: 797300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (72\/10)\/((-40)\/(-500)). Suppose -5*o + 3*y = -z, -5*o - y + 55 = -o. Calculate the lowest common multiple of o and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 - 1059237657\nAnswer: -1059237663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -35969*f + 35969*f + 1353*f**2 - 2*f**2 + 0*f**2 + f**2 + (-f + 0*f - f)*(-4*f + 2*f + 3*f).\nAnswer: 1350*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -43060 (base 8) in base 6?\nAnswer: -215104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 36523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**3 + 8*k**2 + 9*k + 5. Calculate d(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1042 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Do 15440 and 15447 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 52645*w**6 + 3*w**4 - 8399*w**2 + 4*w wrt w?\nAnswer: 6317400*w**3 + 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = 4*k - 21 - 187, k = -2*l + 100. Suppose 2*g + l = 4*j, 0*j + 5*j = -5*g - 120. Let m = 1 - g. Calculate the remainder when m is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**3 + 7*q**2 - 9*q + 19. Let a be l(6). Is a smaller than -2\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 26849 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b - 4*b + 3*b + 3*b. Let v(h) = 6*h. Calculate c(v(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 1829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-3)\/11)\/((-9)\/(-6)). Which is the smallest value?  (a) 3  (b) -3  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 146*b - 34*b = 36*b + 8*b + 68 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*m + 10*m - 100580 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 75 - 52 = 5*k, -2*h = 4*k - 8. Let j(g) be the third derivative of -1\/660*g**5 - 8\/33*g**k + 0 - 1\/33*g**4 + 15*g**2 + 0*g. Solve j(n) = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(-2))\/3*(38\/19)\/((-3)\/(-75))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/30)\/(6\/(-5))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15696 - 15696 - 11*x.\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + ((sqrt(180) - (sqrt(180) + -1))*-1 + 3 + 1 + sqrt(180) + 5)*-4)**2 + 1.\nAnswer: 1392*sqrt(5) + 3722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2 + 102?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -40788 divided by -66?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m = -2*f - 47, 128 = 5*m - 5*f - 102 for m.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6859 = 86*m - 11847 for m.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 180*m**2 + 174*m**2 + 79*m**2 in the form d*m + o*m**2 + u and give o.\nAnswer: 433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 169, 338, 505, 670?\n\"Answer: -p**2 + 172*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -11277288 divided by -129624\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*p - 6*p**3 - 41*p - p**2 + 91*p + p**3 + 4*p**2 to the form w*p**2 + u*p + x*p**3 + i and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**3 - 5*y**2 - 11*y + 48. Determine z(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -52519240 to the nearest 1000000.\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f + 1. Let l be 15\/6*12\/5. Let n(m) = 3*m + 6. Let s(j) = l*d(j) - n(j). Let p(z) = 4471 + 5*z**2 + 4465 - 8936. Calculate s(p(q)).\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.151 - 6.849. Which is the closest to o?  (a) 2\/9  (b) 0.4  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3879 and 711?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - (-1 + -6 + 16) - 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77) - 2*sqrt(77)*-1)\/(sqrt(567)*-1) + ((sqrt(1331) + sqrt(1331) + 0 + 4)*6)**2 + -2.\nAnswer: 19007*sqrt(11)\/3 + 192238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the third derivative of -z**4\/24 + z**3\/6 + 1969*z**2. Let v(r) = 10*r + 11. Give -22*h(w) + 2*v(w).\nAnswer: 42*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 131*j + 703. Determine q(-7).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -393*l - 2405 = -208*l for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -25914*r**2 - 12897*r wrt r?\nAnswer: -51828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by 41\nAnswer: 5\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 41 - 41. Let o = 3 - 3. Let s = 2 + o. Which is the second biggest value?  (a) s  (b) n  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7129468400 to the nearest one million.\nAnswer: -7129000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lxikjhl. Give prob of sequence ll.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1630893497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 41081 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -10*3*2\/(-15). Suppose 3*a = 4*h - 14, 2*a + 8 = -2*h + v*h. Is ((-6316)\/24 - 0)\/(h\/(-12)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 10, 70, 236, 562, 1102, 1910, 3040, 4546?\n\"Answer: 9*r**3 - r**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 9 - 11 + (7 + 1 - 1)*(-6 + 5 - 8))*(0*f**2 + 3 - 4 - 3*f**2).\nAnswer: 237*f**2 + 79","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 104 and 288?\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4052322522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2984119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-12)\/(-150)*5)\/(-1))\/((-200)\/(-125)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**2 - q + 39. Does 20 divide i(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -6*f - 32. Let y(i) = -24*i - 117. Let u(d) = 9*a(d) - 2*y(d). Calculate u(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11054914 + 8939383. Suppose -11*j = -25215703 - f. Round j to the nearest one hundred thousand.\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-5)\/(-1)*(-324)\/(-15). Let i = -70 + h. List the prime factors of i.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*k*w**4 + 4*k*w**2 + 23*k*w - 576175*w**4 - w**3 + 90*w**2 + 11*w - 2 wrt w.\nAnswer: 48*k*w - 13828200*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-5 + -2 + 3 + (sqrt(175) - 2*sqrt(175)) + 3*(0 + sqrt(175) + 1))**2.\nAnswer: -20*sqrt(7) + 699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 13*k**3 - 41*k**2 + 3*k + 47. Let j be 2\/((-85)\/(-15) + -5). Let h(a) = 5*a**3 - 14*a**2 + a + 16. Let s(n) = j*v(n) - 8*h(n). Calculate s(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 1 k, and 1 u when three letters picked without replacement from fududfqk.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/15 and 74\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 1171767 divided by -5\nAnswer: -1171767\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 15 = -2. Let l be 1\/((-6)\/72*-3). Let w be ((-3)\/(-3) - 5)*l. Is g > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -120 = -8*v + 4*v. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g + 12*g + 29*g - 5*u = 53, -4*g - 4*u = 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -23 - (-43 + -33 + -1 + (11 - 11))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -2*o, -41*h + 23382 = -39*h - 2*o. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -27\/2 + 121\/6. Suppose 2*n - 559*q + 555*q = 32, -4*n + 5*q + 46 = 0. Factor -t*h**3 - 8\/9*h + 2*h**n - 46\/9*h**2 + 0.\nAnswer: 2*h*(h - 4)*(3*h + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 452 divided by -5060\nAnswer: -113\/1265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26777897?\nAnswer: 19, 74177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1 - 0. Let d be -1*5*(-1)\/c. Suppose 0 = -5*g - 4*y + 131, -d*y = -4*g + 163 - 50. What is the remainder when g is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = g - 74. Calculate the remainder when 15\/(-15)*(-5)\/((-25)\/(-920)) is divided by g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 51494012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(16)\/(sqrt(8)*-2) + sqrt(50) + -1 - ((sqrt(128) + -1 + -3)*-3)**2.\nAnswer: -1297 + 1161*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.2, 21521, 1\/4, -5, -0.3, -2\/3, 38?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 110\/935 - (-87)\/(-17). Let t(f) = -f**2 - 2*f + 2. Calculate t(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 110 and 5170?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 - -4. Suppose 3*t - 4*t = -v. Let -20*b**5 + 34*b**3 + 4 + b**t + 4*b**2 - 7*b**2 - 14*b - 2*b**4 = 0. What is b?\nAnswer: -1, 2\/5, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 127105\/92 and 1383 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**3 - 2*o**2 - 13*o + 4. Suppose -408 = 2*a + 2*y, -8*a + 4*a - 2*y = 810. Let f = a - -206. Determine z(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -1231*q - 12255. Calculate w(-10).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39 = -5*t + 34*i, -10*i = 3*t - 8*i + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 79\/5, -5\/3, 78.7, 0, 6 in decreasing order.\nAnswer: 78.7, 79\/5, 6, 0, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -14.7123082 rounded to 2 dps?\nAnswer: -14.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 22071778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -13*s. Let h(t) = 5*t - 3. Let a(j) = 11*j - 7. Let b(k) = -3*a(k) + 7*h(k). Determine m(b(q)).\nAnswer: -26*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 4926321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3\/9017602 or -1?\nAnswer: -3\/9017602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 0, -95, 7 in increasing order.\nAnswer: -95, -1, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -346, -343, -340, -337?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the third derivative of -l**6\/120 + l**4\/8 + l**3\/6 - 83*l**2. Give p(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-136)\/10 - (-36)\/6)\/((-1)\/(-10)). What is j rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -5*f + 30. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1676 and 3932.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.3 - 6.3. Let o = 7.6 - 1.2. Let v = o + p. Which is the third biggest value?  (a) 4  (b) v  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 2, j: 5}. What is prob of sequence jjv?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3279*k + 16 = 3281*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(17) + (sqrt(17) + sqrt(17) + sqrt(612) + 5)**2 - 6*sqrt(612).\nAnswer: 45*sqrt(17) + 1113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -21 - ((-3 + -6 - -6) + -4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k - 6*k + 15. Let y = 10 + -10. Solve 2*o + 1 + k = y for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the first derivative of -2*f**5\/65 + f**4\/26 + 34*f**3\/39 + 15*f**2\/13 - 443. Suppose k(i) = 0. Calculate i.\nAnswer: -3, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let s = -31.1 + 29.1. Let d(l) = l**3 + l**2 + l + 9. Let v be d(0). Let y be 2\/(-4) + 3\/v. Which is the closest to 0.09?  (a) s  (b) y  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 10\/77  (b) 1\/43  (c) 3\/104\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 328\/(-410)*20\/8. Sort 13\/8, 0.26, i in increasing order.\nAnswer: i, 0.26, 13\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -878, 1, -4, 3, -3 in increasing order.\nAnswer: -878, -4, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4597 + -2912. What are the prime factors of v?\nAnswer: 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -4*p - 29. Let v be j(-9). Suppose -v*t + 3*t - 3*u = -7763, -5*t + 4*u + 9696 = 0. What is t rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -n + 5*u, -6*n + 3*n + u + 12 = 0. Suppose -62 = -n*p - 6. Find the third derivative of i**6 - 10*i**2 - 12*i**6 - p*i**6 wrt i.\nAnswer: -3000*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 628801630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-924)\/210*(-1 - (-64)\/24) + 5?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 (base 7) in base 4?\nAnswer: 3012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1503 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4882 is divided by 2425?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 3258*i**4 - 1628*i**4 - 1627*i**4 - 19*i - i**2 in the form z*i**4 + a*i**2 + r*i + y + x*i**3 and give r.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - ((-510)\/450 + (-4)\/(-30))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) + sqrt(18)*2 + -2*sqrt(2) + 5)**2.\nAnswer: 50*sqrt(2) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1.8 and 310.54739.\nAnswer: 312.34739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 139 a factor of 1977604189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -49054*i**2. Let w(p) = 4*p. Determine k(w(n)).\nAnswer: -784864*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 120 + -3. Suppose -65 = -12*h + 7*h. What is the greatest common factor of b and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0469950101 rounded to six decimal places?\nAnswer: -0.046995","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -160 = 363*d - 368*d. What is the remainder when 78 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -24 + 24*v**4 + 54*v**3 + 69 - 3*v**2 - 27*v - 39 = 0. What is v?\nAnswer: -2, -1, 1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1197 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3491768 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 226732224 to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -5*h**2 + 12*h + 24. Determine f(-3).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -6 + 4 - 7*s**2 + 2*s**2 - 5*s + s**3. What are the prime factors of a(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27230*s + 28442*s + 45576*s + 61777*s.\nAnswer: 163025*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 12 = 0, 0*z = n - 3*z + 240. Let g = n - -339. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**2 + 10*i + 6. Suppose 0 = 2*z + 2*b - 24, 0*b - 31 = -3*z + 2*b. Let y be v(z). What is the closest to -1 in -1\/7, y, 2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 3 + 4)*((2 + 7 - 3)*(-c + 5*c - 2*c) - 2*c + c + 2*c)*(-3 + 3 + 3) + c + 2*c - 2*c in the form f + s*c and give s.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -2*z**3 - 13*z**2 - 10*z - 5. Let y be j(-10). Suppose -62*c + 57*c + y = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 769.8 + -770. What is the second smallest value in 3, 0.1, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, -3, 2, 163766 in decreasing order.\nAnswer: 163766, 2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 113, 245, 395, 569, 773, 1013?\nAnswer: 1295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -3*d + 13. What is a(-11)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**3 - 6*y**2 + 5*y + 2. Let i be j(5). Let s(c) = -2*c**3 - 24*c + 24*c - i. Let a(p) = p**2 - 1. Let w(m) = a(m) - s(m). Calculate w(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p + 5. Let t be r(5). Suppose a = -t*a + f - 139, -f - 405 = 3*a. List the prime factors of (-2)\/11 - a\/22.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16186 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 482 - 458. Solve n = 12*g - 6*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -70, -78, -74, -52, -6?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.05 - 0.35. Let p = 0 + i. Which is the closest to 0.1?  (a) -2\/3  (b) 0.4  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + l = -3*l + 8, m + 4*l + 1 = 0. Find the third derivative of -m*i**2 - 46*i - i**2 + 46*i + 3*i**5 wrt i.\nAnswer: 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -30.055 + 30. What is d rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 14605c57 - -4?\nAnswer: 14605c5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -41*k - 153. What are the prime factors of n(-13)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 6057  (b) -9  (c) 7\/2  (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 83.7 + -88. Let j = -0.7 + f. Let t be (-20)\/(-6)*(-84)\/(-49) + -6. Which is the nearest to t?  (a) j  (b) 2\/19  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y**3 - 6*y**3 + 3*y**3)*(0*y - 4*y + 2*y) + (-y + y - y**2)*(3*y + y**2 - 3*y) - 2*y**4 + 1 - 1 + (-6*y**4 + 16*y**3 - 16*y**3)*(88 - 42 + 21).\nAnswer: -403*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/30 and -13\/22569.\nAnswer: 225690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 34 + -20. Suppose 1 = -4*n + 5*k - 11, 5*k = 20. Suppose n*m - 19 = -9. Calculate the remainder when u is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 722?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -6 + (-2 - (8 + -36)). Suppose o = m - 520, 18*m + 5*o = j*m - 1034. Is 18 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:38 PM and 12:28 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = -3*b - 4*u, 4*b - 6*u = -3*u - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.16 in 0.3, 10, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 211 - 212.23. Let x = -3.77 + j. Let q = 1.5 - 2. What is the third smallest value in 0.2, q, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7)\/(-2))\/7 - -2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**3 + 45*r**2 - 25*r - 543. What are the prime factors of t(-33)?\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g + 6*g + 4*a + 23 = 0, 25 = -5*a. Let v be (80\/(-84))\/(-5)*g\/14. Is v at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 2 - 4 + (0 + 2 + 1)*(0 - 3 + 5))*(-4*g**2 + 5 - 5) to v + i*g + d*g**2 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 667 - 679. Which is the second biggest value?  (a) 4\/7  (b) -1  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -39 in 4\/7, -4, -0.5, -175647, -0.9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (184\/(-161))\/(1\/(7\/(-2)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*h = -23*h - 16 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 288413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a + 5*t + 1893 + 476, -3*a - 2*t + 7175 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 2*q = 5. Let j = q - -3. Calculate the remainder when 27 is divided by 4*1\/j + 12.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 n when two letters picked without replacement from racafnrrnaba?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -133154361 (base 7) in base 13?\nAnswer: -1a29c6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 - (-26 - -79 - 11).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 2, a: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 44 + -41. Let h(m) be the third derivative of 0*m + 1\/12*m**4 + 0 - u*m**2 + 0*m**3 + 1\/30*m**5. Factor h(q).\nAnswer: 2*q*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -93\/8 and 10\/721.\nAnswer: 5768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 94\/15 and -79\/1944.\nAnswer: 9720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 332087.\nAnswer: 7, 47441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4 + 6)*(-1)\/(-1). Suppose 0*i + j*i - 2 = 0. Let u(t) = 50*t**2 - t. Is 11 a factor of u(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3173\/66266 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 3 = -3*g, -2*g = -h + 26. Let x(r) = r - 5. Let o be x(-11). Let l = h + o. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -109  (b) 20  (c) -3  (d) -51  (e) -190\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -22, -45, -68, -91?\n\"Answer: -23*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -1090*d**3 - 92*d**2 - 6. Let t(m) = 1091*m**3 + 93*m**2 + 6. Let v(y) = -2*c(y) - 3*t(y). What is the third derivative of v(x) wrt x?\nAnswer: -6558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -654526 (base 8) to base 13\nAnswer: -78b8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 310 divide 614630535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26233?\nAnswer: 37, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 211, 278, 345, 412, 479?\nAnswer: 546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1890237 and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.1 + 5.6. Let u = 21 + -18. Let i = k - u. Round i to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i - 3*l + 6, -4*i + 2*l - 6 + 2 = 0. Let b(f) = -f**3 + f**2 + 2. Let o be b(i). Let k be o + (-1 - 1) - -2. Solve -k*r + 5 - 1 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1934*a**4 - 333*a**2 + a?\nAnswer: -46416*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**0*(i**7*i)\/i)**(-1\/29)*(i\/i**(2\/5)*i**(-5))\/(i**(-1\/3)*i**(-2)) assuming i is positive.\nAnswer: i**(-1019\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) -5  (c) -0.06  (d) 5  (e) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 464925116.\nAnswer: 2, 43, 53, 51001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18 + 16*t**2 + 35*t**2 - 2*t + 26.\nAnswer: 51*t**2 - 2*t + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/1*(-5)\/(-4). Suppose 0 = -c*b + 68 + 52. Does 24 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -0.2  (b) -4  (c) -5  (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 4 + 1)*((-1 - 4 + 4)*(0*g**2 - 2*g**2 + 3*g**2) - 3*g**2 + g - g + 2*g**2 - 122 + 122).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the first derivative of 1 + 1\/2*d**3 + 0*d + 3\/4*d**2. Factor z(a).\nAnswer: 3*a*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1078 by -55306.\nAnswer: -539\/27653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -469 + 451.5. What is u rounded to zero dps?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1010 (base 2) to base 6\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - d = 0. Let b be (d + 265\/10)*-2. Let h = b - -56. Solve -h*u = 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -q**3\/6 - 59*q**2\/6 - 899*q\/6 - 841\/6 = 0. What is q?\nAnswer: -29, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/(-3) - 62241\/186642. Let m = n - -293221\/19970694. Let o = -93719\/21186 + m. Calculate the common denominator of o and 59\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 71488?  (a) 2  (b) 1  (c) -1\/3  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -236 = 2*r - 38*r - 272 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 273.9643mg?\nAnswer: 0.0000002739643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -4*d**3 + 5*d**2 + 3. Let g(l) = -l**3 - 3 - 7 - 1 + l**2 + 12. Determine 5*g(t) - q(t).\nAnswer: -t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 131397 times -44\nAnswer: -5781468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -91 + 4.3\nAnswer: -86.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2832*i**4 + 1378*i**3 + 106731*i**2 - 62*i?\nAnswer: -67968*i + 8268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**3 - v**2 + 2*v. Let l(o) = -6*o**3 + 13*o**2 - 3*o + 6. Let k(q) = -l(q) - 5*u(q). Let a be k(9). Solve 5*b - 2*b = 3*g + 12, 2*g = 3*b - a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 427 + 0?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -24 + 657\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 5*d**2 + 8*d - 31. What is s(5)?\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 7554 = -h, -2*c + 31440 = 3*h + 8817. What are the prime factors of h?\nAnswer: 3, 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -23 - 1f?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 3\/50 of a kilogram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -257.385 rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -0.03303 times 0.4\nAnswer: -0.013212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 12 and 1397244.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9751 divided by -292.\nAnswer: 9751\/292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 99\/598 and -61\/234.\nAnswer: 5382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*m**3*n - 155*m**2 - 310*n with respect to m.\nAnswer: -6*m**2*n - 310*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10960502 is divided by 843115.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 6*j**3 - 5 + 1 - 5*j**3. Let v(i) = i**3 - 1. What is -l(f) + 4*v(f)?\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 + 1. Let u = -154.9 - -155. Which is the closest to q?  (a) u  (b) -0.3  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -177.9 - -189. Let y = h + -0.1. Let t = -10.965 + y. What is t rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -231.38 - -228. What is w rounded to 1 decimal place?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u**3 + 5*u**2 + 4*u + 18. Determine l(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 22 - 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2795*s = -2839*s - 704 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 0.32, 0.9 in decreasing order.\nAnswer: 1, 0.9, 0.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -320, 0, -261 in ascending order.\nAnswer: -320, -261, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*s - 71 = 25 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -21717294.\nAnswer: -1\/7239098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p + 2*p - 3*p - 6*p + 4*p + 3*p + (-1 - 1 + 0)*(p - 2*p - p) - 3*p + 3*p - 2*p + 3*p + 20*p + 3*p)*(-p + 222*p**3 - 111*p**3 - 106*p**3).\nAnswer: 135*p**4 - 27*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 28 = 3*b. Suppose 5*y + 45 + 0 = 3*m, -4*m = 4*y - b. Calculate the remainder when 19 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1175, 2530, 3855, 5144, 6391, 7590, 8735?\n\"Answer: -q**3 - 9*q**2 + 1389*q - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -3*v + 4 + 14, 24 = 5*r + 2*v. Let d = 3 + 2. Does d = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -13358, -13359, -13360?\n\"Answer: -n - 13357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 134 = 438. Let t = j + -134. What is the least common multiple of 70 and t?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*t + 2*t - 30 = 3*z, -t = -3*z - 12. Let g be (-2)\/t + 6\/27*-3. Suppose -2*c = -4*i + 212, -5*c + 10 = -g*c. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = i + 16, 3*i = -4*b + 40. Suppose 0 = -p + 25 + b. What is the remainder when p is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 120*d**3 + 128*d**3 + 602*d**2 - 33*d**3 wrt d?\nAnswer: 1290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9 by -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 17368486 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 9*w**3 - 4*w**2 - w. Let m be c(-1). Let d = 17 + m. Suppose -d*v + v = -76. What is the highest common factor of 209 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2508\/13 + -13437\/65. Let v = k - -14. Which is the smallest value?  (a) -5\/3  (b) 3\/4  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1776564429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56*z - 58*z + 18 = 0. Is z not equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(3\/16)*w**4\/w)**(1\/6) assuming w is positive.\nAnswer: w**(17\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.63717 - 1.722. Round b to three decimal places.\nAnswer: -0.085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 2*x + 1933. What is the units digit of o(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1020 divided by -60.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from qqffqqffqqqfqqfqqq?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-12)\/(-16))\/(2\/8). Solve 3 = 3*r - h, 5*r - y - 2 = -4*h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 210 = -208. Is 9092 + i*(-4)\/8*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(162)*-1 + sqrt(162))*5 - (5 + 4 + sqrt(162)) - (-2*sqrt(162)*-3 - -3*2*sqrt(162)))**2.\nAnswer: 2106*sqrt(2) + 27459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.085 + -180163411.\nAnswer: -180163410.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -6*w**2 - w + 1. Let k(f) = f**3 + 16*f**2 - 1. Let o be k(-16). Let a be m(o). Let b(h) = -51*h - 5. Is b(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -3*x**3 + 2*x - 5. Let j be c(3). Round j to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 2*d + 2*v = -174, -d + 3*v = -56. Let a be d + -1*2 - 1. What is the remainder when a - (2\/1 - 2) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:26 PM and 10:27 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/2 - 10302\/(-12). Suppose -x + n = 2*x. Suppose -s = -1943 + x. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -31 - -31. Suppose 0 = n + 2*j - v*j, 5*j + 5 = 0. Solve -o = -x - 0*x - 5, o = n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5, 2\/9, -0.41?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 156.96 to 0 decimal places.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s + 15 = 0, 229*s = -2*n + 231*s + 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = 12 + 18. Suppose 2*i + 3 = -i. Let r be (i - -11) + -3 - 2. Calculate the greatest common divisor of c and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14\/3*(-18)\/84*7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-10)*(-5 + 1100\/209).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 5\/(125\/(-2))*(-5)\/2*2\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2233787 is divided by 1614.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:03 PM and 10:10 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -152 + 148 - ((-369)\/(-30))\/(-3)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39570 = 2406*l + 167032 + 21968 for l.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 544495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 53, 2, 6, 2\/9, 0.2, 3, 11\/2.\nAnswer: 0.2, 2\/9, 2, 3, 11\/2, 6, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-8\/13)\/d)\/(d*d*d**(-4\/37)*d) assuming d is positive.\nAnswer: d**(-2168\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 318*c**3 + 310*c**3 - 328*c**3.\nAnswer: 300*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*-148484699.\nAnswer: 148484699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 15*c*u**3*z - 26171*c*u**3 - 2*c*u**2*z - 84*c*u*z - c*u + 2815*z wrt u?\nAnswer: 90*c*u*z - 157026*c*u - 4*c*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*w - 18 - 54. Let m(n) = 3*n**2 - 34*n - 8. Let l be m(w). Solve -10*k = l - 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-36)\/90 - (-16)\/(-10). Calculate the common denominator of -123\/10 and 1 + y - 301\/49.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**3\/5 - 38*v**2\/5 + 128*v\/5 - 24.\nAnswer: 2*(v - 15)*(v - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 8*g + g - 5*g. Let z(j) = 5 - 2*j - 5. What is z(x(u))?\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (-91 + 4*r + 43 + 18)*(50 - 50 + 5*r**3) as y*r**4 + n*r**3 + m + j*r**2 + o*r and give n.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 - (-13 + (8 - 1))) + -37 + 7?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6694107644 to the nearest integer?\nAnswer: 1885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1020209.\nAnswer: 67, 15227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -131*a + 123*a = -40. Sort 0, a, -1, -14, 1.\nAnswer: -14, -1, 0, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 56 + -51. Suppose 0 = -q*x + 836 - 56. Suppose 3*j - i = x, -j + 52 = -2*i - 0*i. Is 21 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 65*a**2. Let g(y) = 509*y**2. What is g(c(h))?\nAnswer: 2150525*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let 6705*w**3\/4 + 81457*w**2\/2 + 3052*w = 0. What is w?\nAnswer: -218\/9, -56\/745, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x + 5*x - 4*o + 8 = 0, 5*x = -2*o - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from www.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a**2\/6 + 17*a\/3 + 12 = 0. What is a?\nAnswer: -2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**2 + 78*d - 6 - 42*d - 42*d. What is k(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + j - 275 = -k, 3*k + 3*j = 204. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.11 times -0.007?\nAnswer: 0.00077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 7*p + 254. Let z be (-2262)\/65 + (-18)\/15. Let j be t(z). Solve 2*v + j = v, 5*v = 3*b - 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 24 + 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -6239368*y - 43675583. Give k(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1199 - -1993. Let z = -801.555 + i. Let u = 0.055 + z. What is u rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8758441?\nAnswer: 61, 67, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes before 11:28 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -58*d - 11. Is n(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*p**2 + 0*p**2 - 2*p**2)*(6 - 4 - 5) + 2*p**2 + 2 - 2 - 4*p**2 - 2*p**2 + 5*p**2 - 2 + 2 + p**2 + (-3*p + 4*p - 3*p)*(0*p + p + 3*p).\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 - 1. Let g = -599\/3 + 200. Which is the nearest to g?  (a) -0.5  (b) 0.5  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/9 + (-1759)\/(-180). Let c = -48\/5 + n. Find the common denominator of c and 65\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -5578*n + 1. Let h be d(2). Let g = h + -2307. Let r = g + 9162. Round r to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 4*v - 3. Let b(a) = -3*a + 4. Let n(z) = -3*b(z) - 4*s(z). Let m(p) = 2*p**2. Calculate m(n(c)).\nAnswer: 98*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 * -0.616368\nAnswer: 0.1849104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 17894799731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 2 f when three letters picked without replacement from {m: 1, j: 3, l: 1, g: 2, h: 1, f: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -22 <= -114\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/1 + 6 + -1 + -1. Solve 0 = -2*y - b*y - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1095955 is divided by 558.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1400*l**2 - 277*l**2 - 26*l**2 + 407*l**2.\nAnswer: 1504*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3384 and 3807?\nAnswer: 30456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 30 - 5. Calculate the remainder when g is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the first derivative of j**4\/4 - 4*j**3\/3 - 2*j**2 - 2. Calculate the smallest common multiple of u(5) and (1\/4)\/(3\/108).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(540)\/(-2*sqrt(12)) - (sqrt(720) - (sqrt(720) + sqrt(720)*4 + -4)).\nAnswer: -4 + 93*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*x + 131 = 87. Which is the nearest to -1?  (a) x  (b) 0.5  (c) -0.11  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*s - 11*s - 17*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6292 + -3711. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00353036952 to five decimal places.\nAnswer: -0.00353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -239 divided by -1?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -o + 11 - 25, -2*h = o - 11. Let u(d) = -3 - 5*d - 1 - 2. Calculate the remainder when u(-4) is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d + 2*f + 26, -5*d = -3*f - 50 + 16. Suppose -4*m - 17 = 3*u, 4*u - m = 5*u + 4. Solve 5*t = -d*h, 0 = -h + 5 - u for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 greater than or equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-15) + -4*((-441)\/(-90) - 3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 3*x**3 - 137*x**2 + 98*x - 260. Calculate the least common multiple of 60 and d(45).\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 42.092 + -0.092. Let k = -25 + n. Let i = k - 17.00018. What is i rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(((sqrt(11) - (sqrt(396) + -5)) + sqrt(11) - sqrt(11)) + 0 + sqrt(704)).\nAnswer: 25 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 64, -2\/2055, -1295?\nAnswer: -2\/2055","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 3644*h - 1346. What is the thousands digit of k(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*d + d**2 + 4*d + (6*d**2 + 3*d**2 - 4*d**2)*(2 + 2 - 2) + 3*d**2 - 4*d**2 - d**2 + d**2 + d - d.\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10048, 10058, 10092, 10162, 10280, 10458, 10708?\nAnswer: 11042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 28 = -4*k + 1, 4*k + 11 = 3*u. Let a(l) = 5*l**3 - l**2 + 2*l - 1. Let z be a(k). Solve o + z*b = 28, -2*o - 3*b + 0*b = -21 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -4*f + 9*f. Is f\/4*2 + 178 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 64*j**4 - 2*j**3 + 1158?\nAnswer: 256*j**3 - 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -50 + 56. Suppose 0*z - 127224 = l*z. What is the tens digit of z\/(-99) + 2\/(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (24 - (7 - -7)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/9 - ((-105)\/99 - 0) - (-146)\/(-146)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 68405?\nAnswer: 5, 13681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-92)\/(-42))\/(155\/434) and -26\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 7\/4 of a day?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-4)*a*a*a**(-2\/21)*a**2\/a**(-3\/5) assuming a is positive.\nAnswer: a**(53\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11270 - 11265. What is the fourth smallest value in 0.2, 3\/4, i, -229, 0.5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 220968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 42189210 and 360?\nAnswer: 168756840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*a + 15*a - 41*a = 61. Put -2, a, -1 in decreasing order.\nAnswer: a, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/7 - 5\/(-7). Solve -2*z + 4*z - q + 3*z**2 - 4*z**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**(-3))\/l)\/l*l*l**(1\/2)*l*(l*l**(1\/4))**(-13) assuming l is positive.\nAnswer: l**(-71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1237019753 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 3449?\nAnswer: 1\/3449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -4 + 5 - (-3 - -1). Suppose 3*i - 3*s = 525, i + b*s - 108 = 55. Let w be i\/20 + (-4)\/(-10). What is the highest common factor of 9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 4, o: 7}. What is prob of picking 1 w and 3 o?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 216 = 5*u - 1031, 0 = -3*u + 3. Let q = x + 331. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33 + 3958*p + 3928*p - 7886*p + 4*p**2 + 33.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -2.6, -0.44, 0.4?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -9 + (-7119)\/63*((-1)\/6 - (-3)\/54)\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -351225 - -1042?\nAnswer: -350163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001131 rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12 and 4636.\nAnswer: 13908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:31 PM and 9:34 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, 2, -425, -944.\nAnswer: -944, -425, -13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*k - 61*k + 150*k)*(4*k**4 - 18*k**4 + 32*k**4).\nAnswer: 1548*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(0 + (4 + 3 + sqrt(320) + 1 + 4)*1).\nAnswer: -32*sqrt(5) - 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**3 + 12*x**2 - 14*x - 14. Let f be k(-13). Let a be (0 - -2)*(-74)\/4. Let v = a + 35. Put f, v, 4 in ascending order.\nAnswer: v, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -132, -290, -458, -642, -848, -1082, -1350, -1658?\n\"Answer: -b**3 + b**2 - 154*b + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 3 p when four letters picked without replacement from {p: 12, t: 6}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 25 + 6*g - 7 - 4*g + 20. Let s be j(0). Suppose 3*k - 92 = -s. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i = -2*d - 2, -3*d - 3*i + 38 - 11 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75 = o - 4*o. What is the greatest common factor of 25 and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 93.22488 centimeters in nanometers?\nAnswer: 932248800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 311152 to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m**2 - 7*m - 4. Let t be g(-6). Suppose -t*w = 2*z - 6*w - 58, 5*w = 3*z - 84. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 103\/135280 and -133\/130?\nAnswer: 1758640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-19)\/(z*z**19))**(2\/7) assuming z is positive.\nAnswer: z**(-78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 132104506.5 to the nearest 100000.\nAnswer: 132100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**3 + 6*h**2 + h - 2. Let d be j(6). What is the third derivative of -d*s**2 - 173*s**4 + 118*s**4 + 22*s**2 wrt s?\nAnswer: -1320*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-14)\/28)\/(3\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4\/6)\/(65\/15). Let v = 12.8 + -13. Let d = 11.5 - 11. Which is the second smallest value?  (a) d  (b) v  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 31220003 (base 4) to base 12.\nAnswer: 2836b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -473 - -480.2. What is the second smallest value in 2\/7, w, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.05*-68718000.\nAnswer: -3435900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 626572461 to the nearest integer?\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -146043, -146052, -146073, -146112, -146175, -146268?\n\"Answer: -r**3 - 2*r - 146040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 6*s**2 - 11*s - 11. Suppose -4 + 12 = 4*c + f, 4*c = 3*f + 8. Let q(z) = -z**2 + 2*z + 2. What is c*p(l) + 11*q(l)?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 14.335391 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + -1 + (sqrt(1100) - ((sqrt(1100) - 1*sqrt(1100)) + sqrt(1100))) + -3 - (((sqrt(132)*1*3)\/(2*sqrt(1200) - sqrt(1200)))**2 + -5).\nAnswer: 401\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 15\/4?  (a) -0.4  (b) 1.4  (c) 15.2  (d) 82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 140550 and 2550.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -7*j. Let y be 4\/((-36)\/(-15)) + -1. Let h(f) be the first derivative of 0*f + 0*f**2 + 4 - y*f**3. Determine q(h(r)).\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes before 3:27 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 64962 is divided by 48.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 628 (base 10) to base 5.\nAnswer: 10003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*k + 4*x = 2247 - 2235, 5*k - 5*x = 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 - 1)*(-3*l + 4*l + 0*l) + l + 3 - 3 - 3*l + 6*l + 0*l + (1 - 4 + 5)*(0 + 0 + 2*l) + 2*l - 3 + 3.\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w**2 - 2*w + 1. Let v be b(1). Suppose -g + 13 = -v*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 176c (base 13) to base 7\nAnswer: 13055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -20.804195429 - -48.004194346. Let c = a - 27.2. What is c rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 9*o + 184. Let g be p(-17). Let u(l) = -l + 28. Let j be u(g). Put -5, -6, j in decreasing order.\nAnswer: j, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-270)\/(-180))\/((-6)\/40)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 - -2 - (-4 + -4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**2 + 10*b - 9. Let q = -16 + 25. Let n be i(q). Is (31 - -2) + n\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -25 - -27. Let r = 16 + j. Find the third derivative of -44*c**3 + r*c**3 - 4*c**2 + 22*c**3 wrt c.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2e + 835ab?\nAnswer: 8357d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -68  (b) -662  (c) 4  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -7557 (base 8) to base 7\nAnswer: -14343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -100 = -12*g + 32. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3292859586 to the nearest integer?\nAnswer: 1488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -531*h + 7. What are the prime factors of v(-1)?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -2*t**2 + 3*t + 406841. Let r be k(0). Let f = 93159 + r. Round f to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -5*s**2 + 6*s + s**2 + 2*s**2 - 18 + 2*s**3 + 8. What is the tens digit of a(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes after 6:00 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 9*m**2 - 2*m + 4. Let w(q) = -q + 1. Let s be w(-3). Suppose 5*h = s*j + h, -2*j - 6 = -4*h. Is i(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1283121 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 26144136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 195, 308, 501, 774, 1127?\n\"Answer: 40*p**2 - 7*p + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -13 times -53\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.218653 to one dp.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -23.3 - -23. Let r = 4 + -3. Which is the nearest to 4?  (a) 1\/2  (b) r  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m - 2*m = p + 249, 2*p - 10 = 0. Let q = m + 220. List the prime factors of q.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -2*f**2 - 3819602*f = 0.\nAnswer: -1909801, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(68) - sqrt(68))\/sqrt(4) + (sqrt(272) + -5)**2.\nAnswer: -39*sqrt(17) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -2*f**2. Let l(h) = -21244174*h. Calculate k(l(c)).\nAnswer: -902629857884552*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 3*c**3 + 43*c**2 - 45*c + 11. Let a(s) = -s**3 - 21*s**2 + 23*s - 6. Let i(t) = 5*a(t) + 2*b(t). Is i(21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 494811 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6.1 + -6. What is the third smallest value in -0.3, k, -6, 1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 14.348 + -0.248. Let n = 13.8 - i. What is the nearest to 0.3 in n, -3\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g = 5*z - 14, -2*g - 4*z = 3*g - 28 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-304)\/2109*30\/4. Let j = -5107\/444 + m. What is the common denominator of -121\/6 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c, 1 t, and 1 o when four letters picked without replacement from {c: 4, t: 4, o: 6}.\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the second derivative of 7*o**4\/3 - o**3\/2 - o - 2165. Let h(l) = -4*l**2. What is c(h(x))?\nAnswer: 448*x**4 + 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -144*w + 23181 - 268 = -35695. Let l = -2795 - -1865. Let r = w - l. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 6*n**2 + 3*n + 3. Let b(h) = 5*h**2 + 2*h + 3. Calculate 4*b(u) - 3*l(u).\nAnswer: 2*u**2 - u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -9*l**3 - 1212*l**2 + 2871*l - 822 = 0?\nAnswer: -137, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bibibbhbh. What is prob of picking 1 h and 1 i?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -67753 (base 8) in base 6?\nAnswer: -340351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 - 6 - 3 + 1069350*n**3.\nAnswer: 1069350*n**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3563 by -5.\nAnswer: -3563\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 29, 48, 81, 128, 189, 264?\n\"Answer: 7*b**2 - 2*b + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((-2*sqrt(1539))**2 - sqrt(19)) - ((1 + sqrt(19))**2*-3 - (sqrt(114) + sqrt(114)*2)\/sqrt(6)).\nAnswer: 8*sqrt(19) + 6216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*d + 13*d + 7 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 790 + 311?\nAnswer: aa1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -892 - 407 = 4*h + q, -2*h = -4*q + 654. Let w = -66 - h. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 285a (base 14) in base 6?\nAnswer: 53012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 2  (b) 0.1  (c) -11  (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27405 + 87550 = 2615*r for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -157\/260 + 21\/52. What is the nearest to -2 in -6, 3\/8, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.07853 to three dps.\nAnswer: 0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**3\/13 + 34*f**2\/13 + 28*f\/13 - 784\/13.\nAnswer: 2*(f - 4)*(f + 7)*(f + 14)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 3, f: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4 + 1232?\nAnswer: 1236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.286 + -168.286. Let f = -2467 - -2472. Put -2, f, t in decreasing order.\nAnswer: f, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1082 + 1081 + 2*q - q - 3*q**2 - 2*q + 4*q**3 to the form j*q**3 + y*q**2 + r*q + v and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 73 - 69. Solve 3*l + 7 = -2*y + p*l, 0 = y - 2*l - 1 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.024863734 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-392)\/(-736) - (-1)\/4. Let t = d + 309\/46. What is o in -t*o**2 + 35\/2*o**4 + 9*o**3 + o + 0 = 0?\nAnswer: -1, 0, 1\/5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 603064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m + 8 - 31 = -10*j + 66 + 75, 3*j - 59 = -4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-6)\/p**(9\/5))\/(p**2\/p*p\/p**4*p) assuming p is positive.\nAnswer: p**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 50 and 323150?\nAnswer: 323150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4867 + 6481. What are the prime factors of s?\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is d in -2*d**5 - 134660*d**4 - 2266395114*d**3 + 9067196440*d**2 - 9067735112*d = 0?\nAnswer: -33667, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3432*l = -3666*l + 6776*l - 33488 for l.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-2\/5))**3)**(-11)\/((k**(-5)*k**0)\/((k\/(k*k*k**(-1\/4)))\/k*k*k**(-5))) assuming k is positive.\nAnswer: k**(249\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11.8 - 11. Let o = -0.5 + p. Which is the smallest value?  (a) 2  (b) o  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -144, 0.5, -21, 0.2, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 2.2 and 217?\nAnswer: 214.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -196 or -12383?\nAnswer: -12383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53572850?\nAnswer: 2, 5, 1071457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17*r**2 - 35*r**2 + 18*r**2 - 5*r + r**3 to k*r + s*r**2 + m*r**3 + c and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 53065 to the power of 1\/2, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2149*l*m**3 - 14*l*m**2*q**3 + 3*l*m*q**2 + 2*m**3*q**3 - 15*m*q**3 wrt m?\nAnswer: 12894*l + 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 308856 is divided by 102948?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f + 21 = 3*m, -12097*m = f - 12096*m - 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/s**(-1\/4))\/s)\/s*s*s**5*(s*((s\/(s*s*s**(-4)))\/s)\/s)\/s**5*((s*s**2*s)\/s*s\/(s\/(s**6*s))*s)**11 assuming s is positive.\nAnswer: s**(493\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1, 4, 0, 5.\nAnswer: -5, -1, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17469, -17468, -17467?\nAnswer: -17466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = -2*a - 258002, -3*j + 128995 = -a - 8*j. What is a rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 48 = -21. Let s = n + -8. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**0*t**0*(t**1)**(-40))\/((t\/(t**(-1)*t))**(-34))**(-1\/19) assuming t is positive.\nAnswer: t**(-794\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 4*y + 12 = y, 2*g = 4*y + 16. Suppose g = -5*t + 106 - 26. Calculate the greatest common factor of t and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5 - -53?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4742 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -211*p - 9 - 413 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2 - 5)*(-2*c - 102 + 102)*(5 - 1 - 3) + 6*c - 3*c - 5*c + 1 + 2*c - 1 + (1 + 0 - 2)*(0 - 2*c + 0).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d**3 - d - 1. Let c(f) = 31*f**2 - 7*f - 4. Let q be c(-1). Let h(s) = 17*s**3 + 34*s + 34. Determine q*y(k) + h(k).\nAnswer: -17*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-2\/19))**(-21) assuming l is positive.\nAnswer: l**(42\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 5\/((-15)\/(-81)) + -1. Let m be (-1)\/x*(1 + 29). Let k = 79\/91 + m. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -104755.07 times 0.37\nAnswer: -38759.3759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -14*c. Let y(b) = 5*b. Give u(y(h)).\nAnswer: -70*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0\/3)\/(-1 + 2)*1. Suppose x = 4*c + 4*o - 36, -6 - 18 = -c - 4*o. Solve -c*a = 5*g - 25, 3*g - 6 = 9 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3\/(-7) - (24\/(-36))\/(14\/(-8466)). Are -404 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*q + 33853 - 33773 = 0. Suppose 0 = -5*s + 3 + 2. Suppose -g + 1 = -s. Calculate the lowest common multiple of q and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/1462 and 8\/3655?\nAnswer: 7310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-178)\/68 - -7*12\/714.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1183 by 3.\nAnswer: 1183\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b**2 - 10*b - 7. Let u be z(11). Suppose -5 = -u*y + 243. Is y a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -251221.04 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 866529239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 428 minutes after 5:43 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.03 and 0.5376156.\nAnswer: 0.016128468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 17*32\/(-384)*12\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 24\/1079917?\nAnswer: 24\/1079917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p**2 + 16*p - 20. Let k(u) = 9*u - 4. Suppose 0*z = -5*z + 10. Let f be k(z). Let b be d(f). Solve -t = t - b for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -4*r**2 + 61200*r + 183636 = 0.\nAnswer: -3, 15303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 2*i**2 + 23*i + 119. What is y(-15)?\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 7\/4 of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3304069627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2996111 or 2996112?\nAnswer: 2996112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:11 AM and 1:51 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1\/20 of a hour?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1860\/(-125) + 13 + 4\/2. Let r = 1 - 1. Which is smaller: j or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 176343 and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -208 - -63. Let a = j + 89. Let t = a + 57. Calculate the smallest common multiple of t and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 32.1 + -32. Which is the nearest to 2?  (a) f  (b) 1\/5  (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (15\/6)\/5*0. Suppose -l = -y*l - x - 3, 0 = -4*l - 2*x + 24. Solve l*z = -0*z + 2*b + 7, z + 4*b = -3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in 0.19, 1\/4, -2, 1\/11, 7?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**3 - 4*h**2 + 5*h - 2. Let g be z(5). Suppose -v - g = 3*v. Let t = 484 - 483. Is v greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -2*j**2 - 11*j + 6. Let w(n) = -3*n**2 - 22*n + 11. Let i(k) = -3*w(k) + 5*z(k). What is the units digit of i(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11111 - -1011020?\nAnswer: 1022201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000356642967 to five decimal places.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1101 - -1101?\nAnswer: 11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2232578.7 months to years.\nAnswer: 186048.225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -2*a**4\/7 - 285954808*a**3\/7 - 10221268741334796*a**2\/7 + 20442538340534024*a\/7 - 10221269313244418\/7 = 0.\nAnswer: -71488703, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -7 + ((-3762)\/(-189) - 7) + (-2)\/(-21). Let c be (3 - 0) + -1*1. Solve -z*p = -3*p - 6, -c*q = p - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the third derivative of f**6\/160 + 3*f**5\/40 + 5*f**4\/32 + 9*f**2 + 1. Factor q(j).\nAnswer: 3*j*(j + 1)*(j + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = 0, -119 = 3*l - 5*i - 2705. Suppose 0 = -4*y + 3*o + l, 5*y + 2*o = -0*y + 1089. What are the prime factors of y?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -78831713*j**2 - 141228993 wrt j?\nAnswer: -157663426*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -6*q**2 - 64*q + 62. Calculate x(-7).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -4 times -0.5439\nAnswer: 2.1756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 3*p**2. Let z = 4 - 9. Let g = 12 + z. Let m(c) = -2*c - 7. Let l(a) = -a - 4. Let v(t) = g*l(t) - 4*m(t). What is f(v(q))?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 787389.16 rounded to the nearest one hundred?\nAnswer: 787400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2534, 20256, 68366, 162056, 316518, 546944, 868526?\nAnswer: 1296456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -32, -7, 30, 79?\n\"Answer: 6*d**2 + 7*d - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the first derivative of -g**2\/2 + 35*g + 11. Let k be s(21). Let v(h) = -2*h + 27. Let i be v(k). What is the nearest to 2\/3 in 3, 1\/5, i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -2*x. Let o(z) be the third derivative of z**5\/40 + 2*z**3\/3 + 4*z**2. Let j(r) be the first derivative of o(r). Calculate j(i(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -2044 (base 8) to base 6\nAnswer: -4524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 2*r**2. Let v(q) = 16*q - 1. Let s(j) = 324*j - 12. Let t(d) = 3*s(d) - 36*v(d). Determine g(t(x)).\nAnswer: 313632*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36328802?\nAnswer: 2, 1933, 9397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) -6.8  (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.43 + 4.43. Put -5, a, -1\/8 in descending order.\nAnswer: a, -1\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + b)*(1 + 6 - 3) - 19*b + 70*b + 62*b + (-3 + 5 + 1)*(2*b - 6*b + 5*b).\nAnswer: 120*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23526?\nAnswer: 2, 3, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -279811619*o**4 - 307989565*o**2?\nAnswer: -6715478856*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 211701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1215589579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -6.1506 and 50?\nAnswer: -307.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-158)\/(-6)*(-111 + 54). Is q less than or equal to -1500?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2050604999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 165381, 661177, 1487503, 2644359, 4131745, 5949661?\nAnswer: 8098107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -49878 smaller than -149632\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**2 + 5*j - 33. Let y be p(-9). Solve 0*z - 1\/2*z**4 - 1\/6*z**5 - 1\/6*z**2 - 1\/2*z**y + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange d + 2*d - 8*d to t*d + s and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the second derivative of f**6\/120 + f**5\/3 + 77*f**4\/24 - 121*f**3\/3 - 109*f**2\/2 - 12*f - 1. Let q(z) be the first derivative of l(z). Factor q(t).\nAnswer: (t - 2)*(t + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (12\/(-18))\/((4\/30)\/1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*p**2 + p**2 + p**2)*(-30 + 55 - 26 - 14*p).\nAnswer: 14*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -91 + 40. Let q = 44 - s. List the prime factors of q.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -179*q + 9989. Let u(h) = -h. Give m(u(p)).\nAnswer: 179*p + 9989","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**3 + 7*m**2 - m - 4. Let q be y(-7). Suppose -2*g - 5 = -q*g. Let n be (2 - (1 + -1))\/((-8)\/(-12)). Solve -n*a = -g - 7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:15 PM and 3:15 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the first derivative of 2*x**3 + 3*x - 6. Is k(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**3 + 6*q**2 + 2*q - 8. Let z be u(6). Suppose 0 = d, -4*h - 2*d + 2 = -3*h. Let m = 11 - 5. Solve 0 = -z*t + h*t - m for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**2. Suppose -f = -3*n + 15, 2*f - 5 = 2*n - 3*n. Let c be m(f). Solve -t - 12 = 3*t, c = -g - 3*t - 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4.139 + -0.139. Let v = 2.06 + -0.06. Which is smaller: q or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 775 a factor of 1195201125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -81*d = -95*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g = 4*g + 76. Let z = -9 - g. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3*21266.3345\nAnswer: 63799.0035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -4*p - 14807, 0 = 6*p - p - 10. List the prime factors of z.\nAnswer: 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in eighteen fifths of a millennium?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*g**2 + 31379*g - 62756*g + 31377*g.\nAnswer: 13*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 2*t - 4*t - 7 = 0, -10 = -3*l - 5*t. Suppose 3 = l*o - 2. Put 5, o, -4 in descending order.\nAnswer: 5, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -120212121 - 10?\nAnswer: -120212201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -15 - -8. Let n = 12 + p. Suppose 1 = -n*j + 6. Is j at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -291292*o**3 + 6757*o - 1 wrt o?\nAnswer: -1747752*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -139\/449280 and -133\/648960.\nAnswer: 5840640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*f + 0*f - 1538*f**2 + 0*f + 1535*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -38*w**2 + 2*w + 4*w - 22*w**2 - 4*w + w**3 in the form y + l*w**2 + r*w + v*w**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 221 is divided by 59?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -49*q**3\/3 + 3262*q**2\/3 - 1852*q\/3 + 88 = 0. Calculate q.\nAnswer: 2\/7, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 770696192?\nAnswer: 2, 7, 79, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that 5*j**3 + 241065*j**2 + 2905978275*j + 8715765375 = 0.\nAnswer: -24105, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -113.851315 rounded to 2 decimal places?\nAnswer: -113.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.04162 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4630 and 240?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-six fifths of a gram in milligrams?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 22\/4 - (-371790)\/(-56700)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10100 + 21300?\nAnswer: 32000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -37244\/211 - -10302921\/9073. Suppose 3*x = 4*x - 959. Let h = x - u. Which is the closest to h?  (a) -0.1  (b) 2  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a millennium in months?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-3\/8)\/s**28)\/(((s\/(s\/s**(25\/3)))\/s)\/(s*s**(-2\/71)*s*s)) assuming s is positive.\nAnswer: s**(-55783\/1704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/(-12) - -5) + 3\/(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1560 divided by 390?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1454, -1450, -1436, -1406, -1354?\n\"Answer: z**3 - z**2 - 1454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 - 36b?\nAnswer: -367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*j**5 - 8*j**5 + 2*j**5 + (j**4 - 2*j**4 + 3*j**4)*(-j + 0 + 0) + 0*j**5 - 3*j**5 + j**5.\nAnswer: -15*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1001001211102 + 101000?\nAnswer: 1001002012102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 614*v**2 + 71*v - 2 wrt v.\nAnswer: 1228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -113654, -113614, -113568, -113516, -113458, -113394?\n\"Answer: 3*s**2 + 31*s - 113688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 70464439.04 to the nearest 1000000.\nAnswer: 70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -34*m**3*q + 646167*m**3 + 25265*m*q*s**3 + 5*m*q + 31*s**3 wrt q?\nAnswer: -34*m**3 + 25265*m*s**3 + 5*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that 147*l**2 + 217153416*l + 26590212 = 0.\nAnswer: -1477234, -6\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -134032 (base 6) in base 15?\nAnswer: -3ab8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2552\/(-3190)*(-185)\/2.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*j - 4*y + 21 + 5, 0 = 5*j + 5*y - 3 - 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -62*b**3 + 4229*b - 4229*b + (7 - 7 + 16*b)*(-4*b**2 - b**2 + b**2) as n + z*b**2 + f*b**3 + y*b and give f.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3572, -7142, -10710, -14276?\nAnswer: -17840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.16 + 0.8. Let l = -0.04 - q. Suppose t + 2*o + 5 = 0, -4*t = -2*o - 2*o - 28. What is the nearest to 0.1 in l, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 637 - 623. Solve -j + 24 = 4*t, 11 = -j - 11*t + b*t for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/15?  (a) -4  (b) 2\/3  (c) 1.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the third derivative of -m**6\/24 + 10*m**5\/3 + 1645*m**4\/24 + 4*m**2 + 3*m - 79. Solve p(h) = 0.\nAnswer: -7, 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11 and 20317?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 16910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 120 = -6*u + 1482. What are the prime factors of u?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 160718641.\nAnswer: 23, 6987767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -6*k**3 + 10*k**2 - 355*k + 32. Let x(o) = -o**3 + 2*o**2 - 71*o + 6. What is -4*r(j) + 21*x(j)?\nAnswer: 3*j**3 + 2*j**2 - 71*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (30\/(-280))\/(2574\/(-572)).\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4425 + 342?\nAnswer: -4053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 67 - 63. Suppose p*g + a = 3, 3*g - 29 = g + 5*a. Sort 11, g, -1.\nAnswer: -1, g, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - ((8 - 0) + -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 115138253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15816 - 20*x + 15833 + 2*x - x + 0*x + 0*x + 2*x + 2*x - 6*x - 2*x - 2*x + 2*x + 3*x - 5*x + x + (0*x + 2*x - 4*x)*(5 - 5 + 1) to r*x + c and give r.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1143333214 (base 5) to base 8\nAnswer: 12266271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - -28 - (767 + -733).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -447297, -894579, -1341855, -1789125, -2236389, -2683647?\n\"Answer: 3*l**2 - 447291*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 8.965574 millilitres?\nAnswer: 0.008965574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 61769.23 millilitres to litres.\nAnswer: 61.76923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 71512433 divided by 3?\nAnswer: 71512433\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-24)\/(-36) - 10\/(-3). What are the prime factors of (10\/s)\/((0 - -3)\/78)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*m + 4*y - 8517 = -8*m, 2*m + 2*y - 17010 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 f and 1 q when four letters picked without replacement from {q: 2, f: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12656 (base 8) to base 13.\nAnswer: 26ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-277884)\/17181 + (-2)\/(3\/96*-4).\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -68938 + 206816\/3. Let m = -1.1 - -0.94. Sort 0, w, m in decreasing order.\nAnswer: w, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23817501 is divided by 119.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 108 and 2?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -17963 + -1?\nAnswer: -17964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 at least 10721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -31515, -126070, -283663, -504294, -787963, -1134670, -1544415?\n\"Answer: -31519*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -3*z. Let i(s) be the first derivative of 19*s**4\/6 - s**3\/6 - s**2\/2 - s + 237. Let m(l) be the second derivative of i(l). Calculate n(m(b)).\nAnswer: -228*b + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -2*m**2 + 3*m**2 + 127 - 127. Let r(c) = 9*c**2. Let x(l) = -5*l**2 + 56 - 3*l**2 - 56. Let o(y) = -4*r(y) - 5*x(y). Determine o(j(t)).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00555157 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (342\/2280)\/(120\/2560)?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 17*a**6*n - 6569135*a**6 - 47*a**2*n + 2583*a*n + 36*n wrt a?\nAnswer: 2040*a**3*n - 788296200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -29824275, -59648549, -89472823, -119297097, -149121371, -178945645?\nAnswer: -208769919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d**2 + 13*d - 5. Let g be c(-13). Let t = 3 - 2. What is the smallest value in t, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x**3 + 12940*x**2 + 2089248*x + 86563008 = 0. What is x?\nAnswer: -3067, -84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m + 2*y - 40 = 6*y, -2*y = 2*m + 24 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -4*t**3 - 3*t**2 + 4*t - 2. Let s(u) = 5*u**3 + 4*u**2 - 5*u + 2. What is -3*s(v) - 4*w(v)?\nAnswer: v**3 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1132097412.\nAnswer: 2, 3, 41, 2301011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -32, -120, -258, -440, -660, -912?\n\"Answer: g**3 - 31*g**2 - 2*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 125 - 125 + 1401*t**2 - 1442*t**2.\nAnswer: -41*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -84 + 56. Suppose -2*f + 228 = 4*p, 8 = f + 2. Let i = r + p. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3011045 (base 6) in base 11?\nAnswer: 97355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**2 - 4*v - 2. Let b(k) = -k**3 - 4*k**2 - k + 2. Suppose 15 = -5*a - 5. Let m be b(a). Calculate p(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**20*y**(-23)\/y)**(-20) assuming y is positive.\nAnswer: y**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of j**3 - 17*j**2 - 18*j + 4235?\nAnswer: 3*j**2 - 34*j - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t + 4. Suppose -3*r - 108 = -5*q + r, 4*q + t*r - 108 = 0. What is the least common multiple of q and 2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1.8, 3, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -4*(-2)\/(4\/30). Let m be 2\/10*-2 - (-1464)\/o. Calculate the highest common factor of 96 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -3\/5, 13, -30, 0 in decreasing order.\nAnswer: 13, 0, -3\/5, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 476?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -41*t**2 + 1695*t - 2193. What is a(40)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 96\/70*10*(-31 + (-4606)\/(-147))?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-16)\/(-40) + (-21)\/40. Are 0 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1\/563, 49, 18 in ascending order.\nAnswer: 1\/563, 3, 18, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 15 = 0, -3 = -2*y - 2*o + 3*o. Suppose y = -0*i - 2*i + 24. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2*9816673\nAnswer: 19633346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 223 - 220. Let o = -0.178 + 0.678. Which is the third biggest value?  (a) z  (b) o  (c) 0.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((10 - 2704\/272) + 60\/425)*(-150)\/4.\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:17 AM and 8:40 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2206244 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -80.49 - -48.382. Let a = c - -0.108. Which is bigger: a or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -30*s + 221 + 88 + 21 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -63495 divided by -4.\nAnswer: 63495\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 120 = 15*j. Suppose 2*x + 3 - j = -5*w, -5*w = -5. Solve -3 + x = -2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 19 - 30?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -23131195, -23131192, -23131189?\nAnswer: -23131186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -1 + (-381)\/(-9) - (-18)\/27 is divided by 2\/(-3)*((-86)\/4 + 5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*t + 7*t - 9*t)*(-3*t + t + t)*(-t + 3*t - 4*t).\nAnswer: -18*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 31 - 4. Let n = -15 + y. Solve 0 = 4*r - n, 5*g + r = 2*r - 13 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -108 - -113. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, 2\/65, 3, -3.\nAnswer: -3, 2\/65, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that 2*h**5\/7 - 1340*h**4\/7 - 192534*h**3\/7 - 565496*h**2\/7 + 5384*h\/7 + 107712 = 0.\nAnswer: -119, -2, 1, 792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v - 2*r - 35*r = 6*r - 7, 50*v - 4*r = -10*v + 420 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add together -5 and -398.\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 54\/17 - 52\/17*m - 2\/17*m**2.\nAnswer: -2*(m - 1)*(m + 27)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -18416*b**3 - 2*b**2 + 2*b + 9079 wrt b?\nAnswer: -55248*b**2 - 4*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*j**2 + 1244*j + 11520.\nAnswer: -4*(j - 320)*(j + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-280)\/(-21)*(-6)\/(-4). Suppose -c + a = 3*c. Suppose 8*j = 4*j + 4*s + 60, c*j = s + 91. Does 19 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14900 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 greater than or equal to 4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*a**5*l + 407*a**4*l**2 + 7*a*l**2 + 178*l**2 wrt a.\nAnswer: -40*a**3*l + 4884*a**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3510698 and 4432?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2713, 2298, 1883, 1468?\nAnswer: 1053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 172209113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 28 = 3*i + 12, 4*y + 3*i = 20. Suppose 147 = -y*o + 189. Is o < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 0, 117, 326, 639, 1068?\n\"Answer: 2*u**3 + 34*u**2 + u - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 0.384173 centuries?\nAnswer: 0.0384173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 - -1.3. Let p = 35 + -54. Let z = p + 13. Which is the second biggest value?  (a) -5  (b) z  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5165684 + -8754435. Let b be w\/140 + (-2)\/(-7). Let h = -25639 - b. Calculate the common denominator of h and 145\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 6*i**2 + 4*i - 6. Let m be f(-5). Suppose 5*s - 3*d - m = 0, s - 3*s = -3*d - 46. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/9  (b) -5  (c) 0.39118369  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 129227.034 - 5580.809. Let d = -123585.224969 + f. Let n = 61 - d. What is n rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4398 * -3.\nAnswer: -13194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/(-30))\/(81\/(-108))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y + 1. Let o be u(-5). Let c(s) = 5*s - 4. List the prime factors of c(o).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -77 + 77.1. Sort -4, 6, -3\/2, w.\nAnswer: -4, -3\/2, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the third derivative of 1\/120*a**6 + 3*a**2 - 1\/10*a**5 + 7\/6*a**3 - 28 + 1\/8*a**4 + 0*a. Let y be 1\/(-2)*(-9 - 1). Give c(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.153 * 489.\nAnswer: -74.817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*s - 8 = -22. Suppose z + 2*w + w = -s, 44 = 4*z - w. Suppose -11*k + z*k + 6 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3*s + 1)*(0*s + 3*s - 2*s) + (0*s + 0*s - 8*s)*(2*s + 3*s - 3*s).\nAnswer: -19*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -2*d**2 - 2359*d - 93367. Give y(-41).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p**2 - 6*p + 3. Let n(q) = 150*q - 2098. Let i be n(14). Calculate l(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -390 + 5848\/15. Suppose 2*w = -t + 5, 3*w - 3*t = -2*t. Let z = 0 - w. Which is greater: z or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -112502*l**2 + 337493*l**2 - 112475*l**2 - 112509*l**2.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:40 PM and 9:23 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 80942.4027 - 80947. Let f = 4.6 + i. Round f to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55802819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 2*(sqrt(810) + (sqrt(810) - sqrt(810)*2))\/((-5*sqrt(45))\/sqrt(9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1335 + -2?\nAnswer: -1337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 1795.9 to the nearest 10.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 smaller than -1\/2441241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 485 divide 44220360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*t**2 + 26*t - 26*t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 997953.\nAnswer: 3, 11, 30241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -2*z**2 + 10*z - 8. Let c be t(4). Suppose 1259742 = -4*k + h - 1220260, c = 4*k + 2*h + 2479996. What is k rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1461980382 a multiple of 1336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*c - 47*c - 3*c**3 + 2*c**2 + c**5 - c**4 - 1 + c**3 = 0 for c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7374534 is divided by 1312?\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 263823084 to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/72*(-228648)\/1361?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g**3 - 116*g**2 - 465*g - 2472. Calculate i(120).\nAnswer: -672","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nc when two letters picked without replacement from fnssnncsssnx?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -5  (b) -450\/13  (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -133 = -3*b - 4*t + 18, 0 = 3*b - 3*t - 144. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10401*c**2*k**3 + 4*c**2*k - 42*c**2 - 39*c*k**2 - 3*k**3 + 2*k**2 wrt k?\nAnswer: -62406*c**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 60 and 25.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -1181754\nAnswer: -1\/590877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that -6765*g**5 - 35676*g**4 - 61533*g**3 - 44178*g**2 - 12636*g - 1080 = 0.\nAnswer: -30\/11, -1, -2\/5, -6\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -4  (b) 4\/7  (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 135193049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 127*n**4 - 8*n**3 + 5919*n**2?\nAnswer: 3048*n - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*g - 5*x - 40, 2*g - 107 = x - 91 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -49951200 rounded to the nearest 1000000?\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 20*x - x**4 - x**2 + 2*x**4 - 14*x - 2 to the form c + z*x**4 + t*x**3 + k*x**2 + h*x and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 180521.7 kilograms in nanograms?\nAnswer: 180521700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -35\/473 and -71\/49665.\nAnswer: 49665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0006108054 to 6 decimal places.\nAnswer: 0.000611","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 271815 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 95 - (105 + -25 + -24).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 349 - 343. Solve -4*j + 2 = -i*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -34*g - 8. Give o(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2\/28709 + 28699\/143545. Which is the fourth biggest value?  (a) 3  (b) -7  (c) i  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*p - 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 3893 (base 13) to base 2\nAnswer: 1111101111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 128*l - 128*l + 6*l**2.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 175, 237, 333, 457, 603?\n\"Answer: -p**3 + 23*p**2 + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-220)\/(-154)*(3 - -4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/3*1\/(-4)*-4\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a minute in milliseconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the second derivative of -v**4\/54 - 554*v**3\/27 - 76729*v**2\/9 - 2*v - 19. Factor o(m).\nAnswer: -2*(m + 277)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate -74*98\/(-5439)*(-126)\/4.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1 - 0)\/(-2)*0. Suppose 4*i + 5*k - 696 = 0, -522 = -3*i + 2*k - m*k. Suppose -i - 196 = -5*v. Is 17 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -10185, 4.\nAnswer: -10185, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5313942632?\nAnswer: 2, 23, 28880123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100011011100 (base 2) to base 10.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in 0.3, 0, -14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*f = -21 + 57 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + i - 6 = -o, 0 = 5*i + 3*o + 16. Suppose 0 = -2*l + 87 - 13. Calculate the remainder when l is divided by (26\/(-4))\/(1\/i).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 184343214407\/6900 - 267164153\/10. Let p = y - 1\/575. What is the common denominator of p and 55\/68?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the second derivative of -v**5\/20 + 3*v**4\/4 + 3*v**3\/2 + 11*v**2\/2 + 3*v. Let i be y(10). Let w be (5\/2)\/(i\/2). Solve w*q = -8 - 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {t: 2, u: 3, d: 2, v: 1, n: 4}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**3 + j - 6*j**3 + j**3 - j**3. Let n be v(-1). Solve n*l + 8 = -12 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1807 + 2746262437.\nAnswer: 2746260630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y**2 - 13*y + 3. Let s(o) = 2*o**2 + 14*o + 6. What is -3*l(x) - 2*s(x)?\nAnswer: -x**2 + 11*x - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ppm when three letters picked without replacement from {t: 2, p: 8, n: 2, m: 6}.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -185*y - 179*y + 229 + 362*y.\nAnswer: -2*y + 229","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vm when two letters picked without replacement from {q: 4, x: 1, m: 5, v: 10}?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -1.134 times -9394\nAnswer: 10652.796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -287 + 95 = -64*q. Solve -2*z + 8 = -6*z, q*z = j - 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/22*12*((-14)\/(-147))\/(20\/(-15))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 89 (base 15) to base 6\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w + 24. What is the remainder when u(10) is divided by (6\/(-4))\/((-6)\/32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -138 in 1, -4, 2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**2 + 39*j - 76. What is b(36)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 330020 and 633940.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**10)**27\/((l**24*l)\/l**(6\/5)))**(-1\/8) assuming l is positive.\nAnswer: l**(-1231\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 1200*o - 1099 = -1205*o, -5*n - 4*o + 5495 = 0. Is n a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q = -u + 3, -233*q + 235*q = 4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-30)*(c**(1\/3)\/c)\/c assuming c is positive.\nAnswer: c**(-95\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (186\/(-279))\/(2\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -9\/5  (b) -172  (c) -3  (d) 10\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 361 + 6?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -3 - 0 - 24\/(-8). Suppose o = 6*n - 2*n - 56. Solve -2 = -z - 4*m + 15, -z = 3*m - n for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 3111, 8266, 15485, 24768, 36115, 49526?\n\"Answer: 1032*r**2 + 2059*r + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/5?  (a) 7  (b) 4  (c) 25  (d) 0.02  (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -214*d + 48*d - 2*d + 168*d + 3230*d**2 - 3227*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the first derivative of 14*k**5 + 55*k**2\/2 - 44. Find the second derivative of p(v) wrt v.\nAnswer: 840*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*n + 5 + 6*n + 6*n**2 - 1511*n**3 + 1522*n**3.\nAnswer: 11*n**3 + 6*n**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2788 (base 16) to base 10.\nAnswer: -10120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 280463?\nAnswer: 280463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.144*59116.\nAnswer: -8512.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (42\/9 - 3)\/(3\/9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 188 + -186. Suppose 0 = t*l + l + a - 1077, 4*a = 3*l - 1092. Is l a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-880 - 2165 - 2646)*(-3*p + 3*p**2 + 3*p) to m*p + c + g*p**2 and give g.\nAnswer: -17073","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -11 + l**3 - 17 + 0*l**3 + 31*l**2 - 2*l + 31*l. Let g be v(-30). Let s be (1\/(-2) - (-4095)\/14) + g. Round s to the nearest 10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -u**3\/3 - 650*u**2\/3 + 1304*u\/3 = 0. What is u?\nAnswer: -652, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3332 by 476.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1874386769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 123 = -4*z - 3*t, -4*z - 13*t - 128 = -9*t. What is the second biggest value in 10, z, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.298727 plus 0.3?\nAnswer: 0.598727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h\/h**(2\/15)*h**(-23)*h)\/((h**(-2\/35)*h)\/h**(6\/11)))**(-7\/2) assuming h is positive.\nAnswer: h**(23713\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 9360 divided by -936\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -516 - -1547\/3. Which is the nearest to 0.1?  (a) 9  (b) s  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -6 and -38.\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1806 - -1808. Solve 5*x - 11 - 11 = 3*f, 0 = t*f - x + 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -19019\/12 - -1587. Let g be (-2514)\/(-14) - 3*4\/(-28). What is the common denominator of t and (-425)\/g + (-3)\/(-4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/133 and 81\/338618?\nAnswer: 338618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 11142 and 824508.\nAnswer: 824508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -241*j - 147192 + 356139. What is the highest common divisor of j and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5\/39 - -172\/429. Let d = 113.1 - 113. Let k = -1\/5 - -11\/105. Which is the nearest to d?  (a) k  (b) -3  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**3\/p**(-3\/5)*(p*(p\/p**(-1))\/p)**(1\/5))**(7\/5) assuming p is positive.\nAnswer: p**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7.5 in 8\/7, -5, 7\/8, -0.8, -1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 284903032780.164 + 0.06\nAnswer: 284903032780.224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 6740 (base 13) to base 15\nAnswer: 4412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 3*j - 1 + (-3 + 3 + j + (1 + 1 - 4)*(j - 3*j + j) + 2*j + 0 + 1 + 0*j)*(1 - 3 - 4).\nAnswer: -33*j - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 120409 and 694.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -441539282 divided by 1?\nAnswer: -441539282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:40 AM and 8:20 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**3 - 31*v**2 + 101*v + 85. What is n(27)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 2*w + 10 = 0. Let y(d) = -d**2 - 13*d - 4. Let i be (-2)\/(((-16)\/14)\/(-4)). Calculate the remainder when y(i) is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*y - 20 = -8*y. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2748*x**2 - 11*x**3 + 135*x**3 + 2748*x**2.\nAnswer: 124*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 15017142, 15017132, 15017122?\n\"Answer: -10*c + 15017152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -512995 divided by -5.\nAnswer: 102599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3664 - 2316. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -482, 1, 5, -2 in decreasing order.\nAnswer: 5, 1, -2, -482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the second derivative of -1\/9*j**4 - 1\/9*j**3 + 1\/30*j**5 + 0 + 24*j + 1\/90*j**6 + 1\/2*j**2. Factor q(m).\nAnswer: (m - 1)**2*(m + 1)*(m + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**3 + 4*k**2 + 4*k + 3. Let w be i(-3). Let m be (0 - -1) + -2 - -2. Solve f + w = m for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7?  (a) 3\/2  (b) 1\/4  (c) -177\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**3 + 15*p**2 + 15*p + 21. Let k be x(16). Let d = k + -2. Suppose -128 = -d*s + 124. What is the highest common factor of 56 and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*k + 5*k - 2*k + (0*k - 4*k + 2*k)*(2 + 1 - 1) + 0*k + 0*k - k + (-k - k + 3*k)*(0 + 0 + 1).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -683\/4 + 2321\/12. Find the common denominator of ((-94)\/(-22))\/1 - 0 and y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -1*sqrt(49)\/sqrt(7).\nAnswer: -sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 214 = -3*m - 5*k, -2*m = 5*k - 147. Let f = m + -72. Is -3\/2 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 483 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e and 2 v when four letters picked without replacement from {v: 6, e: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 0, 6, 1 in increasing order.\nAnswer: 0, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**3 + 8*i**2 + 17*i + 18. Suppose -25 = -d + 54*p - 59*p, -59 = -5*d - 3*p. What is j(d)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, w: 1, x: 1}. What is prob of sequence zw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 15) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 1 e, and 1 l when three letters picked without replacement from pzepllppwp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2853, 5926, 8999, 12072?\nAnswer: 15145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 25 and 420775.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, 26, 1\/6, 5, -8\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 + 17 = 3*x. Let v(p) = 6 - 10 + x + 2*p. Calculate v(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -675 - -661. Let d(v) = 2*v + 23. Give d(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5263 - 4817. What is the remainder when k is divided by 302?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 109645 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w**2 + 18*w + 22. Let c be a(-17). Let x(k) = -4*k + 24. Let y be x(c). Solve 0 = 2*m, -m + 3*m = -b + y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(240)\/sqrt(12) + 4 - (-4 + 4*sqrt(10)\/sqrt(2))) + 5)**2.\nAnswer: -52*sqrt(5) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.7 + 2.8. Let n = q - 0.1. Is n bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5563668 divided by -8206?\nAnswer: -678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 360846839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -4*o**3 + 6*o**2 + 3*o - 4. Let p(n) = n**2 - 1. Determine -g(j) + 6*p(j).\nAnswer: 4*j**3 - 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2708*c**2*r**3*v**3 - 4*c**2*r**2*v**2 + 66*c**2*v**3 - 6*c**2*v**2 + 2*c**2 - 2583*c*r**3*v**2 wrt v?\nAnswer: 16248*c**2*r**3 + 396*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3 - (40\/36 + 2). Let l(d) = d**3. Let f be l(0). Let b = -0.3 + -0.2. What is the second smallest value in f, t, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -83922*x**5 - 186588*x wrt x.\nAnswer: -1678440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/11 in -1\/3, 3, 0, 564.29, 4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*x = -5*x - 17*x + 232281. List the prime factors of x.\nAnswer: 3, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**8\/o**(8\/3)*((o*o**(-2))\/o)**16)**(-18) assuming o is positive.\nAnswer: o**480","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*t - 9*t + 15 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -6 + 6 - 1 + 8*s**2 + (6*s - 3*s - 2*s)*(-3 - 2*s + 3) in the form y*s**2 + i*s + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b = 2*s - 10, 26*b - 24*b + 2*s + 14 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(500) - (3 + 1 + sqrt(500)) - (sqrt(500) - (sqrt(500) - sqrt(500)*-2))*3)*6*-2)**2 + -3.\nAnswer: -69120*sqrt(5) + 2594301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -31.43 - -0.1.\nAnswer: -31.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**2 + 7*l + 5. Let j be u(-6). Suppose 0 = -6*g - 19 - 11. Suppose -3*w = -w - 6. Sort j, g, w in increasing order.\nAnswer: g, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2029415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 82 - 80. Let i be 238\/51 + 2\/(-3). Sort -5, i, -10, p in decreasing order.\nAnswer: i, p, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5.7 in 2, 1\/4, -0.036?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 2*j**2 + j - 6. Let i be w(-3). Suppose -y + 29 = i. What is the greatest common factor of y and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -585 - 27924 = 61*v - 46*v - 746*v for v.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*z - 4*r = 7*z - 1614, 0 = -2*z - r - 1087. Which is greater: -543 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the second derivative of q + 1\/4*q**4 + 6*q**2 + 0 + 2*q**3. Factor w(a).\nAnswer: 3*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3151?\nAnswer: 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 16542515 to the power of 1\/2, to the nearest integer?\nAnswer: 4067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*k + 45 = -6*k. Suppose -46 = -5*s + 2*l, 2*s = 4*s - 2*l - 16. Let u = s - k. Solve 2*n = 3 + u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.15626 * 2\nAnswer: -0.31252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 34, 39, 48, 61?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**4 + l**2. Let k(t) = -14*t**4 + 4*t**2 - 73*t. Let s(d) = -k(d) + 3*o(d). What is the second derivative of s(c) wrt c?\nAnswer: 204*c**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 11*o**3 - 43*o**2 + 65*o + 91. Let y(t) = -31*t**3 + 128*t**2 - 193*t - 275. Let c(w) = -11*k(w) - 4*y(w). Factor c(g).\nAnswer: 3*(g - 11)*(g - 3)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 13 - 5969?\nAnswer: -5956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -134776841 or -134776845?\nAnswer: -134776845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-224)\/63 + 4)\/((-13)\/((-702)\/12)). Solve -3*f - d = 4*x, -3*x - 27 + 31 = 5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*m**2 + 0 - 11*m**2 + 2.\nAnswer: -14*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -182 + -b?\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 8, e: 1, z: 2, d: 4}. What is prob of picking 1 z, 2 d, and 1 e?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -10*v**2. Let i = 21 + -18. Let n(q) = 0*q - i*q + q. What is n(b(m))?\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - f - 10 = -0*f, -10 = -5*g + 3*f. Suppose -3*d = g*d. Let x be ((-3)\/(-2))\/(d - 21\/(-28)). Solve -2*s = -4*s - x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 66839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 15, -16, 2\/11, -25?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -677 = -3*f + 2*h - 239, 0 = -2*h + 12. Suppose 3*k - 21 = -3. What is the lowest common multiple of f and k?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 275039 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/((-4)\/152*2). Suppose 0 = -4*a - 15 + z. Find the common denominator of -117\/80 and (a\/(-4))\/((-35)\/(-1708)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 568026\/5 or 113606?\nAnswer: 113606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 + 17 = -5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 811825082 to the power of 1\/2, to the nearest integer?\nAnswer: 28493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the second derivative of c**4\/12 + 3*c**3\/2 + c. Let l be m(-9). Solve -8 = -3*z + 2*o + 2*o, l = -o - 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000364 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of 11163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, 5, -184, 3, -9.\nAnswer: -184, -9, -1\/4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -16*u**3 - 2*u**2 + 2*u. Calculate h(-2).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 3*t = -4*w - 34, 0 = -4*t - 12. Let v(s) be the second derivative of -s**4\/12 - 2*s**3\/3 - 2*s**2 - 2*s. What is v(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/8)\/(5\/(-40)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 496 a factor of 8797405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and -0.001.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -5*r. Suppose c = 14 - 12. Let g(h) = -h**c - 24*h + 24*h. Calculate g(m(j)).\nAnswer: -25*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k - 5*f = -10*f + 8 + 6, 0 = 50*f - 55*f + 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -5 bigger than 32518419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 97\/62 and 37\/2601582.\nAnswer: 2601582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 623207?\nAnswer: 13, 47939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -160*0.0023\nAnswer: -0.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:28 AM and 8:48 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 7 divided by -764\nAnswer: -7\/764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is d + -1d11?\nAnswer: -1d02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the third derivative of -3*j**2 + 3\/245*j**7 + 0 - 1\/210*j**6 + 0*j**4 - 3\/392*j**8 + 0*j**5 + 0*j + 0*j**3. What is i in g(i) = 0?\nAnswer: 0, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 471535 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 3\/10 of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:01 AM and 3:02 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 530460 is divided by 114?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 127908.\nAnswer: 2, 3, 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1315*q + 2630*q - 1321*q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 69*m + 14. Let y(g) = 140*g + 23. Let f(d) = -11*t(d) + 6*y(d). Suppose c - 1 = -o, -3*o + 7 = -0*c + c. List the prime factors of f(o).\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*a = 2713 - 949. Find the common denominator of a and 22\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2022, 2079, 2136?\nAnswer: 2193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2110302 (base 4) to base 8.\nAnswer: -22462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 322402?\nAnswer: 2, 161201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(68)\/sqrt(4))**2 + (sqrt(17) + -1)*-3 + 4 + sqrt(68) + 1 + sqrt(68).\nAnswer: sqrt(17) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*w + 10*w + 15*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - h + 50335 = -1800, 2*h = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p + 8*p - 2 - 5*p)*(0*p + 5*p - 3*p).\nAnswer: 2*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 61.4 - 61. Which is the closest to 2\/13?  (a) 3  (b) v  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 4, m: 2, v: 2, k: 1, j: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 10 - 0 - (32 - ((111 - 113) + 4 + -1))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 24d1 - -9cd?\nAnswer: 2eae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 22 or 38?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -156484.9 + 156692.89998. Let k = -208 + f. Round k to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the first derivative of -23*q**3 + 3*q**2 + 22. Factor m(t).\nAnswer: -3*t*(23*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1 - 586\/(-18) - -1. Let i = -4255\/21 - -1192\/7. Let o = x + i. Are 1 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**5*u**(-1)*u)\/(u\/(u*u\/((u\/(u**(-1)\/u))\/u*u)))**(-21\/4))**(-1\/32) assuming u is positive.\nAnswer: u**(-33\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1379\/27 or -50?\nAnswer: -1379\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 12 and 2837496?\nAnswer: 2837496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 91295489 is divided by 130?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*v = -3*b - 11*v - 2264, -2*b = -5*v + 1513. Let j be (1 - (-1423511)\/(-13)) + 116\/b. What is j rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -2*w**3 + w**2 - 1. Let j be m(-1). Suppose t + j = -t. List the prime factors of (4 + (t - 1))*4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 - ((-9 - -5) + -29)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11819781631\/6168 + 1916307. Calculate the common denominator of 103\/10 and y.\nAnswer: 30840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*x - 16534 + 16192. Calculate the remainder when 238 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 17*k**3 + 8571*k**2 + 1507*k - 2522. Calculate n(-504).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 - -7. Let o = t - 0. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/7?  (a) -1  (b) -4\/7  (c) -4  (d) 1\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 302 a factor of 1281688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f**3 - 5*f**2 + 5*f - 1. Let k be i(5). Let z be 15\/((-5)\/(-20) + 7\/(-4)). Let v = k + z. What is the lowest common multiple of v and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - 2*d)*(-2*d + 5*d - 4*d) - 5*d**2 + d**2 - 3*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 29 - -62. What is the greatest common divisor of t and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -27?  (a) -4  (b) -0.3  (c) 0  (d) 31785\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 5, 4, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -412 - -1233?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**3 + 72*q**2 - 381*q + 327. Let w be p(-77). Solve 17*b + 17 = 5*j + w*b, -4*b = -5*j + 11 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1259?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(180))\/sqrt(12))\/(sqrt(6)\/sqrt(2)*-2).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the second derivative of g**3\/6 - 9*g**2\/2 - g. What is v(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 0*z - 7 = -k, 0 = -k - 2*z + 16. Suppose 0 = -3*o + 371 + k. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n**2 + 18*n - 3. Let u(g) = -3*g. Let a(r) = -6*u(r) - w(r). Let o be 4\/(-14) - (-602)\/49. Suppose 6*j = 2*j - o. What is a(j)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 350719265 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 22*w**5 + 10*w**4 + w**3 - 4526*w - 3?\nAnswer: 440*w**3 + 120*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 154 = 3*h, 0 = 4*h - r + 2*r - 210. Suppose 88 = h*x - 8*x. Determine u so that 0*u + 1\/9*u**x - 1\/9 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 458\/39 + -1715\/156. Factor -3\/4*s**2 - v*s + 3\/2.\nAnswer: -3*(s - 1)*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-22 - -2) + 1 - -5. Let m(i) = i**2 - 13*i - 13. What is the tens digit of m(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -50*t - 166. Let x be r(-5). What is the greatest common divisor of 96 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 2\/199223?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2352096*l*v**3 + 5*l*v**2 + 3*l*v - 13*l - 2*v**3 - v**2 + 5*v wrt v.\nAnswer: 14112576*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 2 = 2*r, -4*a - 3*r + 31 = -0*r. Let b(u) = 16*u**2 - 3*u - 2. Does 25 divide b(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -13 - 44*f**3 + 7 + 6*f + f**2 + 7*f**2 + 43*f**3 - 3*f**2. Let y(g) = -3*g**3 + 14*g**2 + 17*g - 17. Let t be 2*(-17)\/6*3. What is t*a(j) + 6*y(j)?\nAnswer: -j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(720)\/sqrt(9) + 3*sqrt(245)) + (((-3*sqrt(150) + sqrt(150))\/sqrt(3))\/(sqrt(50)\/sqrt(45) + sqrt(10) - sqrt(10)))**2.\nAnswer: 25*sqrt(5) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 359295 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.07, -3\/8, 383.7581?\nAnswer: 383.7581","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 98632.49m?\nAnswer: 98.63249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 291*5*(46\/(-3) - -15). Let k = q - -535. Solve -6*m**2 - k + 2\/5*m**3 + 30*m = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 63800 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 2 b when three letters picked without replacement from {i: 2, h: 10, s: 1, c: 1, b: 3}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -7*p**2. Let d = 0 + 9. Suppose 0*s + 6 = 3*s, 16 = -5*c - 2*s. Let t(j) = -3*j**2. Let a(k) = c*f(k) + d*t(k). Factor a(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(156)*-5 + sqrt(156))*2)\/((sqrt(12) + sqrt(72)\/(-4*sqrt(6)))*6).\nAnswer: -32*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -4bc3 (base 15) to base 16\nAnswer: -3f1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 135 - 1484\/11. What is the nearest to -3 in -1\/4, c, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9070 (base 16) to base 15.\nAnswer: -ae51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:28 PM and 4:28 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 28*y**4 - 384*y**3 + 1708*y**2 - 2280*y - 800.\nAnswer: 4*(y - 5)**2*(y - 4)*(7*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3 - 60\/(-18))\/((-1)\/(-3)). Let t(h) = 3*h**3 + 2*h**2 + h - 2. Give t(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:36 PM and 7:04 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7603 - 7603. Let o(t) be the second derivative of 10*t - 5\/3*t**3 + 1\/12*t**4 + 4*t**2 + g. Determine o(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 minutes after 9:36 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.045 - -0.055. Suppose 4*v - 2*m + 6 = 0, -2 = 3*v - 2*m - 0. Which is the nearest to -2?  (a) v  (b) 0.9  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x + 8. Let v be w(5). Let g be (6 - 6\/2)*v. What is the remainder when 13 is divided by (-18)\/(-4) + g\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 3*q**2 - 229*q + 91. Determine m(76).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14\/49)\/(((-80)\/105)\/(-8)*(-408)\/16).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 496 - 238a46?\nAnswer: -238570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.5 and 0.85111165?\nAnswer: 0.425555825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -107*d**3*w - 3*d*w - 289*w wrt d.\nAnswer: -321*d**2*w - 3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(108) - 5*sqrt(108))\/sqrt(9) + -1*sqrt(432) + sqrt(432))\/(3*(sqrt(216) - sqrt(54))*4).\nAnswer: -sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**2 - 7*n - 4. Let v be t(4). Let q be 39\/(-12) + -1 + 6\/(-8). What is the common denominator of 48\/q + 8\/v and -89\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 2*d**2 + 2*d - 2. Let l be q(-2). Let k be (-1)\/l*-2 - -2. Differentiate 0*m**k + 2 - m**3 - 4 wrt m.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-3)\/(-6))\/((-3)\/(-48)). Let n(z) be the third derivative of z**5\/15 - 3*z**4\/4 + 4*z**3\/3 - 56*z**2. Let q be n(4). Solve q = -2*x - 0*x + p for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**3 + 13*v**2 + 12*v + 10. Suppose 3*f - 2*o = -3 + 4, -4*f - 5*o + 32 = 0. Calculate the lowest common multiple of y(-12) and 15\/f - (1 + 1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 694 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2\/(-4) - (-261)\/6.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -5*q. Let u(o) = o**2 - o. Let d = -12 - -13. Let b(p) = -12*p**2 + 10*p. Let v(m) = d*b(m) + 10*u(m). Give x(v(j)).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 539 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 8761627057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -50 - -85. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k**3 - 5*k**2 - 2*k + 12. Let l be p(5). Suppose 35 = a + 3*u, 3*a - l*u + 4*u - 70 = 0. Factor 136 + 10*j**2 - 5*j**4 - 89 + a*j**3 - 92 - 60*j.\nAnswer: -5*(j - 3)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - (-2 - -1) - -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -516\/217, 1\/5, -181 in ascending order.\nAnswer: -181, -516\/217, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(1\/2))**(21\/4) assuming u is positive.\nAnswer: u**(21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u**5\/5 + 18*u**4 - 132*u**3\/5 - 38716*u**2\/5 + 448134*u\/5 - 409374\/5 = 0. Calculate u.\nAnswer: -21, 1, 19, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1375 = 88*f - 412 + 27 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4137 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*b**3 - 5*b**3 + 1249 + 1064 + 1231 - 919.\nAnswer: -b**3 + 2625","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 - 21214315?\nAnswer: -21214321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 times -607.7\nAnswer: 303.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (68913348\/(-946) - 1\/(-11))\/(4 - 5)?\nAnswer: 97, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -3*s**2 + 6*s - 1. Let b(t) = t**2. What is -b(g) - w(g)?\nAnswer: 2*g**2 - 6*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00297 to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 54952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 26 + 2. Let c = j + -16. Suppose -2*p + 4*z + z = 12, -2*p - z = -c. Calculate the remainder when 17 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2639 and 182?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 60, 2\/7, -2\/11, -0.05 in descending order.\nAnswer: 60, 2\/7, -0.05, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 4981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + -1 - (-23 - (6 + -10 + 7)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 712 by -178.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the third derivative of o**7\/14 + 7*o**6\/24 - 7*o**5\/12 - 5*o**4\/8 - 36*o**2 - 1. Solve g(b) = 0.\nAnswer: -3, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*g**2*q + g**2 - 11179*g*q + 29655*q wrt g.\nAnswer: 4*g*q + 2*g - 11179*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 46.95 + -46.89. What is the biggest value in 0.4, y, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 9*q**3 + 14*q**2 - 518*q. Let c(a) = -19*a**3 - 26*a**2 + 1035*a. Let n(t) = 3*c(t) + 7*z(t). What is the second derivative of n(f) wrt f?\nAnswer: 36*f + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2*(778\/44 - 26\/143). Which is smaller: -6 or t?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 212 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11490 is divided by 3827?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 12f + -ef6?\nAnswer: -dc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**2 + 11535*u - 416565. Calculate o(36).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 91282127201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 90 and 3762.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yvy. Give prob of picking 2 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6706275 to the nearest integer?\nAnswer: 2590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -796 + 2827 = -44*i - 752 - 649 for i.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that 76*c**5\/7 - 144540*c**4\/7 + 446236*c**3 - 5362788*c**2\/7 + 1932400*c\/7 + 451200\/7 = 0.\nAnswer: -3\/19, 1, 20, 1880","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i + 13. Let n be z(10). Solve 8*w = 1 + n for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0*12\/1320)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate a**4 + 1120072*a*s - 4*s + 1493042 with respect to a.\nAnswer: 4*a**3 + 1120072*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (12*o - 2*o + o)*(-13*o + 5*o - 2*o)*(2*o + 0*o + 2*o + 1) to y*o + p*o**3 + i + w*o**2 and give p.\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 232 - 491. Let v = y + 385. Let s = v - 92. Calculate the lowest common multiple of s and 2.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.035 + 0.108. Let n = p - 5.073. What is the nearest to 2\/3 in 2, n, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 25306672 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 6*q - 34 = -5*j, q - 4*j + 17 = 0. Let k be -2 + 2\/((-2)\/(-5)). Suppose -k*i - 6 = -3, 8 = q*m - 2*i. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 minutes after 8:32 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -28, -80, -164, -286, -452, -668, -940?\n\"Answer: -q**3 - 10*q**2 - 15*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 9.22651+-1.4\nAnswer: 7.82651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 4343014980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1161 + 205?\nAnswer: 1366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -3*q**3 + 5*q**2 + 17*q + 7. Let c(u) = -2*u**3 + 2*u**2 + 9*u + 4. Let g(m) = 5*c(m) - 3*r(m). Does 2 divide g(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-663)\/(-34) - 6)*-68*11\/(-99)\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2003353 + 23499260.\nAnswer: 23499260.2003353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9582 - 9581.99999677. What is g rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gqbggnqbwbgg. What is prob of picking 2 q and 1 g?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -109, -104, -105, -106, -101?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:33 AM and 11:35 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and 1\/14633 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*r - 2*r - 8*r - 21*r**2 + r**3 + 21*r to the form w + b*r + t*r**3 + n*r**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -115\/14 and 59\/33204.\nAnswer: 232428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -727 or 0?\nAnswer: -727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 5*o + 4 = 2*u, 0 = o + 2*u + 5. Suppose 4*c + 2*c = -18. Put 1, o, c in ascending order.\nAnswer: c, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -113 - -59. Let r be 15*(c - -4)*-61600. What is r rounded to the nearest one million?\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -17\/175 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -3*p + b - 1500005, -2*p - 749985 = 3*b. Round p to the nearest ten thousand.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*z + 5*z + 4 + 15603*z**3 - 15595*z**3.\nAnswer: 8*z**3 + 2*z + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the third derivative of 8*v**2 + 0*v - 5\/36*v**4 - 1\/252*v**7 + 1\/24*v**5 - 5\/9*v**3 + 0 + 1\/72*v**6. Find z such that q(z) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -242084272 and 2.355.\nAnswer: -242084269.645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 528*a - 525*a - 597. Let s = a - 201. Sort -59, -1, s in decreasing order.\nAnswer: -1, s, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 258 by -6.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.002151 to four decimal places.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*k**2 - 10*k**2 - k**2 - 11*k**2 - 8*k**2.\nAnswer: -19*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6\/(-51) + 1131\/221. Solve -20 = g*s, 2*p + 2*s = -s - 14 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 172 is divided by 88?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) 1\/2  (b) 2\/7  (c) 0.06  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gtt when three letters picked without replacement from tgggt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 198296?\nAnswer: 2, 7, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i**5\/2 + 3*i**4\/2 + 93*i**3 - 342*i**2 + 324*i = 0.\nAnswer: -9, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, -2.46, 3998\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 930.602km in meters?\nAnswer: 930602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = s - 22, 0 = -2*s + 5*d + 15 + 9. Let b = 30 - 15. Let a = b + -7. What is the smallest common multiple of a and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/((6*14\/336)\/(3\/(-4)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 + (3 + (3 - 4) - (3 - 0)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1128 and 17202.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 10 - 10.1. Suppose 0*c - 4*c = -40. Is d at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -k, 2*i - 22 = 3*k - 7*k. Calculate the greatest common divisor of 11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 16 - 29\/2. Let w = 5 - 5.1. Let k = 0.1 + w. Which is the nearest to k?  (a) p  (b) -5  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -5 - 10. Suppose -3*m + 2 = -b - 3, 3*m - 21 = -3*b. What is the smallest common multiple of d and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c**3 + 8*c**2 + 14*c + 45. Let r be z(-7). Let o be (10\/(-20))\/(r + (-58)\/(-12)). What is the third smallest value in 0.4, o, -8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38045?\nAnswer: 5, 7, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*x - 11*a - 26 + 129, -2*a + 5 = -94*x + 92*x - 1 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 28918461, 28918462, 28918463?\n\"Answer: f + 28918460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 430976 is divided by 588?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 128*g - 136*g + 16. Which is the second smallest value?  (a) 1\/101  (b) g  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the third derivative of j**8\/840 - j**5\/60 - j**3\/6 + j**2. Let r(u) be the first derivative of k(u). Find the second derivative of r(c) wrt c.\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 4*l = 32, -7*x = -2*x - 4*l + 104. Let i be (x\/(-10))\/((-39)\/(-520)). What is the highest common divisor of i and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -57 + 51. What are the prime factors of (54 - (0 + 0))\/((-4)\/j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:44 AM and 7:54 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -10.6478 to one decimal place.\nAnswer: -10.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 351629 is divided by 1767?\nAnswer: 1763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(2\/33))\/g**(-7))\/(g\/((g**(-18)\/g)\/g)*g**(5\/4)) assuming g is positive.\nAnswer: g**(-1873\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 5922 greater than 6398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/125 of a centimeter in micrometers?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -369 = 14627*k - 14668*k for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -20*34\/1700*8\/(88\/35)\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -5555?\nAnswer: -2\/5555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (12\/(-10))\/(6\/(-20)). Suppose 0 = p*j + 15 - 39. Calculate the remainder when 10 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -196 = -23*s - 794. Let v(p) = -p + 51. Let i be v(s). What is the highest common divisor of 55 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-4)\/(-66))\/((-5)\/(-15)). Let n = 39 - 59. Let v be (3 - 8)\/(-10) + 2\/n. Which is the nearest to v?  (a) -2  (b) 1\/2  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (16\/(-1036))\/(24\/(-84))\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 - 4)*((-1 - 1 + 3)*(2 - 2 + m) - m - m + 5*m).\nAnswer: -20*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 14*d**2*l**3 - 149700*d**2*l**2*q**2 - 4*d**2*l*q - 65924*d*l*q**2 + l*q**2 wrt l.\nAnswer: 84*d**2*l - 299400*d**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12905.26 - 9011.93. Let w = m - 3917. Let n = w + 25.5. Round n to one dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the second derivative of 37*d**5\/10 - 5*d**3\/6 + d**2\/2 + 62*d. What is the second derivative of c(g) wrt g?\nAnswer: 444*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l - 450 + 387 = 3*r, -11*r + 33 = 4*l + 6*r - 4*r for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -10 + -2. Let y be (-3)\/p*0*-1. Solve -2*a - 1 - 7 = y for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**2 - m + 18. Determine l(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 - 46?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the first derivative of -u**5\/20 + 5*u**3\/6 - 13*u + 3. Let m(r) be the first derivative of d(r). What is the second derivative of m(g) wrt g?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r**2 + 0*r - r - r**2)*(-12 - 11 + 10)*(5 + 0 - 8).\nAnswer: -39*r**2 - 39*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 39\/4, 5, 6448?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -19 + 56. Let g = 21 - 44. Let d = g + o. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.002 - 15.802. Let f = 16 + d. Let o = f - 0. What is the second smallest value in o, 1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -162, -325, -488, -651, -814, -977?\nAnswer: -1140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 282361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*f**2\/11 - 16*f\/11 + 32\/11 = 0. What is f?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 30593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -3451630 take away 0.237?\nAnswer: -3451630.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2262658 smaller than 11313291\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*y + 123*y**2 + 115*y**2 + 1 - 235*y**2 in the form j*y + i*y**2 + a and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6234954492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that g**3\/2 + 3857*g**2\/2 + 1928*g = 0.\nAnswer: -3856, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -24 + 111552022?\nAnswer: 111551554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/43934 and 149\/2844?\nAnswer: 62474148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 8059947 to the power of 1\/2, to the nearest integer?\nAnswer: 2839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 74*x - 3. Let y be c(3). Suppose -4*v + 3*v + 91 = 5*n, -426 = -5*v + 4*n. Let q = y - v. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**3 - 13*m**2 + 15*m + 18. Determine f(12).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 - 2 - 2)*(116*u - 242*u + 107*u) + 4*u - u - u + (0*u + 0*u + 2*u)*(-2 - 1 + 1) + 10*u - 20*u + 38 + 8*u in the form i + m*u and give m.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-1))**2)**13*(h**(1\/2)*h)**(-4)*(h**1)**(-2\/5) assuming h is positive.\nAnswer: h**(-162\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 6915.325kg?\nAnswer: 6915325000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.58719 + 2774.11281. What is l rounded to the nearest ten?\nAnswer: 2770","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*a**2 - 2*a**2 + 6*a**2)*(0 + 0 - a) - 3 + 2*a**3 + 3 - 3*a**3 - 4*a**3 + 2*a**3 - 4*a**3 - 10*a**3 - a**3.\nAnswer: -19*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 18 and 74799.\nAnswer: 149598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -5*i + 2*i + i. Let d(x) be the first derivative of -x**4\/12 - 7*x**2 + 13. Let l(g) be the second derivative of d(g). What is a(l(u))?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1139024\/204795 + 4\/4995. Which is smaller: -5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -2*w**3 + 4*w**2 - 8*w - 6. Let j(f) = -4*f**3 + 7*f**2 - 16*f - 11. Suppose -42*y - 10 = -40*y, 0 = 5*i - 3*y - 45. Determine i*j(d) - 11*k(d).\nAnswer: -2*d**3 - 2*d**2 - 8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -15*a + 10*a + 90. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9*h**3*p*t**2 + 55*h**3*p + h**3*t + h**3 - 373*h**2*p - 25*p*t**2 wrt h?\nAnswer: -54*p*t**2 + 330*p + 6*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -6811, -6810, -6809?\n\"Answer: k - 6812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(14)\/sqrt(2)*-5 + -2)*5.\nAnswer: -25*sqrt(7) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -21342306 - -4?\nAnswer: -21342302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 + -5 + 5 + 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = m**2 + 16*m - 15. Let z be w(-16). Let v = 2 - 49. Let f = z - v. Is f a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/24 + 68\/16. Sort 0, z, 2, 3.\nAnswer: 0, 2, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-4 + (1*sqrt(396)*-5)**2 + 1)*1.\nAnswer: 9899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d - 4*t + 48 = 0, -d - 2*t = 436 - 469 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x*x*(x**(1\/4)\/x*x)\/x))**30\/(x\/((((x**1\/x)\/x)\/x)\/x))**24 assuming x is positive.\nAnswer: x**(-207\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand w**4 - 4 + 4 + (-6*w**3 + 5*w**3 + 2*w**3)*(-3*w + w + 3*w) + 6 - 5 - 47*w**4 + 0.\nAnswer: -45*w**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*i**3 - 6 + 7*i**3 - 5*i**3 + i**4 + 0 to n*i**3 + k*i + p + g*i**4 + h*i**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 5) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*q - 19901 - 7*q + 7*q + 19904.\nAnswer: -7*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 21.6 - 21.7. Let x = -0.4 - -0.3. Let i = x - -0.7. Which is the second biggest value?  (a) i  (b) 5  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -h + 7. Suppose q = 83 + 95. Suppose q = -c + h*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11477 bigger than 2.23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -166 = -2*y - 2*c, -6*y = -2*y + 2*c - 336. Let z(q) = 17 + y*q**2 - 2*q - 86*q**2 + 3*q. List the prime factors of z(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 65 divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 1788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 585516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f*f*f**(1\/6)\/f*f))\/f**(-3\/5))**20\/((f**3*f*f)\/((f\/(f**1\/f))\/f)*(f**(2\/3)\/f)**(2\/101)) assuming f is positive.\nAnswer: f**(-1649\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0394781395 to 5 decimal places.\nAnswer: -0.03948","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.003832884 to 5 dps.\nAnswer: -0.00383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(39) - 6*(sqrt(39) - sqrt(39)*-2 - sqrt(39)))\/(sqrt(3) - (2*sqrt(300) + sqrt(300) + sqrt(300))))**2.\nAnswer: 121\/117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -9 in -1\/12, -3, -1\/6, 0.604?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.067428396 to 5 decimal places.\nAnswer: 0.06743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 87 + -87. Let p be v*(42\/12 - 3). Let x(b) = -b**3 + 5*b**2 - 3*b - 5. Let a be x(4). Sort p, -10, a in decreasing order.\nAnswer: p, a, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -4*u - 156. Let z be m(-42). Let g(t) = t - 4. What is g(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -483315.697 rounded to the nearest one hundred?\nAnswer: -483300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 390.097858 to the nearest 10.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (6*(-2)\/4)\/1 - 1. Suppose -5*l - 5 = -4*g + 3, -5*g - 4*l + 10 = 0. Which is the second smallest value?  (a) m  (b) 3  (c) g  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10311013 (base 4) to base 8.\nAnswer: 46507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 62 and 682?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -66.02 - -82.3. Let z = -16 + u. Round z to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l + 3 = j - 13, 12 = -3*j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g = 3*d - 11, 0 = 2*d + 4*g - 8*g + 26 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(15)\/sqrt(12) - (sqrt(5)*-4 + 5)) + (-5 + sqrt(20)\/sqrt(4) - sqrt(5) - sqrt(5))*5*5.\nAnswer: -130 - 41*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -2, -50, 620 in decreasing order.\nAnswer: 620, 3, -2, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 46 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*k + 15, 4*v + v - 3*k - 79 = 0. Solve v*b - 6*b + 16 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*z - 204*z**2 + 9*z + 10*z - 421*z**2.\nAnswer: -625*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -16465\/8 + 2050. Find the common denominator of -73\/2096 and t.\nAnswer: 2096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 135 divided by -27\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*p + 23*p - 13*p - 13*p.\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15\/(-6))\/((9831\/1582)\/((-20)\/(-42)) - 13)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 650031053 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-1)\/8)\/(1*(-6)\/8). Let x(k) be the second derivative of g*k**4 + 3*k + k**2 + 0 - 2\/3*k**3. Find h such that x(h) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -131*n - 242. Let h be c(-7). What is the greatest common divisor of h and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 543, 547, 561, 591, 643?\n\"Answer: r**3 - r**2 + 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 1156 + 131*x + 29*x - 1180 + 9*x in the form p + q*x and give q.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1161318036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w**(-8))\/w)\/w)**(-32) assuming w is positive.\nAnswer: w**288","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.0359 + -0.0241. What is the nearest to 1\/4 in g, 5, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -345*u**3 - 2*u**2 + 54*u + 54. Give f(-1).\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the second derivative of i**5\/20 - 7*i**4\/6 + i**3 + 97*i**2\/2 - 26*i + 6. Suppose 4*j + 5 = 29. Calculate the least common multiple of j and t(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-1)\/21 - 0)\/(95\/570). Which is the closest to -1\/9?  (a) r  (b) 0.9  (c) -4\/3  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (12 - (-304)\/(-32)) + 14\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67065*q = -67117*q + 572 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7143049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8400 and 143850?\nAnswer: 1150800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.2, 3\/7, -195, 1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = -3*j + 151, 2*h + 2*h = 8. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 75 = 69. Sort 0, 1, o in increasing order.\nAnswer: o, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 88?  (a) 0  (b) 16  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-2)\/((y*y**(-1\/2))\/y*y)*y**(-12)\/y**(4\/9) assuming y is positive.\nAnswer: y**(-269\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 16 - 16.11. Let n = j + 0.24. Let w = -1.87 - n. Sort 3, w, -0.4 in increasing order.\nAnswer: w, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 568907387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u = -2*a + 26 - 2, 0 = 5*u - 3*a - 14 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 11713, 23285, 34843, 46387?\n\"Answer: -7*l**2 + 11593*l + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l**2\/17 - 8*l\/17 = 0 for l.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -391329112 divided by 5\nAnswer: -391329112\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 k when two letters picked without replacement from {k: 4, q: 3, w: 1, c: 3}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 0.5, -5, 3, 2, 1, 1\/3 in descending order.\nAnswer: 3, 2, 1, 0.5, 1\/3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 + 12*s + 16 - 10)*(-4*s**3 + 0*s**3 + 2*s**3).\nAnswer: -24*s**4 + 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:11 AM and 11:48 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 1 = -5. Suppose -8*u = -z*u. Suppose u = -2*s + 4*s - 24. Solve 0*l - s = 3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q**3 + q**2 + q + 3. Let p be t(0). Let w(u) = 2*u**2 - 2*u - 20*u**3 - u**3 + 7*u**p + 0 + 1. What is w(1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 309111674 to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3\/13 - 17\/39. Let p be -3 + 0 + -4 + 72\/12. Let a be 10\/(-5)*(p + 1 - 1). What is the third biggest value in -1\/31, 0, y, a?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0 - 4) + (5 - 3). Let w be (z + 3)\/(1\/4). Solve -3*r - 2 + 2*r**3 + r - 5*r**4 + w*r**4 + 3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2709342 is divided by 10150?\nAnswer: 9442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -14*t**2 + 12*t + 2. Calculate f(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -130 smaller than -130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -13012.5 - -18334. Let f = 5319.50005 - u. Let z = f - -2. Round z to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 214656?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.26?  (a) 70  (b) 2\/3  (c) 3\/8  (d) 3  (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**2 + 4*y + 2. Let m be b(4). Suppose z - 5*z + q + 35 = 0, -5*q + 35 = z. Suppose f - z = -5. Solve f*t = -m + 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5 - -34462?\nAnswer: 34455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put together -165247054458391 and 5.\nAnswer: -165247054458386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 0.062269, -28 in increasing order.\nAnswer: -28, 0.062269, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7 - -7. Let w(t) = t**2 + t + 22. What are the prime factors of w(q)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 564189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2570*n + 1177*n - 2681*n.\nAnswer: -4074*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1066 = -99*j + 69*j - 136 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -5 + (-3)\/(-3) + 0 - -8. Solve c = -0*s - 4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2779816 is divided by 294?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -83\/24 and 27\/336616.\nAnswer: 1009848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 55\/8 + -391\/56. Let m = -19\/84 + x. What is the closest to m in -2, -5\/2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence roio when four letters picked without replacement from {z: 5, s: 1, r: 1, o: 3, w: 3, i: 1}.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**4*a*a**(-1\/9)*(a*a**(-1\/2))**(-14) assuming a is positive.\nAnswer: a**(-19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -101 + 45 = -7*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 299 and 230828?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**1)**(3\/16)\/(d*(d\/(d\/(d**(-1\/6)\/d*d)))\/d*d*d*d*d**3) assuming d is positive.\nAnswer: d**(-271\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 4 = 2*u, 4 + 6 = 5*u - 4*s. Suppose 0*v + u*v - 2 = 0. What is the derivative of 4*m - 10*m - 2 + v + 7 wrt m?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-11)\/(-6) + (-10)\/(-60). Let k = m - -2. Sort -4, -6, k in descending order.\nAnswer: k, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*z + 47 = -4*y - 3*z, -68 = 5*y + 3*z. Let t(f) = f**3 + 14*f**2 + 14*f + 13. Let q be t(y). Solve q*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the first derivative of 2*g**2 - 5. Let c(b) = -3*b**2. What is o(c(t))?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*m**4 + 960*m**3 - 1940*m**2 = 0. What is m?\nAnswer: -194, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(200) + 1)*-2 + sqrt(200))**2*-4.\nAnswer: -2448 - 480*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven tenths of a century in months?\nAnswer: 1320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes after 2:39 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 16*p**3 - 2*p**2 - 2*p - 1. Calculate b(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1353 - 1353.3. Which is the fourth biggest value?  (a) 0  (b) 7  (c) u  (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 106 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of -20 and -588.\nAnswer: 11760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 104843*d**3 + 5*d**2 + 486*d - 35 wrt d.\nAnswer: 629058*d + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -65*g + 5*y + 345, -2*g + 3*y - 21291 + 21313 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.03 + -1491.\nAnswer: -1490.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the second derivative of -m**3\/3 - 2*m. Let p(o) be the third derivative of 0*o**3 + 0 + 0*o - 1\/4*o**4 + 4*o**2. Calculate s(p(h)).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {n: 6, t: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 + 26\/5 + (-176)\/(-220). Let p(x) be the first derivative of -j + 9\/2*x**4 + 2\/3*x**5 + 12*x**2 + 16\/3*x + 100\/9*x**3. Solve p(h) = 0 for h.\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, 4, 3, 0, -2, -801 in decreasing order.\nAnswer: 9, 4, 3, 0, -2, -801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12 is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.892 rounded to 1 decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes after 6:33 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6749032*-0.5.\nAnswer: 3374516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -83*n = -81*n - 10, 3*c + n = -1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**2 + x - 1. Let y = 818 + -819. Let v(m) = 2*m**2 - 5*m + 4. Give y*v(b) - 4*p(b).\nAnswer: 2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24 - (-50 - (-6 + -53)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9.14 + 1.14. Let u = -8.5 - w. What is the third biggest value in u, -40, 0.4?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the second derivative of 3\/5*z**2 + 2\/15*z**3 - 3 + 1\/90*z**4 - 22*z. Factor k(o).\nAnswer: 2*(o + 3)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7751 is divided by 388?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2fda - 1105?\nAnswer: -40df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 213304330 + 10?\nAnswer: 213304340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -233 = 298*f + 65 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -81.2810846 to 1 decimal place.\nAnswer: -81.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -18 + 18*y**5 + 18 + (-3*y**5 - 6*y**4 + 6*y**4)*(4 - 5 + 0).\nAnswer: 21*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -6*r - 6. Let c be w(-5). Let m = 42 - c. Suppose -6*i = -3*i - 12. What is the lowest common multiple of m and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8 - (1 - (38 - 11))) + -14\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, 18, -1226, -5, -12, 2, 5 in decreasing order.\nAnswer: 18, 5, 2, -5, -10, -12, -1226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 3, w: 13, y: 4}. What is prob of sequence ywyw?\nAnswer: 26\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -115*(2 - (-84)\/(-30)) is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r - 19 + 9 = -o, -4*r = o - 34 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(3 + 3*(sqrt(13) + 1)) - ((sqrt(156) - (2*sqrt(156) - sqrt(156))*3) + sqrt(156))\/((sqrt(132)*2)\/sqrt(11)))**2 + -5 + 5.\nAnswer: 306*sqrt(13) + 5053\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 3*d**2 - 14*d + 11. Let t(c) = -4*c**2 + 15*c - 12. Let s(h) = -5*k(h) - 4*t(h). What is the units digit of s(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20 (base 12) to base 13.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, x: 6, v: 2, g: 2, f: 1, d: 3}. Give prob of sequence kxgg.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.006 + -0.004. Let c = -0.99 + x. Suppose -5*u + 29 = -3*k, -3*k + 7 = -3*u + 7*u. What is the nearest to c in 1\/3, -5, k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1664 is divided by 830?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 87*r**2*x**2 + r**2*x - 48*r**2 - x**3 + 4 wrt x?\nAnswer: 174*r**2*x + r**2 - 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-3*u + u - 2*u)*(2*u - 1 + 1) - 5*u**2 + 5*u**2 - 5*u**2)*(3 - 1 - 1) in the form g + k*u + w*u**2 and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/10*(-7)\/280*-75.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 99, -4, 387 in decreasing order.\nAnswer: 387, 99, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 2*m**2 - 25*m - 11. Let c be f(13). Solve 2*h - 8 = -c for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve d = 29*r - 25*r - 17, 5*d - 7 = -3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least 9\/4997?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 82 - 81. Which is the nearest to -1\/3?  (a) 4  (b) o  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4 - 18.6.\nAnswer: -18.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4 + (-2 - -1) - 1. Solve r = -3, w*m + m + 5*r = -27 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -5*n + 5. Suppose -208 - 37 = -49*i. Let d(t) = -7*t**2 + 3*t**2 + i*t**n. Let r(w) = -5*w. Determine r(d(b)).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:14 PM and 1:08 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -26229 - -81221. Is 17 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the third derivative of q**5\/30 - q**4\/4 + 2*q**3\/3 - 11*q**2. Determine z, given that f(z) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17460 is divided by 543.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -38.9 + 39. What is the smallest value in 6, 5, n, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 26 - 28.8. Let j = b + 7.5. Let u = -4.7000031 + j. What is u rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -3*i - 10, -3*i + 4 = u - 4*i. Let b(x) = 3*x**2 - x + 1. Let p be b(1). Solve w - p = u for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iiri when four letters picked without replacement from irmimeimgmm?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 1. Let f(x) = x**2 - 7. Let u(d) = 35*c(d) + 5*f(d). Let y(j) = 3*j. What is y(u(s))?\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3029392 plus 10?\nAnswer: 3029402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 2*j**3 - 2*j**2 - 4*j + 3. Let a(s) be the second derivative of -s**5\/4 + s**4\/3 + 3*s**3\/2 - 7*s**2\/2 - 4*s. Determine 3*a(b) + 7*c(b).\nAnswer: -b**3 - 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the first derivative of 2*s**2 - 5*s - 3. Calculate the remainder when 57 is divided by h(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*h + h + 16*h = 8*h. Which is the fifth smallest value?  (a) 2  (b) 1\/4  (c) 17\/2  (d) h  (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 9*q + 78. Let i be z(-10). Let m be (-6 - (i - -6))\/1. Solve 7*h - 4*h + 15 = m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qfqlhqlqqhq. What is prob of sequence fh?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.95875 centuries to years.\nAnswer: 795.875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -2*l**3 - 51*l**2 - 32*l - 148. Give o(-25).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -207 - 3?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s + 1 = q, -14*q - s + 2 = -15*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 2 = -g. Suppose -5*h + 5 = -g. Which is the closest to -1?  (a) -2  (b) 0.4  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*s**4 + s**4 + 4 - 5*s**4 + 3*s**3 - 3 as j*s + o + f*s**2 + r*s**4 + z*s**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1263.9493 - 1264. What is x rounded to 3 decimal places?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 74027001?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1177966 and 739?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 8\/10*(52\/10)\/(384\/2400)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -12\/1309?\nAnswer: -12\/1309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1.5, 0.4, -16, 8?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12041271 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -23123232330 (base 4) in base 14?\nAnswer: -5803a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 99939\/(-63)*435\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35006044 to the power of 1\/2, to the nearest integer?\nAnswer: 5917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 16 + (-2 - 26\/13). Solve -y*g - 14 = 34 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1 - -20024?\nAnswer: 20030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56 = -141*s + 155*s. Which is the third biggest value?  (a) 0.43  (b) s  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3177\/4 + 803. Let f be 3 - -1 - 0\/2. What is the common denominator of (1\/(-15))\/(f\/234) and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2.3 + 2.7. Let s be 2\/9 - 1\/(-36). What is the biggest value in s, b, -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1 - (0 - (3 - -1)). Let j(u) = u**2 - 2*u - 26. Let c be j(7). Suppose -c*n - 62 = -17. Put a, n, 2 in decreasing order.\nAnswer: a, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3577 (base 11) to base 4\nAnswer: 1021022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 60 and 4.46094.\nAnswer: 267.6564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**2 + 7. Let a be o(6). Let w = -21 - a. Let j(y) = w*y**2 - 4*y**2 - 4*y**2 - y**2. Let k(d) = 6*d. Determine j(k(b)).\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 5*l = 0, 4*l - 4 + 14 = p. Suppose 3*a + 12 = p*t - a, t - 6 = -3*a. Calculate the lowest common multiple of 1 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*g - 7 = 33 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32871735.\nAnswer: 3, 5, 13, 83, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 47 - 33. Suppose -4*f + 6 + w = 0. Solve 16 = 4*b - b + f*m, 0 = -3*m + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -44*k**3\/3 + 1296832*k**2\/3 + 235792*k.\nAnswer: -4*k*(k - 29474)*(11*k + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 217398?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 4*u**2 + 88*u + 127. Let w be y(-19). Which is greater: w or -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 2\/5, 2\/53, 0, -3\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2263041 (base 7) in base 3?\nAnswer: 112110002110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -225.81  (b) -3  (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*q + 1\/2*q**5 + q**4 - q**2 + 0 - 1\/2*q**3.\nAnswer: q**2*(q - 1)*(q + 1)*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6 - -1) + 18\/9. Sort 5, 4, q, -4 in descending order.\nAnswer: 5, 4, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/(-2) - (-21)\/(-6). Find the common denominator of a\/((-15)\/(-2)) + 375\/(-18) and 17\/58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1072 - 1072.2. Which is the nearest to 2?  (a) p  (b) -88  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5*f*h**2 - 27*f*h - 48*f - 513605*h**2 wrt f.\nAnswer: -5*h**2 - 27*h - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -431483 divided by -33191\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5 + -10. Let s(u) = -u**2 - 4*u - 1. Let r be s(i). Let w = r - -29. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**3 + 2*b**2 + 3*b - 3. Let v be w(2). Let f be (v + -6)*-1 + -2. Let s = 3 - f. Solve -s*g - 1 + 3 = -2*a, 7 = -g - a for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 33.62543nm?\nAnswer: 0.000003362543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the second derivative of u**3\/6 - u**2 + 18*u. Determine z(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5, 16, 49, 94, 151?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sdsvssuvuuouossuss. Give prob of sequence uvud.\nAnswer: 1\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-26)\/z*z\/(z\/(z**10\/z))*z**(3\/23)*z**(-6) assuming z is positive.\nAnswer: z**(-549\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 2*h**2 + 179*h. Let a(b) be the second derivative of b**3\/6 + 180*b - 1. What is i(a(g))?\nAnswer: 2*g**2 + 179*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:49 AM and 12:01 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the third derivative of w**8\/336 + w**6\/15 + w**5\/20 - 56*w**2. Find the third derivative of f(g) wrt g.\nAnswer: 60*g**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r + r - x - 35, r = 5*x + 35. Solve r = -40*f + 35*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/((-2)\/(48\/9)). Let n(v) be the second derivative of -v**5\/20 - 7*v**4\/12 + 7*v**3\/6 - 9*v**2\/2 - 306*v. Determine n(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 16) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-168)\/(-16) - -5)\/(1\/2). Suppose 24 + y = 5*i. Solve -4*x = i - 23 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 11982 - -18985?\nAnswer: 30967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2820 and -0.1395?\nAnswer: -393.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 38790762830 + -11313481127864645\/291654. Let h = j + 1\/26514. Let p = h + -4625\/66. Calculate the common denominator of 49\/8 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3221685 litres to millilitres.\nAnswer: 322.1685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24 + -4 + 52 + -17 + -4 + (121 - -1).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -34 - -201061.\nAnswer: 201027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 - 4. Let n = 87 + -79. Let f = n + -6. What is the nearest to -5 in 0, t, f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -30*l - 18. Let h be t(-5). Suppose 13*x + h = 15*x. Find the second derivative of x*w - 6*w**4 - 88*w + 3*w**3 - 3*w**3 wrt w.\nAnswer: -72*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 347050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -19*m - 7. Let a(z) = 6 - 4 - 1 - 4 - 9*z. Let t(b) = 5*a(b) - 2*g(b). Let c(i) = -4*i. Calculate 5*c(r) - 3*t(r).\nAnswer: r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 3, 20, 71, 174, 347, 608?\n\"Answer: 3*l**3 - l**2 - l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/(-160)*2*6. Let u(l) = -l + 6. Let n be u(5). Which is bigger: f or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -1 - 2 + 6 + a. Let b(j) be the third derivative of j**4\/6 + 5*j**3\/3 - j**2. Let m(i) = i - 3. Let y be m(10). Calculate y*r(d) - 2*b(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 61 and 1647.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 652 + -651.99999397. What is x rounded to 7 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -p**2 - 211225*p + 211226 = 0. What is p?\nAnswer: -211226, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-112)\/(-98))\/((-66)\/(-21))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/64944 and 31\/397782.\nAnswer: 3182256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -212032 (base 5) to base 11.\nAnswer: -5403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**3 - 3*g**2 - g. Let l be v(4). Calculate the greatest common factor of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -16*f**3 - 5*f**2 + 5*f - 110. Let h(l) = 3*l**3 + l**2 - l + 22. Let i(w) = 2*g(w) + 11*h(w). What is the remainder when i(0) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*j = -5*j - 54. Let i be (-2)\/3 - (-48)\/j. Solve -3*q = 5*l - 4 + 16, -4*q = -i*l + 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (3\/2 - 2)*0. Let h = 3 - -2. Let p = h - 6. Sort -3, z, p.\nAnswer: -3, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -145*z + 4033692 = 175366 + 345701. Does 75 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -0*t - 3*f - 169, -f - 175 = -2*t. Let r(w) = -6 - 43*w + t*w - 49*w. Determine r(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 26489479 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = -5*f - 35, -4*t + 6*f - 3*f + 24 = 0. Let d be (-92708)\/84 - 4\/t. Round d to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 438814040?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -1429682\/9 at least as big as -158854?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 228 = 5*z + 4*d, 0 = 23*d - 20*d + 9. Suppose 138*c = 130*c + z. Solve 6 - c = 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (11 - (-19)\/266*-91)*(-4)\/33\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12 - (-8 - -4)) + -16 + 1 + 2.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -172394.80931 - -172394. Let t = q - -0.81. Round t to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2168 - 2172. What is the second biggest value in -0.61, -0.02, 0.1, m?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 4, r: 2, a: 8, x: 1, y: 1}. What is prob of sequence rry?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-50)\/((-9000)\/135))\/(3\/20)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -81*g + 89*g - 40. Solve -8 = -g*i + 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the third derivative of -i**5\/60 - i**3\/6 + i**2 + 73*i. What is g(6)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02315 times -101383?\nAnswer: -2347.01645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 28 - 1\/3*h**2 - 40\/3*h.\nAnswer: -(h - 2)*(h + 42)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -915878, -915684, -915488, -915290, -915090, -914888, -914684?\n\"Answer: m**2 + 191*m - 916070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*d**2\/8 + 511*d\/4 + 1421\/8 = 0. What is d?\nAnswer: -203, -7\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*z + 3 = -21*z. Let r(x) = -4*x**3 + x**2 - 8*x + 8. Let t be r(1). Sort t, -32, -2, z in ascending order.\nAnswer: -32, t, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5557 + 8223?\nAnswer: 13780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 1 r when three letters picked without replacement from {k: 2, p: 4, r: 1, a: 8}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(315)\/sqrt(7) - (2 + sqrt(20) + sqrt(5))**2) + (sqrt(35)\/sqrt(7) + -3 - (-2*sqrt(245) - sqrt(5))).\nAnswer: -57 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -3*((-15348)\/(-45))\/(-2). Let y = -18196\/35 + t. Calculate the common denominator of (-922)\/(-20) - 2\/(-5) and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -16 or -455\/29?\nAnswer: -455\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -8*d + 15. Let f be v(8). Let c = 53 + f. Suppose z - 55 = c*t, -2*t - 202 = -5*z + 1. Calculate the highest common divisor of z and 351.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -88 - -90. Let t(j) be the second derivative of -j**l + 0*j**4 + 0 + 0*j**3 - 3\/20*j**5 + j. Find the first derivative of t(x) wrt x.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 12*n + 22. Let y(f) = 6*f + 12. Determine 2*a(i) - 5*y(i).\nAnswer: -6*i - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 15) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:50 PM and 11:38 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/(420\/175))\/((-1)\/4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w - 1 - 2 + w. Let f be h(4). Let j(i) = i**3 - 5*i**2 + 6*i - 4. Let l be j(4). Solve -f*c = -l*c + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 252485 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 509 divide 40433763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3\/(-2) - (-17)\/2. Calculate the highest common factor of 28 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + 12 + -13 + -3 + 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*d**3 + 20334*d**2 + 12*d - 81336.\nAnswer: -3*(d - 6778)*(d - 2)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in thirteen fifths of a century?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2764820 (base 11) to base 3\nAnswer: 22222001212010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 618*y - 269*y + 1622*y.\nAnswer: 1971*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/1*4\/6 + 1. What is the third derivative of 0 - 75*s**2 + 680*s**j + 0 - 895*s**3 wrt s?\nAnswer: -1290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7673 is divided by 1534.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0053198 rounded to four dps?\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1217 and -49845?\nAnswer: 51062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 34050 and 450.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + k - 9 = 0. Suppose 0 = -k*x + 182 + 199. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sarxzpp. What is prob of picking 4 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.454068482 rounded to 5 decimal places?\nAnswer: 0.45407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*r + 12 = a + 5*r, 5*a = -5*r + 20 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the first derivative of 7*z**4\/4 - 5*z**2\/2 + 4*z + 18. Let r(c) = 13*c**3 - 9*c + 7. Determine -6*r(x) + 11*w(x).\nAnswer: -x**3 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * 0.1477038\nAnswer: 0.02954076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q - 3*k + 1 = 13, 3*k = -15 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*f - 8*f**2 + 2*f**2 - f**2 + 0*f.\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2723*n*w**2 - n*w - 7191210*n + 352*w**2 with respect to w.\nAnswer: -5446*n*w - n + 704*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 299 and 13052.\nAnswer: 300196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 2*l**3 + 95*l**2 + 1067*l - 177. What is f(-29)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 5*n - 22 = l, 3*l - 3*n = -54. Let g be 12\/l + (-1)\/4. Let s(k) = k - 2. Let h be s(3). Put -4, g, h in increasing order.\nAnswer: -4, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6*1\/((-4)\/(-70)). Suppose 24 = -y - 18. Let x be -3 - (y + (-6)\/2). What is the greatest common factor of x and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 24497, 48777, 73057?\n\"Answer: 24280*s + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-405)\/972)\/((-2)\/24))\/(20\/64).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4520 (base 16) to base 3.\nAnswer: -220021102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -348, 0, 1, 3.\nAnswer: -348, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 2*r**2 - 46*r - 43. Let b be g(24). Let v(t) = 10*t**3 + 12. Let o(a) = a**2 - 6*a + 12. Let n be o(6). Let k(u) = -4*u**3 - 5. Give b*v(l) + n*k(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -68196?  (a) 3  (b) -6  (c) 6\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = 4*o + 9*p - 268664, 3*o = 3*p + 201525. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-three quarters of a meter in centimeters?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-163 - -146) + (27 - 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the second derivative of v**5\/330 + 3*v**4\/22 + 27*v**3\/11 + 63*v**2\/2 - 14*v. Let y(o) be the first derivative of q(o). Let y(l) = 0. What is l?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -23949, -22935, -21909, -20865, -19797, -18699?\nAnswer: -17565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 2  (b) -49  (c) -6\/205\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1607 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2674079*t - 2674218*t - 3614 = 0 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -23976 + 101153. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -4*v**3 - 4*v**2 - 2*v. Let f(z) = 2*z**3 + 2*z**2 + z. Determine 7*f(x) + 3*i(x).\nAnswer: 2*x**3 + 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -202*s + 313*s - 189*s + 156. Suppose 2*q - 2*u - 12 = 2*u, 3*u = 3*q - 21. Calculate the lowest common multiple of s and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -15.4 + 2.4. Let z = y + 18. What is the second smallest value in -5, -3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-680)\/200 + 9\/(-15) + 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 302944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -3*m**3 - 4*m**2 + 3*m + 3. Let z(v) = 10*v**3 + 11*v**2 - 9*v - 10. Let d(n) = -7*p(n) - 2*z(n). Calculate d(-7).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -4*i + 7. Let z(x) = x**3 - 19*x**2 - 120*x + 3. Let a be z(24). Determine u(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 182 = o. Let j be 678\/(-48) + (1 - (-7)\/(-8)). Let z = o + j. What is the greatest common divisor of 21 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 7, i: 2}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f + 7. Calculate v(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-30)\/((-18)\/(-3)) - -53 is divided by 31?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a + 1, -3*a - 2 = -0*s + s. What is the highest common divisor of 57 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-16317)\/666)\/(2\/(-1564)).\nAnswer: 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -308 - -308. What is the third biggest value in t, -5, 2\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9891471, 19782930, 29674389, 39565848?\nAnswer: 49457307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 10\/(-12)*-18*(-3)\/(-30)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 8*n - 3*n = 2570, -5*v - n + 2554 = 0. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 2 - 9*n + 4.\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1088) - (sqrt(1088) - (sqrt(1088)*2 + 1))) + sqrt(1088)*1 + -5)*1.\nAnswer: -4 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 240540 to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9 and 994?\nAnswer: 8946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2473\/11 - 225. Suppose 4*h - 10 = 4*d - 6*d, -5*d - 2*h + 17 = 0. Let i be (2 - 4) + d + -1. Is i > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*h + 40*h - 11*h)*(2 + 1 - 4 + (-5 + 5 - 2)*(-3 - 1 + 5) + 4 - 2 + 3).\nAnswer: 40*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -104  (b) 24  (c) -20  (d) 3  (e) 5  (f) 17  (g) -5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2553, -2 in descending order.\nAnswer: 2553, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -529256, -529259, -529262, -529265?\n\"Answer: -3*i - 529253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -18 - -48. Let x = -20 + l. Let t = x + -8. Solve -z = -5*d - 21, -t*z - 16 = 3*d - 6*z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 139 = -5*u + 86, -4*u = -5*c - 163. Let r = u + 26. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-8*s - 3 + 1 + s)*(-2 + 7*s**2 + 2) - s**3 + 0 + 0)*(2*s - 3*s - s).\nAnswer: 100*s**4 + 28*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.61 - 0.39. Let v = -6598\/17 - -388. What is the nearest to 2 in v, -2\/5, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence puih when four letters picked without replacement from ipuuizuhizpipu?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x + 12. Let n(c) = c + 3. Let l be n(-3). Let o be s(l). Let y(b) = -13*b + 523. Let g be y(40). Solve -o = g*f, i = 3*i - f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 25, 1\/3.\nAnswer: 1\/3, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Do -5\/1687 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1440 - 1430. Let a = 10.9 - 11. What is the second biggest value in a, 0.3, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 679396?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {j: 1, m: 19}?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put together 653886.8 and -344.\nAnswer: 653542.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 696804.\nAnswer: 2, 3, 58067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*y + 24 = -35*y. Find a such that 3*a**y + 3*a + 9*a - 155*a**3 + 146*a**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*j + 116 - 446 = -0*j. Solve -j*z + 35 = -38*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 - 445?\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 23063040 and 15924480.\nAnswer: 668828160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * 1208.\nAnswer: -1208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 4*a - g = 838, -a - 5*g - 182 = 0. Let c = a + 299. List the prime factors of c.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence chuf when four letters picked without replacement from ffunfcfnhufnvhu.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 7, n: 5}. What is prob of sequence rr?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -21  (b) -5  (c) -0.08  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 173668074.3 microseconds in weeks?\nAnswer: 0.00028714959375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*c**3 - 232*c**2 + 1600*c + 4096.\nAnswer: -4*(c - 8)*(c + 2)*(c + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19215 is divided by 19190.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 3411, 4292, 7021, 12522, 21719, 35536, 54897, 80726?\n\"Answer: 154*t**3 - 197*t + 3454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 483 - 481. Calculate the greatest common divisor of s and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 27 = 7. Suppose -z = m - 5*g, -3*m + 4 = -3*g - 2. Factor 2\/9*n**2 + 14\/9*n**4 + 0 + 0*n - 2\/3*n**m - 10\/9*n**3.\nAnswer: -2*n**2*(n - 1)**2*(3*n - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25407 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 44\/(-16) - 3\/12. Let m be (-86)\/(-252) - (-13)\/(-273)*6. Put u, 0, m in ascending order.\nAnswer: u, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10172023 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (112\/63)\/8 + 1\/(-45).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 237 a factor of 458669557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20) + -3 + (sqrt(5) - (sqrt(60)\/(-2*sqrt(12)) - sqrt(5))) - (-1 + sqrt(125) + 4))**2.\nAnswer: 6*sqrt(5) + 149\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 108*h - 8 + 2 - 23*h - 32*h - 28*h - 29*h.\nAnswer: -4*h - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = 691 + 41. Let t = -240 - o. Solve 0 = -3*s + 2*v - 6, 2*s - 15 = -9*v + t*v for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**3 - u**2 - u - 1. Let k(i) be the first derivative of i**4\/4 - 2*i**3\/3 - i**2\/2 - 2*i - 5. What is k(r) - z(r)?\nAnswer: 2*r**3 - r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 147090 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 150 + 2?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 437.\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 + -41420321544?\nAnswer: -41420321541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the third derivative of 19\/15*v**5 + 0*v + 0*v**3 + 0*v**4 + 5*v**2 + 7 + 5\/24*v**6. What is the third derivative of b(a) wrt a?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 167269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 299615 divided by -12.\nAnswer: -299615\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*p + 4*p - 1650. Let r = p - 143. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5 and 1300.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 189, 273, 359, 447, 537?\n\"Answer: k**2 + 81*k + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:47 PM and 8:02 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15\/48*3176\/1985.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(52)\/sqrt(4)*-4*-2 + 0 + -6*((sqrt(13) - (sqrt(13) + 1))**2 + sqrt(13)) + 3.\nAnswer: -3 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:25 PM and 11:02 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -5177141 (base 8) to base 9\nAnswer: -2526262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:31 AM and 9:56 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**2 + 5*v - 5. Let q be 3 - (0 + 0) - (-93 - -101). Let t(l) = -4*l + 4. Calculate q*t(h) - 4*o(h).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of 29022 and 453.\nAnswer: 13146966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 117274354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1625 + 1628. Solve 5*g + 18 = 4*j, 2*j = s*g - 0*j + 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/3457 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.8 + 3.8. Suppose -2*a - 5*d = 2*a + 19, -d + 1 = -4*a. Let v be a\/((-15)\/3 - 2). Put v, 1, j in descending order.\nAnswer: j, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -4*n + 4*n - n. Let q be -21*(4\/6 - 1). Let u(s) = -9*s + 6. Let t(g) = -9*g + 7. Let p(m) = q*u(m) - 6*t(m). Determine y(p(l)).\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2 + 1 - 1 - (17 + -15). What is the remainder when (-2 + j + -101)*-1 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -6*p. Let t(i) = -3*i - i + 3*i - 2*i. Let j(n) = 3*s(n) - 5*t(n). Let d(z) = -z**2. Give j(d(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -60 - -60.1. What is the nearest to g in 4, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 502 is divided by 52?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -3*o**2 + 1. Let l(w) = 5*w**2 - 391*w + 1. Calculate 2*c(x) + l(x).\nAnswer: -x**2 - 391*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 22085635547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**3 - 12*y**2 - 15*y + 21. What is t(13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3711 - 3710.96. Suppose 4*k - q - 25 = 0, 26 - 6 = -k - 5*q. What is the third smallest value in -0.4, k, g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/10, -3\/4, 5, 2\/7, -0.4 in decreasing order.\nAnswer: 5, 2\/7, -1\/10, -0.4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes after 10:25 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -50 + 54. Let d be (2\/y)\/((-5)\/2). Let z(a) = a**3 - 3*a**2 + a - 3. Let k be z(3). Is k at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -14161\/3 + 238\/3*p - 1\/3*p**2.\nAnswer: -(p - 119)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 9, -6, -3, 10, 1, -125 in decreasing order.\nAnswer: 10, 9, 2, 1, -3, -6, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7.1 - 7. Which is the closest to 3\/2?  (a) -1  (b) -0.05  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**3 - 6*h**2 + 4*h + 6. Let t be y(5). Let l be (10 + 2)*t\/3. Let w = -4 + l. Solve 16 = 2*i - 2*o, 4 = -w*i - i - 3*o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 20\/9 in 1\/2, -6, 0.39?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -26 + 8. Let f = 22 + w. Let y(g) = 2*g**2 - 6*g - 2. Is y(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = d + 5*f + 16, 0 = 4*d + 3*f - 3 - 1. Suppose 0 = -d*l - 3*l. Which is bigger: l or -2\/39?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -2*j**3 - j**2 - j. Let k(i) = -121*i**3 + i**2 + i + 74. Let u(c) = -k(c) - q(c). Differentiate u(z) with respect to z.\nAnswer: 369*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -11540 + -43?\nAnswer: -12023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49252 = 1706*g - 20694 for g.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2248, 8646, 19206, 33934, 52836, 75918, 103186, 134646?\nAnswer: 170304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-9)\/27 - 4\/((-36)\/(-159)). Let q be (c\/12)\/(1\/((-1152)\/4)). Calculate the highest common factor of q and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/5363 and 85\/6?\nAnswer: 32178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -255*k**2 - 3*k.\nAnswer: -3*k*(85*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 6\/265 < 4587?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -122011022 (base 3) in base 4?\nAnswer: -3003131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 53974032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**2 - 5*b - 3. Let f be h(-4). Let x be (f\/2)\/((-2)\/(-16)). Suppose -y + 2 - 7 = 0. Put y, x, 5 in decreasing order.\nAnswer: 5, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a - 2*a. Suppose -2*g + 7 + 1 = a. Solve r + i - 7 = -0*r, 17 = -g*r + 5*i for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q + 2*q + 0*q + (1 + 0 - 3)*(4*q - q - 5*q))*(59*q + 30*q - 10*q).\nAnswer: 395*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 11*i**3 + 16*i**2 - 3. Let n(s) = 10*s**3 + 17*s**2 - 2. Let k(m) = 2*a(m) - 3*n(m). What is the third derivative of k(l) wrt l?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -431320 by -14.\nAnswer: 215660\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 48027.98 seconds in microseconds?\nAnswer: 48027980000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -22, -43, -66, -91, -118?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1 - (0 - (-18)\/14). Let b = -54.31 + -446.73. Let z = -501 - b. What is the closest to -1\/2 in z, g, -3\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001011000011 - 10011011100000?\nAnswer: -1010000011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3344*j - 6082*j = 9172*j + 5630*j + 1245340 for j.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + -5 + -2 + -2 + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 266 a factor of 589639008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 666734.3 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -15*j**2. Let k(u) be the first derivative of 0*u + 5\/3*u**3 - 191 + 0*u**2. Determine k(y(g)).\nAnswer: 1125*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -473 - -707. Suppose -2*y + 6 = 0, 4*f = 5*y - y + 60. What is the greatest common factor of f and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 5139, 10335, 15487, 20595, 25659, 30679, 35655?\n\"Answer: -22*d**2 + 5262*d - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 84096?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**3 - 15*a**2 - 55*a - 798. Calculate the remainder when s(-17) is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -u - 90*u + 184*u - 92*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 6786*l**2. Let o(s) = -5*s**2. Calculate y(o(h)).\nAnswer: 169650*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6467 (base 9) to base 2.\nAnswer: 1001010010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-3))**20\/(y**(-1\/2)*y*y**(-3\/10)*y) assuming y is positive.\nAnswer: y**(-306\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 + 3.4. Let d be (-3)\/(-2) + 27\/(-2). Let j be d\/2*(-8)\/(-12). Which is the second biggest value?  (a) j  (b) -0.2  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -134.5, -16, 0.08, -0.4?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -79*o + 85*o + 60 = 0 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.638 * 16.01.\nAnswer: 10.21438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1934138?\nAnswer: 2, 37, 59, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 - 3. Suppose -a + 3*z - u = 0, 2*a + 1 = a + 2*z. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 14, 32, 50, 68, 86, 104?\n\"Answer: 18*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 2 z when three letters picked without replacement from {z: 9, e: 10}.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 278769133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.07439527 rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 18\/99 - (-62)\/22. Which is the nearest to 1\/3?  (a) i  (b) 2  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2415*a**5 - 3*a**4 + 3233*a**3 - 5*a**2 - 2*a - 2973864?\nAnswer: -144900*a**2 - 72*a + 19398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*b + 35 = -19*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*g - 42*g + 3*g - 42*g.\nAnswer: -102*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 372 and 71052?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 27, 2, -2\/33, 2.5, -4 in increasing order.\nAnswer: -4, -2\/33, 2, 2.5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -21?  (a) -5  (b) 11\/2  (c) -7  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = -3*i + 10, 2*i = i + 4*b + 30. Let c(j) = j + 8. Calculate the smallest common multiple of c(-7) and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -557.191 and -1.3.\nAnswer: 724.3483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5801596 is divided by 5801595?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4012 divided by 1003.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 4, 18, 54, 124, 240, 414, 658, 984?\n\"Answer: 2*k**3 - k**2 + 3*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 93*z - 91*z + y + 19 = 0, -z + 0*y = -3*y + 6 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1984?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**(2\/3))\/(l**3*l))**(7\/8)\/((l**(-1)\/l)**(3\/20)\/((l**(2\/7)*l)\/((l\/l**(-1))\/l))) assuming l is positive.\nAnswer: l**(-1223\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 173, 2, -1, 3, -7 in decreasing order.\nAnswer: 173, 3, 2, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 2*y = -9, -4*b - y + 4 = -5. Sort -2, -12, b, 6\/11 in decreasing order.\nAnswer: b, 6\/11, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the third derivative of -f**8\/112 + f**7\/30 + f**4\/24 + f**3\/2 - 3*f**2 + f. What is the second derivative of c(z) wrt z?\nAnswer: -60*z**3 + 84*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bcrc when four letters picked without replacement from {c: 2, b: 2, r: 5}?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 18\/8 + 3\/(-12). Let d = 0 + 0.1. Let u = 0.1 - d. What is the second smallest value in -1\/3, s, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1526573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*r**4 + 14*r**3 - 58*r**3 + 5*r + 2 - 5*r**4 + 0*r + 13*r**4 in the form v*r + h*r**3 + q + f*r**2 + d*r**4 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v**2 + v**2 - v**2)*(4*v**3 - 4*v**3 + v**3) + 3*v**2 - 3*v**2 + 2*v**5 + v**3 - v**3 + v**5 + (2*v + 0*v + 4*v)*(v**4 + v**4 - v**4).\nAnswer: 11*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that -1\/2*q - q**2 + 0 - 1\/2*q**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 v when two letters picked without replacement from fchccvkkklhcckhcvc.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-6)\/(-15) + 327\/(-5). List the prime factors of d\/(-15) - 2\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 24*m + 27. Let c(p) = p + 1. What is -2*b(h) + 54*c(h)?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the second derivative of 0 - 1\/20*a**5 - a**2 + a**3 - 4*a - 1\/8*a**4. Let x(m) be the first derivative of o(m). Determine f, given that x(f) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 0 - 7*f - 8*f**2 + 0*f**3 + 8 - 3*f**3. Let x be v(-6). Round x to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-2*sqrt(2400) - sqrt(24)))\/(sqrt(392) - -6*1*sqrt(392)).\nAnswer: -3*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3 and -0.0308.\nAnswer: -0.0924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 17.8 - 22.8. Let g = -38\/33 - -20\/11. Let m = 3 + 0. What is the second smallest value in g, m, b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f - 1 + 21. Suppose -4*n + 3*p + 322 = p, 5*p + 319 = f*n. Calculate the remainder when n is divided by 2\/8 - (-166)\/8.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 10\/27 of a day?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**3 + 17*j**2 + 17*j - 3. Let s be k(-12). Let d = -263 + s. What is the greatest common factor of 25 and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 792 and 6178.\nAnswer: 2446488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -68*u - 45. Let l(c) = 13*c + 9. Determine -11*l(k) - 2*q(k).\nAnswer: -7*k - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*m**2 - 4154 - 2*m**2 + 3138 + 3573 - 1750*m**3 wrt m?\nAnswer: -5250*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/i**(1\/58))\/(i**(-1\/4)*i))\/(i**(-10)*i)**(-41))**37 assuming i is positive.\nAnswer: i**(-1582749\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**27\/(m**(-24)\/m))**(2\/25) assuming m is positive.\nAnswer: m**(104\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let 32\/11*s + 28\/11*s**3 + 8\/11 + 6\/11*s**4 + 46\/11*s**2 = 0. What is s?\nAnswer: -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -4*t**3 + t**2 + 2. Let d(o) = -5*o**3 + o**2 + 3. Suppose 5*g - 35 + 9 = 4*r, -3*r = -g + 14. Give r*c(h) + 3*d(h).\nAnswer: h**3 - h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 26\/169 + 76\/13. Find the third derivative of 199*x**2 - x**3 - 2*x**3 - 263*x**6 - 156*x**6 + 493*x**u wrt x.\nAnswer: 8880*x**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 30\/8 - (90\/(-40) + 2). Suppose 5*w = 4*n + 2575, 1237 = -j*w + 5*n + 3297. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 777*i + 198?\nAnswer: 777","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*h**3\/3 + 49375*h**2\/3 + 113492560*h\/3 + 19705939140.\nAnswer: -5*(h - 11871)*(h + 998)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -74, 3, -2\/17, -1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 3633283, 3633278, 3633273, 3633268, 3633263?\n\"Answer: -5*t + 3633288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 70615248?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - s - 148 = 0. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.0954 * -3236\nAnswer: -308.7144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 26*q - 98. Let d be z(5). Which is the third biggest value?  (a) -0.4  (b) d  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -2 - (-45 + 57 + (-9 - (-2 - 3))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 245232 and 29427840.\nAnswer: 29427840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 3*m - 10. Let y(s) = -1. Let z(r) = -2*h(r) + 18*y(r). Give z(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.7 + 0.3. Let p = 54 - 379\/7. What is the closest to f in p, -2\/11, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the first derivative of s**3\/3 + 12*s**2 - 53. Factor j(d).\nAnswer: d*(d + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 84\/49*14\/4. Let d = 10 - g. What is the third derivative of d*n**3 + 5 + 5*n**2 - 5 - n**3 wrt n?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 158825 less than -2.33858?\nAnswer: -158827.33858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:34 PM and 12:55 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 - 0.96. Let l = 0.04 - o. Sort 0.2, l, 2 in ascending order.\nAnswer: 0.2, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**2 + 16*p + 6. Let m be c(-15). Let d(n) = -n**2 - 10*n + 3. Calculate the remainder when (-2 - 30)\/(-2) + 2 is divided by d(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -37185 - -5?\nAnswer: -37180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 25856 and 202?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z**3\/3 + 3788*z**2\/3 + 7570*z\/3 + 3784\/3 = 0. Calculate z.\nAnswer: -1892, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 2*g = 5*g + 216, 0 = 5*g + 20. Suppose -o - 2*u + 29 = 0, 109 + h = 5*o - 5*u. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 1066624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 50*l - 57*l - 42 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (96\/1224)\/((-2)\/3). Let s = 69\/70 - -11\/70. Which is the third smallest value?  (a) -3\/2  (b) s  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 1014, 4, -19, 150, -1, -5 in increasing order.\nAnswer: -19, -5, -4, -1, 4, 150, 1014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-18)\/(-10)*(4 - -1). Let w(i) = -i**2 + 10*i + 6. What is the units digit of w(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 118977.\nAnswer: 3, 39659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 292 minutes before 10:34 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the third derivative of y**4\/12 - y**2. Suppose 2*q - 2*k - 4 = 0, k = q + 4*q - 10. Let d(c) = c**q - 3*c**2 - 2*c**2 + 2*c**2. Determine n(d(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -x**3 - 8610 - 8610 - 8616 + 25834.\nAnswer: -x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*l**2 + 2*l**2 - l**2)*(3 - 2 - 3) - 2 - 3*l**2 + l + 0*l**2 + l**2.\nAnswer: -12*l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 58*u + 41. Does 64 divide j(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*x = 12*x - 6*x. Solve -5*b - 3*p + 5 = -x*p, -p + 3 = b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4180032 by -116112.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -20 + 47. Let q = n + -27.2. Let i be 3\/(-4)*(-40)\/(-165). What is the closest to 2 in i, q, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 4876*o + 161066. Give p(-33).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence efs when three letters picked without replacement from besbbfeeeebsefbbee.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-7)\/(l\/(l*l**(-1)))*(((l\/(l\/((l*((l**(-1\/9)*l*l*l)\/l*l)\/l)\/l)))\/l)\/l)\/l*l\/(l*l\/(l**(-2\/3)\/l)) assuming l is positive.\nAnswer: l**(-106\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes before 9:54 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f - 6*f + 3*a - 24, -5*f + a = 50. Let o = 2 - f. Calculate the remainder when 30 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (38873 - 8811*s**2 - 38873)*(s + s - 5*s) to the form j*s**2 + i*s**3 + f + l*s and give i.\nAnswer: 26433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.16 and 120224.4?\nAnswer: 120224.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3534 and 184357.\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 2*g. Let j(x) = 22365178*x**2 + 6*x. Give a(j(h)).\nAnswer: 44730356*h**2 + 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 119912 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-6)\/4)\/((-4)\/96). Let u be (1 - 1)\/(-3 - 0). Suppose -2*o - 2*o + b = u. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -126\/11?  (a) -2\/85  (b) 1.5  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 42 - 32.6. Let j = i + -9. Which is smaller: 0.1 or j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 2*q + 11. Let m(c) = -c - 11. Let y(n) = -5*b(n) - 4*m(n). What is the units digit of y(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -13 + 25. Let b be (-2)\/(-9) - 544\/(-144). Does 13 divide 26\/(b\/n*2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 53532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r*r*r**(-1\/4)*r*r)\/r*r*r)\/r)**(1\/5)\/(r**(-1\/3)\/r*r)**(-1\/17)*(r**1)**(3\/14)*(r\/((r**0*r)\/r)*r)**(-7\/5) assuming r is positive.\nAnswer: r**(-13247\/7140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -50 + 77. Suppose -4*f + p = -13. What is the second derivative of -23*q**5 + f*q**2 + 4*q - 10*q**2 - 18*q wrt q?\nAnswer: -460*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5 - -6. Let t = z - -2. What is the first derivative of -1 - r**t - r**3 - 2 + 5 wrt r?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 38500*v**3 - 77008*v**2 + 38516*v - 8.\nAnswer: 4*(v - 1)**2*(9625*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 5*s**2 - 5*s - 4*s**2 - s + 5*s. Let c be b(0). Suppose -4*d - 38 = -5*u, c*u = -u + 5*d - 5. What is the least common multiple of 8 and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**3 + 7*p**2 + p - 9. List the prime factors of r(6).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 4325, 8653, 12991, 17345, 21721, 26125, 30563?\n\"Answer: m**3 - m**2 + 4324*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -15*n + 125. What is the remainder when 424 is divided by b(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3120 (base 6) to base 3\nAnswer: 221210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 36228*f**4 + 27*f**3 - 1245881*f**2 + 4*f?\nAnswer: 869472*f + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the third derivative of -p**5\/60 - p**4\/24 + 11*p**3\/3 - p**2 - 2*p. What is g(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**2 + 4*w + 2. Let b be u(4). Suppose -b*q + 120000 = -0*q. Round q to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 126 and 7397642.\nAnswer: 66578778","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 162918296 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 52413 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 167 minutes after 7:31 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 55*k + 264 = 59*k, 5*k + 24 = -z. Put -10, -4, z, 2 in descending order.\nAnswer: 2, -4, -10, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 16 = -7*p. Suppose p*o - 24 = -3*o + 3*u, 0 = o + 5*u + 12. Let j(i) = -3 + o + 21*i**2 + 4*i**2. Let f(k) = 2*k**2. Determine j(f(z)).\nAnswer: 100*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 4385, 4403, 4415, 4415, 4397?\n\"Answer: -k**3 + 3*k**2 + 16*k + 4367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 1, 338973 in descending order.\nAnswer: 338973, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:33 PM and 8:06 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -25760 divided by 920\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 3, i: 8}. What is prob of sequence iiii?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 37*v**2 - 9*v - 9. Let l(a) = 9*a**2 - 2*a - 2. What is 18*l(h) - 4*x(h)?\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 110203 - 3?\nAnswer: 110200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = 2*n - 6*n. Suppose 0 = 5*d + 5*f - 5, 3*d + 6*f = f + 7. Let k = d + n. Calculate the remainder when 15 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 128 and 8384.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -37001494 divided by 1?\nAnswer: -37001494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -6 divided by 1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 576806?\nAnswer: 2, 288403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**2 - 4*u - 2. Let k(a) = -766*a**2 - 24*a - 12. Give -2*k(c) + 12*t(c).\nAnswer: 1544*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: ((5\/4)\/1)\/((-10)\/1240*-31)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 13955 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3247*a - 105 = 5*n + 3243*a, -3*a = n - 74 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:39 AM and 7:56 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 6597.79 days?\nAnswer: 570049056000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -198*m + 189*m = -108. What is the remainder when 101 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.031479932 to 3 decimal places.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:06 PM and 9:45 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-90)\/4)\/(5070\/2028).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -33455116 (base 8) to base 7\nAnswer: -115320530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5  (b) -37  (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 2*u - 41. Let r be g(23). Let c be 10*2\/5 + 31. Calculate the greatest common divisor of c and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 22288347 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 + 10110100000001?\nAnswer: 10110100000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 134798980?\nAnswer: 2, 5, 41, 43, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2259, -2172, -2085, -1998, -1911, -1824?\nAnswer: -1737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*p + 6*p + 3984. Suppose 12*w - 352 = p. Let s = -740 + w. What is s rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-4\/21)*u*u**(-8\/3))**(1\/19))**(-3\/2) assuming u is positive.\nAnswer: u**(39\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 235 divide 159156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in 0.06, 30, 0, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 3 - 2 + 7*a**2 - 2. Does 13 divide h(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11216929.\nAnswer: 11216929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 2*a**3 + 4*a**2 - 3. Let h be 18\/(-24)*(40\/(-3))\/5. Let w(y) = 2 - 8*y**3 + 0 - 3*y**2 + 7*y**3 + 0*y**2. Calculate h*q(f) + 3*w(f).\nAnswer: f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100011001011011 - -101101000111?\nAnswer: -11101100010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1104338.32 - 4.47\nAnswer: -1104342.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*b = -11*b + 18259. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ofqfyfrfvqffrofoo. What is prob of picking 2 r and 1 f?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 513071.\nAnswer: 13, 61, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -16 + 5 - 6*i**3 - 4*i - 4*i**2 - 12*i**2 - 12*i**2 + 29*i**2 to u + d*i + t*i**2 + y*i**3 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 212, -1, 0.236, -2\/11, 2\/9, 4?\nAnswer: 212","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 18*w + 228. Let p be d(-13). Let z(j) = 1 + 5 - 2 + 2*j. Calculate z(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 5*g = 21, -9 = -0*u + 4*u - 5*g. Suppose -4*o - h + 103 = 2*h, o - 2*h - 12 = 0. Calculate the least common multiple of u and o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7, -10, -13, -16?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the second derivative of -7*p**4\/8 + 3*p**3\/2 + 21*p**2\/2 - 23*p. Let g(i) be the first derivative of d(i). Differentiate g(v) wrt v.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**3 - 1. Give u(5).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4239550 and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 8*c*p*x - 68*c*p + 8*c*x - 3*p*x - 8*p + 29*x + 1 wrt c?\nAnswer: 8*p*x - 68*p + 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 75079*z**2 + 1093*z + 1. Let u(n) = -n**2 + n + 1. Let r(g) = -j(g) - 3*u(g). Factor r(c).\nAnswer: -4*(137*c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 31 - 28. Suppose -2*c = 5*r - 4, -2*r = h*c + r - 6. Factor -3\/5*s**3 + 0 + 3\/5*s + 0*s**c.\nAnswer: -3*s*(s - 1)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -5103, -5150, -5197, -5244, -5291?\n\"Answer: -47*r - 5056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d + 32*d + 72 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*m**4 - 220*m**3 + 3630*m**2 - 26620*m + 73205.\nAnswer: 5*(m - 11)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -2*r**3 + 7*r**2 + 5. Let j(p) = -p**3 + 3*p**2 + 2. Let s(i) = i**2 + 8*i + 2. Let n be s(-8). Suppose n*d - 36 + 8 = 0. Calculate d*j(k) - 6*m(k).\nAnswer: -2*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2846568*z**2 + 2*z**3 + 2846568*z**2.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f = -f. Let h be -1*(f - -2) - -7. Sort h, -2, 4 in ascending order.\nAnswer: -2, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -72 or 434934?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 6*t**2 + 3*t + 1. Let p(f) = -19*f**2 - 10*f - 3. What is -2*p(l) - 7*v(l)?\nAnswer: -4*l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -351, -555, -625, -495, -99, 629?\nAnswer: 1755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -b*o**2 - 16*b*o + 55*b - 53644630*o**2 - 3*o - 523 wrt o.\nAnswer: -2*b - 107289260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -853984428 divided by 213496107.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is a in -2*a**3\/7 - 106*a**2\/7 - 1024*a\/7 - 1640\/7 = 0?\nAnswer: -41, -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:26 PM and 6:21 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*s**5\/9 - 40*s**4\/9 + 52*s**3\/9 + 8*s**2\/3 - 2*s = 0. What is s?\nAnswer: -1, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 divided by 17.\nAnswer: 11\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1074 + -1034. Calculate the highest common divisor of r and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3694 + -7?\nAnswer: 368c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -393 - -397. What is the closest to 0.1 in v, 120, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 4*q + 24 = 0. Suppose 5*z = -q - 2. Let u(d) = 9*d - 1. Let j(c) = c. Let f(r) = -3*j(r) + u(r). Determine f(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = 0, -5*o = -p - p. Suppose -4*r + 2*a + 2*a - 320 = p, 3*r - a = -238. Let z = 2 - r. What is the highest common divisor of 9 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -2\/5, 3, 1\/3, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3 - -12. Let x(y) = y**2 + 11*y + 1. Let d be x(-10). Let o = h + d. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4257654?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1 + 2 + (-12 + 4 - -5). Which is greater: n or -1\/64?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 2*r + 24. Let k(i) = i + 1. Let j be k(-7). Let w = 77 - 32. Calculate the remainder when w is divided by v(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60800353 to the power of 1\/4, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pphhhpphhhpphhhhhh. What is prob of picking 3 h?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -27, -4, 8, -1, 1, 2, -6 in descending order.\nAnswer: 8, 2, 1, -1, -4, -6, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2268 + 2263. Suppose 4*p + 45 = -51. Sort r, p, 4 in ascending order.\nAnswer: p, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the third derivative of r**8\/1680 - r**7\/1050 - r**6\/200 + r**5\/60 - r**4\/60 - 29*r**2. Solve f(q) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.055927l in millilitres?\nAnswer: 1055.927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18826, 18833, 18842, 18853?\nAnswer: 18866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1 - 2)*44\/(-6). Let c(b) = b**3 + 26*b**2 - 2*b - 30. Let h be c(-26). Calculate the highest common factor of w and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**3 - h**2 + 9*h - 27. Let u be o(-6). What is the third derivative of 335*r - 335*r + 181*r**6 + u*r**2 wrt r?\nAnswer: 21720*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -64 + 66. Let w(m) = 12*m + 29. Let r(f) = -13*f - 30. Let t(z) = a*r(z) + 3*w(z). Differentiate t(x) with respect to x.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/3, 102, 5?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 8261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -2 + 4 + -27 + (7 - -31)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 22 + 102 = 0. Let c = 268 + -505. Let n = 267 + c. Calculate the least common multiple of k and n.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 61\/16, -3, 12597?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*p + 72 = 9*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 divided by -75.\nAnswer: -13\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 39615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -3477.412, 1, -5 in ascending order.\nAnswer: -3477.412, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 499 divide 572852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 527472 a multiple of 407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 3728820061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*w + 110 = 22 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -6 + 14 + -11 + 6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-2\/9)*o*o)\/o*o*o*(o\/(o*o**0))\/o*o)**(-11\/5) assuming o is positive.\nAnswer: o**(-55\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v + 1. Let i(x) = 8*x**3 - x**2 - 2*x - 1. Calculate i(n) + j(n).\nAnswer: 8*n**3 - n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -22 divided by -424\nAnswer: 11\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 39 divided by -3\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 3 r when four letters picked without replacement from uururkrutrrnnruuk?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + b = 0. Suppose b = 2*r - r - 9. What is the remainder when r is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 2*b + c, 4*c + 6 - 21 = -b. Solve 4*d + d = b*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) -2\/19  (b) -0.11  (c) 3  (d) -2  (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 4*t. Let h(g) = -3*g + 1. Calculate p(h(l)).\nAnswer: -12*l + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 1 - 2)*(1413*i - 112*i + 157*i)*(3*i + 0*i - 2*i).\nAnswer: 2916*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o + o + 168. Let i = o - 24. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/4*(-50)\/75\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 + 1. Let s = -2778.4 + 2779. Let z = -0.3 - -0.4. What is the closest to z in i, 2\/17, s?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3*-471046\nAnswer: 141313.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-4)\/(-6))\/((-4)\/(-6)). Suppose 308 = -5*c + 318. What is the closest to c in -1, w, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 4 + 1183*y**3.\nAnswer: 1183*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the third derivative of l**4\/24 - l**3\/6 - 2*l**2. What is the remainder when 16 is divided by z(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.06?  (a) 0  (b) 274\/3  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 27987 and 285514045.\nAnswer: 856542135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 5 = 3*m - y, -5*m + 4*y - 20 = 0. Determine c, given that 2*c**4 - 3*c + m*c**4 + 3*c**2 - 76*c**3 - 5*c**4 + 79*c**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.298381ml to litres.\nAnswer: 0.006298381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 86 + (1 - 4) - (25 - (1 + 31 + 1)).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, d: 5, j: 3}. What is prob of picking 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1095409 - 13*v + 191*v - 1095408.\nAnswer: 178*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111138.8km to millimeters.\nAnswer: 111138800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*i + 40*i = 1794. What is the remainder when i is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 95 and 10849?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1902281, -1902349, -1902417, -1902485?\nAnswer: -1902553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together 16.1624 and 1303392.\nAnswer: 1303408.1624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**2 + o + 1. Let p(v) = -85*v - 9*v**2 + 73*v + v**2 - 8. Let f(n) = 12*d(n) + p(n). What is the derivative of f(r) wrt r?\nAnswer: -40*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 7 + 1 = 2*g, -3*q - 12 = 0. Solve 7 = 3*d + x, -2*x = g*d - x - 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.648 rounded to two decimal places?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22040214 is divided by 177.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**3 - 6*y**2 + 8*y + 9. Let v(t) = 2*t**3 + t**2 - 3*t - 1. Let m be v(-2). Let b be s(m). Solve 4*d - 3*d = 5*w - 19, 2*d - w = -b for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 123264 and 4258386.\nAnswer: 1926","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -637, -4176, -10059, -18274, -28809, -41652?\nAnswer: -56791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 494 - 315. What is the third derivative of -g*r**4 - 3*r**2 + 191*r**4 - 8*r**2 wrt r?\nAnswer: 288*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1313062428?\nAnswer: 2, 3, 9539, 11471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 64.10386 millennia?\nAnswer: 769246.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 5*c - 2 = 0, 0*c = m - c - 2. Suppose 0 = 2*j - 12 + m. Solve -2*a - a + 11 = 2*k, -5*a = -j*k + 11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 175 = 376*q - 3006 + 1995 - 3326 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -57 (base 16) to base 2.\nAnswer: -1010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*n**3 + 9732*n**2 - 2945451*n + 11625900.\nAnswer: 3*(n - 275)*(n - 4)*(n + 3523)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.5 + 0.7. Let j = 0 - h. Which is the closest to 0?  (a) 5  (b) -3\/4  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a*a\/(a**(-3\/5)\/a*a)*a**5*a\/(a\/a**(-7\/2)*a)*((a*a*a**(-2))\/a)\/a)**(1\/11) assuming a is positive.\nAnswer: a**(21\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve o - 11 = 3*c, -c - 7*o = -4*o - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 175815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xa when two letters picked without replacement from {a: 3, x: 5}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 32353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 336, 332, 328, 324, 320?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*h - 2*h + 0*h)*(-h + 0*h + 4*h**4 + 20*h**4).\nAnswer: 24*h**5 - h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55 - 26 = 3*k. Let c = k + 27. Suppose -5*d = -4*o + 10, -2*o - o - 15 = 0. Sort c, d, -5.\nAnswer: d, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10*i**5 + 17*i**3 + 19*i**2 + 4*i wrt i.\nAnswer: 600*i**2 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 - -1. Suppose -3*f + 32 = -c + 6*c, -m*f = 2*c - 28. Suppose 0 = g - 4*y - f, -g + 3*g + 5*y = -1. What is the greatest common divisor of 28 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24981 is divided by 966?\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 90625 and 145.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b**2. Let d(m) = -103*m**3 + 3*m**2. Calculate -3*a(t) - d(t).\nAnswer: 103*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1298183*j**5 + 2059240*j**2?\nAnswer: -77890980*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6775 and 493701025?\nAnswer: 6775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-14)\/2)\/((-14)\/(-14)). Let g be (-2)\/u - 228\/(-84). Suppose -2*m - 110 = -g*f, 63 = 2*f - 4*m - 5. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 398*p - 394*p - 14 = 2*g, 3*p - 12 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -5, 1\/2, -0.4, -5\/3, 3\/10, -2589?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -134 - -193. Let t be (11\/(-2) - -1)*-8. Let j = y - t. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tbmrctff. Give prob of sequence tr.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -36 + 31. Put i, 4, -2 in ascending order.\nAnswer: i, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 - 271610\nAnswer: -271603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w**3 - 2*w**2 - 4*w. Let k be d(3). Let y be ((-3)\/5)\/(k\/75). Suppose 5*c + 0*c - y = 0. Calculate the greatest common divisor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 16\/7 of a week?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -18 + 26. What is the smallest common multiple of n and 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 2 = -4. Suppose -w*j = -2*j. Suppose j = -3*f - 4*h + 24, 0 = -f - 3*h + 5*h - 2. Solve 25 = i + f*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 3\/7 of a week?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 434*7517\nAnswer: 3262378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -34 - -38. Let w(j) = -j**2 + 10*j - 20. Let m be w(x). Solve m*f - 20 = 0, 1 = -5*t + 4*f - 14 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 97 = 121. Suppose -q*w + 69 = -51. Let l = 59 + 17. Calculate the remainder when l is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 2*w + w - 545, 0 = 3*w + 3*d - 570. What is the remainder when w is divided by ((-60)\/(-1760)*(-143)\/(-39))\/(1\/536)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -2*c. Let k = 33 + -18. Let s = 9 + 6. Let i(j) = -k - 7*j + s. Give l(i(z)).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**2 + 4*k + 29. Let x be y(0). Suppose 0 = -8*p + x*p - 105. Solve 2*g = g + 5*f + 29, -p*f - 25 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4848 + -3096. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - -18) + -17 + -29 + 43.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -23021*c + 8287557. What is o(360)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (g**2 - g**2 + 2*g**2)*(-1 + 1 + g) + (g + g - 8*g)*(-3*g**2 + 2*g**2 + 2*g**2) - 169 + 10*g**3 + 169 to u*g**2 + r*g**3 + y*g + i and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 118 divide 31786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 4 = z. Suppose -4*p + 6 = -4*l - z, -5*l = 5*p - 40. Solve 2 + 2 = 2*m + 2*i, -l*i = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 222111210010 - 0?\nAnswer: 222111210010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 minutes before 11:48 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w**4 + 2*w**2 - 2*w**2)*(0 + 0 - 2)*(-95*w + 488 - 197*w - 490).\nAnswer: 1168*w**5 + 8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7958.251l?\nAnswer: 7958251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(-21))\/(40\/210)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 94213 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 215*n = -1510 + 5 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 3*b - 11. Let i be 1*5*(b - 1). Is ((-165)\/i)\/((-1)\/5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 8) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b + 5*w = 0, 5*b - 100 = 4*w - 97 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**3 + 6*z**2 - z - 3. Let v be 51 - 50 - (0 + 7). Calculate o(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -17951\/4 + 502657\/112. What is the common denominator of -75\/22 and r?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**3 - 4769*q**2 + 57361*q - 52591.\nAnswer: -(q - 11)*(q - 1)*(q + 4781)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-3210)\/856*(6\/(-10))\/(39\/208)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3 - 14?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 16048, 9506, 2964, -3578?\n\"Answer: -6542*a + 22590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-67066 + 21699 + 21134 + 2*j + 22213)*(3*j + 0*j - 4*j).\nAnswer: -2*j**2 + 2020*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 1 - 78*t + 40307*t**3 - 3.\nAnswer: 40307*t**3 - 78*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p - 2 - 10 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**(-1)*q**(-6\/5)\/q*(q**(-1\/5))**(-45))**(2\/3) assuming q is positive.\nAnswer: q**(88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1941264 and 29016?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -4*y**2 - y - 6. Let v be j(4). Let h be v\/14 - (-4)\/14. Let n = -20\/99 - -2\/99. Which is the third biggest value?  (a) n  (b) h  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -212*x**2 + 137 - 274 + 214*x**2 - 237 - 148.\nAnswer: 2*x**2 - 522","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 158190778 times -0.6\nAnswer: -94914466.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*g = 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s - 3*s = -9. Suppose n + s*w = 3*n + 10, -w = -n - 4. Sort 2\/5, n, -1\/2 in decreasing order.\nAnswer: 2\/5, -1\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-24)\/15)\/(5\/(-150))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1593 and 2595469?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 15256507*k**2. Let v(l) = l. Give v(f(u)).\nAnswer: 15256507*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2 + 3 - 5\/4. Let f = 5.98 + -5.68. Sort f, -5, v in increasing order.\nAnswer: -5, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -18*l**2 - 108*l. Let p(s) = 15*s + 4*s - 18*s - 65 + 65. Calculate p(k(o)).\nAnswer: -18*o**2 - 108*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/((y**8*y)\/y))**(-1\/3)\/((y\/(y**(-5\/4)*y))\/y**(-2\/3)) assuming y is positive.\nAnswer: y**(5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1848 is divided by 269?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*sqrt(32)\/sqrt(4)*-6*-6.\nAnswer: 216*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1244893 is divided by 1283.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from {b: 1, k: 17}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -n**3 - 4*n**3 + 4*n**3 + (0*n**2 + 4*n**2 - 2*n**2)*(-2*n + 10*n - 3*n).\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 5*u**2 + u + 3. Let z(k) = 5 + 6*k**2 + 3*k**2 - 9*k + 11*k. Let r(m) = 5*v(m) - 3*z(m). What is the second derivative of r(y) wrt y?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 5*y = -0*y - 17, -2*y - 5 = -f. Solve -f = k + 1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, f: 7, n: 2, r: 2, y: 4}. Give prob of picking 1 f and 1 y.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3\/2, -0.3, -1234457?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the third derivative of -p**6\/120 - 3*p**5\/20 + p**4\/6 + 11*p**3\/3 - p**2 + 506*p. Determine c(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 419427 is divided by 49?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -234?  (a) -25  (b) -2\/7  (c) 17.8  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 9*x**2 + 5*x - 4. Let w(g) = -10*g**2 - 5*g + 5. Let m(a) = 5*f(a) + 4*w(a). Find s, given that m(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 213132 to the power of 1\/2, to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 478276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -231\/4 + 58. Which is the nearest to 1?  (a) q  (b) 4  (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2607 rounded to 2 dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 29832123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 349873 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is n in -722*n**4 + 1596836*n**3 - 903439074*n**2 + 22686165008*n - 145726569248 = 0?\nAnswer: 13, 20764\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/(-75)*(9 + 2448\/(-255))\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -67114*z**3 + 218421*z wrt z.\nAnswer: -402684*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 168991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -56.1700018932 - -56.17. What is z rounded to seven decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1914558 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(468)\/(3*sqrt(9)*-2))\/(sqrt(8)\/(sqrt(4)\/sqrt(2) + sqrt(2)) - sqrt(16)*3).\nAnswer: sqrt(13)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5 - -4. Let r = 7214 + -7210. Which is the smallest value?  (a) r  (b) o  (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the first derivative of -317*r**3\/3 + 127*r + 2025. Differentiate y(i) with respect to i.\nAnswer: -634*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -6117.7207 and 1.\nAnswer: -6117.7207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2\/5, -2166, -3\/8.\nAnswer: -2166, -2, -3\/8, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -2 + 0\/(1 + 1). Let a(k) = -3*k - 2. Let o be a(t). Suppose -o*u + 39 = -u. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes before 5:27 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -946181*z**2 + 2837250*z**2 - 944887*z**2 - 946180*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the second derivative of h**5\/20 + 19*h**4\/6 + 19*h**3\/3 + 17*h**2 - 5*h - 46. Give i(-37).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-2\/3))**14*(z\/(z\/(z\/(z\/z**(-1\/6)))))\/z*z**(-8) assuming z is positive.\nAnswer: z**(-37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 2*a = 4. Suppose 5*s - 7*s = -10. Let t be 451\/143 - (-4)\/(-26). Sort a, t, s.\nAnswer: a, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = 2*l + 4. Let o(i) = -3*i**3 - 4*i**2 + 5*i - 7. Let w be o(-5). Suppose -w = -l*t + 5*t. Round t to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + g**2 + 1)*(0*g + g - 3*g) + (0 + 0 - 4*g)*(-3*g**2 + 4*g**2 + g**2).\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -908*d**3*g**2 + 456*d**3 + 2*d**2*g**2 + 2*d**2 - 5*g**2 - 38 with respect to g.\nAnswer: -1816*d**3*g + 4*d**2*g - 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 45 - (3 - (3 - 4) - (11 - 13))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 841 and 5104?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*l = 5*l - 2*w + 68, 4*w = 8. Calculate the remainder when l is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8305094315.\nAnswer: 5, 7, 237288409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -1596408 (base 11) in base 6?\nAnswer: -134122555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 2*i + 6. Find the third derivative of -3*m**i + m**4 + m - m wrt m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.2 - -2.6. Let x = t - 0.4. What is the nearest to x in 0.4, 0, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 + 8 + 0)*2\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 3*b = 3*a + 10, a = 4*b - 7. Put a, -5, -4, -2 in descending order.\nAnswer: -2, a, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 3*d**2 - 27*d + 4. Calculate i(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 1 d when three letters picked without replacement from {p: 1, s: 1, g: 1, t: 1, d: 1, w: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -152.5 - -210. Let w = x - 58.1016. Let l = w + 0.6. Round l to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 11*d**3 - 102*d**3 - 98*d**3 + 501*d**2 - 386*d**3 wrt d?\nAnswer: -3450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -205.4 - -188. Let d = h - -91.4. Let f = d - 73.9897. Round f to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 95\/49354 and -89\/20?\nAnswer: 493540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*a = 23*a + 20. Let t(l) = -l - 3. Let u(b) = 3*b + 10. Determine a*u(z) - 14*t(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 3 - 1)*(0 - 1 - 1)*(-3*n**2 + 4*n**2 - 3*n**2) + 2*n**2 - 3*n**2 + 2*n**2 in the form m*n**2 + f*n + h and give m.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.446 * 72301\nAnswer: 32246.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100111010000011010 + 10000110?\nAnswer: 100111010010100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a millennium in decades?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from ddffdwdfwfffdddf?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*o**3 + 206593614 - 206593614.\nAnswer: 28*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a + 8 = 2*g, -a + 4 = 5*g + 28 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24\/48*-2*10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 9*j - 8. Let n be z(8). Suppose t - 4*t + 3*r = -36, -4*r + 64 = 3*t. Calculate the greatest common factor of n and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 86 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -9\/2 in -8, 49, 3, 8, -6, 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 149*m + 446. What is z(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -35\/1816 and 49\/2724?\nAnswer: 5448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -142 by 2.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = 152 - 17. Suppose 6*c = 3*c + i. Calculate the highest common factor of c and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-22)\/55)\/(12\/(-30))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -45\/14, 4\/7, 61, -1\/6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:32 PM and 7:39 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 6338828701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -7*d + 3. What is f(3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.079  (b) 1\/16  (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 684 = -n. What is the remainder when n is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 2 + 5 = 0. Let x(u) = 3*u**2 + 2*u - 2. Let g(a) = a**2 + 628 + 4*a - 4*a - 628. Calculate k*x(q) - 4*g(q).\nAnswer: -q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6 - 2. Let v(w) = -w**3 + 4*w**2 + w - 2. Let l be v(c). Solve -7*m + 4*m = -3*h, -4*h + l = -3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3.3 + -3. Let x = -0.1 - o. Let q = -4.879 + -0.121. Sort q, -2\/11, x in descending order.\nAnswer: -2\/11, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 172517615513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3806423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/8998 and -101\/792.\nAnswer: 323928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4 + -4 + 22\/2. Sort 2, 6, q.\nAnswer: 2, 6, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1127 and 4037306?\nAnswer: 92858038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 319 = l, 3*w - 190 = 5*w - 5*l. Let f be (-2)\/8*-2 - w\/14. Solve 25*y - f = 29*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f\/(f*f*f\/(f**8\/f))*f))\/f**(1\/42) assuming f is positive.\nAnswer: f**(-211\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.15, -13.6, -76, 0.06, 7?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*k - 3*k + 7*k + (-2 - 6*k + 2)*(4 - 2 - 1) + k + 4 - 1 - 2.\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -3291a (base 16) to base 6\nAnswer: -4234534","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5 and -0.133?\nAnswer: 0.665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**3 - 17*z**2 + 20*z + 3. Let f be i(16). Suppose 430 = 3*r + 2*r. Let v = r - f. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 148612117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 11, z: 3}?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 10452 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 178352 is divided by 59369.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*w**4 - 488*w**3 + 347838*w**2 - 2415428*w + 3443440 = 0. Calculate w.\nAnswer: -559, 2, 5, 308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -117 and -0.1.\nAnswer: 11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/4)\/((-3)\/18). Let u = -38800 - -38795. What is the nearest to 1\/4 in v, u, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 918434553 divided by -173913?\nAnswer: -5281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 (base 15) in base 9?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence py when two letters picked without replacement from {u: 2, p: 1, g: 5, y: 1, m: 1, b: 5}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 294*f - 63*f + 247*f + 23575 - 5889 for f.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 545491, 1091003, 1636515, 2182027, 2727539, 3273051?\n\"Answer: 545512*l - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 13857900 divided by 6928950?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(3) - (-3 + 1*sqrt(3)))**2 + -3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -36, -36, -34, -30, -24?\n\"Answer: q**2 - 3*q - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -17*s - 130. Calculate n(0).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*r + 0*r + 65 = 7*r. Let f(o) = -o**3 - 6*o**2 - 3*o + 7. Let y be f(-5). Let g be (9\/y)\/(3\/2). Sort r, g, 0 in descending order.\nAnswer: 0, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1671421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q**2 + 10324*q + 10322 = 0. Calculate q.\nAnswer: -5161, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 85648395 divided by 4078495.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -20*p. Let m be k(-1). Let v be -6 + (0 - m\/(-5)). Let l = v + 9\/4. Which is the closest to 0.1?  (a) l  (b) 1\/5  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 5*f**2 + 3*f - 3. Let r(a) = -65*a**2 - 40*a + 40. Let w(y) = -3*r(y) - 40*v(y). Let q(x) = 2*x**2. What is q(w(i))?\nAnswer: 50*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1*((-534)\/(-7))\/((-30)\/(-105)) and 30.\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from fwwwwwfw?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*c - 44 = 18*c. Sort 4, -7, c, -1.\nAnswer: -7, c, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m**2 - m + 1. Let g(d) = -6*d - 1. Suppose o = 3*l + 2, 4*o = -68*l + 72*l + 24. What is l*z(x) - g(x)?\nAnswer: -2*x**2 + 4*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -304 - -307. Suppose 2*u = 3*u - 4, -l*s = -4*u + 1. Solve -s*p - 6 = -1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 2*s**2 - 20*s - 3. Let c be g(10). Let v(x) be the third derivative of -x**6\/120 - x**5\/30 + x**4\/6 + 2*x**3\/3 - 2*x**2. Determine v(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 - 6. Put v, 5, -4 in ascending order.\nAnswer: -4, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i**3 - 9*i**2 - 11. Let h be n(-9). Let w(p) = -2*p - 20. Let a be w(h). Solve -a*l + 10 = g, -g = 2*g - 4*l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -70502 not equal to -2697?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 4 - ((-9)\/(-48) + 2391*(-11)\/(-528))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1857438 + -3.3516128?\nAnswer: 1857434.6483872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1645 is divided by 206?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3.3 and -79562.\nAnswer: 262554.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -659.0181276 to one decimal place.\nAnswer: -659","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -3*m**2 - m**2 - m**3 + 1771*m - 1766*m + 3. Suppose -3*a = 2*a + 25. Determine g(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 453 - 448. Let q be (-162)\/(-8) + (-1)\/4. What is the highest common factor of s and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1936 = -436*v + 11580 for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2\/15*a**4 + 2\/5*a**2 + 4\/15*a**3 + 0*a + 0 = 0. Calculate a.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 18 = 3*u, 3*u + 7 = y - 15. Let h = -478\/35 - -229\/14. Find the common denominator of (-483)\/60 - (-2)\/u and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 6 = -p, p + 0*p + 2*d = 14. Suppose 12232*j = 12252*j - 120. Calculate the lowest common multiple of p and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -24780  (b) -16.98  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -36*q + 31*q. Suppose 0 = -q*b - 5*y + 23, 9*b - 5*b - 10 = 2*y. Calculate the remainder when 20 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8\/7*f + 0 - 6\/7*f**3 + 16\/7*f**2.\nAnswer: -2*f*(f - 2)*(3*f - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 15 - 13 + o + 2*o**2 + 6*o - 4*o**2 - 8. Calculate i(6).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-4)\/3 - 0)\/((-18)\/27). Suppose l*c = 2*z + 986, -5*z = c + c - 965. Suppose -484 = -2*x + c. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**4 - 166*d**3 + 6567*d**2.\nAnswer: -d**2*(d - 33)*(d + 199)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -219*d**3 + 139*d**3 + 1653*d - 761*d**4 + 80*d**3 wrt d?\nAnswer: -9132*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkhkkhkkhkkhhhhhkhkk. Give prob of picking 2 k and 1 h.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1325 - 2647\/2. Do l and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 4, 0 in decreasing order.\nAnswer: 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0 + (2 - 3) + (-2)\/(-6). Let q = -180\/13 + 527\/39. Which is the third biggest value?  (a) t  (b) 0  (c) q  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15890 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = -5*q - 2*j, -603*q = -606*q + 9*j - 45 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**3 - 8*p + 2. Let s be j(3). Suppose 3*z - 6 = 0, 0 = -s*f - z - 5 - 3. Which is the third biggest value?  (a) f  (b) 0.6  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1780893)\/24069 + 64\/(-7232)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -280467*g. Let s(o) = -14*o. Determine l(s(f)).\nAnswer: 3926538*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 5 + 1)*((3 + 3 - 4)*(1 + 2*g - 1) + 4 - g - 4 + (-4 + 4 + 2)*(3 - 2*g - 3) - 3*g + 0*g + 2*g).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.521  (b) 3  (c) -0.03  (d) -2  (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1909.6 + 1910. Let x = 6 + -5.7. Let k = x + 0.2. Which is smaller: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 83*p - 2923472 = -2919322 for p.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -125355 (base 6) to base 10\nAnswer: -11591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((4 + sqrt(612) + 0 + sqrt(612))**2 - (sqrt(612)*-1 + sqrt(612))*5 - (-2 + sqrt(612) + -1 + sqrt(612) + ((sqrt(612) + 1 - sqrt(612))*-3)**2)) + 0.\nAnswer: 84*sqrt(17) + 2462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the first derivative of l**5\/30 + l**4\/24 - 11*l**2\/2 + 13. Let s(k) be the second derivative of q(k). Let d(j) = j + 1. What is -2*d(g) + s(g)?\nAnswer: 2*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*k**4*n**3 - 79*k**3*n**3 + 2*k**2*n**3 + 34*k**2 - 4*n**3 wrt k.\nAnswer: 48*k*n**3 - 474*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -4*g**2 - 11468*g - 8219664 = 0.\nAnswer: -1436, -1431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 1 - 5 + 30659*g - 15267*g - 15267*g.\nAnswer: 125*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4.6559 + -4.614582. What is j rounded to four dps?\nAnswer: 0.0413","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1210654 is divided by 1142?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 + 0 - 2)*(2*v - v + v) + v - v + v)*(-46*v - 8*v - 7*v).\nAnswer: -183*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = 2*o - 2*q - 25 - 35, -o + 108*q - 104*q = -136 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2816, -11109, -24932, -44285, -69168?\n\"Answer: -2765*f**2 + 2*f - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3687 = -604*w - 719*w - 42054 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a + 5*a + 2*v - 2096, -4*a + 2808 = -4*v. Sort a, 2, -0.2 in decreasing order.\nAnswer: a, 2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4.8 + 0.8. Let m = p + -1. Which is the second biggest value?  (a) -1  (b) 3  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -372*n + 2956. What is b(8)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/((w*w\/((w*(w*w*w**0)\/w)\/w))\/w))\/w*w*w**16*w*w assuming w is positive.\nAnswer: w**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:06 PM and 7:48 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.4 - 1.4. Let g = -0.06 + 0.46. Let n be ((-1426)\/230 + (6 - 1))\/(3\/10). Which is the closest to q?  (a) -3\/7  (b) n  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 74 - 71. What is the closest to -2\/5 in 2\/5, y, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 123490*n - 246979. What is f(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 3 - 1 + 2022*h + 2 - 241*h)*(341 + 38*h - 341) to the form a*h + l + i*h**2 and give i.\nAnswer: 67678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**3 + 12*a**2 - 13*a + 2. Let g be b(10). Let c be (5\/2)\/(30\/g). Factor 7 + 3 - c*j**3 + 2*j**3 - 10*j**2 - 5*j + 9*j**3.\nAnswer: 5*(j - 2)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-2)\/1)\/6)\/(-2*-1*286\/(-7488)).\nAnswer: 48\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 13 + -11 + 0 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 613997262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n**4 + 5*n**3 - 4. Let t(b) = b**3 - 1. Let h(c) = 5*t(c) - z(c). Differentiate h(d) wrt d.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21153 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -972, -3950, -8938, -15948, -24992, -36082, -49230, -64448?\nAnswer: -81748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 2 v when three letters picked without replacement from evamxxxmmymvyyx?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 14164.69 - 14260. Let k = 96 + s. What is k rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -45 + -18.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t = 5*k + 5, -4*t + 3*k + 7 - 4 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 355139463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67 = 4*d - 15. Let k be ((-3)\/(-10))\/((-3)\/d). Suppose -20 = 5*m + 5*v, -3*m - v + 6 = 10. Which is greater: m or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 + -6 + (-7 - -14) + 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in -0.2, 11, 0, -103?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -657120.63 rounded to the nearest one hundred?\nAnswer: -657100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:34 PM and 10:18 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-287 - 41 - 101)*(2*t**3 + 3*t**3 - 13*t**3).\nAnswer: 3432*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, t: 2, c: 7, q: 8}. Give prob of sequence qtc.\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 5*t**3 + 2*t**2 + t. Let y(l) = l**3 + l**2. Determine -v(g) + 4*y(g).\nAnswer: -g**3 + 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41*s**3 - 10*s**3 - 65*s**3 - 11*s**3 + 5*s**3.\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -110 + -442420322?\nAnswer: -442420432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 + (-2 + (-2020)\/(-90) - (31 + -18)).\nAnswer: -50\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11890 divided by -5945.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00003305163 to 7 dps.\nAnswer: 0.0000331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 85962 (base 10) in base 15?\nAnswer: 1a70c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 60\/50*(-1)\/(-2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:38 AM and 9:09 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 14 = 6. Suppose -2*i + 0*d + 12 = -4*d, 0 = d + 3. Which is the nearest to i?  (a) -1  (b) j  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3570*h**2*j*p**2 - 2*h**2*j*p - 43*h**2*j + h*j*p**2 + 496*h - 224*j wrt h?\nAnswer: -7140*j*p**2 - 4*j*p - 86*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 230, 512, 902, 1454, 2222, 3260?\nAnswer: 4622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -3, 25, 3, 5125\/4 in increasing order.\nAnswer: -3, 0.2, 3, 25, 5125\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4a - 8807?\nAnswer: -8854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2 - 44?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n - n - 3*n)*(3*n + 0*n - n) + (3*n - n - 3*n)*(-4*n + 2*n + 0*n) + 5*n**2 + n**2 + 0*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -140 + 125. Let y = 1 - 19. Let j = a - y. What is the third smallest value in -2\/3, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 147880, 295714, 443506, 591256, 738964, 886630, 1034254?\nAnswer: 1181836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**13\/a)**(-42) assuming a is positive.\nAnswer: a**(-504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 49, -3 in descending order.\nAnswer: 49, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.2 and -147.\nAnswer: 29.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -54165 - 5762?\nAnswer: -62147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -1 + (4 - 0) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 6*(sqrt(99) + 1 + -5))**2 + (sqrt(66) - ((-1*sqrt(66) - sqrt(66)) + sqrt(66))*4)\/(-3*sqrt(150)).\nAnswer: -2161*sqrt(11)\/3 + 3964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**2 + v - 4. Suppose -2*p - p + 9 = -d, -2*p = -2*d - 6. Determine o(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 21 + -40. Let k = h + 9. Let m = k + 14. Solve -g + 0 = m for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 53373\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -2*i. Let t(w) = w + 457. Determine t(c(x)).\nAnswer: -2*x + 457","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*u + 36 - 6. Find the second derivative of u*w**2 + w**4 + 3*w - 2*w**2 - 3*w**2 wrt w.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 21 and 1.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -10.1 - 2.9. Let k = o + 12.6. What is the closest to k in 0, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 824772 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/(-2) - ((-1815)\/(-312))\/11. Let n = t + -193\/520. What is the nearest to 1 in 1\/3, n, -3\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-8)\/(-4))\/((-16)\/6))\/((-12)\/160).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4749.778 weeks to nanoseconds.\nAnswer: 2872665734400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3 - 1 - 15*(-12)\/15. Let s = -9 + 11. Let o(v) = -5*v + 7. Let x be o(s). Sort x, b, 4.\nAnswer: x, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y**3\/3 + 20363*y**2\/3 - 115316*y + 447612 = 0. What is y?\nAnswer: 6, 11, 20346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 2 - 343*m - 3.\nAnswer: -343*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 970 = 3*z. Suppose -5*o - 5*i + z + 6 = 0, -2*o + 62 = -4*i. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/6  (b) 551  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 14*c**2. Let s be ((6\/3)\/2)\/(3\/30). Let r(w) = 3*w + 4. Let j be r(s). Let d(l) = -19*l + j*l - 16*l. Determine m(d(h)).\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*i + 13*i = -255. Suppose 5*x - 2*q - 2*q = i, 4 = 4*q. Solve 3 = -3*p - 3*a, a + x = 2*p + 2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.02 + 5.02. Let a = 9 - s. Is a < 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 4  (b) -4  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 32 and 4272.\nAnswer: 8544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*t + v - 30 + 27, -5*v = t - 36 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -2\/3  (b) 1\/3  (c) -0.3  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -4*t**3 - 104*t**2 - 27*t + 22. Is i(-39) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -13 - -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/(-3)*27\/72. Let y = -39\/2 + 19. What is the closest to o in y, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*z + 23*z - 54*z + 14*z**2 - 12*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(170)\/sqrt(5))\/((sqrt(2) + sqrt(4)\/sqrt(2))*3).\nAnswer: 5*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**3 + 321*q**2 + 2505*q + 2. What is p(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 8a7 - -29a?\nAnswer: b52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2182*p**2 + 174*p**2 - 496*p + 247*p + 249*p.\nAnswer: -2008*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-51)\/1020*16\/((-8)\/2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 3*x - 133 = -b, b = 5*x + 141. Let s = -82 + b. Let h(k) = k + 5. What is the remainder when s is divided by h(9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y**0)**34\/((y*y*(y*(y\/(y\/y**(2\/3)))\/y*y)\/y*y*y)\/((y*y**(1\/3))\/y)))**31)**(-1\/27) assuming y is positive.\nAnswer: y**(403\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (-4 + sqrt(128))**2 - sqrt(128)) + (-6*(sqrt(128)*-2)**2 - sqrt(128)).\nAnswer: -2925 - 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 52182311 is divided by 364.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -7 divided by -1507741\nAnswer: 7\/1507741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-182)\/4 + (23415\/(-30))\/(-223)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1420 and 1620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 2*h = -4*d - 12, -26 = 4*d + 3*h. Let c(t) = t**3 + 7*t**2 - 9*t - 5. Let o be c(d). Solve 4*b - o = 5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/3 - (-100)\/12. Let p(l) = -l**2 + 9*l + 3. Let z be p(m). Suppose -5*r = -f - 12, -f - 3 = -1. What is the greatest common divisor of z and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 50.54265mg?\nAnswer: 0.00005054265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 8 = 1. Let x be 5\/(-5) - k\/3. What is the third biggest value in x, 1, 2\/13?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2721426?\nAnswer: 2, 3, 453571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -85*n**2*t**3 + 40*n**2*t + 7*n*t**3 - 3*n + 2*t**2 wrt t.\nAnswer: -510*n**2 + 42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 less than or equal to 52689807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the second derivative of -u**3\/2 + 2*u**2 + 2*u. Let b be x(-12). Let t be 7\/(35\/b) - 2. Calculate the greatest common divisor of 66 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10062565?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -192*y - 430 = 5*x - 1173, 4*x + 23 + 6 = 4*y - 7 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0.07*-1505.492\nAnswer: -105.38444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1984011.\nAnswer: 3, 47, 14071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:51 PM and 4:07 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29252?\nAnswer: 2, 71, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:08 PM and 10:32 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2093268 divided by 110172?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 79446588 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(3\/8)*k*k**25\/k)**(-14\/11) assuming k is positive.\nAnswer: k**(-1421\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from {q: 1, e: 1, p: 1, c: 4, n: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2817443?\nAnswer: 2817443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-17493)\/(-833) + 1\/((-44)\/918).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the first derivative of -61 - 28\/5*a**5 + 0*a**3 - 25*a + 1\/2*a**4 + 0*a**2. What is the first derivative of k(g) wrt g?\nAnswer: -112*g**3 + 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (10 - 8)\/((-5)\/1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -20.8 + 357.8. Let p = 336.967 - k. Which is smaller: p or 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the third derivative of k**5\/120 + k**4\/24 - 4*k**3 + 20*k**2. Let o(u) be the first derivative of x(u). What is o(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.7 - -0.7079. Let d = w - 0.01. Round d to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 4*j**2 - 3*j + 15. Calculate the remainder when t(2) is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -19 - (1 + 25 - (731 - 716))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 4 = 2. Suppose 3*f + f - 108 = 0. Let w = -24 + f. Let v(l) = 2*l + 3. Let y(a) = a + 2. Determine w*y(o) + z*v(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1424811824?\nAnswer: 2, 19, 4686881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 3, o: 3}. Give prob of picking 3 o.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -49 + 50. Let d(c) = 1 - 2*c**2 + 0*c**3 - 6*c**3 + 2*c - 2. Give d(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((-2*sqrt(28)*-2)\/sqrt(4) - -1*((sqrt(42)\/sqrt(2))\/sqrt(3))**2).\nAnswer: -8*sqrt(7) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 2*r - 3*n - 8 = 0, -36 = -5*r + 4*n. Put -2\/7, r, -4, -4\/5 in descending order.\nAnswer: r, -2\/7, -4\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (66\/88)\/((-11)\/(-8)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 23610153?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-59 + 57)\/(6\/(-39))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 253.8 * 9908\nAnswer: 2514650.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -1550948.464 to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 172 is divided by 46?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 31 and 26443.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-6608)\/4*(-992)\/264. Let q = -6207 + k. Find the common denominator of (-3)\/(-63)*(55 + -2) and q.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 5*z = -47, z + 10 = -z. Let l be j\/14 - 2\/(-7). Suppose l = h - 1. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4671795.63 rounded to the nearest one hundred?\nAnswer: -4671800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r + 12 = 3*v - 12, -6762*r - 22 = -6760*r + v for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3278 - -0.03.\nAnswer: 3278.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69*x**5 + 141*x**4 + 193953*x**3 + 3433839*x**2 - 7810044*x + 333060 = 0. What is x?\nAnswer: -35, -26, 1\/23, 2, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 587 + -612.1. Let v = p - -25.1000144. Round v to 6 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 1\/2, 40\/3 in increasing order.\nAnswer: 0, 1\/2, 40\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2974 + -1?\nAnswer: 2973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/5, 6.7, -0.0051 in descending order.\nAnswer: 6.7, -0.0051, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 97159033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*r**2 - 1180*r - 69620.\nAnswer: -5*(r + 118)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1151789 is divided by 7066.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -3*t**3 - 10*t**2 + 5*t - 57. Let j(i) = i**3 - 2*i**2 + 1. Let p(v) = -5*j(v) + o(v). Differentiate p(k) with respect to k.\nAnswer: -24*k**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in eighteen fifths of a meter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {j: 3, z: 1, n: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2648522189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 239 - 2149\/9. Let d be ((-12)\/(-105))\/(4\/10). Let n(h) = -h**2 - 1. Let x be n(-2). What is the biggest value in d, g, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -16*r**2. Let t(y) = -y**2. Let h(m) = k(m) - 8*t(m). Suppose 5*o - 15 = -s - s, -9 = -3*o - 3*s. Let p(i) = -o*i - i + 5*i. Calculate p(h(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 111815 and 82555.\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -94374 by 1926.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1773735 times -1\nAnswer: 1773735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-26 - (-33 - -8))*(-2 + -6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 468151132 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d + 2 = -w, -2*w - 8 + 13 = d for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19950*4.\nAnswer: -79800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 57040.7 - 57045.69997. Let q = 3 + -8. Let t = j - q. Round t to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -13624160*g**5 + g - 1530425?\nAnswer: -272483200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the second derivative of 21*m**2 + 3*m + 5*m**3 + 3 + 11 - 21*m**2. Let n(r) = 5*r. Determine h(n(p)).\nAnswer: 150*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -167 + -154. Let f = k - -323. Let t = -0.5 - -1. Which is the second smallest value?  (a) 1  (b) f  (c) t  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -0 + 111. Let p = i - 31. Solve p*u - u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**3 + 23*d**2 - 27*d - 34. Is w(-23) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -10  (b) -2\/23  (c) 1\/5  (d) 2.6  (e) 0  (f) 3.996\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 17*o + 221. Give m(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-8)\/6*3\/(-12). Which is the closest to 1?  (a) q  (b) 0.3  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 3 = -2*m. Let b(d) = 10*d**2 + d + 1. Let y(u) = -19*u**2 - 2*u - 1. Let i(k) = -5*b(k) - 3*y(k). What is the remainder when 11 is divided by i(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 3, 4, 25, -5 in decreasing order.\nAnswer: 25, 4, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -3 - 6*i + 3. Let x(h) = -1891*h**2 + 3795*h**2 - 1900*h**2. Calculate x(a(d)).\nAnswer: 144*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 795 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is s in 3*s**4\/5 - 68671641*s**3\/5 - 9*s**2\/5 + 206014929*s\/5 - 137343282\/5 = 0?\nAnswer: -2, 1, 22890547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let -12*j**4 - 21*j**3 + 57*j**2 + 21*j - 45 = 0. Calculate j.\nAnswer: -3, -1, 1, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - (-13 + 87 + 11 + -1 - 22)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2 - 7\/(-3) - (-5)\/3. Suppose -2*q = 2*i - 1366, 2*i - d*q = 2*q + 1372. List the prime factors of (6\/5)\/3 - i\/(-15).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 202*c**4 - 578*c**3 + 522*c**2 - 118*c - 28.\nAnswer: 2*(c - 1)**3*(101*c + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1456 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -9 + 6 + -7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 27790404 a multiple of 690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 947700 is divided by 4885.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-56)\/24*(-1350)\/(-105).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -3*x + 8. Let b(h) = 23*h - 386. Let q be b(17). Calculate f(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1276 in -2, 21.1, -2\/23?\nAnswer: 21.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1391629768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1188 + 943. Let r be y\/(-252) + (-24)\/32. Factor -r*l + 2\/9 - 10\/9*l**2 - 2\/3*l**3.\nAnswer: -2*(l + 1)**2*(3*l - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1774377567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 466 from -46732.\nAnswer: -47198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-75 + 75 - 15*r)*(900 - 900 - 20*r).\nAnswer: 300*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -586 + 604 + 39 + -3?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hysou. What is prob of sequence oy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*j**2 - 14*j**2 - 4*j**2 + (j + 2*j - j)*(-4*j + j + 2*j) + (-2*j - 3*j + 3*j)*(2 - 2 - 2*j) - j**2 - j**2 + 4*j**2 + 53*j - 53*j - 2*j**2.\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkooooo. What is prob of picking 2 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**2 - 18*s + 5. Give w(-9).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1398 + 1401. Let r be 6\/2 + 0\/1. Suppose f*z + r*z - 288 = 0. Calculate the remainder when z is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 3 g when four letters picked without replacement from gzxgqzgzzxzzwzgz?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 21834499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**3 + v**2 + 41. Let g = -93 + 107. Calculate the remainder when b(0) is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -881 + 555. Let i = f + 759. List the prime factors of i.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 648 is divided by 141.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 73082393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/13  (b) 1  (c) 0.4  (d) -3\/10  (e) -1\/8  (f) -129\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 831382 less than 2?\nAnswer: -831380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-2\/19)*i\/(i*i**(-5)))**(11\/6))**10 assuming i is positive.\nAnswer: i**(1705\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 207 and 1264563?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/6*-3)\/(105\/(-20))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2650164 and 136.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 20951 - 20941. Calculate the remainder when 65 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4.811 + 0.011. Let r = 1.84166299 - 6.64166204. Let w = r - z. What is w rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 312 a factor of 1388837510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 103*g + 104*g - 205*g. Let q(s) = -2*s**2 + 708. What is i(q(u))?\nAnswer: -4*u**2 + 1416","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 11 = x, -2*f + 6*f + 2*x = -26. Let h be f\/12 + 327\/9. Suppose 5*n - 4*n = -h. What is n rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 5, 146, -213 in descending order.\nAnswer: 146, 5, 1, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 3907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26, 31, 34, 35, 34, 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*c = 8*c + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 210\/11, 30.4 in ascending order.\nAnswer: -0.4, 210\/11, 30.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the second derivative of 7*f**5\/330 - f**4\/66 - 9*f**2\/2 - 13*f. Let n(i) be the first derivative of s(i). Factor n(r).\nAnswer: 2*r*(7*r - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (((-180)\/50)\/3)\/((-4)\/(-30)). Let k(o) = o**3 + 8*o**2 - 7*o + 1. Calculate k(m).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18274 is divided by 4530?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10cc3e (base 15) to base 14.\nAnswer: 16c710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -92*o**3 + 15525*o**2 - 6755894*o.\nAnswer: -552*o + 31050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8639.\nAnswer: 53, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -132936 or -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1145?  (a) 747  (b) 2  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in 0.06, -90165, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48480 is divided by 123?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 8*f - 7*f - 351 = 0, -3*m + 351 = 3*f. List the prime factors of m.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5405429 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1411484 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2851 + 4718. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 21.8 and 5.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -12*((-78)\/(-9))\/((-6)\/21). Calculate the highest common factor of 52 and f.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 81 - 72. Let z = -35 + p. Let j = z - -31. Solve -j*t + 31 = 11 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-86 + 2)*(-326)\/1304\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*z = 25*z - 20614. Suppose 11*v - z = 9*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1836 divided by 68?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is y in -2*y**3 - 240974*y**2 + 9159178*y - 87019050 = 0?\nAnswer: -120525, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 11025325?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 5967409 a multiple of 973?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0\/(-1)*(0 + (-2)\/4). Solve 2*x + 4*j + 2 + 6 = a, 0 = -5*x - 3*j + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -3*d + 18194, 13643 = 3*q + 5*d - 4*d. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 21 - 8 + 48 - 11 - 12*f + f**2.\nAnswer: f**2 - 12*f + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/(-18)*6\/(-9).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3635 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the second derivative of -25\/3*x**4 + 9\/4*x**5 + 0*x**2 + 34 + 0*x**3 - x. Find the third derivative of b(f) wrt f.\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 544573.\nAnswer: 227, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 856625 to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, -4, 19.\nAnswer: -4, 11, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 5, v: 3, j: 5, x: 2, h: 3}. Give prob of picking 1 j and 2 v.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 675, 2628, 5887, 10452?\nAnswer: 16323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 0.5  (b) -17  (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 11 + 5 = 5*u, 0 = u - 2*a + 8. Let n(r) = 3*r**2 - r. Let c be n(-1). Suppose -w + 42 = c*m, -4*m - 3*w + 38 = -u*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -495\/2 in 1\/2, 0, 4, 0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cgctgtcggctccc. Give prob of picking 4 g.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1056)\/1232 - 2*(-26)\/28. Is n less than -687\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(567)*4*-6.\nAnswer: -216*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 10}. Give prob of sequence cccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -92\/7, 0.3, 61, 2\/503 in decreasing order.\nAnswer: 61, 0.3, 2\/503, -5, -92\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*c + 0*c - 3*c)*(-3 + 5 - 4)*(-4 + 3 - 2) to the form z*c + q and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71*i - 50*i = -68*i - 267. Let c = -67 + 42. What is the nearest to -1 in c, 1\/4, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 5*v - 4*v, 4*v + 8 = -5*j. Let x be (-3)\/(-14) - j*(-5)\/40. Is 2\/11 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -d**2*h + 22*d**2*o**2 + 2*d**2 + 2*d*h*o**3 - 6005*d*h*o - 3*h*o**2 - 5*o**2 - o wrt o?\nAnswer: 44*d**2 + 12*d*h*o - 6*h - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t - 78 + 114. Calculate the remainder when (-91)\/(-3) + (-6)\/(-9) is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**3 + 115*z**2 + 3232*z - 92. What is c(-49)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v**3 + 5*v**2 + 2*v - 8. Let l be c(5). Suppose 8 = 4*b - l*b + a, 8 = 2*a. Solve 4*u + 19 + 1 = w, b*w + 25 = -5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**2 - w - 11. Let c be z(-12). Let n = c - 85. What is the highest common factor of n and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 9 = -0*p - 5*p, 4*p - 2*d - 2 = 0. Which is bigger: -85 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/((-135)\/(-6))*(-10)\/(-14)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/52624 and 93\/65780.\nAnswer: 263120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 20 + -9. Suppose -2 = -d - 5*i, 5*d - i = 6 + 4. Suppose k = 3*r + d. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.07, -0.41, -2\/5 in descending order.\nAnswer: 0.07, -2\/5, -0.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-18*(-15)\/540)\/((-2)\/(-44))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6)\/(2 - (-21)\/(-6)). Find the second derivative of -a*l + l + 2*l**4 + 2*l + 0*l wrt l.\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*-5*(sqrt(243)*2 + -3).\nAnswer: -450*sqrt(3) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -69.96 - 0.54. Let j = 70 + g. Let p be 4\/(-6) - (-24)\/(-18). Sort j, 8, 2\/17, p in descending order.\nAnswer: 8, 2\/17, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c**2\/2 - 153*c - 945\/2 = 0 for c.\nAnswer: -3, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -74*r + 23. What is s(-2)?\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 278800713?\nAnswer: 3, 449, 68993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.32 - -275122507.\nAnswer: 275122507.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**3 - 5*v**2 - 15*v - 8. Give y(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 31618397*k**4 + k**3 - 53*k**2 - 48795*k.\nAnswer: 758841528*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 10 = -2*b, 3*b - 9 = -3. Suppose 0 = y*g + 2*g. Suppose 50 = 2*h - 4*o - g*o, -161 = -5*h + o. What is the highest common divisor of 22 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18 and 1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0\/(-5) - (-1 + -2). Suppose 5*x - 15 = 10. Let g = x - h. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (9 - 4 - 11 - -4) + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 100*a - 222*a + 27*a + 53*a + 55*a.\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4.1 + -2.1. Which is smaller: 7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the second derivative of 2*r**6\/5 + 11*r**3\/6 - 5*r. Find the second derivative of m(j) wrt j.\nAnswer: 144*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the second derivative of -7*d**4\/12 - d. Let h(m) be the first derivative of 7*m**3\/3 - 273. Determine h(p(i)).\nAnswer: 343*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i and 2 w when four letters picked without replacement from wwiwiwiwiwwiw.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12466, -12504, -12546, -12592?\nAnswer: -12642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*u + 7*u - 46*u)*((-2*u - 2*u + 5*u)*(-7*u + 0*u + 4*u) + 3*u**2 - 4*u**2 + 8*u**2).\nAnswer: -168*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 1\/2, 324, 0.3, 4 in decreasing order.\nAnswer: 324, 4, 1\/2, 0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*v**4 + 1 + 2*v**4 + 10*v**3 - 3*v - 4*v + 6*v to the form m*v + s*v**2 + f*v**3 + g*v**4 + u and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 347*d - 4866525 - 1373288 = 5147686. List the prime factors of d.\nAnswer: 3, 10939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3475578695?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-42)\/14*12\/9. Let j = -3547\/13 - -273. Which is the third biggest value?  (a) -2\/13  (b) f  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1753 + 2089. Calculate the highest common factor of y and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3434 + 5?\nAnswer: -3425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*c - 7*c + 2*i + 3, -4*c = -5*i + 3. Let g be (c + 3)*4 - 0. Suppose -20 = -3*w + 2*y - 4*y, 0 = -w - 5*y + g. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2  (b) 2\/7  (c) -14  (d) 13  (e) -4  (f) -0.49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, k: 4, r: 2, y: 3}. What is prob of sequence ykd?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 9, u: 6, m: 4}. Give prob of picking 1 y and 2 m.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3356275921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2\/8)\/(16\/(-20160)*-21). Solve c = -2*m + 1, j = 2*c + 2*c - 3*m for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -417, -414, -411, -408?\n\"Answer: 3*a - 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2286117*f**2 + 2395246*f**2 - 4681363*f**2 - 4*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 10, i: 3, g: 1, k: 2}. What is prob of picking 2 k?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 34385, 34381, 34377, 34373?\nAnswer: 34369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -177 + 112. Let l = s - -189. Does 31 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 + 5. Let g(w) be the second derivative of -w**5\/20 + w**4\/2 - w**3\/3 - 2*w**2 + 6*w. Give g(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*h - 50*h - 8*h - 1020 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-7200)\/(-2475) - ((-3)\/(-1))\/(-33). Solve 324*i + b = 325*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1789511?\nAnswer: 907, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -6219965*0.18\nAnswer: -1119593.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*d**5 + 6*d**5 + 19*d**5 + (-4*d - d**3 + 4*d)*(-5*d**2 - 17*d**2 + d**2).\nAnswer: 40*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 0 + 5)*(-76 - 94 + 135)*(0 - 3*x + 0).\nAnswer: 105*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*c - c + 2*c + (2 - 2 + 2)*(4*c + 2*c - c) + 3*c - 4*c + 13*c + (2 + 2 - 6)*(-5*c + 4*c - c).\nAnswer: 24*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -104 divided by -8\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1773723181?\nAnswer: 41, 211, 205031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1402 + 1405. Which is the nearest to -6?  (a) 1  (b) -8  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.07 + -0.33. Let l = -0.36 - g. Which is the nearest to 0.1?  (a) 1\/3  (b) l  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 2.881142 weeks?\nAnswer: 1742514681.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4.251 greater than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the second derivative of -5*r**4\/12 + 30*r. Let h(j) = 3*j**2. Determine q(h(s)).\nAnswer: -45*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the second derivative of -u**5\/12 - u**4\/24 - u**3\/6 - 5*u**2\/2 - u. Let w(c) be the first derivative of z(c). Give w(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 6*v - v, -v = -3*s + 2528. Suppose -4*k + s = -4650. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*f + 2346 = 5*f. Let z = -95 - f. What are the prime factors of z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 142888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -69\/7124 and 41\/2484?\nAnswer: 4424004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**2 - 23*t + 11. Let a(l) = -13*l + 53. Let i be a(5). What is the remainder when p(i) is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1612212 - 8.\nAnswer: -1612220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2071 - 2065. Solve 0 = -5*z + 2*t - 16, 3*t = -5*z - 20 - u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2717039611?\nAnswer: 11, 13, 23, 37, 83, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 27.49 + 2?\nAnswer: 29.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c**2 - 100088*c - 200192 = 0. What is c?\nAnswer: -2, 25024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**2 - 20*y - 82. Let r be g(-14). Solve r*t - 4*o - 20 = 0, 5*t - 2*o - 9 = 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(2\/7))**(-38)\/((t*t**(2\/7)*t*t)\/t)**(-5)*(t*t*t\/t**6)\/(t\/t**6)*(t**(1\/3)\/t)\/t*t*t**(-2\/9) assuming t is positive.\nAnswer: t**(106\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-25 + 104 + 107)*(1 - 1 - k) to b + t*k and give t.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.13 - -1.13. Which is the nearest to -2?  (a) -2\/5  (b) h  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -q + 3. Let v be 8\/q*3\/(-2). Let l be -3 - (20\/3)\/(-4). Which is smaller: v or l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 38526144.89 + 28.34\nAnswer: 38526173.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 1 = -12. Let v = z + 6. Put -4, v, 3 in ascending order.\nAnswer: v, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-4 + -1 + sqrt(304) - sqrt(304) - sqrt(304))*6*2)**2 - (((sqrt(76) - -3*sqrt(76)) + sqrt(76))*-5)\/(sqrt(36)*6))*-1.\nAnswer: -47376 - 103705*sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.1768 less than 12.543?\nAnswer: 17.7198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1 + 9\/((96\/28)\/6) and 21\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -710*a - 2504. Calculate z(-3).\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and -1050628.\nAnswer: -1050628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5*(-9)\/(-30)*8\/3. Suppose -20 = d - i*r, -2*r + 5*r = d + 15. Solve 15 = -d*j - 5*j, -j = 5*s - 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3.858, 11.7, -135 in decreasing order.\nAnswer: 11.7, -3.858, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 i when two letters picked without replacement from {p: 2, i: 7, x: 2}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 241 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the second derivative of -f**6\/60 - f**4\/6 - 2*f**2 + f. Let r(p) be the first derivative of i(p). Find the second derivative of r(d) wrt d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 206\/10 - (-14)\/35. Suppose -t = -4*f + d - 7, -3*f = 5*d - 22. Let j(c) = -c**3 + 4*c**2 - 2*c + 5. Calculate j(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 55\/924963 and -29\/4329?\nAnswer: 2774889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 3*b)*(0*b**2 + 18*b**2 + 2*b**2) + (2*b - 2*b**2 - 2*b)*(-4 + 4 + 2*b) - 2*b**3 + 0*b**3 + b**3.\nAnswer: -65*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 28904509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 16, i: 2}. Give prob of picking 2 i.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 167\/2 - 83. Suppose 0 = t + 4*t - 3*f - 2, -f = -t + 2. Let i be 40\/(-90)*(t + 46\/20). Sort x, i, -6, 3 in descending order.\nAnswer: 3, x, i, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.87 and 109100.\nAnswer: -94917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1551240729 + 1551237215.996601. Let g = h + 3513. Round g to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h - 6. Let m(n) = -2*n - 7. Calculate 5*b(r) - 4*m(r).\nAnswer: 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -424 times 0.21631\nAnswer: -91.71544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6)\/15 + 1636\/8840. Let d = 3\/17 + u. Suppose 3*j = -5*n + 1, 6*j = 5*n + 11*j - 5. Does n = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*t + 45 = 4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 2*y**2 + 10*y - 4. Let k be s(2). Suppose -k*n + 6595 = -19*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -1\/5056920?\nAnswer: -1\/5056920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the third derivative of 3749*l**4\/12 + 8054*l**3\/3 - 110*l**2 + 14*l. Find the first derivative of c(a) wrt a.\nAnswer: 7498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18434*d = -17043*d + 4173 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9.9414 + 0.5226. What is o rounded to one decimal place?\nAnswer: 10.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 19 - 44. Let x = r - -33. What is the remainder when 17 is divided by ((-2)\/(-3))\/(x\/36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*l - 337 + 1407 = 0. Let z be (-3 + 18\/9)\/(2\/218). Let w = l - z. Solve w*y = q + 3, -3*q - 1 = 3*y - 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*o**6 + 9*o**6 + 11*o**2 - 5*o**6 - o**2 wrt o?\nAnswer: -120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 - -3c?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ieegeetteeit. Give prob of picking 2 t.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4.86 - 29.\nAnswer: -33.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*k - 4938*x + 4936*x - 125, -5*k + 4*x = 201 for k.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 - 27*o**2 + 113\/2*o**3 + 41*o**4 - 3\/4*o**5 - 223\/4*o = 0.\nAnswer: -1, -1\/3, 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - -4 - ((-415)\/(-6))\/5 - -7.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*h**3*m**3 + 4*h**3 - 4*h**2*m**4 - 12*h**2 wrt m?\nAnswer: 6*h**3*m**2 - 16*h**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the first derivative of -6*i**2 - 13*i - 10. What is the remainder when n(-8) is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*((w**(4\/3)*w*w)\/w*w)\/w*w\/(w*(w**(-2)\/w*w)\/w*w))**(-3\/5) assuming w is positive.\nAnswer: w**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let -70\/3*w + 40 + 5\/3*w**3 - 5\/3*w**2 = 0. Calculate w.\nAnswer: -4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d**3 + 126*d**2 + 256*d - 21. Let r be j(128). Put -25, r, -2, 2 in decreasing order.\nAnswer: 2, -2, r, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 506 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -14 times -1.2388\nAnswer: 17.3432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h - 15 + 5. Suppose -h*q + 11 = -3*o, o + 4*o + 3*q = 27. Solve -3*c - 2*y + 5*y + o = 0, 5 = -4*c + y for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (1\/2)\/((24\/(-10880))\/(-3)) a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*b**5 + 5*b**5 + b**5 + 3*b**5 + b**5 - 6*b**5 + (0*b**3 + 2*b**3 - 3*b**3)*(b**2 + 0 + 0).\nAnswer: -b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**3 - 4*j**2 + 6*j + 3. Suppose 0 = c + 1, -3*w - 2*c - 18 + 1 = 0. Let b be a(w). Let k be 1 - -2 - (-3 - b). Solve -k = -2*d - 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -1 - 3*d**2 - 149*d - d**3 + 150*d - d**3. Let p be o(-4). Suppose 0 = r - 4*r + p. Calculate the remainder when 74 is divided by r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 865234*i*r**2 - 46936*i*r - 4*i - 2*r**4 wrt r.\nAnswer: 1730468*i - 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -4*s - 2. Let w be (s + 3\/(-3))*-18. Is (w\/15)\/(6\/(-80)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 33046921.\nAnswer: 5\/33046921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 5*t - 11. Let w be z(2). Which is the closest to 0?  (a) w  (b) 2  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5670127373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((-1*sqrt(26)*-1)\/(sqrt(200)\/sqrt(4)) - (sqrt(13) + (1*sqrt(13))**2 + 4 - sqrt(637)*-3)).\nAnswer: -109*sqrt(13)\/5 - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -4\/5 less than -266329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 79600 by 199.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b and 2 k when four letters picked without replacement from {k: 2, b: 10}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n, 2 t, and 1 b when four letters picked without replacement from {t: 4, b: 9, n: 2, s: 1, v: 1}.\nAnswer: 27\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 232884 is divided by 75793.\nAnswer: 5505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 388 = -19*p + 21*p. Suppose p = -2*i + 3*i. Suppose -3*g + 2*g = -3*y + i, -257 = -4*y + 3*g. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d**3\/4 + 141*d**2\/2 - 648*d - 3672 = 0 for d.\nAnswer: -102, -4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 3100558*f**2 + 9331*f + 74648. Let i(c) = 1329*c**2 + 4*c + 32. Let r(x) = -9331*i(x) + 4*t(x). Let g(o) = -5*o. Give g(r(v)).\nAnswer: -6665*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -66, -184, -328, -486, -646, -796?\nAnswer: -924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 2939*y - 212. Is l(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*h - 5*h**3 - 9*h + 0*h**3 + 28*h - 2*h**3 as b + u*h + k*h**3 + o*h**2 and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/6 - 71222\/32982. Which is the nearest to p?  (a) -2\/9  (b) 3\/2  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -95646.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.03 - 0.23. Sort 2\/3, n, 0.5 in descending order.\nAnswer: 2\/3, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(2\/9)\/f)\/f)**(2\/55) assuming f is positive.\nAnswer: f**(-14\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 9 = -179. Suppose j + 4*h = 215, 3*j - 5*h + 153 - 730 = 0. Calculate the remainder when j is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7238*c + 3615*c = -3417*c + 5150 for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 391 - 222. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 961 + 102*b**2 - 486 - 478 - 93*b**2.\nAnswer: 9*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-24)\/6)\/(-1 - 5\/(-7)). Suppose 3*a - c - 19 = 0. What is the remainder when 65 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 5*c = -5*m + 33, m - 5*c + 23 = 0. Suppose -m*g = -3*s + 3*g - 14, g - 6 = -s. Solve -s = z + z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -17*c**4 + 2*c**3*h**2 - 2*c*h + 11*c + 2*h**2 wrt c?\nAnswer: -204*c**2 + 12*c*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5337830 divided by -289.\nAnswer: 18470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 17558*q - 122949. What is d(7)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**3 - 7*a**2 + 7*a - 5. Let j be h(-8). Let b(x) = -x**2 - 7*x + j + 3*x + 3*x**2. Let v = -1 + 3. What is b(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 7 - 1b?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 900 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**2 - 11*m - 22. Suppose -3*q + 0*h + 5*h = -67, 0 = -4*h - 20. Let f be y(q). What is the common denominator of (-39 + 3 + -1)\/f and -11\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1\/(-4) - (299880\/32)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 88394282107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (2 - 834\/4)\/((-20)\/120)?\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-70)\/(-175)*(-1 - 0).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 829 - 742. Suppose a*t - 94*t + 13286 = 0. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -3, -55, -1, -5 in ascending order.\nAnswer: -55, -5, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5688 + 1412*r + 5680 - 11368 to the form m + t*r and give t.\nAnswer: 1412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 344777 or 344790?\nAnswer: 344777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18722 is divided by 2340.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = -w + 260. Suppose -3*c = -2*o + 187, 5*o - 279 = 2*o + 5*c. Suppose o*u - 1690 = 85*u. What is the greatest common divisor of w and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1096 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 6 = r. Solve r*j + 2 + 12 = -4*a, 0 = 2*j + 2*a + 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*p**4 + 825*p**3 + 22690*p**2 + 97125*p + 110250 = 0 for p.\nAnswer: -35\/2, -3, -2, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 323 and 9?\nAnswer: 2907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17545, 17473, 17383, 17299, 17245, 17245?\nAnswer: 17323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - j)*(-j + 3*j - j) + 1 - 1 + 2*j**2 + 9*j**2 + 87*j + 171*j - 7*j**2.\nAnswer: 3*j**2 + 258*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.67748 millennia in centuries?\nAnswer: 56.7748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3109 = 4*f - 7*o, f + 5*o = 9*o + 775. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -29 + (-15 - -23) + 12.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*b + 0*b + 2 + 3*b + 3*b.\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add -55 and -1.54.\nAnswer: -56.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -32 + -19. Let f = d - -51.2. Suppose 2*u - 4*u = 2. What is the closest to u in 0, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = g - 7959, 4*g - 4*q - 31892 = -2*q. Let d = g - 3237847\/406. Do d and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 90713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/41 or 1?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2122, 4181, 6240, 8299, 10358, 12417?\nAnswer: 14476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**3 + d**2 + d + 1. Let l(a) = -2*a**3 - 5*a + 3*a**3 - 2*a**3 + 4*a - 2. Let s(i) = 2*g(i) + l(i). What is o in s(o) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g - 7 = -v, 4*v = -31*g + 34*g - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jjmjmjmmmmmjj?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oye when three letters picked without replacement from ozyyeyooyoyo?\nAnswer: 5\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1896 divided by -6?\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:15 PM and 11:38 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-20)\/(-15) + (-10)\/(-15). Solve -d - d = i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 210 or 209?\nAnswer: 210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 159671.\nAnswer: 159671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i - 35 = -5*t, 2*t = i + 4 + 11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -2 + 2 + 10 + -16?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 9905, 82861, 280891, 666533, 1302325, 2250805, 3574511?\n\"Answer: 10423*f**3 - f**2 - 2*f - 515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from afbpaafobf?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7*q + 0*q + 8*q)*(11*q - 4*q - 6*q) as n + g*q + i*q**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -83*n + 464*n - 3235*n - 1704*n - 2673*n to the form p + i*n and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20964921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes after 1:09 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3789 - -3836. What is the remainder when q is divided by (-152)\/(-12) + (-2)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the second derivative of -n**3\/2 - 13*n**2\/2 - 11*n. Let p(y) = -y**2 + 11*y - 8. Let k be p(11). Is z(k) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7973561 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is (15\/(-6)*25378\/5)\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -34*a. Let f(t) = t. Let j(k) = -c(k) - 68*f(k). Let b(s) = -46*s**2. What is j(b(u))?\nAnswer: 1564*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**3 - c**2. Let p = 60 - 57. Let k(a) = -187*a**p + 92*a**3 + 92*a**3. What is -k(f) + 2*l(f)?\nAnswer: f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z + 3. Let r be (-4 + 2 - -54) + -2. Suppose -2*y + 5*t - 2*t + 88 = 0, 145 = 3*y + 2*t. Let n = r - y. Calculate k(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -36146 - -36154. Let z(d) = -d**3 - d**2 + 15. Calculate the remainder when z(0) is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.12 + -1.9089965116?\nAnswer: -1.7889965116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yxm when three letters picked without replacement from xmxymvmmm.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 305 - -3826. Suppose -4*i + f + 7069 = 0. Round i to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-three quarters of a meter in centimeters?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -757, -769, -793, -835, -901, -997, -1129?\n\"Answer: -l**3 - 5*l - 751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**3 + 7*z**2 - 23*z - 5. Give m(-10).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 8333677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.8 - 2.2. Let b = 1121 + -32505\/29. Let f = 10\/493 - b. Put f, q, 4 in descending order.\nAnswer: 4, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 c, 1 n, and 1 d when four letters picked without replacement from ndpjgcnggdddjgjdgn.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v = -48395*b + 48390*b + 38, -14 = -3*b - 2*v for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -161*n**5 - 7*n**3 - 67*n - 2 wrt n.\nAnswer: -3220*n**3 - 42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 2*o**2 - o + 8. Calculate the remainder when h(7) is divided by 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22451?\nAnswer: 11, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 25 = -7*t. Let s be 2\/t*(9 + 1). Let i = s + 3. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**3 + 7*x**2 - 3. Let g be r(-7). Let o be 7\/(-39) + g\/(-9). Let w = -23 + 23.2. Which is the second smallest value?  (a) o  (b) w  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5871 - -0.06?\nAnswer: -5870.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of (-1*-1*(-7 + 8))\/((-2)\/(-136)) and 184?\nAnswer: 3128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*f - 4*r - 388 = -16*f, -3*r + 93 = 2*f. Calculate the greatest common factor of f and 1332.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 78.8349 rounded to zero decimal places?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 57 - 32. Calculate the remainder when 50 is divided by d - (3 + -3 + -1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1467\/44 at least 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3)\/12 - (-34)\/8. Let s = 9 - n. Suppose -2*v = -3*q + v + 246, 4*q + s*v - 283 = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -55 - -43. Let j be 2 + (9 - (-1 - -2)). Let v be 6*(l\/3 + j). Calculate the highest common divisor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -14*b - 4*b**2 - 8*b**2 - b**3 - 2*b**2. Let q be u(-13). Let t = q + -7. Let c(g) = 3*g - 7. Calculate c(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 640\/21  (b) -2  (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -146, -639, -1476, -2663, -4206, -6111, -8384, -11031?\n\"Answer: -m**3 - 166*m**2 + 12*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 118, 103, 62, -17, -146, -337?\nAnswer: -602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 666.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**2 + 5*k - 3. Let o be c(-6). Suppose -o*u = -2*b - 7599997, 0*u - 11400002 = 3*b + 2*u. What is b rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 10*(-4)\/(-6)*(-36)\/(-8). Calculate the highest common divisor of 12 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 152 and 380?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 - 371 = -5*c. Calculate the least common multiple of 27 and c.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = y + 824. Let n = 1856\/9 + y. Let z = 10 - 31\/3. Which is the biggest value?  (a) n  (b) 4  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 273\/91*(-2)\/1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -35.6  (b) 2\/39  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/8  (b) 4  (c) 1  (d) -1\/5  (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33*n - 50 - 7*n**3 - 53*n + 45 + 91*n + 5.\nAnswer: -7*n**3 + 71*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32 + 96*b - 52*b - 44*b + 5 + 3*b**2.\nAnswer: 3*b**2 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1046061507 + 1?\nAnswer: -1046061506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 113591789.\nAnswer: 149, 179, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a - 14 + 4. List the prime factors of (a - 6) + 3*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the second derivative of -f**6\/300 + f**2 - 7*f. Let n(p) be the first derivative of v(p). Let n(u) = 0. Calculate u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1438 a factor of 48568819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 656483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -52*k + 7652. Let p(o) = 33*o - 5103. Calculate -5*c(l) - 8*p(l).\nAnswer: -4*l + 2564","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1843725?\nAnswer: 3, 5, 13, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 16 = -5*k, 5*c + 0*k - k = 13. Suppose -o + 11 = 4*z - c*z, 4*o = z + 59. Suppose -o = -5*u - 3*m, u + m = 3*u + 1. Solve -8 = 3*n + u for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(832) + 0 - sqrt(832)) + 1 + sqrt(832) + -1 + sqrt(832) + -4 + sqrt(832) + 6*(sqrt(832) + (sqrt(832)*1 - sqrt(832)))*3)**2.\nAnswer: -336*sqrt(13) + 366913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 24031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 divided by 15300172?\nAnswer: 7\/15300172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 0 + (-22)\/(-18)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 34616, -12, -1.\nAnswer: -12, -1, 34616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4622 + -4605. Let p(r) = r**3 - 16*r**2 - 17*r - 14. Calculate p(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that z**5 - 252*z**4 - 7760*z**3 - 22848*z**2 + 123904*z + 430080 = 0.\nAnswer: -24, -4, 4, 280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-6))\/((-36)\/216)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 95154b (base 13) to base 16.\nAnswer: 35373b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 3*o - 47. Let s(d) = -2*d + 31. Let n(a) = 8*s(a) + 5*v(a). Let f be n(7). Let g(q) = -4*q**2 + q + f*q**2 + 5*q**2 + 1. What is g(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 143902 and 3379.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1058 is divided by 332?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -56*c**2 + 4 + 23*c - 24*c - 5 + 0 to j + k*c**2 + m*c and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the third derivative of -88\/15*c**5 - 96*c**3 + 32*c**4 - 2\/105*c**7 + 0*c + 8\/15*c**6 + 1 - 69*c**2. What is z in w(z) = 0?\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.95 - 0.05. Let h(r) = -r**3 - 4*r**2 - r - 11. Let f be h(0). Which is bigger: f or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**2 - s - 87. Let j be w(0). Suppose -634 = -8*a + 110. Let x = a + j. Solve d + x = 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8925 and 40800?\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 = 5*d - 40. Let t be (10\/4 - 2)*10. Solve 3*k + 5*u = d + 7, -4*k - u + t = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1124 times 1.3\nAnswer: -1461.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1\/2, 0, 2469 in increasing order.\nAnswer: -1\/2, 0, 3, 2469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3848 and 520?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 + 1)*(-6*v + 4*v + 3*v)*(6 - 5 + 4).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -12316024 - 6?\nAnswer: -12316033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/1440*15*(16\/(-3))\/(-2)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3646468726 to the power of 1\/6, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4726.87 - 4756. Are b and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4668377443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sssseseses. What is prob of sequence ses?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the first derivative of 0*t**2 + 2\/3*t**3 + 0*t - 16. Let f(r) be the first derivative of -4*r**3\/3 + 1. Calculate f(m(j)).\nAnswer: -16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 793847843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 2*u - u. Let b(o) = 2 - 3*o + 0*o + u*o. Let n be (8\/6)\/((-2)\/6). Let c(x) = 5*x + 2. What is n*b(j) + 3*c(j)?\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 2*r - 2 - 37*r - r - 3*r + (1 - 1 + 2)*(6*r - 3*r - 2*r) + 0 - r + 0 as d*r + l and give d.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1.1579443014 and -31?\nAnswer: 29.8420556986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -649.1 + 649. Is k at most 0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -38663, -38423, -38185, -37949, -37715?\n\"Answer: -k**2 + 243*k - 38905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 460408 + -460629.8577. Let b = u + 222. Round b to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*g + 18 - 6*g + 2)*(477 - 240 + 31*g - 235).\nAnswer: -31*g**2 + 618*g + 40","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 786 and 84941055.\nAnswer: 169882110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9908890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.24 - 0.41. Let v = 0.03 - k. Sort v, 0, 2.\nAnswer: 0, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 49998 and 1768?\nAnswer: 3399864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -3481555?\nAnswer: 1\/3481555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (9233 - -4)\/1*(-77)\/(-33).\nAnswer: 7, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 3*o - 9. Let q be k(8). Suppose 2*f - 6 = -2*m, 5*m + 5*f - q = 2*f. Let y(s) = s**m - 2*s + 2*s + 4*s**2 - 2*s**3 + 3*s. Calculate y(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61*n - 119876 = -11*n - 4820. Is 17 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s**3\/5 - 148*s**2\/5 + 121*s - 456\/5 = 0. What is s?\nAnswer: -152, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1799.7 and 258037.763.\nAnswer: 259837.463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, g: 1, r: 6, f: 1}. What is prob of picking 1 g and 2 r?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.25 + -1.25. Which is greater: -0.09 or k?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -17 - 323?\nAnswer: -33a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3866 and 5058661?\nAnswer: 1933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 24.9 - -8.1. Which is smaller: m or 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 5 - 2)*(0*n + 2*n**2 + 0*n) + (-104*n - 257*n + 104*n)*(-3 + 0 + 4)*(-6*n + 3*n + n) + 4*n**2 - 6*n**2 + 0*n**2.\nAnswer: 516*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 182391, 182534, 182677, 182820, 182963?\nAnswer: 183106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5.67164 * 0.7.\nAnswer: -3.970148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5.97357622 + -65.01216162. Let z = -25.6385701 - c. Let v = z - 33.4. Round v to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that t**4\/3 + 19*t**3\/3 + 16*t**2 - 4*t\/3 - 64\/3 = 0.\nAnswer: -16, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/16*0 - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.2 and -683159?\nAnswer: -819790.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 30, -4, 0.058, -0.4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let 8*t**5\/7 + 536*t**4\/7 - 550*t**3\/7 - 400*t**2\/7 + 542*t\/7 - 136\/7 = 0. What is t?\nAnswer: -68, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8 - -5. Let j = 2.8 + v. Suppose -11 = 3*s + 1. What is the second biggest value in s, -0.5, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.539576 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 4*d = -5. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*w + 38 = -30*w. Let c(b) = 2*b**3 + b**2 - 2*b - 2. Let j(n) = 3*n**2 - 3*n**2 - 1 + n**2 - n. Determine w*c(x) + 2*j(x).\nAnswer: -2*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3371593 is divided by 265.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1*((-8)\/2 - 0). Suppose -6 = j + f, 0 = 2*j - f - 9 + 18. Sort w, j, -3.\nAnswer: j, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 584 minutes after 8:04 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 289043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 74 + 34. What is the highest common factor of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -20705*v**5 - 5*v**4 + 26*v**2 + 48363171*v.\nAnswer: -414100*v**3 - 60*v**2 + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 79608.27 centimeters to meters.\nAnswer: 796.0827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 51\/((-20)\/8 + 1). Let u = 2 - s. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the second derivative of -3*u**5\/20 + 3*u**4\/4 + 2*u**3 - 76*u. Find y, given that c(y) = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*t**3 - 9*t - 27*t**3 + 9*t.\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 39054 and 460158.\nAnswer: 1698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 686598384.\nAnswer: 2, 3, 1531, 9343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/2*(-4 - 800\/(-375))?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -22891 + 22900. Calculate the highest common divisor of 12249 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -28 - -30. Let v be i\/(((-14)\/3)\/7). Let q be v*(-6)\/(-27)*-3. Solve n - 5*d = -q*d - 2, -2*n - 2 = -5*d for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3\/5  (b) -3\/4  (c) -1  (d) 348  (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 30937298 to the nearest integer?\nAnswer: 5562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**2 + 0*v**2 - v**2. Let a(p) be the first derivative of -p**3\/3 - 29. Give a(s(f)).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23892*x - 23886*x + 3567 = -47749*x for x.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:16 AM and 1:01 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22653146 divided by -22653146.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wucm when four letters picked without replacement from {u: 1, w: 1, m: 4, x: 1, c: 2, t: 6}.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 116 + -7. Is (5 + -4)\/(0 + 1)*n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -19 + 22. Let o(r) = -6*r - 2 - 7 + l*r. What is the tens digit of o(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mq when two letters picked without replacement from qddbbmddbdx?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w, -3*k + 3*w + 17942 + 7891 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -2  (b) 0.2  (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the first derivative of v**5\/5 + 393*v**2\/2 - 4190*v + 6084. What is the first derivative of d(f) wrt f?\nAnswer: 4*f**3 + 393","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9328*a - 9318*a + 18639*a.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 462835 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 2, d: 1, r: 1, g: 3, m: 3, k: 5}. What is prob of sequence gjmk?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 374 and 286?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -34321231 - 4?\nAnswer: -34321235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 44702 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 97*r + 1 + r**2 - 4*r**2.\nAnswer: -3*r**2 - 97*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 2*m**2 - 1. Let k be y(1). Let p = -840 - -2522\/3. What is the smallest value in p, -6, -4, k?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 29*j**3 - 27*j**3 - 37*j**2 - 9 + 11 to the form p*j**3 + a*j + r*j**2 + v and give r.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6739*m**3 - 1 + 6741*m**3 + 1 - 8*m.\nAnswer: 2*m**3 - 8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -165065 + 238769. Let y be l + -6 + (3 - 1). Round y to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) 3\/2  (b) 3\/4  (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 132 (base 5) to base 8.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = 3*i - a + 31, -2*i - a - 49 = 0. Sort i, 1, -11 in ascending order.\nAnswer: i, -11, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(572)\/(2*sqrt(11)*5 + sqrt(11)))\/(3*3*(sqrt(100) + (-1*sqrt(100) - sqrt(100)))).\nAnswer: -4*sqrt(13)\/495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -9 + 3 + (212 - 148)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes before 11:31 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**3 + 7*t**2 - 4*t. What are the prime factors of y(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1351b - -2265?\nAnswer: -11286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the second derivative of 373*x**7\/42 - 167*x**4\/6 + 610*x. What is the third derivative of w(t) wrt t?\nAnswer: 22380*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -22074 + 22073.759824. Let t = 0.24 + j. Round t to 5 dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 228 = 3*m, -5*m + 595 = 5*s + 195. Suppose -2*y + 3*y + m = 5*f, 3*f - 3*y = 39. Suppose 4*j = 56 + f. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -12*k**2 - 3. Let d(r) be the first derivative of 26*r**3\/3 + 7*r + 39. Let t(x) = -3*d(x) - 7*o(x). Let f(g) = -16*g**2. Determine t(f(n)).\nAnswer: 1536*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**3 - 12*r**2 - 2*r - 21. Let d be k(-12). What is the second derivative of 3*w**4 + 2*w**d - 13 + 2*w**3 + 23 - 15 - 14*w - 30*w**4 wrt w?\nAnswer: -324*w**2 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55*u**3 - 9*u**3 + 1996*u + 141*u.\nAnswer: -64*u**3 + 2137*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -2*v + 9. Suppose -2*m - 5*p = m - 151, 184 = v*m - 2*p. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (11\/11 + -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -35*0.11.\nAnswer: -3.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1239*w + 1025*w + 17029 + 5830 + 2045 = 0 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that 10*w**3 + 29*w**2 + 17*w - 2 = 0.\nAnswer: -2, -1, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 314, 1102, 2356, 4070, 6238, 8854, 11912?\n\"Answer: -b**3 + 239*b**2 + 78*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q**2 + 5*q - 24. Let o be k(-8). Let h be -1*(o + 4 + -5). Let y(w) = 11*w + 1. Calculate y(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12 + 55*t + 20 + 27 + 3.\nAnswer: 55*t + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 1.085, 5 in ascending order.\nAnswer: 1.085, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 greater than or equal to 28.0568?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5180 = 2*n + 2*w, -3*n + w + 3*w - 7742 = 0. Let x = n - -23318\/9. What is the common denominator of x and (-101)\/18 + 2\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**(-7)\/c*c*(c\/(c*c\/(((c**(1\/20)*c)\/c)\/c)))\/c*c*c*c)\/(c*c\/c**(2\/11)*(c\/(c\/(c\/(c**(-1\/4)*c))))\/c))**(1\/2))**(-2\/47) assuming c is positive.\nAnswer: c**(441\/2585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = m - 6*o + 27, -m - 41 = 4*o. Let a(j) = 20*j**2 + 3*j + 1. Let k be a(-2). Let t = m + k. What is the remainder when t is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2245254 + -3?\nAnswer: -2245257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f\/(f*(f\/(f\/(f**(-1\/4)*f)))\/f)*f*f)**(25\/7)*(f*f**(2\/5))**(-41) assuming f is positive.\nAnswer: f**(-6411\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 7) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v - 13*v = -14. Let z be (182\/39 - v\/3) + 0. Suppose -q = -2, z*c + c - 3*q = 4829. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -54 * -22860.63.\nAnswer: 1234474.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 18 = -4*s + m, -s + 18 = -4*m. Suppose 0 = -5*j + 6*j + 2*u - 13, 0 = -3*j + u + 53. Calculate the remainder when j is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*k + 4*k - 30*k - 759 = 0 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**3 + 6*u**2 - 8*u - 7. Let k be t(-7). Suppose 5*d = -2*j - 1, -5*j + 5*d - 5 + 20 = k. Solve p = -3*y - 2, -j*p - 1 = y - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 5) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12 + (-81)\/(-6))\/((-6)\/40)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0.4, -559.31, 1\/5, 1, 5 in increasing order.\nAnswer: -559.31, 1\/5, 0.4, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -1.036, -1, 5 in decreasing order.\nAnswer: 5, -1, -1.036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put together 8.6187 and 216.\nAnswer: 224.6187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 10\/3 of a minute?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 55 + -67. Let v be h\/126*-7 - 542\/(-6). Differentiate -3*o - v - 11*o + 89 wrt o.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s + 5. Let l(n) = 1. Let g(v) = -5*l(v) + p(v). Let a(b) = b**3 - 8*b. What is -a(t) + 6*g(t)?\nAnswer: -t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1273*(-3493)\/(-100299)*(-4)\/(-14)*6?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 27169.353 hours?\nAnswer: 1132.056375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21d (base 14) to base 2.\nAnswer: -110100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -3  (b) 1\/5  (c) 1\/3  (d) 26  (e) 5.2  (f) 1\/60  (g) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -442*t + 906*t - 572*t.\nAnswer: -108*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(242) - (-1 + sqrt(242) + -2 + sqrt(242)))**2*2 - (5 + -3 + (sqrt(242) - sqrt(242)*-2)**2).\nAnswer: -1678 - 132*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -2841579, -2841447, -2841227, -2840919, -2840523, -2840039?\n\"Answer: 44*s**2 - 2841623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -260*y**3 + 1243*y**2 + 284*y + 5.\nAnswer: -(y - 5)*(5*y + 1)*(52*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 655b (base 15) to base 14\nAnswer: 7b6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.048 * 4.\nAnswer: 0.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 520332.\nAnswer: 2, 3, 131, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -70 + 31. Let u = b + 39.038. Let p = -0.03667 + u. Round p to 4 dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17712\/(-1800)*(-5)\/8 and -33\/2302?\nAnswer: 23020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00676975 rounded to six dps?\nAnswer: 0.00677","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 14571 at most 14557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/32329 or -1?\nAnswer: -2\/32329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-24)\/4 - ((22 - 14) + -28).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 82\/159 - 144695\/318. Let f = x + 1909\/4. Calculate the common denominator of 27\/38 and f.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11377727461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -99*u - 116*u - 82*u - 784 = -346*u for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 at most 104\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -36 + (-14 - (304\/(-14) + -30)).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -320460, -640959, -961460, -1281963, -1602468, -1922975?\nAnswer: -2243484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 215412570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 935*j - 44869. Calculate g(48).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -170 - -173. Suppose 210 = 5*i - o, -5*o = a*i - 3*o - 113. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -5*q. Let i(b) = -20 + b + 20. Determine -12*i(k) - 3*n(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 4*s - 6)*(5*s - 2*s - s)*(0*s + 3*s - 4*s).\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 14550.18 rounded to the nearest one hundred?\nAnswer: 14600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*q + 39 - 69 = 69 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -20 + 15 + 1269\/255. Is o equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 45 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80*x - 23*x = -56*x - 339 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 165*k**4 + 56*k**3 - 343*k**4 + 121*k**3 + 1510*k**2 + 175*k**4 - 19*k**3 wrt k.\nAnswer: -72*k + 948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1460962 is divided by 173.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 3369.34 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 373945, 373957, 373975, 373999?\n\"Answer: 3*x**2 + 3*x + 373939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 262 + -160. Is 34 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 1669448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (660\/4125)\/((-5)\/((-25)\/16)).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -766, -725, -698, -691, -710, -761?\n\"Answer: -p**3 - p**2 + 51*p - 815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -6*a**2 + 58*a + 3920. Let r(h) = 3*h**2 - 20*h - 1307. Let n(s) = 6*m(s) + 17*r(s). Differentiate n(f) with respect to f.\nAnswer: 30*f + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (3\/(-6))\/(4\/4256). Let y = -160 - l. Calculate the greatest common factor of y and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 equal to -784\/18225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 13*a**2 + 5*a + 1. Let v(h) = 6*h**2 + 2*h. Let p(r) = 5*v(r) - 2*w(r). Let l be p(-1). Solve 2*s + l = -0*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 5  (b) 2\/7  (c) 19835\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pvdvvvpdpvpvdvpppp. What is prob of sequence pdd?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20645 is divided by 369.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 328 - 4?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**1)**(-2\/5))**(2\/45)\/((v*v**0)\/((v\/(v*v**(2\/7))*v*v*v)\/v))**(-40) assuming v is positive.\nAnswer: v**(-45028\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -266, -460, -686, -932, -1186?\nAnswer: -1436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -8 - 46*i**3 - 15*i**3 + 59*i**3 + 9 + 4*i - 6*i + 65*i**2 as q*i**3 + v*i**2 + f + c*i and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*b**2 + b**3 + b**2 - 4*b**2 + (3*b**2 + 2*b**2 - 3*b**2)*(-3*b + 3*b - 4*b) to the form f*b**2 + w + c*b + u*b**3 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1932\/11 or 176?\nAnswer: 1932\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c**(-1\/2)\/c*c)*c\/(c*c**(-6\/11)))**(-17) assuming c is positive.\nAnswer: c**(-765\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -21 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2418*h**3 - 65*h + 7623*h**3 - 5207*h**3.\nAnswer: -2*h**3 - 65*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.622 * -0.12.\nAnswer: -0.07464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - -1. Let s = 0.05715 + -0.45715. Sort m, s, -3.\nAnswer: -3, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 123 divide 3951498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the first derivative of -w**2\/2 + 13*w + 3. Let a be 3\/(-6)*(-3 - 19). Let r be n(a). Solve 0*x + 10 = -r*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -5*f + 168. Does 8 divide u(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence arnz when four letters picked without replacement from zrrraanazrarraarwaaa.\nAnswer: 7\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ckaf when four letters picked without replacement from actcpcfkkfpkpfft.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that 4*z**4 + 26632*z**3 + 44302324*z**2 - 88684560*z + 44355600 = 0.\nAnswer: -3330, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -4313*h**2 + 454*h + 1135. Let s(c) = -227*c**2 + 24*c + 60. Let j(n) = 227*s(n) - 12*u(n). Let p(b) = -5*b**2. What is j(p(k))?\nAnswer: 5675*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2180 + -2219. Put 6, x, -3, -5 in ascending order.\nAnswer: x, -5, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -85351\nAnswer: -2\/85351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.12106 times 10.29?\nAnswer: 1.2457074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*w**3\/3 - 6*w**2 + 380*w\/3 = 0. Calculate w.\nAnswer: -19, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -q**3 + 31*q**4 + 2*q**2 - 62*q**4 + 6 - 4 to the form o + z*q**2 + l*q + n*q**4 + i*q**3 and give n.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*d + 8*d + 20*d.\nAnswer: 21*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from {z: 1, w: 2, m: 2, i: 2, e: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5\/2  (b) 13  (c) -208  (d) -0.2  (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1903?\nAnswer: 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 3*b**2 - 6*b + 1. What are the prime factors of w(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 6*m - 120. Let c(j) = -j + 17. Calculate 15*c(y) + 2*n(y).\nAnswer: -3*y + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 25618985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/225*-20)\/(30\/(-9))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*w - 19*w = -336. Solve -h + 5*o = w, -h - 2*h = 2*o - 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**2 + 75435*h + 2112970. What is d(-28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -294 - -4?\nAnswer: -290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -40044504*a**2*p + 2*a**2 + 2653*a*p + 2235*p wrt a?\nAnswer: -80089008*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-2)*5\/810*-12?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1688069 is divided by 150?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3048*h + 1010*h - 10 + 1023*h + 7 + 1022*h + 3.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is a in -2*a**2 + 96326*a + 770736 = 0?\nAnswer: -8, 48171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 53037565?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1279266092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1174)\/84 - 221\/9282?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 4 = -24. Suppose 0 = d*z - y, 0*y + 3*y = 4*z + 11. Let m be z\/4 + 15\/4. Solve 0 = -2*n + 5*u - 33, -m*u = -23 + 3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 545732?\nAnswer: 2, 11, 79, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -685663\/16 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, 0.018, -13241?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 45359676?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.3 + 0.3. Let l = 0.1 + m. Let r = l - 0.3. Which is the nearest to 1?  (a) 3  (b) -1\/2  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23784374 divided by 2?\nAnswer: -11892187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 305 = 5*l, 0 = 2*c + 17*l - 174 - 84. Which is smaller: c or 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0905 times -0.5\nAnswer: 0.04525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -42.6374065 to 3 dps.\nAnswer: -42.637","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73805 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 11 = -d, -11*d - 14 = -13*d + 3*g. Let t = -22 + 196\/9. Which is the nearest to -3?  (a) t  (b) d  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (sqrt(1216) - (-2 + (sqrt(1216) - (sqrt(1216) + 2 + sqrt(1216))))))**2 + 5.\nAnswer: 96*sqrt(19) + 4878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 18\/(-8) - 9\/(-12). What is the second smallest value in u, -4, -54?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -2*x. Let k(n) = -8*n**2 + 5*n. Let f(p) = 9*p**2 - 6*p. Let o(h) = 5*f(h) + 6*k(h). Calculate v(o(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, h: 4, t: 4, x: 4, a: 3, c: 1}. What is prob of picking 1 c and 2 a?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 - 8. Suppose -4*a = -2*a - 10. Suppose -4 = 6*p - a*p. Put l, p, 3 in descending order.\nAnswer: 3, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 828517155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 1 + 1)*(-2*y - 2*y + 2*y) + 3*y + 0*y - 5*y)*(-y**2 + 4*y - 6 - 12*y + 9*y)*(-y**2 + 0*y**2 + 3*y**2).\nAnswer: 12*y**5 - 12*y**4 + 72*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 3*o + 19. Suppose -4*k + 100 + 32 = 0. Suppose 0 = 5*u + k - 3. Let h be i(u). Solve -4*d + 5*d = h for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 28 + -18. Let k(x) = x**3 - 6*x**2 + 7*x - 8. Let t be k(7). What is the highest common factor of y and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 47, -2\/19, -1\/2?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 113 + -461\/4. Let b = -29\/20 - i. Suppose 6\/5*u**2 + 0 + 2\/5*u + b*u**3 = 0. What is u?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -2*o - 15. Give b(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 16730081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9 - (1 + -4)) + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uff when three letters picked without replacement from mfffgfsmffuusmmsffm?\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(2\/11))**12\/((z\/z**(3\/5))\/z**(1\/10)))**44 assuming z is positive.\nAnswer: z**(414\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 6*n + 412. Let z be w(-67). Which is the nearest to 0.2?  (a) z  (b) 1\/4  (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 295 + -877\/3. Which is the second smallest value?  (a) p  (b) 4\/3  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 10\/(30\/(-20)*(-12)\/9). Solve -97 + 67 = p*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5, -0.4, 2, 7.12, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7 (base 11) to base 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 4*g = -20, 8*z - 4*z - 2*g = 10 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((-174)\/(-2900))\/((-18)\/(-40))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 57 + 0*i**2 - 2*i**2 - 57. Let q(c) = 2*c + 8. Calculate r(q(z)).\nAnswer: -8*z**2 - 64*z - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -43 - (113 - 83 - 88)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 93128151.\nAnswer: 3, 61, 179, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -0.035*0.3\nAnswer: -0.0105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 + 2abf5?\nAnswer: 2abf5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 114251 is divided by 28557?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 divided by 34?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**2 + 20*a - 32. Let x be t(18). Solve 0*j - x = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4775?\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -30 + 3075*q - 3072*q - 15. Let d(p) = -p**3 - 7*p**2 + 7*p + 10. Let s be d(-8). Calculate the remainder when 26 is divided by o(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -6*w - 1. Let x(b) = -4*b - 3 + 9*b + 4. Let m = -89 + 85. Determine m*q(n) - 5*x(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 214.183 to the nearest ten.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 31719670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the first derivative of l**5\/40 - 5*l**4\/16 - l**3\/24 + 5*l**2\/8 - 174. Find m such that o(m) = 0.\nAnswer: -1, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9021 + -8776. Which is the closest to 2\/13?  (a) k  (b) 3  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5 and 5767465?\nAnswer: 5767465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -33*j - 78. Let y be r(-6). Calculate the greatest common factor of 150 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -2*d**4\/9 + 4078*d**3\/9 + 16342*d**2\/9 + 1366*d\/3 - 2724 = 0.\nAnswer: -3, -2, 1, 2043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 60.30596 millennia in years?\nAnswer: 60305.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -3*o**3 + 30*o**2 - 56*o + 514. Give i(10).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Are 206413 and 206477 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*s**2 - s**2 - 4*s**2)*(181 - 788 - 697 - 80)*(4*s + 3*s - 6*s) in the form p + h*s + i*s**3 + u*s**2 and give i.\nAnswer: 1384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -24013 - 20?\nAnswer: -24033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-30)\/(990\/231) + 20. Let s = -24 - -51. Solve -b*t + s = -12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.04 in -416, -0.21, -3?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.24 in -5, -14\/57, -7?\nAnswer: -14\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 1, -0.8, -3, -0.3, 0.32?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - m = 25, m + m + 2 = 2*p. Let u(y) = 112*y + 8. Let w be u(p). What is w rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -4*d**3 + 131*d**2 - 39*d - 18. What is the lowest common multiple of f(31) and 6050?\nAnswer: 60500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 2\/7, -19, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 times 555696?\nAnswer: 222278.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 421 = 19*y + 15*y - 361. Which is smaller: -7 or y?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**2 + 5*i - 1. Suppose -3*q - 8 + 20 = 0. Let w be b(q). Solve 3*l + 5*p + 17 = 0, 5 = -w*p - 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -9 - 8e6f09?\nAnswer: -8e6f12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 15 and 336?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:57 PM and 2:01 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 596\/9 - (-114)\/(-513). Suppose -1 = -u + 4*k, 0 = -2*u - 2*k + k + 11. Suppose -u*w + g = -64. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/3 - ((-210)\/9 - 2). Calculate the highest common factor of v and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - -1)*(6 + (7 - 16))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4 - -252?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 85, -6\/7 in descending order.\nAnswer: 85, -6\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 337 a factor of 126038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = v + 6880. Let s = -976 - v. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.2955 - 23.7045. Let s = 0.31 + 21.69. Let l = s + i. Which is the third smallest value?  (a) 0  (b) -1\/5  (c) 1\/2  (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 114 = 5*c, -2*c + 4*c = -q + 40. Calculate the least common multiple of c and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the second derivative of -19*b**3\/6 - 79*b**2 - 1212*b. Give d(-10).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3143 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/31, 3, -1\/3, 15, -33, 4 in decreasing order.\nAnswer: 15, 4, 3, -2\/31, -1\/3, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2131657 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**3 - 29*h**2 + 19*h - 53. Let k be y(-30). Let l = k - 83. What are the prime factors of l?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3  (b) 3  (c) -1\/1706  (d) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9818614, -19637228, -29455842, -39274456, -49093070, -58911684?\nAnswer: -68730298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g = -6*g + 6*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = 5*j - 4*x, -3 = -506*j + 507*j - x. What is the remainder when 138 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 20 + -16. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 - 11?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4095*b**2 + 48*b + 1153597 wrt b.\nAnswer: 8190*b + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8244 + -7796. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 541.23 + -541.46273. Let m = 1.35631 + k. Let f = -1.12 + m. Round f to four decimal places.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -2\/3, 0.1, -7 in increasing order.\nAnswer: -7, -2\/3, 0.1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9 + 13. Suppose t - 13 + d = 0. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.31 - -400211728?\nAnswer: 400211727.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -232749*j + 116373*j + 116403*j.\nAnswer: 27*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 238*r**5 + 384*r - 17922*r**2 + 17*r**3 + 17933*r**2 + 7*r**3 wrt r?\nAnswer: 14280*r**2 + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 89?  (a) -0.03  (b) 1  (c) -5  (d) 15  (e) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 2*f + 432. Let d(k) = 45*k. Determine d(g(t)).\nAnswer: 90*t + 19440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 2 r when three letters picked without replacement from {u: 2, s: 11, r: 2}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -168281 divided by 200\nAnswer: -168281\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - i - 8 = 0, 0*i = 2*s - 5*i + 23. Let y(f) = f**2 - 10 - 17 + 23. Is y(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-3))\/(3 - 18\/(-6))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -600, -5, 3 in decreasing order.\nAnswer: 3, -5, -600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f = -o - 18, -17*o = -18*o - 2*f + 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 0.4  (b) -0.24  (c) -0.04  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 13) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3\/(-4) - (-3)\/12)*52. Let l = 57 + g. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 2*p + 1. Let h(l) = -l**2 + 4*l + 1. Let g(x) = 5*d(x) - 3*h(x). Let z be 1 + -1 + 2 + -1. Let y be g(z). Let v(m) = -5*m + 4. Calculate v(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*r**2 - r**2 - 8*r**2 - 8*r**3.\nAnswer: -8*r**3 + 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 279 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 45048 - 13764. Suppose 4*s - 3*w - 125192 = -5*w, 4*w - v = -s. Round s to the nearest one thousand.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2500) - 1*sqrt(2500) - sqrt(2500))\/((sqrt(5) - sqrt(45))*6).\nAnswer: 5*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -w**2 - 4*w**2 + 2*w**2 + (5*w - w + 0*w)*(-w - 2*w + 2*w) - 1 + 1 - 3*w**2.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 10) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 606635450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03926 rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p = -17*z - 50, -205*p + 411*p - 210*p - 2*z = -12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p - p**3 + 2*p + 3 - 3*p**2 + 0*p**3. Let f = -1299 - -1296. Calculate x(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5\/1)\/((-2)\/2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 270 = 70. Which is smaller: m or -51?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-3)\/3*-1)\/((-4)\/(-44)). Suppose -2*g + 12 = g. Suppose m = 3*j + s, 5*m - g*m - 19 = 5*j. Does 1\/4 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j - 2*i = 8, -5*j + 6*i + 33*i + 365 = -33*i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15 - -17 - (1 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 4*n**2 + 4*n + 2. Let d be x(4). Let g = 55 - d. What is the tens digit of (-104)\/(-6) - (-9)\/g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -17 or -49\/3?\nAnswer: -49\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -4030*h - 2944*h + 545*h - 1519*h - 1137*h as f*h + v and give f.\nAnswer: -9085","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*l = -45*l - 3*s - 99, -l - 4*s + 123 - 177 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k**3 - 5*k**2 + 4*k + 4. Let b(j) be the third derivative of j**6\/120 + 2*j**5\/15 - j**4\/24 - 2*j**3\/3 - 2*j**2. Let o be b(-8). What is p(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -25 times 102\nAnswer: -2550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**2 + 2834*b + 193680.\nAnswer: 2*(b + 72)*(b + 1345)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-one halves of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the third derivative of -z**7\/280 + z**6\/60 + z**5\/40 - z**4\/4 + z**3\/6 - 3*z**2. Let t(u) be the first derivative of a(u). Factor t(x).\nAnswer: -3*(x - 2)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 486.999993742 + -487. Round c to seven decimal places.\nAnswer: -0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let k = -12813 + 27332. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -3*t - 4. Let j(p) = -5 - 3 + 2*p + 2*p - p**2. Let i(a) = a**2 - 5*a + 9. Let q(r) = -4*i(r) - 3*j(r). Let n be q(7). What is k(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*s**3\/13 + 4140876*s**2\/13 = 0. Calculate s.\nAnswer: 0, 2070438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -24 + 35. Solve -z*d + 9*d = 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 58535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -133\/648 and 11968\/4320 - 3\/1 - 2\/(-6).\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -110*a - 21*a + 86*a - 121*a - 1 to the form z*a + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i - 1. Let x(a) = 3*a - 2. Let q(s) = -x(s) - 2*y(s). Calculate q(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the second derivative of i**7\/7 - 5*i**4\/6 + 9*i. What is the third derivative of x(n) wrt n?\nAnswer: 360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*u - 152 = 79. What is the least common multiple of 49 and u?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - (14 - (25 - 14)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15502385?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 420 a factor of 1175005860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**2 - 35*g + 41. Give z(34).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -30*g - 201*g + 567*g + 279*g + 286*g in the form w + o*g and give o.\nAnswer: 901","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 9, 7, -0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + 4*v - 8 = 0. Suppose 4 - 2 = v*k. What are the prime factors of (k*-2 - -3)*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 34059900 to the nearest one hundred thousand.\nAnswer: 34100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from frffrrrfff. Give prob of sequence rrf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -291*u - 10878 = -300*u + 268*u for u.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2.9 - 2.7. Let y = 10777.1 + -10777. Which is the closest to y?  (a) 3  (b) 1\/4  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 976 - 113 = 118*t - 1025 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**3 - 153*t**2 - 799*t + 1430. What is w(158)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 155245 (base 7) in base 6?\nAnswer: 353534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**2 + l. Suppose 6*s - 7*s = -6. Suppose c - 11 = -2*u, -u = 2*c - s*u + 14. Calculate i(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 times -531201?\nAnswer: -53120.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -2*x**2 - 6*x - 6. Let v(d) = d**2 + d + 1. Let m(o) = -j(o) - 3*v(o). What is the units digit of m(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -42, 4, 40, 60, 58, 28, -36, -140?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -20 + 123223?\nAnswer: 123203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + (-3 - (-176)\/13 - (-410)\/(-164))?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is (33060\/(-150))\/((-2)\/10) a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((1 + -3 + (sqrt(28)\/sqrt(4) - sqrt(7))*2)**2 - (sqrt(504)\/sqrt(108))\/(-2*sqrt(6)*6)).\nAnswer: sqrt(7)\/9 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 10993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 300990 rounded to the nearest one thousand?\nAnswer: 301000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x*(x\/(x\/(x*x\/(x*x**(3\/2)))))\/x*x*(x**(-42)\/x*x*x*x*x)\/x assuming x is positive.\nAnswer: x**(-79\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes after 7:43 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 110 = p + 5*f, -3*f + 7*f + 344 = 4*p. Suppose 5*v = -15 + p. Calculate the remainder when 44 is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:44 PM and 10:27 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 367424 is divided by 1701?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 612*(-2)\/(-4 + 0). What is the units digit of (m\/4)\/((-1)\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 323 a factor of 24664926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 15\/499 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -47 - -47. Suppose u = 14*n - 13*n - 29. Suppose n = 2*t - 5*d, -5*t - 6*d = -9*d - 25. Which is the closest to -7?  (a) 2\/7  (b) 4  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -107111 (base 9) to base 16\nAnswer: -faf3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6490448931.\nAnswer: 3, 59, 503, 72901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2885?\nAnswer: 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 126\/45 + 24\/(-30). Let z(n) = -n**3 + 5*n**2 - 3*n. Give z(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 11820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 1\/5  (b) 0.02  (c) -2\/15  (d) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:25 AM and 2:36 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -484 - -685. Let q = f - 178.3. Let s = 22.699889 - q. Round s to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -2*l + 10. Let j(z) = -z + 2. Let u be j(l). Let m = u - -7. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 2.5418532 months?\nAnswer: 0.0002118211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -95*a**2*i**2 + a**2*i - 2*a**2 + 27*a + 2*i - 53 wrt i?\nAnswer: -190*a**2*i + a**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 4, -0.02, 11\/4, -1419, -1\/3, -1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 176 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2943 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most as big as 87\/5361622?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*a - 144 = 5*a. What is the lowest common multiple of 1 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -281 less than 79?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y + 20. Let m be b(9). Suppose 0*u + m*u = 2134. Suppose 4*z + 89 = k + 2*z, 0 = -2*k - 4*z + u. List the prime factors of k.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-1)*b)**(1\/43)*(b**(-1\/2))**(-3\/2) assuming b is positive.\nAnswer: b**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0002854 to five dps.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a hour in minutes?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -113 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 1)*(85*l + l + 20*l)*(4 + 3 - 1).\nAnswer: 1272*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 14 (base 16) to base 13\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i + 66 = -16*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1875 bigger than -0.11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (18 - (5 + 9)) + 10 - (1 + 6)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from xrrrxxxxrr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.06 and -0.11?\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m + x + 4396, 2*x - 190 = 3*m + 3096. Are -1096 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j = 5*q + 29, 5*j + q = -75 + 50 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 52 - -1474.4.\nAnswer: 1526.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 984 = 401. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 18 = 3*m, -6 = -5*m + 2*b + 12. Let g = 2 - m. Suppose s + 3*s - 52 = g. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d and 1 k when three letters picked without replacement from {b: 1, n: 2, c: 1, p: 1, k: 2, d: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -3, -11 in increasing order.\nAnswer: -11, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -12 - -18 - (-1 + 1 + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*z - 2*z + 0*z)*(-35 + 11*z + 35) - 1678*z**2 - 532*z**2 + 7669 - 7669 to w*z + n*z**2 + i and give n.\nAnswer: -2188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.2, 4, 0.0619, 8, 2?\nAnswer: 0.0619","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-1\/11)*z**(-3\/5)*z**5\/z**(-2\/57) assuming z is positive.\nAnswer: z**(13619\/3135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -123 = -5*w - r, 4*w - 2*w = 2*r + 42. Let u = w - -43. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*c**3 - 2808 + 0*c**3 + 2808.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, -58, -3.7 in decreasing order.\nAnswer: -1\/3, -3.7, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 145\/(-58)*-12*(-2)\/(-75)*5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -2\/33845723 and 53\/48974.\nAnswer: 3181497962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -78 + 12405 + 6342 = -352*t + 1069 for t.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 4*i + 2. Let a = -27 - -71. Let s = a + -17. Let k(l) = -11*l - 9*l + s*l + 3. Determine -5*g(c) + 3*k(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 75, -3\/23, -1.\nAnswer: -1, -3\/23, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 238805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 0 + sqrt(245) + 3 + 5 + sqrt(245)*3*4 + 4*3*sqrt(245))**2 + -2.\nAnswer: 3500*sqrt(5) + 153223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19264505.\nAnswer: 5, 13, 296377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**3 - 8*u**2 - 5*u + 6. Let q be s(-6). What is the units digit of (-2)\/(-5) + q\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -12, -10, 8, 48, 116?\n\"Answer: w**3 + 2*w**2 - 11*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 114*v - 112 = 117*v + 4*i, -4*v - 8*i + 4*i - 15 = -3*i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 96, 93, 90, 87, 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -547\/4 + 136. What is the closest to -1\/2 in 3, r, 1\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 + 1. Let f = 51.1 - 2.1. Let d = -44 + f. Which is the smallest value?  (a) 0  (b) d  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 4 + 0 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -11*t**2 + 19479*t - 35380.\nAnswer: -(t - 1769)*(11*t - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*g = -3*g + 3*j + 1, 5*j - 45 = 5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -853 - -845. Let m = 4 + -2. What is the nearest to -2 in p, m, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 108 - -42?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 67 = 16*b + 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1303331 (base 5) in base 15?\nAnswer: -782b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9050640, -9050636, -9050630, -9050622, -9050612, -9050600, -9050586?\nAnswer: -9050570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.9127 + 5.9127. What is the third smallest value in l, -0.06, 1\/21, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 - 9 - n**3 + n**4 + 17)*(1 - 1 + 2*n).\nAnswer: 2*n**5 - 2*n**4 - 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-11)\/(-33))\/((-1)\/(-15)). Suppose 0 = 5*q - l - 3483 + 64, -5*l + 3395 = v*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from rrrrrrrrrrryr.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the second derivative of 3*u**5\/10 - u**4\/2 + u**3\/2 - u**2\/2 - 2*u. Is v(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (470 + 4*o + 406 - 756)*(2*o + 0 + 0) + (-2*o - 2*o**2 + 2*o)*(-3 + 3 + 1) - 2*o**2 + 0*o**2 + 3*o**2 to the form y*o**2 + d + h*o and give h.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 106 - ((41 - -2) + 96)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2706 is divided by 884?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3137973454.\nAnswer: 2, 7, 11, 263, 77477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-1\/6)*q*q*q\/q**11 assuming q is positive.\nAnswer: q**(-49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) -3\/2  (b) 0.2  (c) -181  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5722 + 21047 = 2*h - 615*h for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -2*z + 25. Let d(n) be the second derivative of 37*n**5\/20 - n**4\/12 + n**2\/2 + n. Calculate the remainder when d(1) is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zycqycc. Give prob of sequence qcyc.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - 2*s)*(0*s + 0*s + 2*s)*(4 + 4*s - 4)*(-3 + 3 + 1).\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 108 and 57204?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*m + 4 = -230. Solve 0 = -h - m + 24 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b = 2*b + 4*g + 15400, 3*b = -4*g + 11543. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 159824 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 450\/66 + 2\/11. Suppose 4*a - g*a + 6 = 4*x, -7 = -x + 2*a. What is the tens digit of ((-2)\/x)\/((-4)\/66)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*l**4 - 4*l**3 - 6008*l**2 - 3*l + 17834 wrt l?\nAnswer: -24*l**2 - 24*l - 12016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o. Let b(s) be the first derivative of s**4\/8 - s**2 + 3. Let w(i) be the second derivative of b(i). Determine d(w(n)).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*u + 93 - 10 - 4*u + u.\nAnswer: u + 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3472.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 180\/(-63)*(-7)\/2. Calculate the greatest common factor of s and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*k + 48131 = -3*k + 4021905. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -20*o**3 + 891*o*q - 70527*q wrt o?\nAnswer: -60*o**2 + 891*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -33, -4, 4, 2, 2594, -2.\nAnswer: -33, -4, -2, 2, 4, 2594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 74*h**3 + 246*h**2 + 14286 wrt h?\nAnswer: 222*h**2 + 492*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2\/4)\/((-3)\/(-108)). Suppose -2*s = -5*s + o. What is the smallest common multiple of s and -6 + (50 - 8)\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6.965896 litres?\nAnswer: 6965.896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**3*i)**(4\/7)*(i*i**(2\/3))**40 assuming i is positive.\nAnswer: i**(1448\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s*s\/(s*s**10))*(s**14\/s*s)\/s)\/((s**3\/s)\/s**1) assuming s is positive.\nAnswer: s**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 163.13 + -160. Let l = j + -0.13. Let p = -2\/2645 - -212\/529. What is the closest to -2\/5 in -0.1, p, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 314 = -3*c + 4125, 5*c - 6355 = -5*m. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*b + 8*b + 5*b - 16*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**2\/3 - 2620*y\/3 + 4350.\nAnswer: 2*(y - 1305)*(y - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 218610 - 2b?\nAnswer: 2185a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -61*u + 104 + 18 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*z + 126 = -z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**3 - 9*d**2 - 9*d - 3. Let z be k(-8). Let u = -3 + z. Solve u*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 137*f**3 - 1. Let b be a(-1). Let p = -60 - b. Is p a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -956 and 5?\nAnswer: 961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*d*l**2*r**3 - 20*d*l*r - 4*d*r**3 - 2459876*l**2*r**3 + l*r**2 - 138 wrt l.\nAnswer: 4*d*r**3 - 4919752*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4738130 to the power of 1\/2, to the nearest integer?\nAnswer: 2177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 1711 = -3*m + 1737, 3*m + 2*y = 6*y - 37 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -398582 divided by 2\nAnswer: -199291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1713 + 1795. What is the remainder when 242 is divided by h?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.4 - 0. Which is the closest to -3?  (a) 2  (b) -3  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1598?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-73*p + 185*p + 1 - 1)*(-273*p**2 + 273*p**2 + 123*p**3).\nAnswer: 13776*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/7 in -3\/76, -6, -2?\nAnswer: -3\/76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 18*n**2 + 2*n - 4. Let i be k(2). Suppose i + 58 = 2*z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -69\/4 and (-4)\/((-1656)\/(-873)) - -3?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1921931 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-three sixths of a week in hours?\nAnswer: 1204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -54955, -54957, -54959?\nAnswer: -54961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lwwllzwwz. Give prob of sequence wzw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ihjigir. What is prob of picking 1 h and 3 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 + 1. Let r be ((-6)\/4)\/(l\/(-20)). Let w(v) be the first derivative of v**4\/4 - 2*v**3 + 5*v**2\/2 + 6*v + 1. What is w(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.01, 0.5, -31.65, 244.\nAnswer: -31.65, -0.01, 0.5, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -4*u**3 + 28*u**2 - 13*u - 109. Calculate v(10).\nAnswer: -1439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 17180886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w. Let y(t) = -t - 5. Let r be y(-3). Let v be (r\/(-4))\/(4\/192). Suppose -v*c + 20*c + 12 = 0. What is o(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1112021 + 1002?\nAnswer: -1111012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 18 + -18. Solve 4*g = -16 - i for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v**5 - 36*v**4 + 228*v**3 - 438*v**2 + 351*v - 102 = 0. What is v?\nAnswer: -17, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -2*q**2 - 8*q - 24. Let f be k(-5). Let x(a) = a**3 + a - 39. Let z be x(0). Let y = z - f. What is the third biggest value in -3, -2\/5, 0.2, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + h - 292 = 0, -5*x + 152 = 4*h - 224. Let f = -34 + x. What is the remainder when f is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p\/(p\/(p\/(p\/(p\/p**(1\/3))*p)))*p)**(-11\/3))**41 assuming p is positive.\nAnswer: p**(-2255\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -50*a - 18*a - 44*a.\nAnswer: -112*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**5)\/o**(-6))**(5\/2) assuming o is positive.\nAnswer: o**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2.12, 3, -0.3, 9, -0.4, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0637143106 rounded to five decimal places?\nAnswer: 0.06371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9\/5*k + 3\/5*k**2 + 0 = 0. Calculate k.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -6 + 2*f - 6*f + 5*f - 7. Let j be m(15). Solve -j = d, -5*t + 2*d = 4 - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1155 and 41223?\nAnswer: 2267265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 26b78 - -30a?\nAnswer: 27286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 4*h = -2*q - 60, 5*h + 3 = -q. What are the prime factors of q\/((-364)\/8) - (-10482)\/14?\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 56\/6 + (-20)\/15. Suppose s + d = 2*d + 9, -21 = -2*s + 5*d. Let c(f) = s*f + f - 17*f + 2 + f**2. Determine c(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3\/(0 + (-3 - -4)). Differentiate 9*y**o + 6 + 2 - 6*y**3 + 7*y**3 wrt y.\nAnswer: 30*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 769707.\nAnswer: 3, 85523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 2980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -20 + 20. Let m(s) = 4*s + 0*s + n*s - 5. Let i be m(3). Solve 0 = -u + 4, 0 = 3*y + 2*y - 3*u + i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (7*(-6)\/15)\/((-5)\/125). Calculate the lowest common multiple of (1 - 5\/(-2))*240\/x and 30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 + -1)\/2 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5.5 - -5. Which is the second biggest value?  (a) -5\/6  (b) 0.3  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 + 2030032114?\nAnswer: 2030032104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -186*y**3 + 3*y - 23 + 23.\nAnswer: -186*y**3 + 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12256498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -6*l**2 - 2*l. Let v(d) = 10*d**2 - 8. Let x(y) = y**2 - 1. Let k(s) = -v(s) + 8*x(s). Give k(a(u)).\nAnswer: -72*u**4 - 48*u**3 - 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -232, -236, -242, -250, -260, -272, -286?\n\"Answer: -v**2 - v - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the third derivative of -m**4\/4 - 5*m**3 + 335*m**2. What is x(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4 + (-5 - 39\/(-3)). Suppose u*g - 15*g = -1341. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (81\/(-486) - 65\/42)*56\/204?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 5*o**2 - 2*o - 3. Let v(a) = -a**3 - 6*a**2 + 3*a + 2. Suppose 98*y = -26*y - 75 + 323. Calculate y*v(c) + 3*t(c).\nAnswer: -2*c**3 + 3*c**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-8)\/(z**9*z*z))\/(z\/(z\/z**(3\/5)*z)*z)**(-1\/4) assuming z is positive.\nAnswer: z**(-377\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.30339 rounded to 3 decimal places?\nAnswer: 0.303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -0.056 times -0.4\nAnswer: 0.0224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 147 - 21 = 9*s. Solve 26*f - 24 = s*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4959\/10 + 496. Let l(g) be the third derivative of 0*g - 8*g**2 + 3\/10*g**3 + 0 + z*g**4 + 1\/100*g**5. Factor l(h).\nAnswer: 3*(h + 1)*(h + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i + 3*i - 3. Let l = i + 0. Find the third derivative of 12*t**2 - 15*t**2 - 4*t**6 - t**3 + t**l wrt t.\nAnswer: -480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -551940 divided by 36796?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*x - 5*x + 5*x + 4*x.\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -851*i + 74. What is the hundreds digit of x(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 48 and 347400.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24176032 divided by 62.\nAnswer: -389936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.01377 - 0.06.\nAnswer: -0.04623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-1)*c)\/(c*c*(c\/c**(-2\/7))\/c))**(-33) assuming c is positive.\nAnswer: c**(528\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 20*z + z + 5304*z**2 - 102*z**3 - 5304*z**2 to the form b*z**2 + h + w*z**3 + c*z and give c.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-4)*z*(z**(1\/4)\/z*z)\/z*z*(z**(-2\/3)*z*z)\/z**(3\/2) assuming z is positive.\nAnswer: z**(-35\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/10*(-4)\/12.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes after 11:40 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0 - 0)\/(8\/(-4)). Suppose q + 9 = 12. Solve p + 2*p - q = i for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3*c**3 + 31*c**2 - c + 8284.\nAnswer: -9*c**2 + 62*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 82 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -15547 - 72*r**3 + 2*r + 15547 + (-2*r - 3*r + 3*r)*(r**2 - r**2 + r**2).\nAnswer: -74*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1900, 1906, 1908, 1906, 1900, 1890?\nAnswer: 1876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h + 9. Let v be a(-2). Calculate the greatest common factor of 98 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q - 1 - 2 + 2)*(-24 + 24 + 3*q + (-3*q + 3*q + 3*q)*(1 - 1 - 2)).\nAnswer: -6*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-4)\/20*-3)\/2 + 29366\/(-20). Which is smaller: m or -1465?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 481379339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (25398\/(-80427))\/((-6)\/(-304)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*d*t**2 + 44756*d - 122475*t**2 wrt d.\nAnswer: -2*t**2 + 44756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2.43 - -0.65. Let d = n + -0.08. Which is the smallest value?  (a) 1\/9  (b) 0  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -83, -251, -511, -863, -1307?\nAnswer: -1843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*j**2 - 16270*j + 3271800.\nAnswer: -5*(j - 190)*(j + 3444)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 762, 808, 880, 978?\n\"Answer: 13*m**2 + 7*m + 742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 5*k = 17, -2*j - 3*j - 4*k = -85. Find the first derivative of 8*v - 3*v + j - 9 wrt v.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.25379 rounded to two decimal places?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/59500 and -26\/495.\nAnswer: 5890500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**3 - h**2 + 4*h. Let r be v(-3). Let c = 8 - 3. Suppose c*t + 33 = r*t. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, -19, -106 in descending order.\nAnswer: -2\/3, -19, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -8, 0, 4 in ascending order.\nAnswer: -8, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8 + -3. Suppose 0*z = t*v + 2*z - 227, -2*v + 4*z + 86 = 0. Suppose 183*g - 167*g = 288. What is the greatest common divisor of g and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + -2*-5*-3*sqrt(325))**2.\nAnswer: -300*sqrt(13) + 292501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**3 - 18*f**2 + 20*f + 9. Let t be 4 + 70 + (1 - (0 + -2)). Suppose -73*o - 68 = -t*o. Calculate the remainder when n(17) is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 713 - -42. Let q = n + -329. Calculate the remainder when q is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n + 13 = -4*m, -2*m + n = -6 + 11 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 10 = 3*i, -6*i + 4*i - u - 15 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and -17.8175503.\nAnswer: 89.0877515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 4*y - 12 = 0, 6*a = 5*a + 4*y - 4. Suppose -a*i + 3 = -3*i. Factor 2\/7*x + 0*x**2 + 0 - 2\/7*x**i.\nAnswer: -2*x*(x - 1)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -310*o**2 - 5*o - 10. Let z(g) = -465*g**2 - 7*g - 14. Let n(b) = 7*x(b) - 5*z(b). Let v(w) = 8*w. Determine n(v(f)).\nAnswer: 9920*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes after 9:24 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2039273.\nAnswer: 31, 157, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*m**5 + 56*m**4 - 144*m**3 + 136*m**2 - 44*m = 0. Calculate m.\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -62762 (base 9) to base 13.\nAnswer: -15b33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/8, -1.14, -1\/6?\nAnswer: -1.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1901.5 from 6768.\nAnswer: 8669.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5576 is divided by 931?\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0\/(0 + 2))\/1. Let t(i) be the first derivative of -3\/20*i**5 - 1\/8*i**4 + q*i**2 + 1 + 0*i + 1\/12*i**3. Factor t(h).\nAnswer: -h**2*(h + 1)*(3*h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r + 3*p - 4 = 0, -p = -6*p + 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the second derivative of 0 + 1\/2*x**2 + x - 13\/48*x**4 + 19\/80*x**5 - 1\/6*x**3 - 1\/20*x**6. Suppose c(p) = 0. What is p?\nAnswer: -1\/2, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -111 - (62 - 155 - -31)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 7 + 2 + 5*m - 864*m**2 + 867*m**2. Let f(k) be the third derivative of -k**5\/60 - k**4\/12 - 2*k**3\/3 + k**2. Determine -5*f(w) - 2*n(w).\nAnswer: -w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i, 2 k, and 1 b when four letters picked without replacement from bbbskbibkbbbbb.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/2 or 25\/4?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5 + -9. Let a(t) = -2*t - 6. Let o(z) = -2*z + 8. Let s(q) = 3*q - 9. Let b(u) = 4*o(u) + 3*s(u). Calculate d*b(f) - 3*a(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*k**4 - 3364*k**3 - 9269*k**2 + 2226*k.\nAnswer: -k*(k + 3)*(k + 371)*(9*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 3*b - 2 + 26 = 0, -z = -4*b + 13. Suppose -5*v = -z*v + l - 18, 2*v - 4*l - 8 = 0. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*m + 57 = -12*m - 0*m + 4*m for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.8?  (a) -271  (b) 5  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) -290\/9  (c) 1  (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1461 + 5655. What is the thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38*f**3 - 154*f**3 - 643*f**3 - 571*f**3 - 20*f**3.\nAnswer: -1350*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 43853372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.02 bigger than 0.0088?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1239652 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1282297292590861262\/2233 - 574248738482428. Let y = 62893145 + f. Let n = y + 3\/319. What is the common denominator of n and 51\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-51)\/(-3) - (-5 - (31 + -34)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 126711659*j**2 - 6461471 wrt j.\nAnswer: 253423318*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 391 and 78234.\nAnswer: 1799382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:58 AM and 5:30 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1031*w + 4256*w + 69313 = -269055 for w.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -346676 to the nearest 10000.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 45.5 and -6161?\nAnswer: -280325.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 minutes before 2:21 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 360 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5 - 7. Let y = x + 5\/3. Let d = 66 + -66.2. Which is the smallest value?  (a) d  (b) -5  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zgdgdggggzzzgzgzg. Give prob of sequence zgz.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 875 - 860. Put -3, 1, 2, d, 0 in ascending order.\nAnswer: -3, 0, 1, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 2*q + 14. Let u be s(-4). Let h(a) = 3*a - 17. Let v be h(u). Let k = v + 3. Solve k*r - 6 = 2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 776.48 and -6.7107.\nAnswer: 769.7693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7979596220?\nAnswer: 2, 5, 251, 1589561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 527561579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o + 3*o - 2*d = -135, o + 5*d - 32 = 0. Let t = o - 42. Solve t = i, -4*i + 5 = 4*w - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 50*r**2. Let t(h) = 43426*h. Determine t(b(k)).\nAnswer: 2171300*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 400 - -179. Let q = c + -507.6. Round q to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -2*q. Let z(g) be the first derivative of -1\/2*g**2 + 0*g + 3. Give j(z(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20394060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/(54\/4))\/((-29)\/(-87)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 25, -2, -516\/17, 3, 2\/9 in descending order.\nAnswer: 25, 3, 2\/9, -2, -516\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -2*p. Let q be y(-4). Let m be 25*((-32)\/(-10))\/2. What is the highest common divisor of q and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 8*b**2 - 3*b - 1. Let g(u) = -11*u**2 + 5*u + 2. Let c(j) = 5*g(j) + 7*o(j). Let r be (-464)\/56 - (-2)\/7. What is the tens digit of c(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 784 and 12320?\nAnswer: 86240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 467\/5 + -93. Let y = 18318.6 - 18315.6. Which is the biggest value?  (a) -11  (b) 0  (c) k  (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:12 PM and 8:53 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -291 + 51?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*i - 78 = 10*i. Suppose i + 53 = 22*f. Solve f*d = -1 - 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2208582 a multiple of 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -2*o**2 - 28*o + 207. What is s(6)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3.14 - 3.04. Suppose 3*s - 2*s = 4. Which is the nearest to v?  (a) 2\/5  (b) -2  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 27\/1252 and -43\/1252.\nAnswer: 1252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 3726439330 to the nearest 100000.\nAnswer: 3726400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.5 and -15117?\nAnswer: -7558.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the third derivative of m**6\/120 - m**5\/20 - m**4\/12 - 2*m**3\/3 + 2*m**2. What is the lowest common multiple of 11 and b(4)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the first derivative of -18*l**5\/35 - 11*l**4\/14 + 2*l**3\/3 + 11*l**2\/7 + 4*l\/7 + 19. Find j, given that w(j) = 0.\nAnswer: -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = t, 3*n = 2*t - 0*t. Suppose n = -2*a - w - 94 + 287, -5*a = 4*w - 487. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**2 + 98*c - 132. Give g(-98).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4815803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -58500 + 0?\nAnswer: -58500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 3*a + 47. Let u be r(-15). Let l(p) = 15*p**2 - 91. Let k(b) = -3*b**2 + 18. Let v(y) = u*l(y) + 11*k(y). Let q(c) = -c**2. What is q(v(s))?\nAnswer: -9*s**4 + 96*s**2 - 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6736.1 + 0.19315.\nAnswer: -6735.90685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (-9)\/18*(1 - 2).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -26\/5 and 49\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 331*s - 349*s - 126 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 78 + -67. Suppose 847 + 53790 = a*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/32 - 72\/1152. Let c(f) be the second derivative of 0*f**3 + s*f**2 + 0*f**5 - 1\/3*f**6 + 0 + 1\/6*f**4 - f. Find the third derivative of c(t) wrt t.\nAnswer: -240*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j**2 + 10*j - 9. Determine y(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 292*-2\nAnswer: -584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 22*t - 3. Calculate v(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000593 to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = 3*o - 26, p + 0*p + 14 = o. Suppose -4*y + o = y. Solve -u - 15 = y*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 52778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*c + 34 = -36. Suppose -3*y = 2*y - c. Solve -2*b - 4 = y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.11?  (a) 5  (b) -2\/13  (c) -10\/9  (d) -0.061\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = n - 9. Let r be 12000\/(1 - n)*-16. Round r to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 1. Let t = 0 - -1. Let w(j) = 5*j - 7. Let u(x) = t*w(x) + 4*k(x). Suppose 2*v = 4*f - 10, -5*f + 5*v = 2*v - 13. What is u(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, p: 3, h: 3, a: 4, o: 4, g: 2}. What is prob of sequence gp?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -7552 divided by 118?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -3*z + 12. Let h be g(3). Solve -3*k + h + 3 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**3 - 2*s**2 + 5. Let l(w) = w**3 + w**2 - 6. Let j(k) = -4*l(k) - 3*n(k). Let h be j(3). Solve -2*c - 8 = -h for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the second derivative of t**5\/40 - t**4\/2 + 29*t**3\/12 - 9*t**2\/2 - 699*t. Solve l(s) = 0.\nAnswer: 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1748 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 30606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6824, -8247, -9676, -11111, -12552, -13999, -15452?\nAnswer: -16911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4.01 + -0.01. Let d = 9.8 + -9.7. Which is the third biggest value?  (a) d  (b) 0  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2049794094?\nAnswer: 2, 3, 341632349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.5 in -3, -1.38, 39, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/4 of a decade in months?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1239504441265939 + -1239504358940359.0000003. Let l = -82325574 + c. Let h = l - 6. What is h rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 2*b**2 - 12*b + 8. Let m be v(6). Let w(y) = 2*y - 8. Let h be w(6). Suppose m = h*s - 12. Solve 0 = -3*o + 5*d + 29, -3*o = -o - s*d - 26 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 307 (base 13) to base 15.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -350 + 0?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4265 plus 2824567.84?\nAnswer: 2828832.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 59*u - 8515. Let j be k(145). Calculate the greatest common divisor of j and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5.269 - -0.269. Which is the fourth biggest value?  (a) r  (b) 0.2  (c) -2  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -257*h**2 + 6*h - 16. Let r(a) = -770*a**2 + 17*a - 45. Let x(b) = -6*r(b) + 17*t(b). Let k(m) = -2*m**2. Determine k(x(l)).\nAnswer: -126002*l**4 + 2008*l**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 + -1 + -12 + 51 + -3?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f + 13. Let d be x(-11). Suppose -18 = -5*q - 3*a - 6, 0 = -5*q + d*a + 17. Suppose 0 = -5*m - 5, -b - 8*m + 46 = -q*m. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = 4*j - 750, 2*b - 489 = -0*j + j. Let c = b + -176. Let s = c + 45. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16517 is divided by 1049?\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 196938*p**3*t**3 - 37999*p**3*t - 3*p*t wrt t.\nAnswer: 1181628*p**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2425 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 115\/924 and -13\/12.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 3\/5, 18\/11, 0.3, -53, 103, -4, 1\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.13 or -2\/106843?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/18 + (-204)\/(-54). Suppose -3*i - 186 = -3*t, -5*t - v*i + 137 = -146. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 - 16. Let l = -75 - -106. Let u = r + l. What is the lowest common multiple of u and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*r + 32 - 64 + 32.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7)\/14)\/(2\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -37 divided by 39?\nAnswer: -37\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -3740 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 270662042.\nAnswer: 2, 7, 109, 193, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the second derivative of 47*r**3\/2 + r**2\/2 - 12*r - 90. Let t(p) = -p. Determine o(t(v)).\nAnswer: -141*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -207, -744, -2181, -4968, -9555, -16392, -25929, -38616?\n\"Answer: -75*z**3 - 12*z - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a + q - 17 - 52, 3*q - 71 = -4*a. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(-7)*(-2)\/(-2).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 60329949 to the power of 1\/4, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2 + 3)*((-2415)\/(-616) - 4). Is t smaller than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 8*k + 10. Let r(a) = -5. Let u(x) = 8*r(x) + 4*y(x). Let j(d) = 21*d. What is -8*j(z) + 5*u(z)?\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 8\/3, -18.8, -5?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -2*h + 20. Let j(l) = 3*l**2 + 307*l - 200. Let k be j(-103). Give t(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.228389232 * 0.3.\nAnswer: 0.0685167696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 56*v**2 + 22*v - 41. What is n(4)?\nAnswer: 943","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the third derivative of -x**4\/24 - 6*x**2. Give o(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**2 + 12*p + 585. What is o(31)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t + 3 + 3 = 0. Let b(u) = 1. Let n be 1\/(-2)*-2 + 5. Suppose 3*g + 0 - n = 0. Let i(y) = y**2 + 2*y + 4. Calculate g*b(o) + t*i(o).\nAnswer: -o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1547 - 607. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = 3*f - 30. Suppose -39 = -7*n - 11. Suppose -34 = -2*r + f*i - n*i, -4*r + i = -70. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -13*h**2 + 2*h - 4. Give c(3).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 8 = f. Suppose f*y + 2670 = -y. What is y rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ql when two letters picked without replacement from lllqllllllll?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1382796 divided by -142?\nAnswer: 9738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t + 2*t - 57 = -6*p, 2*p - 81 - 14 = 25*t for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in twenty-one quarters of a milligram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3380)\/195*(-2)\/((-4)\/(-117)). Calculate the highest common factor of s and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*w**2\/5 - 504*w\/5 + 15876\/5.\nAnswer: 4*(w - 63)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 27949 and 41857?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from dxxrx?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-39*w - 37*w - w)*(-2*w**3 + 2*w**4 + 2*w**3 - 17 + 17 - 10*w**4 + (-2*w**3 + 0*w**2 + 0*w**2)*(-w - 5 + 5)).\nAnswer: 462*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*b - 14434 = 19145. Is 18 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the second derivative of -t**4\/12 + t**3\/6 + 4*t**2 - t. Suppose 163*u = 160*u - 3*v + 21, 4*u - 2*v = -14. What is p(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 3 - (-5 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/5 of a millennium in months?\nAnswer: 76800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -28*h**4 - 6*h**3 + 450*h - 1593682 wrt h?\nAnswer: -112*h**3 - 18*h**2 + 450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -8*u - 30. Let q be h(-14). Suppose q = 4*r + 10. Suppose 10 = 2*x - 0*x. What is the remainder when r is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3008 + 1?\nAnswer: 3010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**2. Let w(j) be the second derivative of -j**4\/6 + 7*j**3\/3 + 9*j**2 + 12*j. Let x be w(8). Let h(k) = k + 4*k + 4*k + x*k. Calculate h(u(q)).\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -6*sqrt(147)*3.\nAnswer: -126*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:29 AM and 3:27 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 1076 + 3821 = 0. Calculate the greatest common divisor of m and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b. Let i(x) = -189*x**2. Give k(i(u)).\nAnswer: 189*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -77*b + 53*b - 212 + 596 = 0 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -179\/600 and -29\/3825?\nAnswer: 30600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 0*y**2 - 402 - 2*y**2 + 208 + 195. Let c(a) = a**2 - 1. Give 4*c(p) + l(p).\nAnswer: 2*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**3 - 2*r**2 - 2*r - 13. Let q be v(4). Solve -2*d + 3*p = -0*p + q, -2*p + 3 = 3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -6 - (4\/3 - (-32)\/(-6)). Which is the closest to -2\/7?  (a) 8  (b) y  (c) -1\/5  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3286497 is divided by 3151.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5913659?\nAnswer: 173, 34183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 6*y**2. Let c(k) = 876*k. What is n(c(f))?\nAnswer: 4604256*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 806 is divided by 787?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -k**5\/4 + 2*k**4 - 3*k**3\/2 - 2*k**2 + 7*k\/4 = 0. What is k?\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, o: 1, v: 2}. Give prob of sequence ow.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16 + -1. Suppose 37 = o + u. Suppose 4*n - o = -2*x, -3*x - n - 4*n + 30 = 0. Solve 7 = -x*v - j, -j + 1 + 0 = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16240741051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4463*h - 902*h - 900*h - 899*h - 884*h - 898*h.\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.6 - -0.4. Let y = -5.4 - -1.4. Which is the nearest to n?  (a) y  (b) -2  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from imieeidimme?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the first derivative of -v**4\/4 + 2*v**3 + 3*v**2\/2 - 8*v - 4. Suppose -928 = 19*s - 1144 - 468. Calculate the remainder when s is divided by m(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(33)\/(sqrt(55)\/sqrt(5))*-3)**2 + 0 + (2 + sqrt(12))**2.\nAnswer: 8*sqrt(3) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 38 = -2*j, j - 19 = -2*r + 37. Let i = -1 - -71. Suppose q = -f + 76, 5*f = -q + 2*q - i. What is the highest common divisor of q and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 824242.7 millilitres?\nAnswer: 824.2427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -285, -321, -359, -399, -441?\n\"Answer: -a**2 - 33*a - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 918 divide 235632095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 96 + -287\/3. Put s, -4, 5, 1 in descending order.\nAnswer: 5, 1, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/(-44) - (6\/33 + 0). Which is the second smallest value?  (a) 4  (b) -0.3  (c) 0.1  (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 167021887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(0 + (sqrt(11) + 1 + 2)**2).\nAnswer: 24*sqrt(11) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p - 0*p - 188. Suppose -782 = -5*i - 2*d, -2*i - 2*d + 214 + p = 0. Suppose l + l = i. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l + l - 4*l)*(7*l**2 - 6*l**2 - 80*l**2) + 3*l**3 - 3*l**3 - 2*l**3 + (6*l - 3*l - 2*l)*(-2*l**2 - 2*l**2 + 2*l**2) + 2*l**3 + 0*l**3 - 3*l**3.\nAnswer: 153*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4055 and 10.\nAnswer: 8110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -8*a - 12. Let y be t(-4). Suppose -25 = r - y. Let k = -2 - r. Sort k, 2, 0 in ascending order.\nAnswer: 0, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 5*u**3 + 11*u**2 - 3*u - 10. Let s(y) = 4*y**3 + 10*y**2 - 3*y - 9. Let b(a) = 5*o(a) - 6*s(a). Give b(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) -815  (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -78862188 divided by 3.\nAnswer: -26287396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*v = 3*v - 2*j - 37, -5*v + 26401*j - 26406*j = 80 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + sqrt(2736) + 1 - (0 + sqrt(2736) + 0)) + -2 + 3*sqrt(2736) + 4 + -1)**2.\nAnswer: -216*sqrt(19) + 24633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*a = -3*a - 57. What is the remainder when a is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*h + h + 3*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**3 - i**2 - 2*i + 4. Suppose 5*y = -3*w + 5, 5 = -44*y + 49*y. Give s(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3 + 69\/21)*(-3)\/(-6). Put 1\/6, i, 0.2 in ascending order.\nAnswer: i, 1\/6, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1, -5\/2, 1.\nAnswer: -3, -5\/2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, a: 3}. Give prob of picking 2 a.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*g*i**4 - 9*g*i**3 - 17*g*i - i**2 + 3*i + 2 wrt i?\nAnswer: 24*g*i**2 - 54*g*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g**3 - 10*g**2. Calculate x(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 408, 822, 1268, 1758, 2304?\n\"Answer: 2*w**3 + 4*w**2 + 388*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*s = 280507 - 51304. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -63\/20 and -103\/5518?\nAnswer: 55180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -11000430 - 3?\nAnswer: -11000433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2801960.\nAnswer: 2, 5, 7, 10007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -605?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 29598?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/18 and (-14466)\/11520*-4 + -3 + -2.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**3 + 12*k**2 - 12*k + 9. Let m be x(11). Let a be (-11 - m - -1)\/(-2). Suppose -2*j - j = -4*d + 101, -a*j = 2*d - 34. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41938 - 84063 + 42125 + 5*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*a - 2*a + 3*a - 1.\nAnswer: 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a = 3*w - 17, 15*a + 93 = 20*a + 14*w for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10695 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10185 and 875.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 0.1, -4, -5303, -5859 in descending order.\nAnswer: 0.1, 0, -4, -5303, -5859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 19*p. Let g(j) = 39*j**2 - 2308 + 2308. Determine g(i(n)).\nAnswer: 14079*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*n**3 + 7*n**3 - 30*n + 30*n.\nAnswer: -23*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 63947 or 63910?\nAnswer: 63910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 275 a factor of 127273575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 18*g**3*q**2 + g**3*q - g**2*q**2 + 3*g**2*q - 21*g**2 + 2*g + 390*q**2 + q wrt q?\nAnswer: 36*g**3 - 2*g**2 + 780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 506264?\nAnswer: 2, 11, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-64)\/6)\/(12\/(-522)).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8.1?  (a) 28  (b) 0.1  (c) -8.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7 - 7*x + 7)*(-x + 0 + 2 + 0*x)*(-3*x + 3*x - x) to q*x + g*x**3 + p + c*x**2 and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 14624, 14318, 14034, 13778, 13556, 13374, 13238?\n\"Answer: c**3 + 5*c**2 - 328*c + 14946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -11105 (base 7) to base 14\nAnswer: -103c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -331195, -662390, -993585, -1324780, -1655975, -1987170?\nAnswer: -2318365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -1 + sqrt(2) + (sqrt(2) - sqrt(512) - sqrt(2)) + (sqrt(200)*2)**2 + (1*sqrt(8))\/sqrt(4).\nAnswer: -14*sqrt(2) + 795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 655 + -658. Let c = -651\/55 - -150\/11. What is the third biggest value in j, 2, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4598*r + 2313*r = -2300*r + 510 for r.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ussusfsuusnffs. Give prob of picking 1 u, 2 s, and 1 n.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 16 = -9*k. What is the closest to -2\/5 in k, -3, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 716, 720, 722, 722, 720, 716?\nAnswer: 710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 698 = 2264. Let q = h + -121. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 70 = -2*p, 2*u + 11 = 3. Let f = 34 - p. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -2*x**2 - 1581201. Let w(u) = -22*u. Calculate q(w(j)).\nAnswer: -968*j**2 - 1581201","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 406, 856, 1306?\nAnswer: 1756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -525123, -525130, -525141, -525156, -525175, -525198, -525225?\n\"Answer: -2*y**2 - y - 525120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 11, a: 5}. Give prob of picking 3 i.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 4*j = -12, 5*g = -4*j - 44 + 136. Suppose -w = -5*w + g. Solve -v + 4 = -2*r - r, 22 = r - w*v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2478466 to the nearest integer?\nAnswer: 1574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -19 + 54c8854?\nAnswer: 54c8838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*y - 28 = 32 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -8 + 5 - -5 - (2 - 4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*x = 182 - 86. Let i be 24\/x - 120\/(-25). Factor 0 - 2\/5*z**2 - i*z.\nAnswer: -2*z*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -33*93\/682*-8?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 682 and 248?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 77 = -2*f + 339. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/13  (b) 90  (c) 4.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 43a53 (base 14) to base 5\nAnswer: 20221204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -174, -407, -696, -1041, -1442, -1899, -2412?\n\"Answer: -28*m**2 - 149*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5681 and 4807.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((-112)\/(-224))\/((-2)\/((-60)\/(-3)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -12*i - 1. Suppose 2*g - 6 = 3*a, -5*g - 8 = -a + 3. Let s be g + 2 + (-5 - -4). Give x(s).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w - 23. Let k be d(11). Which is smaller: 2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.5, -0.06, 6, -3\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1797b7 (base 16) to base 11\nAnswer: 966727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 20 + -20.02. Let o = 17.7 + -17.2. Let l = 4 - 4.1. What is the smallest value in v, l, o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4285 - 4283. Let n(y) be the first derivative of 3\/2*y**l - 16*y + 18. What is the first derivative of n(i) wrt i?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 2*a**2. Let v(t) be the second derivative of 49*t**3\/6 + 19*t. What is v(h(s))?\nAnswer: 98*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/8 and -97\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 92926939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -3*c**2 + 1. Let t be a(1). Let n = t - -12. Calculate the remainder when 19 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 83070120 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of 31 and 77.\nAnswer: 2387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, 5, 4, -4253, -1 in descending order.\nAnswer: 5, 4, -1, -2, -3, -4253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 64856478935 from 1964.\nAnswer: -64856476971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**3 - 3*m + 2. Suppose -2 + 0 = -4*z - 2*p, 4*p = 2*z - 16. Calculate f(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r + 3*l + 2, 3*l + 3 = -4*r - 1. Suppose r*k = -74 + 8. Let f be (-39)\/k + (-4)\/22. What is the greatest common factor of 2 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 36 and 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*w - 7*w + 3*w + (-34 - 37 - 7)*(-w + 0*w + 4*w))*(-1 + 2 - 2) + w + w - 6*w to the form i + a*w and give a.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t**3 - 8*t**2 + 5. Let p be y(8). Suppose -p*f + 19 = -1, 3*a - 5*f = 7. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 - (-6 + (-56)\/(-12))*48. Suppose 0 = 5*f - k + 6. What is the remainder when 126 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - (-12 + 11)) + -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.07 - 0.37. Let x = 4.3 + a. Let g = 0.07 - 1.07. Put 0.04, x, g in decreasing order.\nAnswer: x, 0.04, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21\/(-9)*8\/((-40)\/45) is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 93, -13, 11, 1\/7, -4, -99?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 5, q: 1, w: 3, r: 7, j: 2}. Give prob of picking 1 r, 1 w, and 2 s.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1778*q + 3653*q - 242*q)*(-2*q**3 + q**3 - 2*q**3) - 2*q**4 - 2*q**3 + q**4 + 2*q**4 to the form o*q**3 + k*q**4 + d + f*q**2 + g*q and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13358 is divided by 13342.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**2 - 176*f + 1974. Let o be j(12). Solve o = -i + 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14850814?\nAnswer: 2, 11, 109, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 1464*c - 7297. Let g be s(5). Solve 0 = g*w + 113*w - 544 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t + 1. Let l be n(-3). Let i be ((6\/(-5))\/(-3))\/((-2)\/(-20)). What is the greatest common factor of l and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1323 or -0.5?\nAnswer: -1323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 - 290104?\nAnswer: -290100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1176 and 4242?\nAnswer: 118776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4635 is divided by 385?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -200 - -202.77. Let p = f - 2.5. Let l = 0.2324 - p. What is l rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 5*y**2 - 9*y**2 + 5*y**2 + 56 - 29*y. Let m be o(27). Find c, given that 3\/11*c**m + 1\/11*c - 3\/11 - 1\/11*c**3 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14877?\nAnswer: 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 788657 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i**3 + 36874194*i**2 = 0.\nAnswer: 0, 18437097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 10 = -p. Solve 15 = 5*b + 2*k, -b - 4*b + p = 4*k for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**3 + 80*y**2 - 887*y - 226. Calculate o(-90).\nAnswer: -1396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/4)\/((-33)\/24 + 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/4 + 22\/24. Let b = 0.11 + 0.19. Are b and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 3*c**3 - c + 1. Let s = 44 - 46. Let i(a) = a**3 - a + 1. What is s*i(x) + 2*h(x)?\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 20188 and 336?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -4745*(-2 + -1 + (-3 - (-26)\/5)). Calculate the highest common divisor of 104 and g.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ttrr when four letters picked without replacement from {t: 8, r: 5}?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*o - 5 = -35*o, 0 = -5*s - 3*o + 58673. What is s rounded to the nearest one hundred?\nAnswer: 11700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -49\/60 + 16\/15. Is -2 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + 2 + 3 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 88677\/136773 + 2\/(-26)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.85825 * -3.\nAnswer: 5.57475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in eleven halves of a decade?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -7*n**2 - 166*n - 588. Determine s(-13).\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -h**6*n + 104*h**4*n**3 + 3*h**2*n**3 + 2*h**2*n + 4 wrt h.\nAnswer: -120*h**3*n + 2496*h*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -5496*o + 22375. What is i(4)?\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 41100133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 2 + -9 - (10 - 36).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is a + 17c?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes before 3:54 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 26*u**3 + 3*u**2 - 9*u - 73. Determine b(-4).\nAnswer: -1653","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 8202626 to the power of 1\/2, to the nearest integer?\nAnswer: 2864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 3\/10 of a day?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11660, 10994, 10328, 9662?\nAnswer: 8996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4492 - 89763\/20. Calculate the common denominator of 43\/40 and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 248 + -242.76. What is q rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o. Let z(s) = -2*s - 4. Let p be z(-4). Let y be ((-10)\/p)\/((-2)\/(-4)). What is g(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 9) in base 15?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -15\/7 smaller than -616\/8139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -29 - (-30 + 53 - 19).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (-7 - (-1 - 1)) - 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 95212 to the power of 1\/2, to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 3*t**3 - t. Let z be b(1). Let p be 4\/6 + 0\/z. Let y be (-24)\/(-108) - -1*(-4)\/(-63). Which is smaller: y or p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9914.7352 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = k**2 - 3*k - 2. What is the least common multiple of w(-2) and 0 + (1 - 3 - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1396 + -1373.18. Let y = c + -19.4. What is y rounded to one dp?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 110001111 (base 2) to base 3\nAnswer: 112210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 137 - 136.784. Let u = -321.784 - l. Let f = u + 322.00000317. Round f to seven decimal places.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1999*h**3*k*q**3 + 4*h**3*k*q**2 + 6850*h**2*k*q**2 - h**2 - 1681*h*k*q**3 - 51*q**2 wrt q.\nAnswer: -11994*h**3*k - 10086*h*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 16*p**3 - 2*p - 207 wrt p.\nAnswer: 48*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*y = 14*y - 19*y. Suppose -4 = -4*p + 40. Suppose -7*h + p*h - 152 = y. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 118178361 to the nearest 1000000.\nAnswer: 118000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -234*d**3 - 66 - 32 - 31.\nAnswer: -234*d**3 - 129","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -22.3 + 22. Which is the nearest to o?  (a) -2\/7  (b) 3  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**12\/a*a*(((a\/a**26)\/a)\/a)\/a)\/(a**2\/a**(-3\/2)))**(-16) assuming a is positive.\nAnswer: a**296","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 35, -10, -5 in decreasing order.\nAnswer: 35, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2374797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -13326, 0 in ascending order.\nAnswer: -13326, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 837.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qfw. Give prob of sequence fw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27561?\nAnswer: 3, 9187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-188)\/799)\/(15*6\/(-153)). Factor 0 - 8\/5*l**3 + z*l**4 + 2*l**2 - 4\/5*l.\nAnswer: 2*l*(l - 2)*(l - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8333266924 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 4*t. Let o(b) = -b + 2. Let a(z) = 1. Let w(m) = 2*a(m) - o(m). Give g(w(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -182247?  (a) -1\/2  (b) 0.1  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) 0  (c) 2.4  (d) 4  (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38 + 38 + 10528*w**3 - 10526*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 5, y: 6, w: 6, g: 1}. What is prob of picking 2 y and 1 f?\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 2*o - 34. Let t be x(19). Suppose -2*u = 2, -t*p + 3*p - 3*u = 6. What is the third smallest value in 1\/5, p, 0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5)\/(-10))\/((658\/84)\/(-47)*3\/14)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 563*c**3 - 160?\nAnswer: 1689*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xccc when four letters picked without replacement from xxccc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 4*w - 31. Let i(z) = -33*z - 11. Let f be i(-2). Suppose 48*c = f*c - 49. Calculate b(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12\/703 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the second derivative of -v**5\/30 - v**2 - v. Let k(l) be the first derivative of m(l). Let u(h) = 2*h**2 + h**2 - h**2. Calculate k(u(c)).\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cwcwcuccw. Give prob of sequence uwcw.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(2\/5)\/h)**(-1\/51)*h**(-7\/3)*h\/((h**(-6\/7)*h)\/h))**(-1\/10) assuming h is positive.\nAnswer: h**(829\/17850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*(sqrt(49)*-4 - sqrt(49)))\/sqrt(7))**2*4.\nAnswer: 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes before 12:56 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 105\/20 + (-4 - (-15)\/4). Solve y + 2*d = -11, -3*y - g*d = 2*y + 30 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the second derivative of -t**5\/20 + 5*t**4\/12 - t**3\/6 + 2*t**2 - 4*t + 66. Suppose -20 = -0*q - 4*q. Let j be n(q). Is 3\/8 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i - 20 = 2*i. Suppose i*s = -p + 5, 3*p + s + s = -35. Let y be 9\/1*(-5)\/p. Solve 0 = u + 3*u - y*v - 27, -u - 22 = 5*v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 67 - 56. Suppose 5 + 17 = p*l. Sort 1, -56, l in increasing order.\nAnswer: -56, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2\/9 - -5\/18. Let d(u) = u**3 - 6*u**2 + 6*u - 5. Suppose 5*l + 30 = 2*x, 2*x - 8 = -l - 2. Let a be d(x). Which is smaller: g or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:52 PM and 4:35 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -6*2\/(-2 + -2). Suppose -2*v + 7*f - 3*f = 38, -15 = -5*f. Let p = 10 + v. Sort b, 2, p in ascending order.\nAnswer: p, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 k when two letters picked without replacement from kccppa?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -3\/7, -2\/39, -7\/45392?\nAnswer: -7\/45392","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 30\/(-165)*3\/6?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one twentieth of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -93 (base 10) in base 2?\nAnswer: -1011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -101550 to the nearest one thousand.\nAnswer: -102000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 3\/40 of a millimeter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*-1*(4 + 1*(sqrt(320) + sqrt(320) + -4 + 3)*4)**2*6.\nAnswer: -614400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27090 divided by -1935.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 42 - 39. Solve -y = -3, -3*j - 2*y = -4*y - d for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/3*110\/2464*-12.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.7?  (a) -5  (b) 5  (c) 4\/7  (d) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the second derivative of -5*k**4\/12 + 5*k**3\/3 - 5*k**2\/2 - k - 3. Factor y(n).\nAnswer: -5*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(5 + 3) + (-3)\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f. Let u be h(3). Let y(q) = -24*q**3 + q**2 + 23*q**3 - 3 - 4*q - 5*q**2. Let n be y(u). Solve 7*c - 2*c + 3*a + 5 = n, -5*a = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1 + 2*-2)\/((-39)\/(-2756)). Let g = -190 - c. Solve 4*l - 3*m = 17, 6*l - 2*l + 2*m - g = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-360)\/42)\/(-10)*42. Suppose -50*f + 28 = -x*f. Solve 0 = -a + f*a - 3*n - 3, 5*a - 2*n - 2 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18823894 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l\/l**8)*l*l**4\/l*(l**1\/l*l)**(-2\/9))\/(((l\/(l\/(l\/(l*l*l*l\/l**(-2\/5)*l))))\/l)**37)**(2\/3) assuming l is positive.\nAnswer: l**(6524\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -2\/17, -1\/6 in decreasing order.\nAnswer: -2\/17, -1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*k + 17*k = 128. Suppose k*n = 6*n + 10. Let v = 30 - 21. What is the highest common divisor of n and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -s**2 - 7*s - 5. Let c be v(-5). Let c*w**5 - 3*w**5 - 3*w**5 + 4*w**5 = 0. Calculate w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*y - y - 4*y)*(220*y + 171*y - 281*y) + (-3 - 2*y + 3)*(-4*y + 3*y + 0*y) + 0*y**2 - y**2 + 0*y**2.\nAnswer: -109*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-144)\/(-14) - 3) + -64 + 57. Solve b*k**2 - 4\/7*k - 6\/7 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -137023 (base 11) in base 7?\nAnswer: -1551554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 + 5. Let j(y) = -7*y + 59. Let d be j(8). What is the nearest to 0.2 in -5, h, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*f - 59*f = 7*f - 1442 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10289104 and 6?\nAnswer: 30867312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6 and 123540168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5161?  (a) 3149  (b) 3\/7  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the first derivative of 15*a**4\/4 + 10*a**3\/3 - 35*a**2\/2 + 10*a + 13. Factor m(x).\nAnswer: 5*(x - 1)*(x + 2)*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1240084 + -14?\nAnswer: 1240070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -1  (b) 7452  (c) -0.2  (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 2 + q**2 + 7*q + q + 16*q**3 - 11*q + 5*q. Is x(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.02 + -0.03. Let t = d - 3.99. What is the nearest to 1 in 5, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 62 + 93. Suppose 7*r - z = 2*r. List the prime factors of r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.001232635 to 6 decimal places.\nAnswer: 0.001233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 49 + 70*d - 49.\nAnswer: 70*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.5?  (a) 1\/2  (b) -0.14  (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 896 is divided by 279?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 - 2023111113?\nAnswer: -2023111113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the second derivative of p**6\/60 - p**5\/8 - 121*p**4\/24 - 415*p**3\/12 - 75*p**2 - 8108*p. Solve b(k) = 0 for k.\nAnswer: -5, -4, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14134 - -14139. What is the greatest common divisor of s and 13045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, d: 7}. What is prob of sequence ddd?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the first derivative of f**6\/3 + 2*f**5\/5 - f**4\/2 - 2*f**3\/3 - 4. Determine g so that k(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000013138 rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 111 + -71. Let g = z + -41. What is the closest to g in 1\/4, -1, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w\/w**(-5\/3)*w\/(w\/(w\/w**0)))\/((w*w**(5\/2)*w)\/w)**(3\/14))**(-2\/89) assuming w is positive.\nAnswer: w**(-47\/534)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 17060 rounded to the nearest one hundred?\nAnswer: 17100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 5 = -3. Let b be ((-2)\/16)\/(s\/(-12)). Suppose -g - 3*g = 4. Does g = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -31696727, -31696724, -31696721, -31696718?\nAnswer: -31696715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w + w + 4*w)*(w - 1 + 1)*(-2*w**3 + 3*w**2 - 3*w**2).\nAnswer: -14*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-2)\/(-1))\/((-6)\/3))\/((-375)\/(-3000)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 678\/(-18) - -38 - (-28241)\/3. Calculate the highest common divisor of 126 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -257 times -0.3?\nAnswer: 77.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-1\/2))**(2\/99)\/(t**4\/t)**(-46))**(-1\/21) assuming t is positive.\nAnswer: t**(-13661\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6375552 centimeters to millimeters.\nAnswer: 6.375552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11 + -15. Let w(g) be the second derivative of -g**3\/3 - g. Give w(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - y - 6851 = 0, r + 3*y - 1180 - 1097 = 0. What is the remainder when r is divided by 53?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2003.\nAnswer: 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 262515.\nAnswer: 3, 5, 11, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in 4515, -0.537, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ccccccccctccccc. Give prob of picking 4 c.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-15)\/(-3)*(-32)\/(-200)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p**3 + 13*p**2 - 9*p - 16. Let f be u(12). Suppose -2*s + 58*l = 61*l - 169, -l = -3*s + 237. Calculate the highest common divisor of s and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {l: 5, r: 4, b: 5, x: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -220207*o**5 + 2*o**2 + 64431*o wrt o?\nAnswer: -13212420*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-23 - -3) + 120 + -94\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 456060435?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 2*c**2 - 7*c + 0*c**2 + 0*c**2. Let x(s) = -5*s**2 + 20*s. Suppose 35*j = -129*j - 984. Calculate j*x(l) - 17*k(l).\nAnswer: -4*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*t - 33 - 2*t**2 + 92 - 31 - 30 to k*t**2 + n*t + b and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = 109 + 203. Let w = -22 - g. Calculate the highest common factor of 14 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 163 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of (-17 + 7)*(-5)\/(-20)*-96 and 750.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -87*u - 15 = -88*u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -2*w. Let i(v) = 431833*v. What is n(i(c))?\nAnswer: -863666*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -2168000 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u**4 - 147*u**3\/4 - 379*u**2\/4 - 42*u + 17 = 0 for u.\nAnswer: -34, -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 5*o - o + 1 - 1 + 3. Let a(c) = -11*c - 399. Let m(g) = -g - 38. Let t(z) = 2*a(z) - 21*m(z). What is t(x(p))?\nAnswer: -4*p - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6 - -30. Suppose -z + 4*h = -37, 0*z = z - 5*h - k. List the prime factors of z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 128 + -91. Let x be 0 + 2\/1 + 0. Let q = x + 11. Calculate the remainder when w is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/(-5) + 23\/5. Suppose 0 = -h + 9 + k. Does 14 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 507259836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -18720 divided by 39?\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 202*k**3 - 16*k**2 - 18*k - 6. Does 34 divide u(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1033632 = -0*n - 4*n + 4*z, 0 = 7*n + 3*z - 1808806. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:29 AM and 3:36 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k**3 + k**2 + k. Let r be p(0). Let m be (10 - r)*(-336)\/(-5). Suppose -2*t + 326 = -m. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 108 divide 831754008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -25445, -25427, -25409, -25391?\nAnswer: -25373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:57 AM and 1:52 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -5, 15, 0.0258, -3\/5?\nAnswer: 0.0258","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 16435653?\nAnswer: 5\/16435653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the third derivative of 17*r**5\/60 - 29*r**2. Let o(f) = 2*f**2. Give o(h(s)).\nAnswer: 578*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*l + a - 5, -2*l + 3*a - 4 = -5. Let t(v) = -l*v + 1 + 36*v**2 - 22*v**2 - 2. What is the tens digit of t(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) 0.3  (c) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b + 3903 + 3213. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -2*c. Suppose -2*d - g = -0*d - 12, 3*d - 17 = -2*g. Suppose 4*f = -0*k + k + d, -5*k - 14 = f. What is p(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**2. Let b(l) be the first derivative of 2*l**3\/3 - 7*l - 33. Determine b(u(m)).\nAnswer: 2*m**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 4*y. Let d be h(1). Solve 5*s = -5*z + 5 + 5, -d*s - 5*z = -12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1434156748 by -358539187.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -73 divided by 2\nAnswer: -73\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-10)\/40*(-9)\/(-573). Let o = p + 17769\/1528. Calculate the common denominator of 746\/(-120) + 6\/9 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that n**5\/5 + 1340659*n**4\/5 + 449340968239*n**3\/5 - 449343649559*n**2\/5 - 89868193648*n + 89868461780 = 0.\nAnswer: -670330, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = 5*l - 7940, -l + 3179 = 3*p - p. Suppose 0 = -8*n + p + 561. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 171 divided by 145\nAnswer: 171\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 2*b**2 - 5*b - 17. Let l(r) = -2*r**2 + 514*r - 1531. Let f be l(3). Let u(v) = -3*v**2 + 7*v + 26. What is f*h(z) - 5*u(z)?\nAnswer: z**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 22*g - 17*g = -110180, -3*g = 2*l + 110188. What is l rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.048 and -0.929.\nAnswer: -0.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 49124*c + 10784*c - 5096*c + 820*c.\nAnswer: 55632*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/10355  (b) -3\/4  (c) 97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 24181753?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b. Let n(r) = -13798*r. What is n(y(f))?\nAnswer: 13798*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*f - w - 6, 5*f = -4*w - w - 20. Let i be f\/((-1)\/(-8)*-2). Suppose -i*j - 2*n - 2 = 0, 5*j + 0*n = -n + 2. Put -3, j, 4 in decreasing order.\nAnswer: 4, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 446767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 219 + -93. What is the common denominator of -23\/2 and ((-2)\/(-32))\/((-3)\/u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12999828.\nAnswer: 2, 3, 1083319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -0.2, 2.9, 1\/3?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4 + 5)*-3*2. Let t = 12 + q. Suppose -y = -t*y - 51500000. What is y rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3263.470212 rounded to 1 dp?\nAnswer: 3263.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -347 = -23*f + 5*f - 41 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + a + 30 + 865 = 0, 0 = -4*a. What is the remainder when h is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11 - 13. Suppose 0 = 2*m - 0*m - 2. What is the fourth biggest value in l, 1\/5, m, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (2630\/325 - 2) + -7 and 10\/13.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1760, -1581, -1402, -1223, -1044?\nAnswer: -865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -91365 divided by 2?\nAnswer: -91365\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the first derivative of -b**2\/2 - 8*b + 22. Let u be r(-4). Let a(g) = -6*g - 9. Let v(j) = -5*j - 8. Calculate u*a(x) + 5*v(x).\nAnswer: -x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 8*h - 25. Let k(j) = j**2 + j - 1. Let d be k(-3). Suppose 5*c + i - 5 = c, -d = -h*i. Which is smaller: c or 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*n - 181 + 37. Let h(v) = -68*v - 31. What is the tens digit of h(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -1101*z - 14511. Let q be s(-17). What is the highest common divisor of q and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 - -2.1. Let t = -41 - -7. Let v = t - -69\/2. What is the third biggest value in v, -4, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (x + 6*x + 3*x)*(x**3 - 104*x**2 + 104*x**2) to the form r*x**3 + d*x + p + z*x**2 + b*x**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -62 + 56. Let p(z) = -4*z**2 - 5*z - 6. Let g(h) = 24 - 12 - 9*h - 7*h**2 - 23. Give j*g(d) + 11*p(d).\nAnswer: -2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 17388012 to the power of 1\/4, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 22.694 - 22.394. What is the fourth biggest value in 1, 0, x, -1, 37?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2*(2 + -1) - 70. Let m = -12 - v. Let s = -2 + 9. What is the greatest common divisor of m and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -2, 2, 1.4, -0.04, -0.4, 2\/55, -4\/5?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 926 + -949 + (21 - -1) + (-8 - -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45642739.\nAnswer: 17, 73, 36779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 24 and 196.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*z = -8*z. Suppose z*a = -4*a - 12. Let b(l) = 5*l**3 - l**2 + 2. Let v(n) = -4*n**3 + n**2 - 1. Determine a*v(p) - 2*b(p).\nAnswer: 2*p**3 - p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 7*2*11\/7. What is the greatest common factor of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3.6 and 153073.\nAnswer: -551062.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-10)\/(-4)*(-6)\/(-5). Suppose -5*y + 3*q - 5 = -4, 3*q = g*y - 3. Let h be ((-60000)\/18)\/(y\/606). Round h to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4.8 + 5. Let x = -22.5 + 18. Let q = -5 - x. What is the third biggest value in u, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -11 + 4*o**2 + 0 - 38*o**2 + 18*o**2. Let q(z) be the third derivative of z**5\/20 + z**3\/3 - z**2. Determine -4*g(h) - 22*q(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -502*s**3 - 10*s**2 - 1. Let h be w(2). Is h smaller than -4057?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (22\/(-99)*-27)\/(2 + -1). Solve 0 = a*u - u - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2099a (base 11) to base 15.\nAnswer: -9070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 40 (base 6) to base 16\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the third derivative of r**10\/15120 - r**6\/80 + r**5\/10 - 6*r**2. Let c(f) be the third derivative of u(f). Differentiate c(w) with respect to w.\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-72)\/60)\/(2\/(-25)). Suppose -s = -0*d + 5*d, d = -u + 2. Is 1*(-970)\/((-25)\/u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 2\/9  (b) 0.065  (c) 2  (d) -842  (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 57, 0.4, -5, -7\/13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*g - 42*g - 4*n + 8 = 0, -2*n = -g - 4. Let d(v) = 0*v**2 - v + 33 - v**3 - 14 - v**2. List the prime factors of d(g).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-54 - 0) + -7841 + 7810.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -15 + 16. Let n be m\/((-7)\/(-2) + -3). Suppose -2*q = n*z - 38, 5*z - 5*q - 171 = -26. Round z to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1558 minus -212.82?\nAnswer: -1345.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9027240*q**5 + q - 1448891 wrt q.\nAnswer: 180544800*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-160)\/15)\/4*624\/(-64). What is the highest common divisor of 8359 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 2*l**2. Let j(o) be the second derivative of 5*o**3\/6 - 7*o. Determine j(a(t)).\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2\/129 - -121\/516. Let d = -0.3 - -0.2. Let k = -0.5 - d. What is the third biggest value in o, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -13 - -8. Let f(l) = -2*l**2 - l + 1. Let x be f(-3). Let v = 29\/2 + x. Put -0.4, b, v in increasing order.\nAnswer: b, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 - 4 + d + 6 + (-2 - 2*d + 2)*(-23 - 14 + 26) to the form p*d + v and give p.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39*-2.2.\nAnswer: -85.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -56*h. Let k be -2 + (-3)\/(6\/(-2)). Let o be (1\/(3 + -4))\/(k + 2). Is 7 a factor of s(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -3*m**3. Let g be h(-1). Let z be (27\/(-81))\/((-19)\/(-9) + -2). Put 4, g, -5, z in decreasing order.\nAnswer: 4, g, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 928048 is divided by 690.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wpw when three letters picked without replacement from owwwwowoppwoopwop?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 661 minutes after 2:34 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 27006 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:46 PM and 6:30 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -6*l**2 + 3283*l - 9837. Give p(3).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2*-1207.6177.\nAnswer: 241.52354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 81 and 4149.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from czxgvxqcqggczzxcg. What is prob of picking 1 z and 1 c?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8410000.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -346 or -735?\nAnswer: -346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.42545 millilitres to litres.\nAnswer: 0.00142545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.7  (b) -0.01  (c) 405  (d) 1\/4  (e) 38\/7  (f) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1594894800 to the power of 1\/3, to the nearest integer?\nAnswer: 1168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:12 AM and 4:39 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -379 - -377. Let s(b) = b + 6. Let f be s(-7). Sort 7, f, c.\nAnswer: c, f, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.2  (b) 3  (c) -30  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2937?\nAnswer: 3, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11571425 - -1.\nAnswer: 11571426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2146 and 69042?\nAnswer: 2002218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*n**3 + 7 - 3*n**4 - 7 + (1 - 2*n - 1)*(4*n**3 - 2*n**3 + n**3).\nAnswer: -9*n**4 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 212, 437, 650, 845, 1016, 1157, 1262?\nAnswer: 1325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/4 + 1\/2. Let j = 69 - 64. Suppose -j*c - 3070947 = -5*t + 24929053, r = 3*c. Round t to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9280 and 3427220?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1 - (-30)\/(-25))*2172*1. Let y = a + 437. What is the second biggest value in y, -2, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 87\/4027 or -0.0216?\nAnswer: -0.0216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 7 divided by 15673900\nAnswer: 7\/15673900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 385106383 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 138 is divided by 45.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1644375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*l**2 + 4*l**2 + 15*l**2)*(-5 - 3 - 6 + (-4 + 0 + 14)*(-2 + 1 - 1)).\nAnswer: -442*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -16529, -33111, -49691, -66269, -82845?\n\"Answer: t**2 - 16585*t + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-169 - 70 - 68 - 534)*(2*b - 2*b - 4*b**2) in the form r*b**2 + l + h*b and give r.\nAnswer: 3364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 17ac0 (base 15) in base 16?\nAnswer: 12b88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a micrometer in nanometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -18*g**5 + 1047*g**4 + 7*g**3 + 140*g**2 + 3658?\nAnswer: -1080*g**2 + 25128*g + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = -5*f - 117. Let i be f\/(-3) + 4\/(-6). Solve -3 = i*v + 2*l, 0*v + v = -l for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 3, 1, -5, 341, 0, 46 in descending order.\nAnswer: 341, 46, 3, 1, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the third derivative of x**5\/20 + x**2. Suppose 2*t = -0*t + 6. Let n(c) = 2*c + 0*c - t*c. What is b(n(z))?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 3*u = 0. Let p = u - -2. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-486)\/(-378) + (-513602)\/(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 4*v - 2*l - 4, 3*v - 2 = -l. Solve 7*y - v*y = -5*x - 10, -2*x - 4 = -5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 49 - 26. Suppose p*l + 2*l = 150. Calculate the greatest common factor of l and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3241, 2756, 1433, -1148, -5407, -11764, -20639?\nAnswer: -32452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -4, -5, 1, 10.\nAnswer: -8, -5, -4, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 3*i**2 - 5. Let f(z) = -z**2 + 2. Let r(t) = -5*f(t) - 2*w(t). Suppose -s = -0*s - 3. Let o(j) = -s + 3 - j**2. What is o(r(g))?\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 356107?\nAnswer: 53, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.7 + -2.1. Let q = 1.2 + i. Let x be 24\/(-27) - 4\/(-6). Sort 1\/3, x, q in decreasing order.\nAnswer: 1\/3, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-2\/121)*l)\/(l**(-13)\/l*l) assuming l is positive.\nAnswer: l**(1692\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-239)\/(-241) - 1)\/23. Let j = -182899\/55430 + z. Find the common denominator of j and -2 - (-4)\/(64\/436).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38288.\nAnswer: 2, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 14*z**2 - 9*z + 2. Let b(u) = -12*u**2 + 10*u - 2. What is -4*a(i) - 5*b(i)?\nAnswer: 4*i**2 - 14*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 1.14  (b) 1  (c) -1  (d) -0.4  (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 3.808382 days?\nAnswer: 329044204800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.144  (b) 1\/2  (c) 0.68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 6*z**3 - z**2 - z - 1. Suppose h + 3*h - 28 = 0. Suppose -h = -5*v - 12. Give a(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 123 divide 2879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 207 and 423?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**2 - 8*k - 26. Determine f(-12).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 1899176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -98887 times 2?\nAnswer: -197774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v**(-9\/5)\/v*v))**3)**(-40\/9) assuming v is positive.\nAnswer: v**(-112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 16050 and 22?\nAnswer: 176550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 4794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6230.6 + -6231. Let l = 0 + 0.03. Let s = -9\/11 + 49\/33. What is the closest to l in 3, s, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*a + 72 + 131 = 0, 5*a + 29 = -3*s + 3*a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11 (base 9) to base 12.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 44210029?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o - 4*a = -18, 2*o + a + 12 - 11 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 193, 12, 9 in increasing order.\nAnswer: -4, 9, 12, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 37802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -142 + 711\/5. Let m = -3.89 + -0.11. Which is the nearest to 0.1?  (a) y  (b) 3  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 57 + -43. Solve -36 = 5*c - k*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 35 = c. Suppose -354 = -c*f + 24. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -z**4 + 5*z - 2*z**3 - 14 - 41*z**2 - 12 + 27 + 2*z**4 - 35*z**2 to the form g*z + w + d*z**4 + r*z**2 + t*z**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 smaller than 10239.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -1\/4  (b) -807.4  (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 26341?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -2397, -19161, -64663, -153273, -299361, -517297, -821451, -1226193?\n\"Answer: -2395*o**3 + o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -121*n - 116*n - 57*n + 142*n.\nAnswer: -152*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**3 + y. Let g(d) = 17*d**2 - 2*d**2 - 11*d**3 + d - d + 56*d. Let r(a) = g(a) - 6*u(a). What is z in r(z) = 0?\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3487937 is divided by 1743966?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 18010569 divided by -5?\nAnswer: -18010569\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-10)*q)**(-1) assuming q is positive.\nAnswer: q**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1702*o**3 - 1710*o**3 + 3410*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-19)\/2)\/((-1)\/14). Suppose 0 = -2*u + 51 + r. Suppose 3*v + v = u. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (t**2 - t**2 - 2*t**2)*(-2*t**2 + t**2 - t**2)*(2 + 3 - 2)*(-22*t - 109*t - 88*t).\nAnswer: -2628*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -299\/21 or -15?\nAnswer: -299\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1165b + 4?\nAnswer: 11660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 2*a = 18 + 43, 5*a = c - 43. What is the hundreds digit of (370\/(-8))\/(((-23)\/4)\/c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fbgffgwfggfaggf.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.497606 + -1\nAnswer: -0.502394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -0.16, -0.5, 2, 0.08, -24\/17?\nAnswer: -24\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.003536 to 4 dps.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -222126 times 0.7\nAnswer: -155488.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11915 = -49*c + 48*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 28 = -4*k - b, -3*k - b = -19. Let c be (-1 + 4)*(-2)\/(-27). What is the smallest value in c, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5\/18 - 7\/9. Put -0.2, u, -2\/11 in increasing order.\nAnswer: u, -0.2, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = i - 1049, r + 4*r - 4*i = 2590. What are the prime factors of r\/72*7*4?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9956, 10333, 10710, 11087?\nAnswer: 11464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 314933 is divided by 741?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 43486255, 43486257, 43486259, 43486261, 43486263, 43486265?\nAnswer: 43486267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 564 a factor of 359380175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -82*t - 44*t + 131 + 1003 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 120237 smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.0070043  (b) 1\/3  (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36813?\nAnswer: 3, 7, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 (base 7) in base 15?\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -41*k**3*n + 4*k**3 - 15*n - 3 with respect to k.\nAnswer: -123*k**2*n + 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28 = -2*x - 0*j + 5*j, -6*x - 2*j + 16 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fhffffhha. Give prob of picking 3 h.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 - 2*d + 0 + (2 + 1 - 2)*(4*d - 8*d - 7*d) + (0 + 3 + 1)*(-3*d - 2*d + 3*d).\nAnswer: -21*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1029 - 1029 + 14*b.\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5653151?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(-2 + sqrt(68)\/sqrt(4) - (sqrt(102)*-1)\/sqrt(6)))**2.\nAnswer: -200*sqrt(17) + 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is d1277 (base 16) in base 7?\nAnswer: 10165440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2740923 is divided by 6024.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0004856 rounded to five dps?\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes before 2:03 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*b**3 - 2*b + 5 - 2*b**3 + 19*b**2 - 19*b**2 in the form m*b + k*b**2 + h*b**3 + g and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1946*s**3 + 6*s**2 - 22*s wrt s?\nAnswer: 11676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, 3.3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 17577*m - 7. Is i(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*a**4 - 13*a**2 - 814*a**6 + 914*a**6 - 2*a + 2*a wrt a?\nAnswer: 12000*a**3 - 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 29 - 26. Let q be b\/9*3*-204. Let h = q + 331. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -72 - -59. What is the nearest to 3 in -0.3, i, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 135451913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2*(-18 - -17)\/((-4)\/254). Is -631\/5 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11472 is divided by 602.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u**3 + 10*u**2 + 10*u - 17. Let n be j(-8). Solve 5*a + 5*w = -40, n = 2*a - 4*a - 5*w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 3, 4, -18, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes after 12:09 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -6495, -12941, -19387, -25833, -32279, -38725?\n\"Answer: -6446*l - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 2 v when four letters picked without replacement from {y: 2, v: 10}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -14555215*j**6 + 3842*j**2 + 1043 wrt j.\nAnswer: -1746625800*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 178544157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2398987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the third derivative of -h**5\/10 - 7*h**4\/8 - 3*h**3\/2 + h**2. Factor v(s).\nAnswer: -3*(s + 3)*(2*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27.023391us in hours?\nAnswer: 0.0000000075064975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -484 + 426 - (-1 + -35).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 11198381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 727, 2604, 4481, 6358, 8235, 10112?\nAnswer: 11989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 247 (base 10) to base 3.\nAnswer: 100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3248715 is divided by 211?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 868634.4ml in litres?\nAnswer: 868.6344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 82 a factor of 54062873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 4*l**2 - 4*l**3 + 10 + 4*l**2 + 3*l**3 - l + 0*l**2. Let k be y(8). Find the third derivative of -630*f + 630*f + 8*f**4 + 9*f**k wrt f.\nAnswer: 192*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31250860 a multiple of 977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f - 4670 = 17*f - 25*f. What are the prime factors of f?\nAnswer: 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 160*q - 1. Suppose 4*w = -8, 4*u + 4*w - 2 = 3*w. Let d(a) = 2*a**2 - a. Let m be d(u). Is v(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1187540657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -10  (b) -0.4  (c) 0.558  (d) 5  (e) -16\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**2 + 3*d - 10. Let g be h(5). Suppose g = 2*k - 5*k + 4*t, -5*k - 2*t = 76. Let w = k - -24. What is the remainder when 18 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-7)*(-2)\/(-6)*44835\/70?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 27763192 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25329?\nAnswer: 3, 8443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 equal to 1032\/613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 5 + 2*m**3)*(m - m - 2*m) + m**4 + 2*m**4 - 6*m**4 + (-2*m**2 + m**2 - 2*m**2)*(0*m**2 + 2*m**2 - 3*m**2).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the third derivative of -i**5\/20 - 28*i**4 - 6272*i**3 - 638*i**2. Suppose r(x) = 0. What is x?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (11\/33)\/(9\/6).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 63 + -62. Let p = 9 - 18. Let y = v - p. What is the remainder when 38 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1806718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that -3*l**3\/4 + 93*l\/4 + 45\/2 = 0.\nAnswer: -5, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1833*50.\nAnswer: -91650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**3 - 11*g**2 + 18*g + 39. Let v be q(-17). Suppose -j + a = -2*a - v, -4*a = 4*j - 5900. Let t = j - 400. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2*(75\/(-250) - (32\/60)\/(-4))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 3, d: 5, i: 5}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*v**3 + 37837*v - 2*v**3 - v**3 + 11033*v.\nAnswer: -6*v**3 + 48870*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1 and 3674397.\nAnswer: 3674396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 399 and 665.\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 2 g when three letters picked without replacement from {g: 2, q: 1, h: 1, r: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 244 + -151. What is the remainder when w is divided by (1*-4)\/(-3*1\/9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 912301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i + 9. Let h be x(-15). Let k(b) = 9*b**2 + 8*b + 2. Let u be k(h). Suppose 5*n - u = -2*v, -2*n - n + 178 = 4*v. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-43 - -35)*(28\/105 + 1\/(-5)).\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 4 = 4*w, -z - 4*z = -w + 22. Find the second derivative of 18 + w*c - 18 - 4*c**3 + 2*c wrt c.\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -1137*u. Let t(j) be the first derivative of -7*j**2\/2 + 582. Calculate q(t(c)).\nAnswer: 7959*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is (2\/(-8))\/(4*(-8)\/1953152) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7577033?\nAnswer: 29, 227, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 6 + -55d?\nAnswer: -557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 179*m - 3. Let n be v(2). Let y be 6*(-1 - 0) - (113 - 1). Let p = y + n. What are the prime factors of p?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) -4  (c) 3113\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -80 - 9?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 66351801*w**2 + 0*w - 66351900*w**2 + 0*w.\nAnswer: -99*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 3*y + 1 = 0, -4*f + 2*y = -0 - 10. Let x(k) be the first derivative of 2*k - 1\/4*k**4 + k**3 - 1 + k**f. Calculate x(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 3*p = -12. Suppose 22 = 4*u + 14, -3*i + 8 = 4*u. Solve p*v + 2*b = -i + 4, -2*v - 9 = -b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 5, 2, -20, -2, 3.\nAnswer: -20, -4, -2, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 6) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 42298449 to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the second derivative of 7*t**3\/6 + t. Let z(d) = -2*d. What is w(z(c))?\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 132 and 1320?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = u. Suppose 0 = -p - 1, 2*m + u*p - 3 = p. Let a = -78.96 + 78.56. Put m, a, -2, 4 in decreasing order.\nAnswer: 4, m, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-14)\/63 - 764\/(-36). Put p, 1, 2 in descending order.\nAnswer: p, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*a + 94 - 101 + 19*a + 136*a.\nAnswer: 184*a - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1  (b) -477  (c) -4  (d) 1\/2  (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*m**4 + 184*m + 32846?\nAnswer: 12*m**3 + 184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.3 and 652792?\nAnswer: 195837.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l + 12. Let u be v(-10). Let k(o) = 4 - 25*o + 23*o + 5*o**2 + 7*o**2 + 0*o**2. Is 24 a factor of k(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1587*l**3 + 1721*l**3 + 1557*l**3 + 2*l**2 - 5131*l**3.\nAnswer: -266*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/5, 1\/75, 0.038, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is (512188\/18 - (-10)\/(-45))\/((-22)\/(-33)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(18)\/sqrt(216) + sqrt(3) + (-2 + sqrt(3) + sqrt(3))*1 + (sqrt(3) - (sqrt(30) + sqrt(30)*-1)\/sqrt(10)) + sqrt(432))**2.\nAnswer: -194*sqrt(3)\/3 + 9457\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 17, 24, 31, 38?\n\"Answer: 7*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**2*q\/q**27)**9 assuming q is positive.\nAnswer: q**(-207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1041  (b) -69  (c) -2\/25  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 + 0. Suppose -4*q - h = -10, q + p*h - 3 = 3. Suppose q*t - 4 = t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**3 + 4*h**2 - 7*h - 6. Let j be b(-5). What is the second derivative of 6*g**4 + 2*g - 5*g - j*g - 2*g**4 wrt g?\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -k**2 - 9*k**3 - 2*k**2 + 2*k**2 + 5*k**3 as l*k + a + b*k**3 + j*k**2 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-36)\/60*(-25)\/(-9)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is (291*1)\/(10806706\/337706 - 32) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -430 (base 8) to base 13.\nAnswer: -187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) 3  (b) -3  (c) 0.23  (d) 5060  (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3186\/135 - 24)*-1*5. Suppose 2*d = 2*k - 4*k + 4, -3*k + 14 = d. Let f(w) = w**2 - 5*w - 4. Let l be f(k). Solve -g*c - 8 = -l for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = w - 3*h + 40, 3*h = -4*w - 163. List the prime factors of 6\/(-4) - 3620\/w.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 267 = -c + 834. What is the remainder when c is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22970472.\nAnswer: 2, 3, 7, 73, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 4, i: 4, b: 1, m: 2}. What is prob of sequence mb?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 1)*(-7*h + 65*h + 88*h - 12*h).\nAnswer: -134*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1078176731 to the nearest integer?\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4406290 to the nearest integer?\nAnswer: 2099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 6290736513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 14\/11, 1\/2, -6 in increasing order.\nAnswer: -6, 1\/2, 14\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does -64603843 = -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 14443390.29999972 - 14443392.8. Let p = -2.5 - u. Round p to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 156 a factor of 7956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 436*g**2 + 99*g - 50*g + 109*g**2 - 51*g in the form z*g + y + d*g**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**3 - 99*f - 7. What is c(-10)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -6*z**2 + 173*z - 698. Calculate o(4).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49 = 15*o + 19. Which is the third smallest value?  (a) 10  (b) o  (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 113846598 a multiple of 1179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10, 123, 236?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4508065 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 2395.6299 months?\nAnswer: 1.99635825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 907493962?\nAnswer: 2, 67, 6772343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(2*-3*-2*sqrt(400))\/(sqrt(20)*-6 + ((sqrt(80) - (-1*sqrt(80) + sqrt(80))) + sqrt(80) - sqrt(5))))**2.\nAnswer: 36864\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 316 and 3.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 542 is divided by 332.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 383.2002 times 9?\nAnswer: 3448.8018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w = 3*j + 5, 21 = 3*w + 5*j + 18 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19 = -10*u + 5*u - y, -3*u = 2*y + 17 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12480 divided by 960.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/9 - (-9 + (5 - -5))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j*j**(3\/20)\/j*j\/(j\/(j\/(j**(-8\/11)*j*j)*j))*(j**(9\/2))**(2\/69) assuming j is positive.\nAnswer: j**(5099\/5060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1*6\/(-2) + 2. Let m(g) = g - 1. Let d(n) = -n**2 + 5*n - 5. Let f(h) = -d(h) + 6*m(h). Let q(t) = -3*t**2 - 4*t + 3. Determine b*q(o) - 2*f(o).\nAnswer: o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 327 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 118370967?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = f - 3810, -t = 2*f - 2598 - 4994. Let i(p) = 75*p - 19. Let w be i(-16). Let m = f + w. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.5 - 7.5. Let k = q - -6. Let n be -1*-6*1\/(-14). Which is the nearest to -2?  (a) 1  (b) n  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 4*y = y - 30, 0 = -3*t + 4*y - 17. What is the least common multiple of t and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 27 = g - 3*y, -4*g - y - 99 = 0. Suppose 4*z + 2*x = -16, 524*z = 526*z - 5*x - 28. Let f be (z + 0)\/(g\/(-40)). Is -1 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 420*k - 4*k - 109*k + 212*k + 519*k.\nAnswer: 1038*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 2*f + 6. Let g(q) = -5*q - 5. Let i(x) = -6*g(x) - 5*p(x). Let s(a) = 7*a. Determine i(s(u)).\nAnswer: 140*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 8844223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 15.285245 - 14.9849. Let i = 100.732055 + f. Let n = -101 + i. Round n to three decimal places.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 301, 628, 1013, 1462, 1981, 2576?\n\"Answer: n**3 + 23*n**2 + 251*n + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16227.71 litres to millilitres.\nAnswer: 16227710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = 65619 + 327381. Round m to the nearest 10000.\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -3*v - 13 + 3, -2*v - 2*y + 12 = 0. Factor 2*m**2 + 29*m**2 - 23*m**v - 4*m**3 - 4*m.\nAnswer: -4*m*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -3*h, 4*f - 6*f - 5*h = -127. Differentiate -8 - f*w + 56*w + w**2 + 19*w**2 with respect to w.\nAnswer: 40*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31993 + 28559 = 202*a for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 - -2. Let z = h + -1.5. What is the smallest value in 0.5, -2\/3, z?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 4, c: 5, l: 2, n: 2}. Give prob of sequence le.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 65817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o and 2 f when four letters picked without replacement from {o: 4, f: 6}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**2 - 4*j - 5. Let o(w) = -w**2 - 3*w - 4. Let h(s) = -3*o(s) + 2*x(s). Calculate h(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 118929, 0.5, 1\/3?\nAnswer: 118929","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*t**3 + 45*t**2.\nAnswer: 5*t**2*(t + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.934 + 0.066. Put -1, -2, -4, z in decreasing order.\nAnswer: z, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f\/f**(-1\/9))*f)**(-49)\/(f**(-18)*f*f*f\/f**(-12)) assuming f is positive.\nAnswer: f**(-365\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 2*v**2 - 11*v - 2. Let t be p(8). Let x be 26\/((-10)\/(-15) + 0). Let a = x + t. Is a a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is -6999 at least 9621?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, c: 6}. What is prob of picking 1 r and 1 c?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 + 7 = 3*a. Suppose 0 = w - 4*l + a*l - 4, -2*w = -2*l + 12. Put w, 3, -1 in increasing order.\nAnswer: w, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 51151, 51371, 51621, 51901, 52211, 52551, 52921?\nAnswer: 53321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**3 - 2*p**2 - 6*p - 4. Let o(l) = 4*l**3 + 9*l**2 + 25*l + 17. Determine -2*o(n) - 9*z(n).\nAnswer: n**3 + 4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + 2)*(0*o + 3*o - o)*(0 - 1 + 2)*(5*o + 10*o - 3*o)*(0 + 2*o + 0).\nAnswer: -48*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5, -211, -39?\nAnswer: -211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -310*a = -18*a + 158*a - 900. Solve 0 = 4*m + 3*t - 0*t - 2, a*t = -2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*p + 72 - 72)*(-369 + 1336 + 428).\nAnswer: -8370*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 48 - 49 - 3*f**4 - 2*f**4 + 2*f**5 + (3*f**2 - 3*f**2 + f**2)*(-3*f**3 - f**2 + f**2).\nAnswer: -f**5 - 5*f**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 31 + -30.87. Let z = 0.03 - j. What is the closest to -2\/3 in z, 2, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 3, b: 3, y: 1}. Give prob of picking 3 r and 1 b.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 616, -5, 2 in decreasing order.\nAnswer: 616, 2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-21660)\/(-51300))\/((-57)\/18)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12020 (base 3) to base 13.\nAnswer: ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 88 or 35?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 5*p. Let z be w(1). Suppose 5*h - z*o = h + 5, 3*o + 1 = 2*h. Let r be ((-3)\/(-5))\/1*h. Solve 1 = -v - r for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -167*d - 266 = -186*d. Solve d*b - 99 = -29 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-195)\/(-9))\/(3\/(-18)). Let k = -136 - g. Let a(u) = 3*u - 5. Give a(k).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -3226398 and -0.09.\nAnswer: -3226398.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 30.39 - -0.61. Let w = t - 28.4. Let s = w + -2.5933. Round s to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 246.95 - 247. Let j(x) = -x**2 - 29*x - 82. Let w be j(-26). What is the biggest value in 1.3, w, 3\/4, o?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -261142886*c**5 - 21835*c**2 - 278*c - 7?\nAnswer: -15668573160*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 - 2. Suppose 5*c - 11 = -31, -l - c + 24 = n. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19042471 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -56440114 plus -2050.99?\nAnswer: -56442164.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/(-2) - (-10)\/4. Suppose -19 + 7 = -4*h. Suppose b*l = -h*l + 846. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 487874483 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 111*0.4\nAnswer: 44.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 553035 and 5346005?\nAnswer: 16038015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by 232943172.\nAnswer: -5\/232943172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -w - 2*w**4 - 8 + w**4 + 11 + 0*w as y*w**2 + f + n*w**3 + b*w + z*w**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:44 AM and 1:24 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 54 = 4*z. What is the remainder when 42 is divided by (z\/4 + -1)*-2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 959757 is divided by 186?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/(-8) - 52\/(-16) - -2. Let b(h) = h**3 + 4*h + 4*h - 6*h + 5*h**2. Let r(t) = -3*t**2 - t. Calculate o*r(f) + 3*b(f).\nAnswer: 3*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, m: 1, l: 2, v: 1, p: 1, d: 1}. Give prob of sequence emd.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.33 and -4.53.\nAnswer: 6.0249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.3  (b) -140\/19  (c) -0.02  (d) -9  (e) -1  (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 22602967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -6*v + 15. Suppose 2*l + 3*u = 7, -3*u = -0*u - v. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*m**2*q + 2*m**2 + 2*q**4 + 69*q**3 + 85 wrt q?\nAnswer: 2*m**2 + 8*q**3 + 207*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -963854*z**4 + 2498*z**2 - 147*z wrt z.\nAnswer: -23132496*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z = -5*a - 430, 3*z + 185 + 178 - 83 = -7*a + 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the first derivative of 2\/15*l**5 + 1\/45*l**6 + 13 + 0*l + 4\/9*l**3 - 5\/2*l**2 - 5\/12*l**4. Let f(h) be the second derivative of a(h). Factor f(m).\nAnswer: 2*(m + 4)*(2*m - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z**3\/15 - 6208*z**2\/15 + 9910*z\/3 - 14448\/5 = 0. What is z?\nAnswer: 1, 7, 3096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a**3 - 3*a**2 + 3*a**2)*(-1 + a + 1)*(-2 - 1 - 1).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 68 - 36 = 0. Is (80\/l)\/5*62\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 8 + 0 + 2*w**2 - 8. Let b(h) = -h**2 + 2*h. What is b(a(t))?\nAnswer: -4*t**4 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/2 + -1 + 1. Let q(i) be the first derivative of i**2 + 1\/5*i**5 - i + 0*i**3 - 1 - x*i**4. Solve q(a) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-7\/5)*t**(-8)*t**(3\/8)*t\/(t\/t**(2\/25)) assuming t is positive.\nAnswer: t**(-1789\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000127948 rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -8, 27, 3.294?\nAnswer: 3.294","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-1*sqrt(2420))\/(sqrt(10) - 2*(sqrt(160) + sqrt(10))).\nAnswer: -22*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*v - 32*v**2 + 0*v - 15*v**2 as i*v + w + u*v**2 and give u.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (11 - 1 + 12)*(-4*u - u + 2*u) + u - 3*u + u as l + r*u and give r.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -7*m. Let n(p) = p**3 - 7*p**2 + 7*p - 1. Let c be n(6). Let l(b) = c*b + 10 - 10 - 3*b. Determine l(y(k)).\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1458036 < 1458078?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = -3*p - 4*y + 513, -y + 3 = 0. Let b = p - 162. Let r(m) = -4*m - 4. Calculate r(b).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.9 + 0.1. Let v = 4 - 3. Let f = v + -1.5. Which is the nearest to r?  (a) -2  (b) 1\/6  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 147954906 and 4554.\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 15831 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 555519 less than 555519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -22*p - 51. What is k(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 4*c + 20 = 0, -3*c - 1 + 16 = 2*h. Suppose 2*t - 11 = 1. Suppose 0 = -0*v + 3*v - t. Solve 3*u + v*u = h for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 5126880885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 3*x + 2 + 4*x**2 - 5*x + 3*x - 5*x. Let y be p(2). Let q be 34\/y + (-8)\/20. Calculate the highest common factor of q and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 588 = 12*s + 95*s - 9*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -2 + 0 + 0 + 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**3 - 8*b**2 + 6*b + 7. Let g be f(7). Let n(d) = d - 15. Calculate n(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3, -0.1, -46, 1?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3.3 + 1.3. Which is the second smallest value?  (a) -1\/2  (b) -0.1  (c) 2\/15  (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 16) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k**5\/9 - 934*k**4\/3 + 25034*k**3\/9 + 10214*k**2\/3 - 25036*k\/9 - 9280\/3 = 0. Calculate k.\nAnswer: -1, 1, 10, 1392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o + 5. Suppose 0*t + 3*t = 12. Let f(k) = -53. Let b(m) = 40. Let l(u) = -4*b(u) - 3*f(u). Let i = 9 + -8. Give i*r(g) + t*l(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -60.9712 + 61. What is h rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 2 - 62405*c - 459500*c.\nAnswer: -521905*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-5)\/(-1 - 4))\/(7 - 4). Solve -c + 5\/3*c**2 + 0 - m*c**3 - 1\/3*c**4 = 0 for c.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 675614297?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -86 + 88. Suppose -4*g + 144 = 4*m, -k*m + 14 + 65 = -5*g. Find the second derivative of 11*d - 24*d**3 - m*d + 15*d**3 wrt d.\nAnswer: -54*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6 + 9)*(1 + 4*67). Suppose 0 = 7*m - i - 5360. Suppose 6*x - m = 139. Round x to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 15) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 38645, -1\/3, -1\/409 in ascending order.\nAnswer: -1\/3, -1\/409, 0.1, 38645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 7) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 15261180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 339*n. Let v(o) = -4*o. Let w(s) = 2*s. Let c(t) = -v(t) - 3*w(t). Determine f(c(p)).\nAnswer: -678*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 2, g: 1, p: 2, v: 8}. What is prob of sequence wwv?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-700)\/3920*4\/(-5).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -4 from 1133.1484.\nAnswer: 1137.1484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ut when two letters picked without replacement from uut?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is l in 2*l**3\/3 - 3124*l**2\/3 + 342200*l\/3 - 3242896 = 0?\nAnswer: 58, 1446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -37345 divided by 485\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wss. What is prob of sequence ws?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -10 - 3 + 7 + n. Let j(o) = o - 11. Let h(c) = -6*j(c) + 11*z(c). Let y(a) = -a. Calculate y(h(d)).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lowpccopplwt. Give prob of picking 1 c and 1 l.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = v + 2*g, -5 = -3*g + 1. Let d be -3*2\/(-6)*3. Suppose -27 = -z + d*c, -17 = -4*z + 3*z + c. Calculate the least common multiple of z and v.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**3 - 19*q**2 + 17*q + 26. Let s be f(18). Calculate the remainder when 13 is divided by (19\/(-38) + 6\/s)*44.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1069)\/((-3)\/2 + (-2)\/(-2)). Suppose -23*h + v + 714 = 0. What are the prime factors of h?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -22.14633 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1  (b) 2  (c) 0.2  (d) 6527\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 9 = 19. Suppose i = l - 0. Are 8\/7 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -3*z**3 + 492*z**2 - 26055*z + 449550 = 0.\nAnswer: 45, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y + 4. Let h be 2\/(-4)*(-6 - -2). Determine l(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -248 + 476. Suppose 0 = 2*i - 8, 0*t - 5*i + o = t. What is the greatest common divisor of t and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 1143 = -291. Let s be z\/13 + 6\/(-39). Let k be (-4)\/(-2) - 25*132\/(-165). Calculate the highest common divisor of k and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g + 272 = -4*g. Let y = g + 96. Let m = 9183 + -9176. Calculate the greatest common factor of m and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -570181 * -212.\nAnswer: 120878372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 232670489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 939656.\nAnswer: 2, 73, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 250160 is divided by 124525?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 5 = 3. Let a = m + -11. Let w = a - -19. Round w to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0, 3, -2\/5, 0.1.\nAnswer: -5, -2\/5, 0, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/4, 10, -1, 3\/2, -0.002 in ascending order.\nAnswer: -1, -0.002, 3\/4, 3\/2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 21 - -543530?\nAnswer: 543551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 9*k + 47. Determine y(-16).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u, 1 g, 1 k, and 1 q when four letters picked without replacement from qquqkrqgq?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -13*s**3 - s + 2. Let o be c(1). Let w(f) = 2*f - 4. Let x(h) = 10 + 11 + 9 + 7 - 36. Determine o*x(n) - 3*w(n).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -206755\/142 or -1456?\nAnswer: -206755\/142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/4, -4\/15, -2\/5, 0.02, 25.8 in descending order.\nAnswer: 25.8, 0.02, -1\/4, -4\/15, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 12, c: 1, u: 1}. What is prob of sequence cun?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the third derivative of -71*z**5\/4 - 103*z**4\/24 - 4*z**3\/3 - 73*z**2 + 3*z. What is the second derivative of m(p) wrt p?\nAnswer: -2130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 0.1  (b) -0.2  (c) 579  (d) -5  (e) -3\/8  (f) 5\/6  (g) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110110 + 11?\nAnswer: -110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.330751 to three dps.\nAnswer: 0.331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the second derivative of 136667*u**4\/4 + u**3\/3 + u**2\/2 + u. Let a be w(-1). What is a rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*x = 30 + 57 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -414?  (a) -0.1  (b) 2\/7  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z + 3*u = -18, -5*z - 802 = -3*u - 822 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 109229769 to the nearest integer?\nAnswer: 10451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 11.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(242) - (sqrt(242) + (sqrt(242) - sqrt(242)*-2 - sqrt(242)))*-6))**2.\nAnswer: -2090*sqrt(2) + 87387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -41158, -82313, -123470, -164635, -205814, -247013, -288238, -329495?\nAnswer: -370790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q\/q**(-1\/3)*q\/(q\/(q*q**(-2\/7)))*q**5*q**5)\/(((q*(q*q*q\/(q**(2\/5)\/q)*q*q)\/q*q*q)\/q)\/(((q\/(q*q**(-3)))\/q)\/q))**39 assuming q is positive.\nAnswer: q**(-21562\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 e when two letters picked without replacement from exw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2*-1*(3 - 132\/24). Suppose -2*o + c*q + 44 = 0, -q = -o + 20 + 2. What is the least common multiple of 164 and o?\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(2\/(-3)))\/((-108)\/(-864))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6405 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -11c60 - -5?\nAnswer: -11c58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g**4 - 356745*g**3 + 1426845*g**2 + 3923945*g + 2140350 = 0 for g.\nAnswer: -1, 6, 71345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 232010032 (base 4) to base 8\nAnswer: 560416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v = 3 + 2, -3 = -4*t + v for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1374084.\nAnswer: 2, 3, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 42782594773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1393 + -860. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w**3 + 20*w**2 + 7*w - 274. Determine a(-19).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -3*h + h - 9*h + 0*h. Let w(f) = -3*f - 2*f - f. Let a(j) = -4*g(j) + 7*w(j). Let l(q) = -13*q**2. What is l(a(y))?\nAnswer: -52*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v + 31. What are the prime factors of c(8)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**3 + 11*a**2 - a - 9. Let v be k(-11). What is the derivative of -130 - 34*u**3 + 3*u**2 + 25*u**3 - 2*u**v wrt u?\nAnswer: -27*u**2 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - ((-10 - -17 - 0) + -13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 + 110 = 6*u. What is the greatest common factor of 21 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 190979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6.1 + 1.1. Which is the second biggest value?  (a) 4\/7  (b) z  (c) 0  (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-36)\/(-30)*45\/36?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 3*g - 26. Let b be k(6). What is the units digit of 16725\/45 + (b\/6)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**0\/f*f*f)**(-5\/12))**(-8\/7) assuming f is positive.\nAnswer: f**(20\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -6577 rounded to the nearest one hundred?\nAnswer: -6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(6\/11))**50\/((d*d**(-1\/7)*d)\/d)**(4\/19) assuming d is positive.\nAnswer: d**(112786\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 < -51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -42*v**3 - 3*v**2 - 6. Let r(j) = -1260*j**3 - 91*j**2 - 182. What is 6*r(q) - 182*y(q)?\nAnswer: 84*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-2)*(-17)\/1309)\/((-26)\/182)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -6 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.5, 402, 0.3, 21\/10?\nAnswer: 21\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 231815994.\nAnswer: 2, 3, 71, 211, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in -0.012, 0.3, 1, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 588 minutes before 7:57 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m - 16 = -0*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/(-8)*(3 + 3). Let b = -6 - -4. Suppose 69 = -191*g + 168*g. Sort g, s, b.\nAnswer: g, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4, 1, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -549, -539, -527, -513?\n\"Answer: m**2 + 7*m - 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6 + 1. Let b = -46 - -91. Let m = b + -44.96. Is v <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -38, -4\/3, 0.1, -74, -0.4, 7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2572 - -7069. Calculate the greatest common divisor of d and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12260 divided by 2?\nAnswer: -6130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -3*g - 27. Let s be p(-9). Which is the biggest value?  (a) -3\/8  (b) s  (c) -0.5  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 57*j**2 + 27*j + 29. Let r(t) = 28*t**2 + 14*t + 14. Let n(g) = 4*c(g) - 7*r(g). Let o be n(-4). What is o rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + d - 3 = -2*d, -6 = 2*u - 3*d. Suppose 4*l = u*l. Sort l, 5, -3.\nAnswer: -3, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -6, 2, 20, 157 in descending order.\nAnswer: 157, 20, 2, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 504657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*j - 22*j - 55 = -4*p + 15*j, -3*p = -5*j - 42 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*p**5 - 3*p**3 + 3*p**3 + (-p**2 - 2*p**2 + 0*p**2)*(p**3 + 4*p**3 - 3*p**3).\nAnswer: -12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 50 + v**3 + 46 - 81 + 11*v**2 - 16*v. Suppose -4*c = -6 - 58. Calculate the remainder when x(-12) is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 144*p**3 + 143*p**2 - 228*p**2 + 89*p**2.\nAnswer: 144*p**3 + 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**2. Let s(t) be the second derivative of 0*t**2 - 1\/3*t**3 + 0 + 3*t. What is z(s(o))?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3208 and 109874.\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 24306 + 109*z - 24306 + (4*z + 0*z - z)*(2 + 1 - 1) to the form s + r*z and give r.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 177873637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 - -12. Let f(a) = -4*a**3 + a. Suppose -5*o - 2*q - 18 = 0, o + 5*q = -13 - 9. Let m be f(o). What is the highest common factor of w and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the first derivative of x**5\/120 + x**4\/6 - x**3\/3 - 1. Let t(p) be the third derivative of q(p). Let o = 5 + -2. Determine t(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 4*u + 24 = 0, 2*u = -0*f + 2*f - 58. Is f at most as big as 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the first derivative of 3*t**5\/5 + 3*t**2 + 1. Find the second derivative of n(v) wrt v.\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*z = -3*z - 36*z + 363 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*i**3 - 47005*i**2 + 93915*i + 704925.\nAnswer: 5*(i - 9399)*(i - 5)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4163586 and 126?\nAnswer: 12490758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 5 = -m, 0*v - 2*v + m = -10. Let f be -3 - 3\/(v\/(-13)). Is f < 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*t + 4*t + 250. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:53 AM and 1:03 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1028*g - 1032*g + 2072*g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 5}. What is prob of sequence yy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (2*sqrt(704)*-4)**2 + sqrt(704).\nAnswer: 8*sqrt(11) + 45059","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the third derivative of -h**5\/60 - h**4\/4 - 5*h**3\/6 + h**2. Let q be v(-5). Suppose 7*m - 18*m = -5*m. Solve -2*x + 2 = q, p + 4*x - 8*x = m for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -7 + 328147?\nAnswer: 328140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -155675\nAnswer: 2\/155675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*b + 3*b**2 + 5*b)*(b**2 + 3*b**2 - 2*b**2) - 7*b + b**4 + 7*b.\nAnswer: 7*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 38184 and 777?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5\/4*(-2)\/(-20). What is the nearest to 1 in -1, r, -3\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*b + 9 = b - 4*h, 0 = 2*b - h - 11 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -265a0 (base 12) to base 8.\nAnswer: -146710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5857750*b**4 + 5588382*b wrt b.\nAnswer: 70293000*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -2212322201 (base 4) to base 10\nAnswer: -683681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the first derivative of 0*q**2 + 1\/180*q**6 + 1\/24*q**4 - 4\/3*q**3 + 0*q - 1\/30*q**5 + 3. Let u(w) be the third derivative of c(w). Determine u(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**2\/7 + 1185154*c.\nAnswer: 2*c*(c + 4148039)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/40 and 131\/6828?\nAnswer: 68280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 380 and 115.\nAnswer: 8740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1060, 4036, 8998, 15946, 24880, 35800?\nAnswer: 48706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the second derivative of y**4\/12 + 4*y**3\/3 - y**2 + y. Let f be a(-8). Are -2 and f nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -102 (base 11) in base 7?\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((32 - -17) + -36 - (-15 + 1)) + -20?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(2*(2 + sqrt(1331) + sqrt(1331)) + (sqrt(1331) + 4)*4))**2.\nAnswer: 126720*sqrt(11) + 3081024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 274265 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 94409 - 40938?\nAnswer: 53471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 748 - 737. Calculate the highest common factor of 77 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i = -2*t - 1, -41*t - 5*i = -43*t + 11 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 14, 48, 104, 182, 282, 404?\n\"Answer: 11*u**2 + u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.3, -0.08, -4, 9\/25?\nAnswer: 9\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -10100110002202 (base 3) to base 10\nAnswer: -1780292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40116 is divided by 68.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -193 at most as big as -192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 15*r**2 - 6. Let o(q) = -25*q**2 - 35*q + 15. Let y(m) = -37*m**2 - 56*m + 23. Let x(a) = 8*o(a) - 5*y(a). Give 5*c(l) + 6*x(l).\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1065 + -1070. What is the nearest to 1.51 in 1\/4, c, -3\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 12, 16, 32, 66, 124, 212, 336?\n\"Answer: o**3 - 3*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 128422 + -206266. Let g = -132744 - c. What is g rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*m**2 - 18*m**2 + 9*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -696 = -117*m + 71*m + 75*m for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 349 - 3*l**2 - 349 - 3*l**2.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 6*l**2 + 4*l - 5. Suppose 7 = v - u, 2*u + 12 = -2*u. What is the remainder when j(v) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h**2 - 5*h + 1. Let t be u(3). Let l = t + 12. Let s = l - 4. Calculate the least common multiple of 8 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tththrhh. What is prob of sequence ttt?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8 by 3211976.\nAnswer: -1\/401497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (147\/((-58653)\/1064))\/(8\/150).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 151 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.009, 1\/9, -9, 2\/215, -1\/4, 5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((sqrt(117) - (1 + sqrt(117))) + -4)**2 - (-1 + ((sqrt(325)*-1)**2 - (sqrt(1872)*-1)**2)).\nAnswer: 1574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -3  (b) 20  (c) 2\/5  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**2 + 4*d - 1. Let t be k(-5). Suppose 0 = -5*j + x - 5, -4*j = 37*x - 35*x - 10. Solve t*z + 12 + j = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18.3603952 rounded to one decimal place?\nAnswer: 18.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**3 - 3*a**2 + a - 7. Let n be g(-4). Suppose d + w - 5 = -7, 34 = 3*d - n*w. Calculate the highest common factor of d and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -171781260 divided by 1715\nAnswer: -100164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -2*q**2 + 75*q - 100. Let w be u(39). Let s = w + 877. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-14)\/(-4) - 2 - 1. Let -s*j + 1\/2*j**5 - j**2 + 0*j**3 + j**4 + 0 = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21590204 to the power of 1\/2, to the nearest integer?\nAnswer: 4647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 = 5*q - 4*y + 8*y, 2*q - 22 = -4*y. Let h be (-6)\/8 + 1 + -1. Let v = 5.5 + -7.5. What is the third smallest value in q, h, v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-3)\/15*2)\/((-10)\/50). Let h(f) = 1 + 14*f + 1 - 7*f - f - 4. Determine h(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.01895 or 49?\nAnswer: 0.01895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 82*(95\/30)\/19 - ((-35 - -38) + 4)\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-32)\/40)\/((-1)\/(-5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 50989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that 5*w**4 - 455*w**3 - 48065*w**2 + 97475*w - 48960 = 0.\nAnswer: -64, 1, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 0  (b) -1\/8  (c) 1  (d) -1\/330  (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ecs when three letters picked without replacement from {w: 2, e: 3, i: 2, c: 1, s: 2, r: 2}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3270079 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 - -131412044?\nAnswer: 131412044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 12011113113 (base 4) in base 12?\nAnswer: 64ab33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*u**2 - 77 + 197 + 105.\nAnswer: -5*u**2 + 225","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that f**4 - 134*f**3 + 6072*f**2 - 96800*f + 170368 = 0.\nAnswer: 2, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -16509*164\nAnswer: -2707476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n - 21 = -9, -o - 8 = 3*n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-34)\/(-408)*(-29)\/58\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49884.\nAnswer: 2, 3, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**2 + 1. Let z be o(0). Suppose -4*v = 3*h - 195, -14 - z = -3*h. Suppose -5*q = 5 - v. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 3024 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -18367.62833 to the nearest ten.\nAnswer: -18370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 1480 (base 13) to base 2\nAnswer: 101110100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.2 + -0.09. Let f = 99 + -99.41. Let m = f + j. Which is the smallest value?  (a) -1\/6  (b) m  (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29 = 92*y - 264*y + 9775 for y.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 533531597 is divided by 112.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*(p\/(p**23\/p))\/p)\/((p**(-2\/7)*p)\/p))\/(p**(-4))**14)**(-7\/3) assuming p is positive.\nAnswer: p**(-247\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -49, -45, -9, 71, 207, 411, 695, 1071?\n\"Answer: 2*o**3 + 4*o**2 - 22*o - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -330202.411 rounded to the nearest one thousand?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0.03 * -160180\nAnswer: -4805.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 48 and 2364?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -170\/57, 0.2, 992, 2?\nAnswer: 992","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 3 m when four letters picked without replacement from {p: 3, m: 4}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 12 = 9. Let f be (-20)\/(-3)*18\/5. Is (9\/o + -2)*f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35 - 17 = -13*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 9757 at most as big as 9756?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the second derivative of -c**4\/6 + 4*c**3\/3 - 3*c**2 + 10*c. Solve v(w) = 0 for w.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*t + 8*t - 15. Suppose -4*h + t + 5 = 0. Suppose 4*s - 4 = 0, s = -z + 6*s - h. Solve 0 = 3*f + z + 9 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes before 12:13 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*f - f - 5*f)*(-15 + 6 + 13) as r*f + g and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**(-7))\/((m**3\/m)\/m))**(-45) assuming m is positive.\nAnswer: m**315","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*w - 2*w - 3*w**3)*(-43 - 69 - 40)*(w - w + w) to the form o*w + q*w**2 + s + n*w**3 + b*w**4 and give b.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the third derivative of -b**6\/300 + b**4\/20 + 2*b**3\/15 - 14*b**2. Let a(s) = 0. What is s?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3541438, -7082879, -10624320, -14165761?\nAnswer: -17707202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3725568 and 78848.\nAnswer: 14902272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.3, -359, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -26 + 28. Is 9 a factor of (252\/(-30))\/(x\/(-5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -18797 divided by 462\nAnswer: -18797\/462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 2*d - 28. Let m be h(11). Let f be 6816\/40 - m\/10. Suppose -j = 2*l - f, 2*j = -4*l + l + 255. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 356450?\nAnswer: 2, 5, 7129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-1\/4)*f)**(-10\/11)*f\/(f*((f\/((f**3\/f)\/f))\/f*f)\/f)*f**6 assuming f is positive.\nAnswer: f**(139\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-63) - 2993\/(-1533))*18\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 456252744 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n - 2*n = -2*n + 7897*w - 7892*w - 60, 45*n + 2*w + 70 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -2 + 2 - 2*z + 0. Let o(i) = -7*i**2 - 5. Let l(j) = -3*j**2 - 2. Let f be (-1 - -2)*-1*4. Let a(s) = f*o(s) + 10*l(s). What is a(x(m))?\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that 3*z**4\/8 - 9*z**3\/4 - 15*z**2\/8 + 63*z\/4 + 15 = 0.\nAnswer: -2, -1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.2 - 0.15. Let y = -53\/122 + -4\/61. Is c < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1435189, 1435043, 1434897, 1434751, 1434605, 1434459?\nAnswer: 1434313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*z + 83 + 85 = 0. Suppose 0 = -z*y + 684 + 1920. Calculate the remainder when y is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2880)\/(-208) - 182\/(8 - -5)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-170579)\/(4 - 1 - -11). Let y = l + 12177. Find the common denominator of y and (-39)\/(-12)*22\/(-9).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -132 + -527. Let r = o - -659.0509. Round r to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 14*((-10)\/(-4) - 2). Let l = -4 + i. Solve l*j + 5 = 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5452498 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the first derivative of 985*i**6\/6 + 296*i**2 - 2*i - 1173. Find the second derivative of b(f) wrt f.\nAnswer: 19700*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8007787 by -47.\nAnswer: -8007787\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*c - 65, 5*n - 958 = -3*c - 934 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the first derivative of z**3\/3 - z**2 + 2*z - 1. Suppose 3*y - 10 = 2*x, 5*x - x = -y + 8. Does 5 divide k(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1773 (base 9) to base 5\nAnswer: 20422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1137 less than or equal to 1135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 3*h. Let f(v) = v**3 + 8*v**2 - 10*v - 6. Let z be f(-9). Suppose -11 - 7 = -z*m. Let j(u) = -4*u - 2*u - 3*u**2 + m*u. Give a(j(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 858 - 2597 = -2*g - 5*t, 0 = -2*g - 2*t + 1730. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 6) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -139350*v + v**3 + 139350*v.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -39687\/4 - -9922. Let o = 8 - 43\/5. Let r be 1 + 0 + 4\/2. What is the nearest to r in o, 0.4, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -20*y - 60. Suppose 0 = 40*j + 25 + 95. Let a be n(j). Solve 0 = 5*m + x - 9, a*m - 5*m = -2*x + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n = 6, -5331*w + 4*n = -5329*w + 30 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 288696 and 2072649?\nAnswer: 1569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 19948620 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 47643086 to the power of 1\/3, to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.17 and -14.4.\nAnswer: 16.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-98)\/25 - (2 - 6). Which is the nearest to 2\/5?  (a) -1  (b) s  (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 2*f**2 - f - 44. Let u(l) = 3*l + 61. Let m be u(-22). Let b be d(m). Solve -b + 6 = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2998635 plus -110.69?\nAnswer: 2998524.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 574404450 a multiple of 508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (9\/7 - 1)*-1. Let u = -13835289\/154 + 89839. Let g = -3\/77 - u. Which is the smallest value?  (a) 1  (b) g  (c) x  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 57*z - 74 - 31 - 123. Solve -3*u = 4*x + 29, -z*u + 9 = -3*x - 2*u for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 4441457 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 208 and 650.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1372418 by -41.\nAnswer: 1372418\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(88)\/sqrt(8))*5.\nAnswer: -15 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -13?  (a) 0  (b) -0.09  (c) -5  (d) -6687  (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3591072 and 99752.\nAnswer: 3591072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 9006*b**2 - 45108*b + 397. What is d(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the first derivative of 292 + 0*w**3 - 79*w**2 + 53\/2*w**4 + 0*w. What is the second derivative of v(l) wrt l?\nAnswer: 636*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -86671\/42 + 2067. Find the common denominator of i and -46\/9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-l + 0*l + 3*l)*(2*l - 1 + 1 + 0*l + 0*l - l + (-2*l - 2 + 2)*(2 - 3 + 2)) + 0*l**2 - 5*l**2 + 3*l**2)*(62*l**2 + 40*l**2 + 30*l**2).\nAnswer: -528*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a hour in seconds?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-6) - (-2)\/(-6). Suppose -2 = -3*z + 4. Solve t = 3*m - z*m + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-34)\/(-6) + (-27 - (-220)\/10).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*b = q - 23*b - 20, -2*q + 323 - 311 = -4*b for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 - (-1 + 5\/(-10)). Factor 1\/2*o**4 + 1\/2*o**3 - 1\/2*o - h*o**2 + 0.\nAnswer: o*(o - 1)*(o + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -4 + -33 + 35 + 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) -1  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - -65 - (216 + -217).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 8) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -13940325190705805*p**2 + 6336255720*p - 720.\nAnswer: -5*(52802131*p - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 440388900, 440388899, 440388898, 440388897, 440388896, 440388895?\n\"Answer: -s + 440388901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 7 + (-747)\/(-21) + (-9)\/(-21). Suppose -55 = -6*r - q. Solve r*y - 3 = 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y**3 + 17*y**2 - 71*y + 1. Calculate x(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 2225 = -6*o. Let a = -5 + o. Suppose 0 = -h + 6*h - a. Calculate the highest common divisor of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c + 11 = -4*v, 3*v + 2*c - 2887 = -2896 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20121201111102 + 22201?\nAnswer: 20121201211010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((1 - 1 - d**2)*(0*d + 3*d - 5*d) + 4*d**3 - 22*d**2 + 22*d**2)*(0*d + d + 0*d - 2) to i*d**3 + t*d**2 + j*d + v*d**4 + m and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5825 and 466?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 724*j - 1446*j = -720*j - 12 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 126*b - 105019773 = -105015489 for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 4*l**2 - l - 1. Let a be r(-1). Suppose 0 = -a*o + 3*o - 7. Let z = -4 - o. Solve -z*d + 4 + 11 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -3 - 5 - 278\/(-38) and -9\/76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -123\/41390 and 26\/45529?\nAnswer: 455290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 837769 is divided by 20433?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -2*x - 1. Let u(f) = 0*f - 5*f**x + 0*f + 3*f**2. Let o(k) = -k. Calculate o(u(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -24 + 13879*k**2 - k - 27754*k**2 + 13880*k**2 as c*k**2 + v + g*k and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of -17185 and -0.45.\nAnswer: 7733.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.409 - -0.011. Let a = 0.4199834 - r. Round a to 6 decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-4))\/(5\/(-1705)*11)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 12 + 2. Let n = 17 - p. Let o(a) = -a + 3. Let b be o(6). Sort 0, n, b in decreasing order.\nAnswer: n, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:56 PM and 3:20 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -18*g**3 - 15*g**2 - 11*g - 27. Is n(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7536, -1, -3, -2 in descending order.\nAnswer: -1, -2, -3, -7536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(((sqrt(448)*1*-4 - sqrt(448))**2 - (sqrt(21)\/sqrt(3)*-6 - (0 + sqrt(28)\/sqrt(4)))**2) + -5)*-3.\nAnswer: -32556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 134461140 to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.25 + -0.05. Let w = -0.614 + 0.122. Let h = w - 0.008. What is the second biggest value in 4, -3\/5, h, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2192?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**3 + 10*i**2 - 7*i + 2. Let r be w(9). Solve 6*a - r = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 5, -3, -34, -1, 3 in increasing order.\nAnswer: -34, -3, -1, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 21591 - 21590.86669. What is l rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -130*w. Let r be h(-2). Suppose -r = 2*p - 7*p. Suppose 5*b - p - 48 = 0. Calculate the remainder when b is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -75 or 28563?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the third derivative of t**4 - 10*t**3\/3 - 29*t**2. Does 15 divide a(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -41605 - 3?\nAnswer: -41610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 30242391 to the power of 1\/3, to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 16) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.0417, 1, -46?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2396 + 31ba?\nAnswer: a24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.502 to one dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1404 is divided by 55?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-140)\/(-32) + 3\/(-8). Let p(w) = -5*w**2 - 7*w + 3. Let f(m) = -2*m**2 - 4*m + 2. Let v(u) = 7*f(u) - 3*p(u). Determine v(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 187*b**3 + 6*b**2 - 12*b. Let s(g) = -2618*g**3 - 85*g**2 + 170*g. What is -6*s(r) - 85*y(r)?\nAnswer: -187*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x**2\/3 - 6568*x\/3 - 2190 = 0. What is x?\nAnswer: -1, 3285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = 0, -3*s = -s + f - 8. Let h = 2293.2 + -2290.2. What is the third smallest value in h, -16, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -3*(0 + 2 + -3). Suppose 12 = 4*n - 0*n. Suppose -3*u = g*k, -n*k + 2*u - 3*u = -6. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*h + 9528 = 531 - 2511. What is h rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1214 + -1223. Let f = 128\/183 - 2\/61. What is the nearest to -0.1 in w, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 78 + -76. Suppose 3*b + b = -4*v + 1568, -i*b = -3*v + 1181. Suppose -3*q = -9*f + 5*f + 524, 5*q = -3*f + v. Is 38 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 91*l + 103 + 79. Put -11, -8, -5, -3, l in decreasing order.\nAnswer: l, -3, -5, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ssdqbzg. Give prob of sequence ssb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(304) - (sqrt(304) + (sqrt(304) - sqrt(304)*2))*-1 - -2*(sqrt(304) + 1 - sqrt(304))) + (sqrt(304)*2 + sqrt(304))*-2*6)**2.\nAnswer: -560*sqrt(19) + 372404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*t + 1380 = 4*t. Let y = 515 + t. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10\/(5*((-44)\/(-10))\/11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28283*j + 28316*j - 660 = 0 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 - -21 - (11 - (10 + -14))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10923315 is divided by 180.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + n - 4 = 0, -2*n = -0*i + 4*i. Let h(t) = i*t - 4*t + t. Let y be h(-1). Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 3*z. Suppose 2*y + 2*r - 4 = 4*r, -2*y - 5*r + 4 = 0. Let t(d) = d + 2. Let u(a) = 3*a + 5. Let v(i) = -5*t(i) + 2*u(i). Calculate y*v(s) + o(s).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -3, 193, -5, -266, -2, 1.\nAnswer: -266, -5, -4, -3, -2, 1, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(288) - (sqrt(288) + -1)) + 0 + 5*(sqrt(288) + -2 + sqrt(288)) + -3 + -2)**2.\nAnswer: -2400*sqrt(2) + 28900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11020 = 9*n - 3533. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 48237108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the third derivative of 3*i**7\/14 - i**6\/120 - 167*i**4\/8 + 65*i**2. Find the second derivative of p(d) wrt d.\nAnswer: 540*d**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tgpx when four letters picked without replacement from txptxtgxttggtpxtt?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 - -1a604a1?\nAnswer: 1a604a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 148.7 - 149. Let p = 0.54 + 21.46. Let m = 21.8 - p. What is the third smallest value in m, i, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9*(45\/(-144)*4)\/(-3))\/(108\/(-1584))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-10500)\/1960*84\/18\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes before 1:37 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 56858, 56339, 55812, 55277, 54734, 54183?\n\"Answer: -4*w**2 - 507*w + 57369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1292382 less than 1292382?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*v**2 + 9*v**2 - 5*v**2 - 2*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 425\/34 + -13 - (-14)\/(-4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1\/(-2))\/(7\/(-28)). Let p(c) = -6*c - 3*c**2 - 5 + c**3 - c**2 - 2*c**3 - c**u. Let k be p(-4). Solve 2*i = i + k for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9516020 is divided by 56.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + -0.909603.\nAnswer: -8.909603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 96.2 + -112. Let d = -16 - y. What is the third smallest value in d, -3, -1\/6, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*h**2 - 4 + 20 + 9 + 12 - 5 to m*h**2 + r*h + t and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1461.\nAnswer: 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.05 - -0.1. Let g = a - -0.15. Which is bigger: g or -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11872 (base 15) in base 3?\nAnswer: 2211200122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.2 - -0.3. Let j = -76 - -76. Suppose -6*m + 4 = -2*m. Which is the closest to j?  (a) m  (b) 0  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 37, 37, 53, 91, 157?\n\"Answer: g**3 + 2*g**2 - 13*g + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n - 4. Let c = 53 + -57. Let m(l) be the third derivative of -l**4\/24 - l**3\/2 + l**2. Let v(o) = c*m(o) + 3*h(o). Let j(b) = b. What is v(j(t))?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 556 and 262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 16530799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*i**2 - 5*i**2 + 0*i**2 + (-3 + 3 + i)*(-1 - 3*i + 1) + 5*i**2 - 4*i**2 + 0*i**2 + 2*i + i**2 - 2*i in the form y + x*i + j*i**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 3*r**2 + 2*r**3 - 3*r**3 + 4*r**2 - 12*r**2. Let u be i(-5). Let b(j) = j - 5. Let z be b(u). Which is greater: -4 or z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**3 - 8*a**2 - 3*a - 13. Let c be u(9). Let k = 514 - 491. Let f = c + k. Does 32 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oho when three letters picked without replacement from hhhoohhhhhhohoho?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 - 2937?\nAnswer: -2933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -7209 and -0.5.\nAnswer: 3604.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 48\/9 - 1\/3. Let o(s) = s**3 - 3*s**2 - 4*s - 5. What is the remainder when o(y) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54763?\nAnswer: 23, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3739356503?\nAnswer: 19, 71, 2771947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -4*g**2 - 12*g + 33. Let t be j(-7). Which is smaller: -80 or t?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 143177643.\nAnswer: 3, 7, 457, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -46 + 38. Let q = -59 + h. Let m = q + 131. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-136)\/272)\/(((-49)\/(-35))\/((-8)\/(-10)))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 92, 82, 72, 62?\n\"Answer: -10*r + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5.55 and 0.0379?\nAnswer: -0.210345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the first derivative of 65*z**2\/2 - 3*z - 8. Is j(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j**3\/5 + 7*j**2\/5 - 11*j\/5 + 1 = 0. What is j?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ktt when three letters picked without replacement from tkktkkktkkk.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 114*z**2 - 19*z + 17. Let q be h(1). Let k be 2 + -1 + -3 + 16. Calculate the greatest common divisor of q and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 27\/85 - 5130\/43605.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*b**5\/5 - 224*b**4\/5 + 5472*b**3\/5 + 5924*b**2\/5 - 5474*b\/5 - 1140 = 0. What is b?\nAnswer: -1, 1, 38, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 10*y**2 + 165*y + 22. What is the hundreds digit of p(-19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g**3 - 15*g**2 - 15*g - 11. Let a be x(-14). Suppose -5*v + z + z + 31 = 0, -a*z - 14 = -v. Solve -20 = 4*h + 2*l, -2*l = v*h + l + 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -q + 582*q**2 + 4*q - 2*q.\nAnswer: 582*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -441 greater than -440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*70\/(-125)*20\/8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4*((-65)\/10 + 5) + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) -3378  (c) -0.2  (d) 0.9  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1323 by 6.\nAnswer: -441\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5  (b) -0.3  (c) -5  (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - m + 31 = -2*x, -m - 41 = 5*x. Let v be ((-32)\/208)\/(x\/37). Let t = v + -6\/13. Put t, 11, -2\/5 in ascending order.\nAnswer: -2\/5, t, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8320 divided by -2.\nAnswer: 4160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -3, 4, -6, 16 in decreasing order.\nAnswer: 16, 5, 4, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -66 - 154981\nAnswer: -155047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:01 PM and 9:51 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-126)\/(-7) + (-8 - -17). What is the greatest common divisor of k and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rs when two letters picked without replacement from {t: 1, w: 1, b: 3, r: 3, s: 3, z: 4}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -167.7 times -0.2?\nAnswer: 33.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 958 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.4587 * -51.5.\nAnswer: -75.12305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2599 + 4a?\nAnswer: 2638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 174.736 - -0.264. Let j = f - 175.26. Let z = -0.07 - 0.03. Are z and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the first derivative of 11*u**2\/2 - 2*u - 2. Let f be p(2). Suppose -2*r + f - 8 = -x, -4*x = r - 15. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*w - 3*w + 3*w + (-2 - 1 + 0)*(5*w - 3*w + 0*w) - 8 + 8*w - 14*w + 9*w as j*w + m and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (4 - 24\/6)*(-4)\/(-8). Do -10\/73 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 329 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2\/4697 - 8396\/2343803. Let x = 39311052 - 137313506119\/3493. Let n = x + c. Calculate the common denominator of n and -71\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -8587, 0, 7 in ascending order.\nAnswer: -8587, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 342.3 + -342. Which is greater: w or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 56 and 152?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -d - 22. Let k = d + -33. Let w = 1 - k. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 4*w - 6 = 0, 2*w = -0*f + f. Find the third derivative of -5*l**2 - l**2 + 3*l**2 - f*l**3 - 3*l**3 wrt l.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -26 or 7\/5?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -197*b**3 - 21578 + 191*b**3 + 21563 - 6*b**4 as v*b**3 + c + a*b**4 + f*b + j*b**2 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -0.04 - -20.6\nAnswer: 20.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 523?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*w - 164222 - 439202 - 31504 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u + 737 = 4325. Let b = -614790 + 6769286\/11. Let s = u + b. Is s greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 2250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1030 is divided by 515.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 27, 0, -1\/5, -47 in descending order.\nAnswer: 27, 0, -1\/5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 1\/2, 0.24, 0.3 in decreasing order.\nAnswer: 4, 1\/2, 0.3, 0.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s - 30 = s. Let j be (s\/(-4))\/(6\/(-8)). Suppose -401 = -8*v - 377. Put v, -5, j in descending order.\nAnswer: v, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 437901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 5496, 44014, 148566, 352170, 687844?\n\"Answer: 5503*f**3 - f**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t*t**(-8)*t**(-1\/4)*t**(-6)\/t**(-2) assuming t is positive.\nAnswer: t**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4027436*h**3 + 2*h**2 - 4990*h.\nAnswer: -24164616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add -5 and -840326019.\nAnswer: -840326024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5250 - -1.08.\nAnswer: 5251.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 7 + 0 + 31*r - 2.\nAnswer: 31*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 3*p - 15. Calculate k(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -30*45\/(-4050)*-81.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -22836, -45672, -68496, -91302, -114084, -136836, -159552, -182226?\n\"Answer: x**3 - 22843*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fbfbfbbbfbfffffffff. Give prob of sequence bff.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 1\/4, 14793 in descending order.\nAnswer: 14793, 1\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 2320846*-0.8\nAnswer: -1856676.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the first derivative of -512*k**5\/15 - 128*k**4\/3 - 64*k**3\/3 - 16*k**2\/3 - 2*k\/3 + 57. Determine a so that v(a) = 0.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*h**3 - 9*h**2 - 13*h**3 + h + 11*h**2 + 19*h**3 + 19*h**3 as z + a*h**3 + x*h**2 + m*h and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 - -9. Let u = 9 + 6. Suppose -h + u = b*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -28 + 31. Suppose -169 = -l*y + 2*f + 3*f, -3*y = 5*f - 179. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (8 - 1)*(-6 - -4). Let k = a + 21. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 + 12. Let v(l) = h*l**3 - 16*l**3 + l**2 + 6*l**3. Let b(w) = -8*w**3 + 12*w**2. Give b(j) - 12*v(j).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 175248, 700997, 1577246, 2803995?\n\"Answer: 175250*p**2 - p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 + -26 - (-6 + 10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -2, -211, 5, 0 in decreasing order.\nAnswer: 5, 3, 0, -2, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/69534 and -49\/84986?\nAnswer: 764874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 84 - -37. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:29 PM and 2:10 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4, 3\/11, -0.01, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 5 = 13. Suppose -47*u = -49*u + 34. Which is greater: j or u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4 + 0)*(-18460)\/16. Suppose 0 = 6*k - a - 5279. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**3 + 4*i**2 - i - 4. Let s be o(-4). Suppose 3*v - 3*z - 30 = 0, 5*v + 2*z - 85 = -s*v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 166863197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39 = -h + 6*o, -3*h - 39*o + 44*o - 52 = 0 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.081 or 3.75?\nAnswer: -0.081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 302 less than or equal to 302?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/11*3 - (-103)\/2266.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -113?  (a) -2002  (b) 7  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9606 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 5*l = -15, -5*l = 4*n - 0*n - 33. Let p = -27 - -45. Calculate the highest common factor of p and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ccccc. Give prob of sequence ccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10737?\nAnswer: 3, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 6*k**3 - 1374*k**2 - 1342*k - 8703. What is h(230)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -215 + 1135. What are the prime factors of h?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 - -1*0\/3. Suppose y = -5*k - 0*k + 25. Suppose k*b + 3080000 = b. Round b to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 20 = 8*h. What is the remainder when 6 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -2212, -8590, -19220, -34102, -53236, -76622?\n\"Answer: -2126*h**2 - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6*d - 13*d**3 + 5*d**2 - 11*d**2 - 125*d - 12*d wrt d?\nAnswer: -78*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8\/41 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(117) + 2 + sqrt(117) + -5))**2.\nAnswer: -36*sqrt(13) + 477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 315\/5 + -13 + 16 + -9. Let l = 128 + -52. Calculate the greatest common factor of l and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 37 + -33. Solve 5*h = g + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*y**3 + 3*y**3 + 4*y**3 + 10*y**3 - 3*y**3.\nAnswer: 10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the second derivative of 67*h**3\/6 + 2*h - 32. Let z(a) = 98*a**2 + 2*a. Calculate m(z(b)).\nAnswer: 6566*b**2 + 134*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3071 + 3077. Which is the second biggest value?  (a) 4\/5  (b) -2\/13  (c) q  (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 36690 * -6.46\nAnswer: -237017.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1100011 - -1000111101010000?\nAnswer: 1000111011101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2132168 = 8497*v - 8505*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13479150 and 2300?\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3129321?\nAnswer: 3, 13, 80239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (70\/140)\/((-1365)\/(-60))?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*h**3 - 29 - 8 + 37.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 45466 + -45470. Which is the second smallest value?  (a) j  (b) 0.037  (c) -2\/5  (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 43\/2 of a kilometer?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the first derivative of -14\/9*l**3 + 225 + 2\/15*l**5 + 0*l**4 + 0*l - 2*l**2. Factor a(d).\nAnswer: 2*d*(d - 3)*(d + 1)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 20*n**2 + n. Let i = 2210 - 2188. What is the remainder when y(2) is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -91626343 rounded to the nearest one million?\nAnswer: -92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*j = -31*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 3*d**2 + 2*d + 4637. Is t(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 5*n**2 + 6*n + 6. Suppose -3*t + 23 = -4*c, 5*t - 47 = 3*c - 5*c. Calculate the remainder when u(-3) is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*b + 868 = 358. Solve -10 = -5*l, -b*k + 14 = -13*k - 3*l for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 842758.\nAnswer: 2, 7, 17, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) -1  (b) 0.27  (c) -157197\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 19948 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i**3\/4 + 315*i**2\/2 - 25725*i\/4 = 0. What is i?\nAnswer: -245, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 629612 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1854 is divided by -32*5\/(2 - 22).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 199777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -510542.87 rounded to the nearest one hundred?\nAnswer: -510500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the first derivative of -x**5\/5 + 23*x**4\/4 + 26*x**3 + 2*x**2 - 104*x - 1470. Find a such that l(a) = 0.\nAnswer: -2, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9417228 is divided by 4708597.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 445623, 446758, 447893, 449028?\n\"Answer: 1135*m + 444488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 400557741 and 9.\nAnswer: 1201673223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -75295646 by 1.\nAnswer: -75295646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69*p + 0*r = r + 1522, p - 24*r - 34 = -21*r for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is d in d**2 - 25*d + 100 = 0?\nAnswer: 5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that -2*u**3\/7 + 14776*u**2\/7 - 28282250*u\/7 + 3626812500\/7 = 0.\nAnswer: 138, 3625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 31722 + -18402. Is r a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 868, 866, 854, 826, 776, 698, 586?\nAnswer: 434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/6551888 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1  (b) -18  (c) 7\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*k + 4 - 13. Calculate the remainder when 2 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 84\/(-18) + 2\/(-6) - -6. Let x = -4.98 + -0.02. Which is the closest to 0?  (a) -4  (b) w  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fe when two letters picked without replacement from {e: 3, m: 5, f: 1, w: 4, g: 5}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, -2668, 9, -5 in increasing order.\nAnswer: -2668, -7, -5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82*r = -4*r - 5271942. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9038\/335 + -12\/67. Let q = -2\/18103 - -3837866\/271545. Let z = q - s. Is z at least as big as -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 8*v = 0. Let u = 4 - v. Let a(f) = -3*f**3 - 3*f**2 + 5*f - 9. Let s(d) = -2*d**3 - d**2 + 3*d - 5. Let i(k) = 3*a(k) - 5*s(k). What is i(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4313, 4197, 4003, 3731?\nAnswer: 3381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 141 = -81. Suppose -y - y = -g. What are the prime factors of y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 166 = 4*w + 38, -40 = -w - 3*c. Is (w + 0)*(-149)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 3 = 2*k. Let m = -2 + k. Which is the nearest to m?  (a) -4  (b) -1  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -11810000 to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -2*w + 15. Let m = -302 - -310. Determine t(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -24 - -22. What is the nearest to -2\/5 in 3, 4\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 233*f - 55*f = -6052 for f.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -765, 3, 4\/7, -3, -2\/241?\nAnswer: -2\/241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the first derivative of -y**4\/4 - 19*y**3\/3 - 23*y**2\/2 - 22*y - 85. What is the tens digit of d(-19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5075477, 10151184, 15226891?\nAnswer: 20302598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 39462563\/60 - 657687. Let o = -28\/15 - r. What is the common denominator of o and ((-86)\/(-15))\/((-486)\/45 - -10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 962*l - 1964*l + 920*l - 1 as o + f*l and give f.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1103133 + -1332?\nAnswer: 1101201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 30 + -26. Suppose 4*s + 2*c - 314 = 0, y*c + 0*c = 2*s - 142. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*f**2*h*k + 175*f**2*h + 3*f**2*k + 2*f**2 - 3*f*k - 31*f + 3*h*k - 3*h wrt f.\nAnswer: 4*h*k + 350*h + 6*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 11040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, 22, -2.71211?\nAnswer: -2.71211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x\/x**(-1\/3)*x))\/(((x\/(x\/(x*(x\/(x\/x**16))\/x)))\/x)\/x)*x**(-9\/2)\/(x*x**18) assuming x is positive.\nAnswer: x**(-233\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -16\/11, 1, -3647 in descending order.\nAnswer: 1, -16\/11, -3647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 299*p + 1. Let m be (3 - (-27)\/(-12))*4. Let f be y(m). List the prime factors of 5 + 168\/(-35) + f\/10.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60 = 213*w - 223*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50953258.\nAnswer: 2, 3181, 8009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 229 is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-64)\/(-6) - (-1)\/3. Let c(j) = -j**3 + 12*j**2 - 9*j - 18. What is c(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -13 - -42. Let v = h + -28.99968. What is v rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 5*d - 51, -d = 3*d + 3*t - 57. Let b = 21 - d. Solve -x = b - 14 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wy when two letters picked without replacement from zpyypgwgygzpggzppx?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-48)\/(-5) + (-4)\/(-10). Suppose -3*y - n = 5. Let j = y + 6. Calculate the greatest common factor of 11 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t - 4*s - 10, -s + 2 = 2*t - 0*s. Suppose 0 = 19*j + 16*j - 700. Solve -z = t*z + j for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -44*l. Let f be q(1). Let i be f\/8 + (-2)\/4. What is the tens digit of 4\/(-2)*177\/i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 22 = -j, 0*j - 3*f - 51 = -3*j. Let x = 47 - 42. Suppose -x*c + 2*v = -246, -3*c = -8*c - v + 237. What is the greatest common factor of c and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 64336211 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (12\/(-14))\/(6\/(-21)). Let x(a) = -5*a**3 + z - 2*a + 2*a**2 - 3*a**2 + 12*a**3 - 2*a. Is x(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 149, 332, 553, 830, 1181, 1624, 2177?\nAnswer: 2858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w = t + 18, 3 = w + 2*t + 14 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**2 + 7*d + 5. Let p be b(0). Suppose 2*r = -4*v + 2*v + 6, -10 = -p*v. Put r, -1, -37 in descending order.\nAnswer: r, -1, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 454372 and 15675834?\nAnswer: 31351668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 0*n - 16 = -4*n, 3 = g + n. Suppose -5*j + 21 = g*t - 3*t, j - 5*t + 1 = 0. Let b be 10\/((-1)\/(-10)*j). Solve 4*c - b = -c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 16\/(-6)*(-21)\/2. Suppose 4*a + 0*a - l = 0. Suppose 0 = -a*j + 3*j + 80. Is j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d + 2. Let n be z(-2). What is the units digit of 31 - 12\/(0 - n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1900205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3186244*a**3 + 3186245*a**3 - 6372496*a**3.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27538 is divided by 81.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z - 5. Let j be q(7). Suppose 3*u - 2*u = j. Suppose m = 5 - u. Solve 0 = -m*p - p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 848 + 32*d - 51*d - 433 - 431 - 97*d in the form q + x*d and give x.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(2\/9)*u*u**(3\/14)\/u*u)**(7\/3) assuming u is positive.\nAnswer: u**(181\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 173546384?\nAnswer: 2, 11, 401, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-5 + 2 + 5*sqrt(72) + 1*(3 + 0 + sqrt(72)))**2.\nAnswer: 7776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(672) + -6*(sqrt(672) + 1*sqrt(672)))*-6)\/((2*sqrt(120)\/sqrt(4))\/(sqrt(20)*1)).\nAnswer: 264*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 2*w**2 - 6*w - 2. Let l be r(7). Suppose 121 = 4*g + 49. Suppose a + a = g. What is the greatest common factor of a and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/3)\/(94\/(-3102)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -719, -710, -689, -650, -587, -494, -365, -194?\n\"Answer: i**3 + 2*i - 722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -49\/99 and 43\/299052.\nAnswer: 3289572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -61, -4, 1, 232, 2 in decreasing order.\nAnswer: 232, 2, 1, -4, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 120821.\nAnswer: 19, 6359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**2\/7 - 305*h\/7 - 12662.\nAnswer: (h - 487)*(h + 182)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, c: 1, m: 1, k: 2, v: 1}. Give prob of picking 1 m and 1 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 69*l - 33*l - 385*l**2 + 47*l**2 - 36*l.\nAnswer: -338*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((6*-1*sqrt(684))\/sqrt(12))\/(((2*sqrt(54))\/sqrt(9))\/sqrt(2)))**2 + -4.\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(190)*1)\/(sqrt(40)\/(sqrt(8)\/sqrt(2)))*3 - (5 + (sqrt(2736) - 4*(sqrt(2736) + 1) - (sqrt(2736) + -1)*-3)))**2.\nAnswer: -36*sqrt(19) + 1543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 1159*i**2. Let u(q) be the third derivative of -2*q**5\/15 + 3628*q**2. Determine d(u(s)).\nAnswer: 74176*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.585 - -1.085. Sort -2, 8\/3, 0.35, g in increasing order.\nAnswer: -2, 0.35, g, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 120 - 136. Let z(j) = -2*j - 32. Let r be z(u). Suppose -2*v + r + 6 = -a, 0 = -a - v + 6. Solve a*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -214*c + 94*c - 1596 = -6156 for c.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1700237 and 4043?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of d**2*z + 4*d**2 - 2254*d - 138234*z wrt d?\nAnswer: 2*d*z + 8*d - 2254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1621*k + 136*k**2 - 137*k**2 - k**3 - 1621*k.\nAnswer: -k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 339*q - 4025 = -297*q + 2971 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 35454, 35453, 35452?\nAnswer: 35451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 17293457*a**2 + 16296656?\nAnswer: 34586914*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -146*m - 9. Is s(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 781 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: Calculate the remainder when 23 is divided by 23.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:08 PM and 10:20 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 3*a - 31*a**2 + 1 + 3*a + 30*a**2 + 4*a. Let d be v(-7). Let i = -105 - d. Solve -3 + i = -2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.0849 times -162.03\nAnswer: 175.786347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*c + 2*c + 1760 = 0. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 - -1211220102012?\nAnswer: 1211220102011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4363 - -135259\/31. Is i bigger than -3\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 206591681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -652, -513, 5, 2, 1 in decreasing order.\nAnswer: 5, 2, 1, -513, -652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**2 + 86*h - 487. Calculate j(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the third derivative of -s**4\/3 + s**3\/3 - s**2. Suppose -27*a + 184 = -4*a. Calculate the lowest common multiple of n(-2) and a.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 7*c - 20. What are the prime factors of b(27)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -2*d - 3. Let r = 151 - 139. Let y(w) = -r - 5 + 0*w - 2*w - 9*w. What is -34*p(t) + 6*y(t)?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*c = -22*c - 5*i - 14, 26 = 4*c - 5*i for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 3*p**2 - 2*p + 3. Determine c(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**2 + 73*c + 2. Let f(t) = 7*t**2 + 365*t + 11. Calculate -2*f(a) + 11*y(a).\nAnswer: -3*a**2 + 73*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 124  (b) -14\/61  (c) 2\/115\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 - -7. Suppose -h*g = -30 - 2. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.652228ng to grams.\nAnswer: 0.000000002652228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 505 is divided by 487?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2157 and 25305.\nAnswer: 18194295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (4 + -1)*(-12)\/(-9). Solve z*n = 18 + 2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 372135 by -21.\nAnswer: -124045\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 870 - 867. Let d = -9.2 - -9. Which is the second biggest value?  (a) v  (b) 1\/4  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1609, -7693, -17843, -32065, -50365, -72749, -99223?\n\"Answer: -l**3 - 2027*l**2 + 4*l + 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*k**3 + 34438*k**2 - 3011779*k - 1210222.\nAnswer: -(k - 6799)*(k - 89)*(5*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 26539187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -7769655, -7769666, -7769687, -7769718?\n\"Answer: -5*q**2 + 4*q - 7769654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 1, n: 2, s: 2}. Give prob of sequence ssfn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6 - -21. Suppose a = p + 3*a - 103, -y = 5*a. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-11)\/(-2) + 2\/4. Suppose o + 3*f - 15 = 0, -3*o + 9*f = 6*f + 15. Solve o = 3*y + 4*r + 9, -u*y + 7 = -2*y - r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the first derivative of -l**5\/20 + 3*l**4\/4 - 7*l**3\/6 + 98*l + 227. Let w(n) be the first derivative of j(n). Calculate w(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25740 divided by 5148.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 175120\/351 or 498?\nAnswer: 175120\/351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/24*15 - 1. Let w = -46 + 53. Suppose 1 - w = -m - 2*z, -5*z = m - 18. What is the closest to -2 in -0.1, b, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/(-65) + -1*1*(-15)\/(-315)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2850*c**2 - 632*c**3 - 3*c**5 + 5625 - 1569*c**3 + 1571*c**3 + 69*c**4 - 6375*c.\nAnswer: -3*(c - 5)**4*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.08, 5, -47\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x**2 - 3*x + 1. Suppose 8*c - 2*c + 204 = 0. Let u = c + 38. Calculate n(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the third derivative of u**4\/24 - 3*u**3\/2 + 6*u**2. Let h be t(11). What is the remainder when 26 is divided by 1\/(h*(-1)\/(-28))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/16666856 and 167\/120?\nAnswer: 250002840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4.1 - -1.5. Let r = 0.6 + x. Let u = 3 + r. What is the third smallest value in -3, u, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5.95 - 0.05. Let h = v - -10. Put -5, 1\/4, h in ascending order.\nAnswer: -5, 1\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*o**4 - 25*o**4 - o**3 - 2 + 32*o**4 in the form g*o + s*o**3 + j + l*o**2 + r*o**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 292976.7 seconds in microseconds?\nAnswer: 292976700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*u + 2*r - 40253, -16*u = -19*u + 5*r + 24127. What is the thousands digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 73 = 5*m - 2. Suppose w = m + 11. Suppose 14 - w = -4*q. Does 2 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.03 - -0.37. Which is the third biggest value?  (a) u  (b) 0.1  (c) -2  (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*w - 4*w**2 + 6*w**2 + 9*w + 6*w**3 as v*w**2 + b + t*w**3 + y*w and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d = 4*j - 144, -86*j + 1479 = 5*d - 1617 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1 - (5 - 10\/1)) + -3. Find the second derivative of 181*j - h + 185*j + 110*j**2 - 370*j wrt j.\nAnswer: 220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 26171?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {n: 10, f: 2, g: 3, d: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2.9?  (a) 4  (b) 3  (c) 1.3  (d) 0.3  (e) 2504\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (3\/(-16))\/((-16)\/992) and 5\/38.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the third derivative of 19*j**4\/24 + 49*j**2 - 2. Let l(h) = -8*h - 5. Let u(p) = 52*p + 32. Let f(m) = 32*l(m) + 5*u(m). Calculate d(f(c)).\nAnswer: 76*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 (base 10) in base 3?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w - 6*t = -18, 10 = w + 384400*t - 384398*t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*m - 11*m + 4*m + (-m + 0 + 0)*(-4 + 3 - 1) + m - 1 + 1 + (0*m + 3*m - 4*m)*(-4 + 2 - 6) + (m + 2*m - m)*(-1 + 2 + 0).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23 + 22 + 3 + (4 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*a = -6*a - 18. Suppose 2 = -2*v + 5*f, -3*f = -0*f - 6. Solve -x - a = t, -7 = v*t + 5*x + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -e18334 (base 15) to base 4\nAnswer: -220312221133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.0784 + 0.4784. What is the biggest value in -287, -0.5, 2, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, 12\/7, -7\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.2428 - 133.0972. Let d = 136 + r. Let o = 1.65999921 - d. Round o to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -620*f**2 - 4767*f**2 + 565*f**2.\nAnswer: -4822*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-3)\/54*-3 - (-182)\/(-150) and 47\/105.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yccs when four letters picked without replacement from {m: 2, c: 7, s: 1, y: 2}?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -1650, 3, 5, -2 in increasing order.\nAnswer: -1650, -2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4641 + 948?\nAnswer: -37a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7 + 6402*m**2 + 20*m + 5551*m**2 + 75*m - 22 wrt m.\nAnswer: 23906","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(51) - (sqrt(51) - sqrt(153)\/sqrt(3)*-2))\/(sqrt(576)\/sqrt(12))*-1.\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26753 = -99*i + 40316 for i.\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the third derivative of 0 - 1\/14*t**7 + 0*t + 0*t**6 + 0*t**4 - 1\/30*t**5 + 7\/3*t**3 + 59*t**2. Find the first derivative of g(y) wrt y.\nAnswer: -60*y**3 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 40 - 3*d**2 - 36 - 2*d + 5*d**2 + d**3. Let r be k(-3). Solve -r = 3*b - 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z - 1. Let y be j(3). Let t = 7 + -4. Suppose 9 = t*l, u - 5*l + 0 = -5. Solve -3*m = y*m - u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 3\/4, -2\/99, 41, 0.4?\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -48.3, -4431, 0.4, 5?\nAnswer: -4431","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 100*x. Let g(m) = 2843*m. What is g(z(u))?\nAnswer: 284300*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**2 - 396*j + 8179. Determine y(21).\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.12, -132, 12396?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 7*p**2. Let z(w) be the third derivative of -w**6\/720 + 11*w**4\/24 - 4*w**2. Let d(i) be the second derivative of z(i). Calculate d(v(j)).\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2194 - 61657\/28. Let f = 4679\/4 + -1162. Let z = f + w. Is z > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -2\/19, -3\/4, -57, 3\/8?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 544392*f**4 - 17*f**3 + 118*f**2 + f - 578043 wrt f.\nAnswer: 13065408*f - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*r + 14 = -2*j + 30*r, -3*j - 21 = -5*r for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4283120?\nAnswer: 2, 5, 37, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u**2 + 233*u + 1. What is y(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**2 + 1. Let k(o) = o**3 - o. Let l(t) = k(t) - 2*x(t). Find v such that l(v) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 27*o - 9. Let l be u(7). Calculate the common denominator of -56\/5 and (-988)\/l + 4\/(-10).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.369117949 rounded to three decimal places?\nAnswer: 5.369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g - 8. Let m(d) be the third derivative of d**3\/6 - 3*d**2 - 8*d. Determine -5*m(r) - z(r).\nAnswer: -r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-23 - 594\/(-36))\/(14*10). Is 0 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -3864, -15120, -33882, -60150, -93924?\n\"Answer: -3753*x**2 + 3*x - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67*q = 70*q - 105411. Let g = q + -24084. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11 + -23 + 56225\/1750 and -17\/252?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cy when two letters picked without replacement from {y: 1, b: 1, n: 3, h: 6, c: 3}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 7*f = 24. Let u(s) = s**3 + 3*s**2 + 2*s - 3. Calculate u(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 4026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1227888?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 1 - (0 + (-189)\/45)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -35089041*t. Let o(z) = 16*z. What is l(o(r))?\nAnswer: -561424656*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**5\/l)\/l*l)\/(l\/(l\/(l\/(l**7\/l*l)))))\/(l\/l**(-1))**36 assuming l is positive.\nAnswer: l**(-62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = -9, -42 - 10 = -5*a + 4*q. Suppose -5*r + 119 = 4*y, -3*r + 13 = -5*y - 51. Calculate the remainder when r is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2288 and 7?\nAnswer: 16016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2076.8 + 1753. Let w = l - -282. Round w to the nearest integer.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15824690 rounded to the nearest one hundred thousand?\nAnswer: -15800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-36)\/63 + 54\/168?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvssvllslvsllsvsvvss. What is prob of sequence vlll?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 29 + 4 = 0. Suppose 2*v - 7 = -3*g - 0, -4*g = v - r. Is 16 a factor of g\/(4 - 1)*21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 10*j*l**2 - 6*j*l*q**2 + 2*j*l*q + 5*l**2 + 9*q**2 wrt j.\nAnswer: 10*l**2 - 6*l*q**2 + 2*l*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(132))\/sqrt(12)*-4*-5.\nAnswer: -100*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4435*y = -4405*y - 660. Solve -2*b - 5*x + y = 0, 19*x = b + 21*x - 9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 r when two letters picked without replacement from {z: 4, d: 1, r: 2, e: 7, m: 2}.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 72120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 s when two letters picked without replacement from {w: 4, u: 1, s: 6}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 100161 * -604\nAnswer: -60497244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**3\/2 + 4*m**2 + 17*m\/2 + 5.\nAnswer: (m + 1)*(m + 2)*(m + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s = 3*j + 7, 0 = -396*s + 392*s - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-11*f**3 + f**3 + 4*f**3)*(2 - 4 + 4)*(0 + 1 - 3) to the form d*f**3 + x + b*f + q*f**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 98 - ((-18)\/(-14) - 4\/14) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1194318 - -4168165. Let j = 2973846.2899746 - m. Let c = j + 0.71. Round c to six dps.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5559 is divided by 4499?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 0 + 3)*(4055 + 156*f - 4055) to u*f + n and give u.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-94)\/(-30) + (-1 - -1) and 6\/243*8415\/102?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(108))**2 + sqrt(108) - (sqrt(108) + 2).\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1223894, -2447677, -3671460, -4895243?\nAnswer: -6119026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 57819 is divided by 5484?\nAnswer: 2979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes before 8:04 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.018034 to 4 dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 - 14) + -3 + (8 - 4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*l + l - 7*l + (-2 + 2 - 2*l)*(-4 - 2 + 4) + 19*l + 69*l - 25*l)*(-1 - 6 + 5).\nAnswer: -128*l","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-10)\/8*(1 - 29). Suppose 3*v - a = -2*v. Calculate the greatest common divisor of 49 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -311, -1281, -2907, -5189?\n\"Answer: -328*a**2 + 14*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 973*g**2 - 2 - 109*g**2 + 2 + 940*g**2.\nAnswer: 1804*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 26.44102ug?\nAnswer: 26441.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:18 AM and 2:35 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(1\/5)*f*f\/((f**(-13)\/f)\/f)*f**(-2\/7)\/f**(11\/2) assuming f is positive.\nAnswer: f**(799\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 4*y**2. Let m(x) = -32*x**2 - 6210. Calculate m(f(n)).\nAnswer: -512*n**4 - 6210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.033  (b) -0.04  (c) 0.5  (d) 2  (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -1 + 5 - (-16 - 1) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 162\/297 - (-7 + 9 + ((-7390)\/770 - -8))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - (-2 + 2) - (-32 + 39)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/9 and -4\/275.\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the first derivative of -s**4\/4 + s**3 + 3*s**2\/2 - 6*s - 44. Let i be n(3). What are the prime factors of ((i - 2)\/(-1))\/(1\/(-264))?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -34 in -1.3, 5, -2\/73?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((4 - 2) + -3)*-1. Solve 3 = 4*q - i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1655795, 1656148, 1657111, 1658990, 1662091, 1666720, 1673183?\nAnswer: 1681786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the first derivative of -i**3\/3 - 3*i**2 - 5*i - 125. What is p(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*i - 10*i - 100 = 0. Let g = i - -171. What is the remainder when g is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5 + 14d?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (169*d**2 - 221*d**2 - 220*d**2)*(-2*d**2 - d**2 + d**2 + (-2*d - d + d)*(-4 + d + 4) + d**2 + d**2 - d**2).\nAnswer: 816*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 7 + (-12)\/16.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*u**2 - 3*u**2 - 6*u - 5*u**2 + 3*u + 3*u.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 43, 1217, -994\/3?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 756.63 * 0.5.\nAnswer: 378.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*l - 5*m + 25, -3*l + m + 85 - 98 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {c: 1, d: 16, s: 3}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -80*q - 79*q - 91*q + 418*q - 77*q - 74*q.\nAnswer: 17*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.031 - 5.731. Let l = 0.7 + o. Let k = -0.1 - -0.1. Put l, -5\/6, k in descending order.\nAnswer: k, -5\/6, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*d = 5*h - 106 - 100, 11*d - 4*h + 121 = 12*d - 50 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*b**3 + 3*b**2 + 121*b + 30 = 0. What is b?\nAnswer: -5, -1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.004872073 rounded to four dps?\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**2 + 16*v + 36. Let j be u(16). Suppose -9*z = 3*z - j. Solve z*c + 2 = -7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 534171474.\nAnswer: 2, 3, 29, 1023317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (80\/(-50))\/(4\/(-610)). Let t = z - 86. List the prime factors of t.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2970 is divided by 51?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0195256067 to 3 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h + h + 0*h + (-h - 3*h + 5*h)*(3 - 5 + 4))*(-2*h**4 - 2*h + 2*h).\nAnswer: -8*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 - 2 = 5*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -0.09 times 17132\nAnswer: -1541.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -203012666 divided by -802.\nAnswer: 253133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 29 + 89 = 3*g, t - 2*g = -25. Let o be 2\/20 - 6\/t. Let p = 456.9 + -457. Which is the second smallest value?  (a) 6  (b) p  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/h**9)\/h**(-1\/14)*(h\/h**(-1\/2)*h)\/h**(2\/5))**(2\/17) assuming h is positive.\nAnswer: h**(-24\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -o**2\/2 + 2759*o\/2 + 29190 = 0?\nAnswer: -21, 2780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3653 = 5*z + 3*q + 284, 2031 = 3*z - 3*q. Suppose 0 = -3*r + 612 + z. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0 + -2 - (-15)\/(-5). Let p(z) be the first derivative of 0*z**2 + 0*z**3 - 3 + 3\/2*z**4 - 5*z. Let o(m) = 9*m**3 - 7. Calculate w*o(i) + 7*p(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 75343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4588 or 275?\nAnswer: 275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 253 - 254. Let x be (((9\/(-10))\/(-9))\/1)\/p. Sort 1\/13, -5, x in ascending order.\nAnswer: -5, x, 1\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 127672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -870 + 868. Let f be (1 - -1)*(-1 - -2). Which is the smallest value?  (a) 0.4  (b) m  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21 + (-53 - -42) + 38.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -494697630163.0829 + 494630319057.84290037. Let n = r - -67311136.24. Let s = n - 31. Round s to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 1, 5, -2, -5, 133, -53 in decreasing order.\nAnswer: 133, 5, 4, 1, -2, -5, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 3*a - 54 = -v, 150 = 5*v - 5*a. Let p = 38 - v. Put -2, -3, p in descending order.\nAnswer: p, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 599960 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aaaaagaagaaaaaaaaa. What is prob of picking 2 g?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 143450\/65 - 9\/(-117)?\nAnswer: 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -43520 by 2622.\nAnswer: -21760\/1311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**2 - 9*v + 4. Let q(x) = x**2 - 8*x + 4. Let n(a) = 5*q(a) - 4*z(a). List the prime factors of n(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes after 10:07 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 23 - 70\/3. Let l(q) = -q**3 + 5*q**2 - 5*q + 4. Let t be l(4). Let f = 15\/2 - 59\/8. What is the nearest to k in f, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = -0*l - 2*c - 26, 0 = 5*l - 5*c - 45. Let r be (l + 1)*(-168)\/15. Let j be (18\/7)\/((-12)\/r). Solve y - j = 4*h + 8, 0 = 5*h + y + 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14 * -3556\nAnswer: -49784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**3 + 8*h**2 - 8*h. Let y be d(7). Let o be 2 + -1 - 2 - y. Solve 0 = -3*g + 6*g - o for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x**3 + 4*x**2 - x - 5. Let z(w) = -64*w - 641. Let i be z(-10). Let t(u) = u**2 + u - 1. What is i*s(p) + 4*t(p)?\nAnswer: p**3 + 5*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + 2*-76 - -186*684\/5301.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 109679300.\nAnswer: 2, 5, 1096793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -1\/1241138?\nAnswer: -1\/1241138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*j = 5*j + 132 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 50 (base 7) to base 12\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -0.4, 20, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -1639, -5, 540 in decreasing order.\nAnswer: 540, -1, -5, -1639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -41*v + 12. Let w(r) = -116*r + 34. Let n(o) = 17*i(o) - 6*w(o). Let d(z) = -2*z**2 - 233*z. What is d(n(c))?\nAnswer: -2*c**2 + 233*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 18 - 4*l**3 - 5*l**2 + 5*l**2 + l**2 + 2*l**4 - 7 + 11*l + 2*l**3 as r*l**4 + w*l**3 + g + t*l + n*l**2 and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 0, -5, -0.6, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 288 + 28. Is t a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0\/(7\/7) + -7 + (-33)\/(-5). Sort 1\/3, o, -15.7, 5.\nAnswer: -15.7, o, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 131 is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.4  (b) -4  (c) 3  (d) -2142\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -10110100 (base 2) in base 8?\nAnswer: -264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9021764 by -49844.\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 + 7. Calculate the highest common divisor of i and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express n**2 + n**2 - 4*n**2 + (4 + 8 - 5)*(2*n**2 + 2*n**2 - 2*n**2) + (-3*n + 3*n - 2*n)*(7*n - 4*n + 4*n) + 0 + 0 - n**2 as g + y*n**2 + f*n and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ae when two letters picked without replacement from {m: 3, h: 6, e: 2, a: 1, b: 3, l: 4}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 30.1  (b) 2\/3  (c) 1\/3  (d) -57  (e) 3\/4  (f) -1\/8  (g) 18\/17\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 4290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m - 5*s = 0, -145 = 2*m - 5*s - 142 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*k**3 + 21*k + 17*k - 68*k + 20*k**3 + 12*k + 15*k.\nAnswer: 12*k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -140325522*g**2*o - 4*g*o + 11536*g - 6*o + 4 wrt g.\nAnswer: -280651044*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 133134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -18 - 17\/(8415\/(-8940))\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 13 + -766?\nAnswer: -753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 23 or -4\/7?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -45902 + 45906. Let z(l) = l**3 - l - 2*l - 2*l**2 + 5*l. Let b be z(2). Solve -4*f - 3*i = -b, 12 = i - o*i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -80 - 4*x - 3*x + 73. Let s(f) = 20*f + 20. What is -14*g(v) - 5*s(v)?\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 48 + -126 + 58 + 76.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a + 4, u + 5*a = 4*u + 14. Is 19 a factor of 2 + u + 5 + 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the second derivative of -9*o**5\/20 - o**4\/12 - o**3\/6 - o**2\/2 + 8*o. Let q(c) = -c**2 + 2*c - 2. Let y be q(2). Let z = y + 1. Calculate d(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 134*j**2 - j - 761 wrt j.\nAnswer: 268*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes before 10:25 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o - 88 + 88. Let h(p) = -9*p + 9. Let x(q) = 14*q - 13. Suppose 5*a - 24 - 1 = 0. Let m(j) = a*x(j) + 7*h(j). Give -m(c) - 5*u(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 + 11 = -3*j. Let f = j - -136. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = -1 + 7. Suppose -z*x - 9 = -x. Let c(u) = 2*u. Let a(l) be the second derivative of -l**3\/6 - 113*l + 1. Determine x*a(g) - 4*c(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -44952 divided by 3\nAnswer: -14984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 3 + 4)*(-18*t - 240 + 240)*(-t**2 - 3*t + 3*t).\nAnswer: -18*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/(-12) + (-102)\/(-8). What is the tens digit of (-11970)\/(-234) - 2\/o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/1*(-2)\/(-164).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/12)\/((-28)\/(-8) - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 4*s = -35, 5*q + 0*s - 30 = s. Let l = -39 + 194\/5. What is the third biggest value in q, l, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c\/c**(2\/7)*c\/(c*c**3\/c*c)*c*c**5\/c*c*c*c**(-1\/12) assuming c is positive.\nAnswer: c**(389\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -38 * 147.566\nAnswer: -5607.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 77 a factor of 529357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9668?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 + 4 = -4*h. Round h to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -12*f. Let y be r(-1). Let i be 14\/(-5) + 4\/(-20). Let a = i + y. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 7*p - 202. Let w = 27 - p. Differentiate -20*g - 4 + 10 - 1 - w with respect to g.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand x**2 - 2*x**2 - 3*x**2 + (21 - 21 + 22)*(x + 5*x - 3*x)*(-13*x + 1638 - 1638).\nAnswer: -862*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000056491899 rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -69510, -69354, -69198, -69042, -68886, -68730?\n\"Answer: 156*q - 69666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 93031 divided by -2137.\nAnswer: -93031\/2137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 31  (b) 2  (c) -3\/7  (d) 7\/2  (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 194 is divided by 64?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j**0)**(-49)*(j\/j**(-3))**41)**44 assuming j is positive.\nAnswer: j**5060","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-22)\/11)\/(70\/140)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes after 8:58 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33080045.\nAnswer: 5, 17, 19, 20483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 144\/27 - (-8)\/(-6). What is the first derivative of -2188*d + 2188*d - 2*d**i + 90 + 33*d**2 wrt d?\nAnswer: -8*d**3 + 66*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 320132 (base 5) in base 10?\nAnswer: 10667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ar when two letters picked without replacement from {r: 1, h: 3, j: 5, a: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -804497, -804648, -804799?\nAnswer: -804950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -76*n**3 - 2 + 4*n - 14*n + 8*n - 4*n**3 to the form o*n**2 + y + p*n**3 + q*n and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19, 0.05, -1\/6, 0.3, 3\/5 in decreasing order.\nAnswer: 3\/5, 0.3, 0.05, -1\/6, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/12 and -37\/392.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 3*c + 11, -2*c - 4*z - 8 = -6*z. Suppose 2*y = -140 + 152. Suppose 5*v - 15 = -5*h, -4*v = -h - 2*v - y. Sort c, 5, h in decreasing order.\nAnswer: 5, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7, -2, -11, -20, -29?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -135983 greater than or equal to -135896?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 174 + -62. Let v = b - 112. Suppose v = 164*r - 162*r - 2. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 19883\/7 - 2840. Which is the second biggest value?  (a) q  (b) 94  (c) -2\/75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22 - (0 - -7 - 16).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -316, -1191, -1984, -2695?\nAnswer: -3324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 33\/(-2)*14\/21. Let p be (21\/(-5) - u\/55) + -3083. Let i be (p\/7)\/((-3)\/2). What is the greatest common divisor of 42 and i?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c - 11*c - 15*c. Let l(m) be the third derivative of -m**4\/3 + 10*m**2 + 4*m. What is g(l(j))?\nAnswer: 216*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 90521 - 29022. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((6\/6)\/(-10))\/(20\/40)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve t + 13 = o, -8*t + 2*o - 7*o - 93 = -2*o for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/4 + (-345)\/(-30). Sort 3, p, -3, -5 in decreasing order.\nAnswer: p, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -120.95 + 12.22. Let s = -108 - d. Let b = s + -0.787. What is b rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4028 and 2438?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 24.68 + -299.88. Let x = -275 - k. Which is smaller: -1\/8 or x?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 39429607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + sqrt(128) + -2 + sqrt(128).\nAnswer: 2 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -13 + 23 - 10 + 4*b in the form h + r*b and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the third derivative of -7*c**4\/12 + 59*c**3\/6 + 27*c**2. List the prime factors of j(-18).\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11041781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pu when two letters picked without replacement from {p: 3, u: 5, q: 1}?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the first derivative of 412*f**3\/3 + 2791*f**2\/2 + 6518. What is the second derivative of r(s) wrt s?\nAnswer: 824","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 69820 rounded to the nearest one thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -11326*z**3 - 24*z - 1. Let w(k) = -22652*k**3 - 56*k - 2. Give 3*w(g) - 7*y(g).\nAnswer: 11326*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:12 PM and 7:49 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*g + 13772*l - 13757*l + 13, -7 = 4*g + 3*l for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.527603 rounded to 1 decimal place?\nAnswer: 11.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 2 e when three letters picked without replacement from ceewceceeewececccc?\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1215642 and 184?\nAnswer: 4862568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 878*c**3 + 759*c**3 - 1696*c**3.\nAnswer: -59*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g\/g**(-4))**50*g\/g**(3\/7)*g*g**(1\/4))**(-6\/5))**26 assuming g is positive.\nAnswer: g**(-274989\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**3\/3 + 646*v**2 + 5152*v + 30880\/3.\nAnswer: (v + 4)**2*(v + 1930)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 605 + -7?\nAnswer: 5cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 76\/171 + (-12)\/27. Solve h - 4*h + 3 = s for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**3 - 2*g**2 + 3*g + 2. Let u be c(-3). Suppose -2*a + 14 = -u*b, b = -0*b + 4. Suppose 0 = -2*t + 3*t - a. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 3*g + 3. Let f be r(-3). Let h(o) = -41*o + 14 + 99*o - 35*o - 35*o. List the prime factors of h(f).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w - 1 = -17 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -34 + (51 - 36) + 8 - 52\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bonebbbboeooooovebo. What is prob of sequence obev?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {a: 2, i: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 101 - 6644604?\nAnswer: -6644503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*x + 16, 4*j - 44 = -2*x - 2*x. Put -2\/7, -2, j in decreasing order.\nAnswer: j, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153) - -2*(sqrt(153)*-2 - sqrt(153)))\/sqrt(9).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.24, -2, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/5  (b) 1984  (c) 4\/73  (d) 5  (e) -1  (f) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -6597 + 3?\nAnswer: -6594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 3623, 3629, 3635?\n\"Answer: 6*u + 3617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 14 and -25.\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 61493.463 times -0.5?\nAnswer: -30746.7315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*m - 2 - 4*m + 3 + 6.\nAnswer: -m + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/(-2)*21\/2. Let n = 0 - -2. Suppose 65 = n*s - 19. What is the highest common factor of z and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9 - -13. Let c = -25 - -29. Let n be 6\/(-1 + 4)*2. Solve -n*k = -q - c for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 30475?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the third derivative of 0*f**6 + 1\/6*f**4 + 9\/56*f**8 + 0*f + 3*f**3 + 64*f**2 + 0*f**5 + 1\/105*f**7 + 0. Find the second derivative of j(k) wrt k.\nAnswer: 1080*k**3 + 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2265 - 4257. Let u = j + 3774. List the prime factors of u.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/5 of a century in decades?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.2 - -1.2. Let y = -319219\/498 - -641. Let f = 505\/3486 + y. Which is the closest to -0.1?  (a) f  (b) l  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -u + 4*u - 4*u**3 - 2*u - 4*u**3.\nAnswer: -8*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 299 divided by -1.\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -35*q + 528. What is x(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*x - 8 - 13 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*g**2 + 4 - 4 + 6*g**2 - g**2 - 3*g**2 + (-6 + 4 - 5)*(-2*g + 2*g + 4*g**2).\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, s: 5, h: 4}. What is prob of sequence hhoh?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x + 2. Let j(m) be the third derivative of m**5\/12 - m**3\/6 + 4*m**2 - 10*m. Let l be j(x). Solve 3 + 17 = -l*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, -12, -0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -12221010210002 (base 3) to base 14\nAnswer: -5c09b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 15\/(-27) + (-2)\/(-9). Sort 1\/5, c, 2\/7 in descending order.\nAnswer: 2\/7, 1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 51\/1190*(-15)\/18*(-2)\/2*6.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51*t - 6*t = 2*t - 7*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11110 - 2?\nAnswer: -11112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -35*r + 6 + 13*r - 3 + 20*r. Determine k(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/1*171\/342\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (4 + -1*sqrt(13) - (sqrt(13) + -2*(sqrt(117) - sqrt(13)))**2).\nAnswer: -108 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 11 and 2123?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7244664 and 3132.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -83619.3826 rounded to the nearest 1000?\nAnswer: -84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -179\/738 + 5\/246. Which is the fourth biggest value?  (a) o  (b) 0.3  (c) 31  (d) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p**2\/7 - 756682*p\/7 + 44637276\/7 = 0 for p.\nAnswer: 59, 378282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 2*b**3 - 3*b**2 + 2*b - 2. Let l be j(2). Let o = -19 + 61. Calculate the highest common divisor of o and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 219532445, 219532444, 219532443, 219532442, 219532441, 219532440?\n\"Answer: -v + 219532446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qywyyzi. Give prob of sequence zi.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -7*j + 257. What is s(42)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**2 - 4 - 4*v - 2 - 4 + 5. Let b(x) = 2*x**2 + x - 4. Let i be b(0). Determine o(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the third derivative of 5\/24*q**4 + 2\/15*q**5 - 2\/45*q**6 + 0*q - 3*q**2 + 0 + 1\/9*q**3. Factor h(j).\nAnswer: -(j - 2)*(4*j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11\/7 - 142\/(-353864)*-16999.\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 461387 is divided by 115336.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -141 divided by 83?\nAnswer: -141\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*l + 48 = -24*l - 17*l. Let k(d) = 5*d - 10. What is k(l)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is (6 + 50\/(-10))\/((-30)\/(-360))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -553\/5 in 5, -1\/4, -0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least as big as 9\/36867217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vqzvzvztzqv. What is prob of sequence zt?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a kilometer in meters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 divided by -1?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(4\/5)*(i**(-3\/5)*i)\/i*i*i**(-11)*i**(-11) assuming i is positive.\nAnswer: i**(-104\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-32 - 8 - -30) + (15 - -4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1546*s = -5169*s - 2597*s - 366820 + 93140 for s.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8.43 or 0.5?\nAnswer: -8.43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1\/(-3)*0)\/(-3). Suppose h*g = -4*g + 132. List the prime factors of g.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1073 and 5587.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 493080 and 2958480.\nAnswer: 2958480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -4, 2\/15, -11, -0.2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*d = -37*d - 360. Let f = 95 + d. Solve -s = -f*u - 6, -u = 4*u + 4*s + 26 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 108884, 108887, 108890, 108893, 108896?\nAnswer: 108899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 48 + 529*c + 688*c + 39 + 36*c - 89 to the form r*c + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.4, -3\/5, -3, 556, -6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 32.347 * 0.5.\nAnswer: 16.1735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o + 26 - 24. Is o not equal to 2\/89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 36 + 16\/(16\/4). Let b = p - 19. Let f = b + -13. Solve 4*i + 2*j + 22 = 0, -4*j = -2*i + f + 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u - 52906 = -52900, t + 5*u - 25 = 0 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 0 + 2*j**3 + (-2*j**2 - 2*j**2 + 2*j**2)*(-1 + 1 - j) + (-3*j**2 - 2*j**2 + 4*j**2)*(-3*j + 4*j + 2*j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4415394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 37*k + 27 = -41*k, 4*u - 4*k = 24. Let v be 3 + (-2 - (1 - 2)). Factor -4*o**v + 2*o - 4*o - o**u - o**3.\nAnswer: -2*o*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 15445*b*o + 1674*o wrt b.\nAnswer: 15445*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -124 + 104. Suppose -3*u = p*w - 19579, 42024 = 5*u + 2*w + 9405. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.22, 0.19, 5, 4\/3 in increasing order.\nAnswer: -0.22, 0.19, 4\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*r**3 - 27*r**3 + 47*r**3 + 17*r**3 + 15*r**3.\nAnswer: 84*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) 0.5  (b) -2\/3  (c) -87  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72 = -5*w + 77. Put 16, w, 2 in decreasing order.\nAnswer: 16, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n**2 + 0 + 0)*((1 - 1 + 2)*(-n + 0 + 0 + (1 + 1 + 0)*(0*n - 6*n + 4*n) - 80*n + 20*n + 39*n) - 3*n + 4*n + 2*n).\nAnswer: 98*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0.05, -3, 0.07, 2\/7?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the first derivative of -m**4\/18 + 4936*m**3\/27 - 1520285*m**2\/9 - 6100900*m\/9 - 642. What is q in b(q) = 0?\nAnswer: -2, 1235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) -2\/7  (b) -0.5  (c) 6\/11  (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 171\/19*40\/6. Let o(m) = -m**3 + 7*m**2 + 2*m - 2. Let h be o(3). What is the greatest common divisor of h and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = 5*y + 1502, 0 = -2*z + 5*y - 2*y + 1502. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-5)*d\/(d\/((d\/d**1)\/d)))\/(d**(-3)\/(d*d\/d**(-1\/5)*d*d)) assuming d is positive.\nAnswer: d**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*-8.02.\nAnswer: 40.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mssomssddmm. What is prob of sequence ms?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**3 - 3*l**2 - 3*l. Let y(s) = 3*s**3 - 8*s**2 - 10*s. What is 8*p(i) - 3*y(i)?\nAnswer: -i**3 + 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**2 + 59*w - 205. Determine t(54).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 3952  (b) 962  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 48505547 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**2 - 1. Let b(t) = 2*t**2 + 5*t + 2. Let f be (-6)\/(-4)*10\/(-15). Let k = -1 - 2. Let s(a) = f*b(a) + k*l(a). Give s(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 34*x + 19. Let v(p) be the first derivative of p**2\/2 - 664. Give v(c(s)).\nAnswer: 34*s + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d + q, 5*q + 17 = 5*d + 8*q. Solve 6 = -u - 2*r, 4*u + 9 = -4*r + d for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 57 divide 22287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w = -0*w + 2*w - 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (248\/24)\/(-1 + (-4)\/(-3)). Let c = r - 67. Let l = c + 124. Calculate the greatest common divisor of 8 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -24*f**2 - 2*f - 19. Let s(k) = 26*k**2 + k + 20. Let u be 6 + 2*(-12)\/8 - 7. Let n(l) = u*s(l) - 5*i(l). Is n(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 36450?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 131 - -46544?\nAnswer: 50005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 30, 59, 82, 99, 110, 115, 114?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - l = -3*l + 4, -2*d = 5*l + 2. Let g(m) = -d*m + 0*m + 9*m + 7*m. Let b(x) = -29 - 2*x + 62 - 33. Calculate b(g(k)).\nAnswer: -24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 411, 2, 7360, -3, 0, -1, -2 in descending order.\nAnswer: 7360, 411, 2, 0, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o + 6. Let j(r) = 14*r - 77. Let i(f) = -3*f + 18. Let k be i(4). Give k*j(x) + 77*p(x).\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 418, 419, 420, 421, 422?\nAnswer: 423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 237963 is divided by 664?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 4, y: 6, f: 5}. What is prob of sequence fff?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 87\/20 and (-9 + 7)\/(16\/34).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -142 * -8140\nAnswer: 1155880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**5\/d**2)\/(d**(-8\/7)*d**(3\/7)))**(-49))**(-7) assuming d is positive.\nAnswer: d**1274","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(5\/4)\/(w\/(w\/((w*w\/w**20)\/w)*w)) assuming w is positive.\nAnswer: w**(85\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 3*b = 2*i + 1916, 4*b = -20. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63 = 3*s + 294. What is the common denominator of s\/12 - 3 - 2 and -121\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4994 and 655402?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -2*d - 36, 3*m - m = -5*d - 150. Which is smaller: -30 or d?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) 0  (c) -4  (d) -3.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-17)\/7)\/(16\/70*535\/856)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 3411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 + 0)*(7 - 4) - (-9 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000708 to six decimal places.\nAnswer: 0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -552 + 1037. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 80471 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4.52 + -2.52. Suppose -d + 2*f + 2 - 4 = 0, -f + 2 = -d. Is d not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 1 z when three letters picked without replacement from omettfzzffzf?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y + 2 + 54. Calculate the greatest common divisor of 14 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 (base 12) to base 9\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5397*k + 3284*k + 662580 = -9724*k for k.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -638.49929 and -3.\nAnswer: 1915.49787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1549787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -7*v. Let m(d) = -3918182*d. Calculate m(g(c)).\nAnswer: 27427274*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the third derivative of -2*a**7\/105 - 2*a**3\/3 - 6*a**2. Differentiate z(c) wrt c.\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 562368253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -136608 by 4269.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17814*r + 17808*r + 119*r**2 + 40 - 40.\nAnswer: 119*r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9936 is divided by 368?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -67\/12 and -13\/530.\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14\/3 - (-2)\/(7 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -6*i**2 + 3*i - 9. Let s(d) = -3*d**2 + 2*d - 5. Suppose 4*h + 10 = 2*v, -4*v + 11 = -5*h + 3. Give v*g(o) + 5*s(o).\nAnswer: 3*o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**3 + 3*b**2 - 2*b + 5. Let w be -4 + (-49)\/(-7) + -1*6. Give l(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 799712505 less than -0.00793?\nAnswer: -799712505.00793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 41*m**2*p**2 + 66451*m**2 - 21*m*p**2 + 463199*p wrt m?\nAnswer: 82*p**2 + 132902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/2*1*-2. Let s = 2 + j. Suppose 2 + 1 = -3*t. Sort 4, t, s in increasing order.\nAnswer: t, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.206 rounded to one dp?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 1208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 328968?\nAnswer: 2, 3, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 504716\/(-55876) + 2 + (-120)\/61 + 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -475*c = 390622 - 392522 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 38922851?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u + 8. Let h be t(-7). Let q = h + -9. Calculate the remainder when 11 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 5, -5, 4 in increasing order.\nAnswer: -5, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 9911  (b) 0.4  (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q = 2*j - 2, 558 = -3*j + q + 556 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -6\/7, -3, 9, -11428\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 4, -7, 4\/9, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 48455\/44 - (-1)\/(-4). Suppose -1677 = -6*n + y. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 113901752050245+8\nAnswer: 113901752050253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.4927 and 0.5?\nAnswer: 0.9927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-92)\/5)\/((-1140)\/(-75) + -15). Let i = o - -92. Let v = -7 + 5. Put v, i, 3 in decreasing order.\nAnswer: 3, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 3929 = -8*l, -3*a - 2*l + 0*l + 2363 = 0. What are the prime factors of a?\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 38\/14 - (-8)\/28. Let f(b) = -b**3 + c - 1 - 13*b**2 - 13*b + 2. What is the tens digit of f(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1704465711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 5, o: 4, u: 6, h: 4}. What is prob of sequence uuj?\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 3*u = 129, 2*r + 3*u + 40 = 122. Suppose s - o - r = -3*o, -5*o = s - 47. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 5 - 1)*(-18*p - 42 + 42).\nAnswer: 108*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1184 in -1\/10, 1\/4, 86?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110 + 1111010101?\nAnswer: 1111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 + -984c938?\nAnswer: -984c93d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 14*o**2 + 99*o + 707. Is v(-58) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 4 - 8 - 1 + 39*f**2.\nAnswer: 39*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 106 + -34. Suppose -6*d = -9*d + z. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 2 + 32*m**3 + 2*m**3.\nAnswer: 34*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -3271 * 0.5\nAnswer: -1635.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 459593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + 3 + (3 + sqrt(176)*-1 - sqrt(176))**2 + -5*(sqrt(176) - 1*sqrt(176)))*-3.\nAnswer: -2139 + 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.1 - 0.3. Let i = -0.68 + 0.98. Suppose 8*l - 35 = l. What is the biggest value in q, i, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**2 + 3. Let c be t(-9). Suppose -4*r + 4*z + c = -0*r, 71 = 3*r - z. Suppose r = u - 24. Calculate the highest common factor of u and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6 and 991?\nAnswer: 5946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x**2 + 4*x + 3. Let m be z(-3). Solve -3*g = -m*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**3\/9 - 2*z**2\/3 + 2*z - 10\/9.\nAnswer: -2*(z - 1)**2*(z + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rrii when four letters picked without replacement from miiriimr?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**2 - 4*z + 8. Let o be c(4). Solve 3*d + 10 = o*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - -5) + -8 + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 + -5. Suppose x + v = 3, -3*v = 4*x - 5*x + 11. Suppose r = x*u + 8 - 18. Solve -3*c = -5*q + 26, 2 = -q - u*c - c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 210120 - 1?\nAnswer: 210112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2 - 192)*12\/(-10). Let z be (a\/18)\/((-1)\/3). Calculate the smallest common multiple of 8 and (-1)\/((2\/z)\/1).\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 11214122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -2*n + 5. Let y be 3\/(-2*(-5)\/10) + 3. Calculate h(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -5*s - 3*c + 47, -c + 56 = 5*s. List the prime factors of (-2)\/s + (-17493)\/(-77).\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-247 - -252) + (-1 - -11)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p - 2*p + 4*w - 78299984, 0 = -2*p + 4*w + 52200016. Round p to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4765 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -340\/49 in 0.1, 5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 75 + 84*b - 941*b - 48 - 27 + 5*b.\nAnswer: -852*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -2*i. Let n be (-2)\/(-4) - ((-135)\/10 + 10). Sort -3, n, i in increasing order.\nAnswer: -3, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.4 or 223255526?\nAnswer: 223255526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6635 - -6630. Sort -1, k, 0, -89, 1.\nAnswer: -89, k, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -3*w - 7 + 4*w - 5. Let z be m(15). Suppose -3*j - 9 = -3*c, -c + 0*c = -z*j - 1. Solve -j = -a + 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5 + -1. Suppose -5*b = -f*b - 4. Let h be (b - -3) + -2 + -2. Let m(w) = -w**2 + 3*w. Give m(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -257*s + 1 + 507*s - 253*s - 2*s**2 in the form z*s**2 + x*s + o and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 33 = -0*j + 5*j, 3*j - 4*r = -6. Let m(y) = y**3 + 7*y**2 + y + 3. Is m(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 - 203?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0090323 + -167104.\nAnswer: -167104.0090323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52025?\nAnswer: 5, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -2*o**3 + 103*o**2 + 48*o - 395. List the prime factors of s(29).\nAnswer: 2, 19421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l + 10. Let y be w(10). Let k = y - -3. Let t be 1\/(-3)*-9 + 2\/(-2). Solve -t*g - k = 5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -7*k**2 + 2*k - 1. Let q be o(1). Suppose 0 = -2*p - 2*p - 32. Let t be 4\/q - p\/3. Solve -t*f - 12 = 4*c + 2*f, c + 2*f + 7 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3 - -545?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 43823 divided by -13?\nAnswer: -3371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 245468 is divided by 22309?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ppps when four letters picked without replacement from {d: 7, s: 4, p: 3, j: 4}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 52 (base 14) to base 11\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3 + -4 - (77 - 2). Let x = n + 76. Determine i so that 1\/6*i**3 + 1\/3*i**2 + x*i + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in twenty-five halves of a microgram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 29 - 16 = 3*j, -3*j - 66 = 4*b. Let k be ((-30)\/j - 2)*-3. Let u(q) = 16*q + 1. Calculate u(k).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1764.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v*v**(-10)*v\/v**(-8))\/(v*v*v\/v**3)**(1\/23) assuming v is positive.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -81*f**3*i*w*z + 2*f**3*w**2*z**3 - 2*f**2*i*z**3 + f*i*w**2*z**3 + f*i*w**2 + 17*f*i*w*z wrt f.\nAnswer: -486*i*w*z + 12*w**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 98 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1\/3*y**2 + 59\/3 + 20*y = 0 for y.\nAnswer: -59, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 39\/(-189) + 2\/(-9). Suppose 2*y = -0*y - 30. Let b be (-3)\/(y*(-1)\/(-2)). What is the second biggest value in 5, a, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((-5*sqrt(44))**2 - (sqrt(55)\/sqrt(5) + -1)**2 - sqrt(66)\/(sqrt(36)\/(sqrt(6)*2))).\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 45.07624ml to litres.\nAnswer: 0.04507624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + l - l**2 - l)*(l - 2 + 2)*(5 - 9 - 1).\nAnswer: 5*l**3 - 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 294850?\nAnswer: 2, 5, 5897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 4 = 4*q - 8, -4*q - 16 = 3*a. Let c be (1\/(-6)*a)\/(2\/3). Solve -y = -2 + c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-1\/7)*p*p**(3\/7)*(p*(p*p\/(p*(p\/p**7)\/p*p*p))\/p)\/p*(p**(-1\/5)*p)\/p assuming p is positive.\nAnswer: p**(213\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/(2\/3284*-3). Let v be (-20)\/50 - (-8301)\/15. Let y = o - v. Are y and -6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-15684)\/132 - 4356\/(-5324)?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes after 6:56 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2917 + 797 + 1321 + 799 - 141*l.\nAnswer: -141*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/82 + 72450\/(-14350) - (-215)\/(-45).\nAnswer: -88\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) + sqrt(156)\/(sqrt(12) - -2*sqrt(12)) + sqrt(13) - (1 + sqrt(1872))) + 0.\nAnswer: -29*sqrt(13)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 96 a factor of 4437487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (0 + (-2 - 2) + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1124, 2320, 3516, 4712?\n\"Answer: 1196*x - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*o + 4*o = -12. What is the nearest to 1 in -5, o, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (16 + 48 - -4) + -18 - 20?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kgk when three letters picked without replacement from {k: 8, g: 5}?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*z - 4*z - z + (4 - 3 + 2)*(-z - 4*z + 3*z) + (7 + 3 - 7)*(2*z - 1 + 0*z + 3).\nAnswer: -5*z + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -382329, -764660, -1146985, -1529304, -1911617, -2293924, -2676225?\nAnswer: -3058520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*k + 14*k + 70 = 0. Calculate the smallest common multiple of (-8)\/(-4) - -44 - k\/(-1) and 40.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 21 = 2*h - 3*g, -2*g = -2*h + 2. Suppose -w - 3 = 0, -39 = -3*q + 5*w + 33. Let v = q - 17. Solve -f = -v*f - h for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 144687 to the power of 1\/2, to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -77649, -6, -22 in descending order.\nAnswer: -6, -22, -77649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3169, -3187, -3223, -3283, -3373, -3499, -3667?\nAnswer: -3883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the second derivative of -t**5\/4 - 170*t**4 - 5844*t. Factor i(a).\nAnswer: -5*a**2*(a + 408)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 2638, 5277, 7916, 10555, 13194, 15833?\n\"Answer: 2639*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 2*i**2. Let c(g) = -82049964*g. Give c(b(l)).\nAnswer: -164099928*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -1.7 times 643.5\nAnswer: -1093.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11\/20 + -1\/20. Let z = 5.8 - -1.2. Let o = 4 - z. Which is the nearest to 0.1?  (a) n  (b) o  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22603660 (base 8) in base 15?\nAnswer: -671e13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/21*(-6296)\/(-103884)*4\/((-96)\/27)?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**3 + 13*o**2 + 10*o - 24. Let k be x(-12). Suppose -4*p - 12 = k, 0*b - 21 = 3*b + 2*p. Sort b, 5, 4 in descending order.\nAnswer: 5, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 times -204564?\nAnswer: -409128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 22 = -6. Suppose 2*v - 26 = o + 2*o, -5*v = i*o + 50. Which is greater: o or -11?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 + 4 + (14 - 14 + 24)*(6 - 3 - 1))*(-5 + 4*q + 3*q - 9*q).\nAnswer: -102*q - 255","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13517.13 + -13517. Let t = -11 + 9. Let a = -2.5 - t. What is the fourth biggest value in -1\/5, h, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1 + -1945?\nAnswer: -1946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-24))\/((35\/12)\/7)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**3 - 6*g**2 - g - 1. Let n be q(-6). Let d = -4 + 0. Sort d, n, -1 in increasing order.\nAnswer: d, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*z + 5*z - z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11928, 23764, 35412, 46782, 57784, 68328, 78324?\nAnswer: 87682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3857688?\nAnswer: 2, 3, 131, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00949448534 rounded to five dps?\nAnswer: -0.00949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.276 to two decimal places.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7692802789?\nAnswer: 7, 397, 2768191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/5  (b) -4  (c) -2  (d) -2\/9  (e) -665  (f) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -67*a + 67*a - 20*a**3.\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.0805 - 33.9195. Which is greater: o or -47?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2737.8302 - 2.7302. Round q to the nearest ten.\nAnswer: 2740","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 439*d - 3850. What are the prime factors of h(51)?\nAnswer: 18539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2054660*c**4 + 384*c + 1313?\nAnswer: 24655920*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes before 12:02 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(300)*4 + (sqrt(3) - sqrt(432)))**2.\nAnswer: 2523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a millisecond in microseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 93 = -57. Let w(z) = -2*z**3 + 18*z**2 - 2*z + 14. Let t be w(v). Which is the closest to -5\/4?  (a) -3  (b) t  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 - (-10 + 7) - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/17, -5, -2, 2, -1\/3, -82 in descending order.\nAnswer: 2, 1\/17, -1\/3, -2, -5, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (s + 4*s - 4*s)*(-3*s + 4*s + 2*s)*(18*s + 49*s - 9*s) in the form i + p*s**3 + c*s + k*s**2 and give p.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 16, 3, -10, -23, -36?\n\"Answer: -13*x + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (115\/(-92)*(-16)\/330)\/((-34)\/153)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 4*t, -3*b + 0 - 20 = 4*t. Suppose 8*l = l - 21. Put b, l, 3 in decreasing order.\nAnswer: 3, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that -u**5 + 237*u**4 + 194571*u**3 - 1173713*u**2 + 1762770*u - 783864 = 0.\nAnswer: -342, 1, 4, 573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9.3 + -3903082313.\nAnswer: -3903082322.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 22766?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 514*p + 856*p - p + 635*p + 17*p in the form x + g*p and give g.\nAnswer: 2021","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000778391596 to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 10263186?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -50 at most as big as -1854\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1750599 and 1242?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o - 2. Let a(b) = 5*b + 11. Let g be a(-2). Let n(u) = 41*u**2 + 5*u + 33. Let s(z) = g*n(z) - 6*j(z). Find the first derivative of s(q) wrt q.\nAnswer: 82*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1258 and 187?\nAnswer: 13838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -243, -244, -247, -252?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*c**2 - 5*c**2 + 21*c**2.\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 3*w**3 + 15*w**2 + 9*w + 3. Calculate y(-5).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49305 is divided by 4393.\nAnswer: 982","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -187*t**5 - 4470*t**4 + 59337*t**3 + 1478736*t**2 - 142884*t = 0 for t.\nAnswer: -21, 0, 18\/187, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-3))\/(-26 + 91840\/3528)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 1439 - 1527 = 0. Suppose -2*q = 3*t - n, -5*q = -10*q - 4*t + 3725. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + 7 + (-2 - 4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 100 less than -22.69?\nAnswer: -122.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 6959881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -34 + 19. Let r = 26 + i. Let q = -6 + r. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1010100111 (base 2) in base 4?\nAnswer: 22213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 124, -37, 32, 1 in decreasing order.\nAnswer: 124, 32, 1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 4 from 999692665382.6.\nAnswer: 999692665378.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence npod when four letters picked without replacement from uoodpopnounoopoup.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1202 and 8678.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzciiii. Give prob of sequence iz.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 72, 171, 320, 543, 864, 1307, 1896?\n\"Answer: 4*i**3 + i**2 + 68*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1219 - -1434. Calculate the remainder when u is divided by 107.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) 0.5  (b) -0.05  (c) 2  (d) 218\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes before 12:23 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 2 q, and 1 f when four letters picked without replacement from {z: 2, o: 3, f: 2, h: 5, q: 3}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -51 - -45. Let o(t) = -7*t**2 - 6*t - 3. Let g(l) = -l**2 - l. Let w(q) = y*g(q) + o(q). Let c(u) = u**2 + 1 + 6 - 6. Give 6*c(m) + 2*w(m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*k = -20*k + 38*k - 522 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 100000 (base 2) to base 5\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that 22\/15*o**3 - 4\/3*o - 2\/15*o**5 + 2\/5*o**4 + 0 - 2\/5*o**2 = 0.\nAnswer: -2, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 102 - 4?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -0*o - 5*o + 7, 70 = 5*q - 5*o. Calculate the remainder when q is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4720812?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add together 11262 and -0.7896071409.\nAnswer: 11261.2103928591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -10 + 177*y + y**3 - 6 - 174*y - 17*y**2. Let s be b(17). Calculate the greatest common divisor of 63 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 5*b + 4 = -d, -d - 2*b + 11 = 0. Let h(i) = 4*i - 13. Determine h(d).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1859711616 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 627 is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 35, 69, 169, 359, 663?\nAnswer: 1105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**3 - 11*m**2 + 11*m + 7. Let o = -113 - -41. Let z = 60 + o. What is the remainder when 169 is divided by b(z)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -4723, -4739, -4755, -4771?\n\"Answer: -16*d - 4707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 4*y**3 + 6*y**2 + 3*y. Suppose 19 = 4*p + 3*c + 32, -2*c - 4 = 2*p. Let t(q) = 6*q**3 + 9*q**2 + 5*q. What is p*j(l) + 5*t(l)?\nAnswer: 2*l**3 + 3*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 371847 is divided by 3443.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = 27 - 39. Find the second derivative of 0*t + 4*t - 2*t**2 + z*t**2 + 2*t wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r - 27 = -5*a + 8*a, 2*r = 2*a + 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -d0 + -208?\nAnswer: -2d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 3*m + 6. Let l = 19 + -13. List the prime factors of a(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 33*l*m**2*r**2 - 4569*l*m**2 + l*m*r**2 + 2705*l*m*r + l*r - 2*m*r**2 - m wrt m?\nAnswer: 66*l*r**2 - 9138*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**3 - p**2 - p + 1. Let m(a) = -4*a**3 + 5*a**2 + 6*a - 6. Let h(n) = -m(n) - 3*w(n). Let o be h(3). Let z = 30 - 15. Solve o*u + 0*u = z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.0289 <= -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-629)\/(-1*2 + 11\/11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the second derivative of -j**5\/50 + 4*j**4\/15 - 16*j**3\/15 - j. Determine l, given that k(l) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**3 - 48*v**2 + 558*v + 102. Calculate y(27).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/9, 59\/3, -0.18 in descending order.\nAnswer: 59\/3, 2\/9, -0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p = j + 13, -135*p + 128*p = 3*j - 71 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -2*j**3 - 2*j**2 + 8*j + 4. Let a(b) = -b**3 + b**2 + b + 1. Let m(f) = 4*a(f) - w(f). Factor m(c).\nAnswer: -2*c*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 4862*y - 6103. Let d(k) = 4860*k - 6105. Let f(l) = 4*d(l) - 5*o(l). Differentiate f(i) wrt i.\nAnswer: -4870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = -0*u - 52. Calculate the remainder when 37 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60996 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -14*x**2 - x. Let y(d) = 6*d**2 - 3*d - 6. Let c(t) = 7*t**2 - 4*t - 8. Let u(f) = 3*c(f) - 4*y(f). Give u(r(v)).\nAnswer: -588*v**4 - 84*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (4 + -6 - -5200)\/2. Suppose 0 = -9*u + f + 551. Is 25 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 55 = -d + 58, -2*j = -4*d + 12. Let x(h) = 32*h - 3. Let r(o) = 16*o - 2. Calculate d*x(f) - 5*r(f).\nAnswer: 16*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.40039 + -28.1\nAnswer: -27.69961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-32)\/(t*t*t**(-5)*t))**(19\/2))**(-19\/4) assuming t is positive.\nAnswer: t**(5415\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (5\/2)\/(2\/4). Suppose -w*s + 42 = 7. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the second derivative of -o**4\/6 - o**3\/6 - 3*o**2\/2 + 5*o + 8. What is y(-3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -53*h**2 - 1464*h - 6877. Determine t(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 111\/10 and -37\/3407.\nAnswer: 34070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gvoggggznnn. Give prob of sequence zvnn.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -2575709 (base 13) to base 12\nAnswer: -3b1380b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -22324 + 1?\nAnswer: -22323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/62 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 281718683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 214466138 or 214466140?\nAnswer: 214466140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3576870 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + -79 + (16 + 24 - 13)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-936)\/160 - (-702)\/(-936))\/((-1)\/(-15))?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*q = 8*q + 208. Is 19 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -103207 + 4*m**2 + 103207 - 2*m**2 + 0*m**2 - 4*m to n + j*m + i*m**2 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, a: 9}. What is prob of sequence ahah?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 486529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 65 = 9*v. Let n = v + -15. Let d be (-1 + 1)*(n + 3). Solve d = 2*f - 2*u, -1 = -3*f - 3*u - 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 26 = w + 4, -2*w + 5*y = -24. Solve 2*h + 8 = -w*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = 5*d + 6, -d + 2*d + 4*t + 14 = 0. Let v = 3 + -4. Let k = d + v. Calculate the highest common divisor of 5 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -b**3 - 24*b**2 - 75*b wrt b?\nAnswer: -6*b - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 2*x. Let j(u) be the second derivative of -u**6\/72 + 7*u**3\/3 + 8*u. Let q(y) be the second derivative of j(y). What is g(q(o))?\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 81*n - 318. Let h be t(8). Let l = h + -12869\/39. Are l and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 16420887?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 31\/5 of a hour?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 6 = -l, 2*l - 9 = -4*f + 19. Let w(u) = u**3 + u**2 + u + 2. Let p be w(0). Solve p*h + 2*v = -h + 5, 3*h = -l*v + 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = h - 4*f + 5, -4*h + 558*f - 562*f = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**3 + s**2 - 9*s + 6. Calculate y(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.43203 to two dps.\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3.1 + -5.1. What is the closest to 0.1 in -1\/2, d, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 352 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -264378620 to the nearest one hundred thousand.\nAnswer: -264400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5083441?\nAnswer: 11, 462131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 15*j - 18*j + 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -42 + (-11 + 15 - 12) + -11\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6258685 tonnes to grams.\nAnswer: 625868.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 4, v: 7, f: 5, y: 2}. What is prob of picking 2 y?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1 - 1\/(-3))*141. Let a = p - -136. What is the highest common divisor of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2\/199 + -3986\/597. What is the common denominator of b and 38\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 25*j**3 + j**2 - 4*j + 3. Let t be d(1). Suppose 4*c - t = y + 4*y, -3*c + 2*y = -24. Calculate the remainder when 19 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 6*g - 1081 = 11*g, z = -4*g + 349. Calculate the remainder when z is divided by 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - (-1 + 4)) + -12 - (16 - 21).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 15*(-15)\/(-150)*(-8)\/(-3). Factor 3*x**4 + 12*x**4 + 32*x**2 + 16*x**2 - 4*x**5 + 11*x**d - 64*x**3 + 2*x**4.\nAnswer: -4*x**2*(x - 3)*(x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the second derivative of 3*v**3 + 21*v**2 + 2*v + 28. What is the units digit of h(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 129 and 30.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 48 = -2*l. Does 3 divide l\/32*1*-26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 2*o**2 + o. Let b be q(-2). Suppose -b - 4 = -5*s. Let l = -449 + 451. Solve s*x - 5*a + 0*a = 20, l*x + 2*a = 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -156 divided by 78\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -42 + 115 - 3*o - o**3 - 33 + 7 in the form n*o**2 + l + m*o**3 + a*o and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-9)\/(-4))\/((-84)\/(-224)). Let q(h) = 8 - 4 + b - 4 - h. What is q(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 2*m**3 + 2*m**2 - 2*m - 28. Let f(j) = j**3 + j**2 - j - 14. Let o(h) = 5*f(h) - 2*l(h). What is o(0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**2. Let v(q) = -4236*q**2 + 8454*q**2 - 4292*q**2 - 3*q + q. Determine v(o(a)).\nAnswer: -74*a**4 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 3007*m. Let z(p) = -21 + 2*p + 14 + 5 + 2. Determine c(z(d)).\nAnswer: 6014*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 16 = h. Solve h*l + 6 = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -2*u - 15. Let r be f(-11). Suppose t - r = -3*x, t - 35 = -4*t - 4*x. Factor 0*y + t*y - 3*y**2 - y - 3.\nAnswer: -3*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48857381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppppppppp. Give prob of picking 2 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 68372 + -34042. Round f to the nearest one hundred.\nAnswer: 34300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*i + 44 = 60. Sort -5, i, 0 in increasing order.\nAnswer: -5, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 184068 to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 750\/675*63\/5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3*(-4)\/(-300))\/(((-78)\/(-12))\/13)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 307428?\nAnswer: 2, 3, 11, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the first derivative of 19*v**5\/330 + v**4\/66 + 17*v**2\/2 + 2*v - 131. Let s(i) be the second derivative of r(i). Factor s(x).\nAnswer: 2*x*(19*x + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -13 - -14. Which is the nearest to 0.1?  (a) -1  (b) t  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -23\/25?  (a) 4  (b) -0.1  (c) -7  (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/(-15))\/((-17)\/((-2720)\/1392))\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (77 - 31) + 32 + -46.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 217\/(-217) + (-2)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 314 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3097, 6181, 9251, 12301, 15325, 18317?\nAnswer: 21271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 3*u**2 - 40482*u + 67301952 = 0.\nAnswer: 1942, 11552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3996*z = -1773*z - 166725 for z.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 48\/145 - -2\/29. Let m(y) = -2*y - 13. Let f be m(-7). Let n be ((-2)\/7)\/(108\/(-84)). Put i, n, f in ascending order.\nAnswer: n, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -15*h**2 + 151893*h - 30378.\nAnswer: -3*(h - 10126)*(5*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/(-28)*(308\/(-616))\/(0 + -1).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*g**2 - g**4 + 225*g**3 + 222*g**3 - 449*g**3.\nAnswer: -g**2*(g - 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*q - 598 + 1129 = 603 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = -5*v + 133, -2*v - 4*r = -6*r - 54. Let c = -18 + v. Solve -4*b + c = 0, -3*n - 2*b = n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -82579, -82316, -82053, -81790?\n\"Answer: 263*t - 82842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 806514, 806369, 806224?\nAnswer: 806079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 5*w + 10 = -f, 3*f = -w + 10. Suppose f = 2*j - 23. Suppose m - 2*m = -j. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/3, 0.4, 1.393, 11?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = -4*z + 297, -z + m + 218 = 2*z. Solve -z = 6*x - 85 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, z: 6, k: 1, f: 1, i: 1, b: 1}. Give prob of picking 1 f and 1 u.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 15171 divided by 6?\nAnswer: 5057\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 28072 - 27800. Calculate the smallest common multiple of 260 and s.\nAnswer: 17680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2 and -11.797.\nAnswer: -23.594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 462*n + 201*n + 200*n + 227*n + 197*n - 1288*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.070779147 - -0.07079. What is m rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 18) + (62 - -50) + -54.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -21 - -15 - (0 + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the second derivative of p**5\/25 - 2*p**4\/15 - 26*p**3\/15 - 4*p**2 - 99*p. Find l, given that j(l) = 0.\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 111619 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 639920185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 9897*v**3*z - 10*v**3 + 40*v**2 wrt z?\nAnswer: 9897*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 252*w - 2250 - 18. Solve -5*s + 21 = 2*b, -14*s + 18 = b - w*s for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18\/(-153))\/((144\/(-24) - 0) + 180\/34)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 2*c - 5. Suppose c*k = 53 + 52. Let d = 7 + 11. Calculate the remainder when k is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.24499717 to 4 dps.\nAnswer: -0.245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 936*d - 3*d**4 - 36 + 2*d**4 - 13*d**2 - 996*d + 10*d**3 = 0. Calculate d.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.51*-78.\nAnswer: -39.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 9882*p**2 - 2562*p - 427. Let b(f) = 5*f**2 - 6*f - 1. Calculate -854*b(z) + 2*g(z).\nAnswer: 15494*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -13.01 + 0.0298\nAnswer: -12.9802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the first derivative of 0*t + 1\/3*t**3 + 2 - 1\/2*t**2. Is 15 a factor of y(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8.7 - 8.5. What is the nearest to k in 0, 0.2, 0.7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -1364*h. Let k(w) = 230*w - 8. Let g(r) = -259*r + 9. Let j(z) = -8*g(z) - 9*k(z). Calculate y(j(b)).\nAnswer: -2728*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 3*w = 16, 4*w - 78 = -3*s + w. What is the remainder when s is divided by (-38)\/(-2) + 0 + -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 26 and 112?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 66 a factor of 966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 3612338, 3612340, 3612342, 3612344, 3612346?\n\"Answer: 2*t + 3612336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(-7)*((-752)\/32)\/47*1442\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (-4*1*sqrt(96) + ((sqrt(96) + 2*sqrt(96) + sqrt(96))*4 - sqrt(96)))\/(sqrt(6)\/sqrt(3)*-5 + (sqrt(16)\/sqrt(2))\/sqrt(4)))**2.\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u - 3*u + 240 = -3*h, 5*h - 4*u + 398 = 0. Let w = 69 + h. Let b(d) = d**2 + 8*d - 12. Give b(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 87 = -3*d + 2*u, -d = d - 2*u + 60. Let y(w) = 137*w + 544. Let t be y(-4). Sort 1, t, d, -2 in ascending order.\nAnswer: d, t, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 14556460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 624992.6 kilometers?\nAnswer: 62499260000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 1952720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 179 = -67. Let n = w - 0. Suppose -12 - n = -2*x. Calculate the remainder when x is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9*(36\/15 - 3)*54\/((-1944)\/180)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -437 + 69 = 90*d - 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1299539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7 + 7. Suppose -u = -p, r = -4*u - 0*u - 2*p - 24. Let q(j) be the second derivative of -j**3\/2 - j**2\/2 + 6*j. Determine q(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/71 in -4, -1\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*l - 3*l - 5. Which is smaller: 1\/13 or l?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -433 divided by 681847?\nAnswer: -433\/681847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 - 4. Suppose o*n + 4*n - 36 = 0. Let v(h) = h + 6. What is the lowest common multiple of n and v(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 413*k - 9. Let w(o) = -367*o + 8. Let u(l) = -8*b(l) - 9*w(l). Let v(c) = -9*c - 5*c - 3*c. What is v(u(a))?\nAnswer: 17*a","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Solve 9*g - 8 = 7*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 2*g - 1. Let z be b(1). Let p = z + 7. Let l be p\/16*0\/(-1). Sort -5, l, -4 in descending order.\nAnswer: l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -0.2, -1\/6, -0.034254 in decreasing order.\nAnswer: -0.034254, -1\/6, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 252\/(-135) - (-4)\/(-30)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 19167048 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.3 - 0.9. Let r = -0.4 + u. Which is greater: r or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -3*(-3)\/((-540)\/(-505)) and 2\/(-10) + (-85519)\/(-31920)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b - 16 = 83*g - 81*g, 11*g + 56 = -3*b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 172 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -309314.6 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3.9 + -1.1. Let q = 0.55 - 0.05. What is the closest to 0 in t, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 - 4. Suppose -5*h - 7 = 4*c - k*c, 28 = -4*c + 4*h. Let t be c\/(-3) + (-9)\/27. Solve -t*b - 3*b = 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-102)\/(-5) - (-3)\/5. Suppose -2*f - 2001 = -5*f. Suppose 3*k + o - f = -k, -3*k - 3*o = -489. What is the greatest common divisor of k and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 28 - 50 = 0. Suppose -8*s**2 - 6*s**2 - r*s**4 + 30*s**3 + 11*s**5 - 3*s**5 + 2*s = 0. Calculate s.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1\/266 - 75\/266. Let h = 0.1 + -0.1. Let z = -2 - h. Which is the closest to 0?  (a) s  (b) z  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m = -24, -l - 4*m = -l + 4*l + 40 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 285202.770868 - 55.\nAnswer: 285147.770868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -234172375*l**3 + 772879017.\nAnswer: -702517125*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 10 - 214366?\nAnswer: -214356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(-2\/5))**32*(o\/(o\/o**7))\/(o\/(o*o\/(o**(-1\/3)*o))*o*o) assuming o is positive.\nAnswer: o**(368\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18 - (0 - 0) - ((-194 - -289) + -115 + 7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the third derivative of -l**5\/30 + 5*l**4\/12 - 2*l**3 - 5*l**2 + l. Factor c(z).\nAnswer: -2*(z - 3)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**2 + 5*w - 11. Let b be q(-7). Is 99 - 4\/(12\/b) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((w*w**(-1))\/w)**(-41))**(-5\/12))**(-33) assuming w is positive.\nAnswer: w**(2255\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*2*sqrt(114))\/(3*sqrt(726)))**2.\nAnswer: 76\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 990\/132*4\/(96\/4)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3c (base 13) in base 16?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*m + 12 = 8*m. Suppose -2*n = -b + 25, 76 = n + b + 84. Which is bigger: n or m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + 0 + 1 + -177 + 301 + -210.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 + 4 - 2*o**4 + (140*o**2 + 1056 - 1056)*(13*o + 0*o - 4*o)*(0*o - 4*o + 6*o) to w + t*o**2 + m*o + l*o**4 + q*o**3 and give l.\nAnswer: 2518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8 in -2\/3, -0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, 0, -5, -525395?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1 + (-2)\/(-6))*-3. Find k such that 3 + 2*k**j + 6*k - 4*k - 1 + 2*k = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/144200 and 163\/158620?\nAnswer: 1586200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2172680 (base 11) to base 6.\nAnswer: 213355304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mww when three letters picked without replacement from {y: 3, f: 1, m: 2, q: 2, w: 4, z: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the first derivative of 11 + 2*k - 3\/2*k**2. Determine h(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1 - -1)\/(2 + 0). Suppose -4*k = -2*w - 4, -2*k + w + 3 = -k. Which is bigger: m or k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + 6 + -1 + (2 - -4) + 58 + -58?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 0*v = -4*s + 24, -8 = 4*s + 5*v. Suppose -s = w + 1. Sort 5, w, -5, 2\/7 in decreasing order.\nAnswer: 5, 2\/7, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14 - -9. Let k(f) be the first derivative of 9*f**2\/2 + 24*f + 1. Let a(x) be the first derivative of x**2 + 5*x + 13. What is g*k(b) + 24*a(b)?\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = -5*p - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 + -10. Let j(l) = 0 + 0*l**2 - 4 + 2*l + 2*l**2 + 3. Let y(s) = -6*s**2 - 6*s + 3. Determine p*j(d) - 2*y(d).\nAnswer: -2*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 75931208?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((29\/((-87)\/18))\/(-4))\/(12\/280). Solve 22*k - w*k = 26 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2343?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -43 - 39 + 9 + 9 + 4*n + 36*n. Let w(r) = -3*r + 5. Give 5*j(c) + 64*w(c).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 36.40764 grams to kilograms.\nAnswer: 0.03640764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.605 rounded to 1 decimal place?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*u**3 - 485*u + u**3 + u**3.\nAnswer: -2*u**3 - 485*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -36*h**4*t - h**2*t - 66*h**2 + 33*t - 862 wrt h?\nAnswer: -144*h**3*t - 2*h*t - 132*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 3*c, 3*y + 2*c - 7*c = 42187. Let u = y - -685. Is u\/(-12)*(-5 - -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the third derivative of -11*o**6\/120 - o**3\/3 - 2*o**2. Find the first derivative of g(q) wrt q.\nAnswer: -33*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 881687*l = 881772*l - 4250 for l.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 4*b + 7. Let d(s) = 19*s + 34. Let q(z) = 2*d(z) - 11*f(z). What is the first derivative of q(g) wrt g?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31803633.\nAnswer: 3, 29, 121853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3\/4, 0, -12\/13?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a**2 + 1389*a + 36794. Let q be r(-26). Factor -69\/7*d**2 + 3*d**q + 9\/7*d**3 + 3\/7*d**5 - 96\/7*d - 36\/7.\nAnswer: 3*(d - 2)*(d + 1)**3*(d + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*b**3 + 3*b**3 - 3*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w - 74. Let j(s) = s + 73. Let f(d) = -4*j(d) - 3*x(d). Let b(t) be the first derivative of f(t). Let m(i) = 2*i + 4. Give 6*b(y) + m(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1018634 to the nearest integer?\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (4 + 55\/(-10))*(-8)\/(-12). Let r(x) = -23*x - 23. Let m be r(u). Solve -20 + m = -4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(2\/3)\/j)\/((j*(j*j**(9\/4))\/j*j)\/j*j*j) assuming j is positive.\nAnswer: j**(-67\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3119*g**2*l**2*z + g**2 + 3280*l**2 wrt z.\nAnswer: 3119*g**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*v + 548444 + 548455 - 1096899 - 5*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is (7 - 2)*((-627)\/(-11) - 1) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 28*b. Let a(s) = 104*s**2. Give w(a(m)).\nAnswer: 2912*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:17 AM and 10:41 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1337715*0.1.\nAnswer: 133771.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21 is divided by 5\/(-10)*-4 + 5 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4417 - 1.\nAnswer: -4418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v - 0 - 7. Suppose 2*y - 5*t = -43, -t = -5*y - 0*t - 73. Let k = v - y. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*c**2 - 2 + 4*c - 2*c - 2*c to the form r*c**2 + m + l*c and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -k**5 - 2*k**4 + 401*k**3 - 57080*k**2 wrt k?\nAnswer: -60*k**2 - 48*k + 2406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 209945826 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*l + 25*l - 3*i - 35675 = 0, 7113 = l - 5*i. What are the prime factors of l?\nAnswer: 2, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 398*a**2 - 6*a + 7. What are the prime factors of l(1)?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 24829 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 87 - 87 + 7463*o + 7533*o - 14089*o.\nAnswer: 907*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -2*v + 1. Suppose -3*d - 22 = k, -6 = 2*d - 2*k + 6. Let x be u(d). Suppose 9*l + 12 = x*l. Solve 0 = 3*c + l*t - 15, -3*c - t + 18 = 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-12)\/(-14))\/(381\/(-1752219)). Which is the third biggest value?  (a) l  (b) -1\/5  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 626 = 5*u + 201. Suppose -4*b + 59 + u = 0. Let y = 104 - b. List the prime factors of y.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 0 = 4. Let o = 10 - w. Let a(d) = -d**3 + 6*d**2 + d - 5. Let z be a(o). Solve -g + z = -3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1197244 - 0.555\nAnswer: 1197243.445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2.2 + -0.8. What is the nearest to x in -1\/9, -5, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -789*f - 40 = -799*f. Solve -f*h = 4*c - 8, -5*h + 0 = 3*c - 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the first derivative of -a**5\/5 - 35*a**4\/2 - 384*a**3 + 1296*a**2 - 1809. Factor u(g).\nAnswer: -g*(g - 2)*(g + 36)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 213 = -3*c, -2*c - 4*t - 61 + 211 = 0. Let a = -541381\/10 - -54069. Let n = a + c. Which is bigger: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-5)\/((o*o**(-6))\/o))\/((o*o\/(o\/(o*o**(-5))))\/o**(-1\/9)) assuming o is positive.\nAnswer: o**(35\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3309018 nanometers in meters?\nAnswer: 0.0000000003309018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 plus 177850926082?\nAnswer: 177850926083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z + 46 - 21 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1.4134219 or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 32971507867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8 - -10. Solve 0 = -3*s - 1 - y for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the third derivative of -v**5\/60 + 7*v**2. Let p(d) = -33*d**2. Calculate z(p(x)).\nAnswer: -1089*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 33881116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 393364 and 519149.\nAnswer: 2287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 94\/10 + (-10)\/25. Is 3972\/4*3\/s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j*j**8*j**0*(((j\/j**(-1\/5))\/j)\/j*j*j)**(24\/7) assuming j is positive.\nAnswer: j**(459\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.018857 rounded to four dps?\nAnswer: -0.0189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 32*h + 86. What is the remainder when j(-2) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 g when two letters picked without replacement from iisgsggiigiisi.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.04 - 0.07. Let k = -0.117 - -0.14. Let r = -5.023 + k. Which is the fourth smallest value?  (a) 2\/5  (b) r  (c) m  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 234325*c + 214527?\nAnswer: 234325","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26370.\nAnswer: 2, 3, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1367 in 0.3, 0, 4.8?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 - (-5)\/((-5)\/6). Let x = 10 + h. Let y(c) = -2*c + 2. Give y(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 divided by -29.\nAnswer: -7\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -7*t**2 - 9*t + 10. Let y(v) = 13*v**2 + 17*v - 19. Give 11*a(l) + 6*y(l).\nAnswer: l**2 + 3*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r + 3. Let w be u(7). Let c = w + 4. Suppose c = 2*n - 5*a - 21, -15 = -n + 3*a - 3. Solve -5*f + 5*o = -0 - 5, -3*o = n*f + 9 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 23 + -10. Solve 5*v - 3*l + 12 = 0, 7*l - 3*l = -3*v - y for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 315718 divided by 26\nAnswer: 12143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 + 180?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.0787 + -59.2787. Round i to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 4\/75 of a millennium?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 11556494009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1 - -1 - -78)*164\/205. Which is greater: u or 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4321 - 17279\/4. Which is the closest to -1?  (a) y  (b) -4  (c) -52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -29, -175, -573, -1349, -2629, -4539, -7205?\n\"Answer: -21*n**3 + n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1795869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -838*v + 1720*v - 38808 for v.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 9.043*-0.009\nAnswer: -0.081387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-580)\/(-348)*(-18)\/(-75). Suppose -c*w - 2\/15*w**5 - 4\/3*w**2 + 0 - 8\/5*w**3 - 4\/5*w**4 = 0. Calculate w.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 84 divided by 91.\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes before 4:13 PM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/4 + (-1)\/(4\/32)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4322*c**2 - 2388*c + 2388*c.\nAnswer: 4322*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9670 + 9689. Solve 1 - x = 6*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r + 26. Let c be z(7). Calculate the greatest common divisor of c and 363.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -403818, -403084, -402360, -401652, -400966?\nAnswer: -400308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -6, 4.\nAnswer: -6, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -5*s**4 + 105*s**3 - 670*s**2 + 1320*s = 0.\nAnswer: 0, 4, 6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.12 + 7.5?\nAnswer: 7.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1085 - 1084.980012. Let u = d + -0.02. Round u to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -8*q. Let o(h) be the third derivative of h**6\/720 - h**4\/3 - 28*h**2. Let c(w) be the second derivative of o(w). Determine c(t(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8911 is divided by 37?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 11*o + 60. List the prime factors of s(31).\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1317 and 290179.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 19 - 31. Let a be ((-15)\/(-6))\/((-2)\/o). Let j be 0 + ((-36)\/a - -2). Is -0.2 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1183 + 1182. Let u(w) = -w + 8. Let s be u(4). Let f be 1 + 1\/(3\/(-15)). Which is the fourth biggest value?  (a) s  (b) f  (c) 0.2  (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -631.623 + 632. Let j = h + 3.623. Sort -19, j, -0.2, 0.3.\nAnswer: -19, -0.2, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1824\/171*(-60)\/16. Is -95 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -109.04424993 + -366783.38063007. Let n = t - -367153.42487751. Let m = n - 261. What is m rounded to seven decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 18095 - 3743. Is v a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.0976 - -0.3976. Which is greater: x or 0.03985?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**2 + j + 1. Let b(n) = -42*n**2 + n - 9. Let y(g) = -b(g) - 2*c(g). Let i(v) = -44*v + 90. Let l be i(2). What is the hundreds digit of y(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(17))*6 + -5 + sqrt(425) + ((-2*2*sqrt(85) + sqrt(85))\/(sqrt(5) - (sqrt(5) - (sqrt(10)\/(sqrt(8)\/sqrt(4)) + sqrt(5) - sqrt(5)))))**2.\nAnswer: 11*sqrt(17) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1296 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-17)\/272*24)\/(-19 - (1 + -2))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 + 0 = 2*j - 3*v, -26 = -2*j - 3*v. Let m be (10\/8)\/(14\/(-336)). Let i = 104 + m. Calculate the remainder when i is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*s + 2558 = 12*s. Let l = -10307\/8 + s. Is l less than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 17, 3, 0.3, 1, 0.5, -48 in increasing order.\nAnswer: -48, 0.3, 0.5, 1, 3, 7, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 - 0. Let o = w - 3. Solve 2*q + o*t = 3*t + 4, -t + 2 = q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41*n**2 + 2*n - 16*n**2 + 13*n**2 - 3 - 27*n**2.\nAnswer: -71*n**2 + 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/9 and -1 + 1 - (-804)\/(-360).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1368250?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -6*f**2 + 2*f + 5. Let y be o(-6). Let p = -123 - y. Let r = p - 3. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-1)\/o)\/o*o**(-2\/17)*(o\/(o\/(o\/o**(-4))))\/o*o**(2\/21)\/o*(o**1\/(o\/(o**(1\/4)\/o)))\/(o**(-2\/5)*o)**(-26\/3) assuming o is positive.\nAnswer: o**(31613\/7140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -36, -40, -48, -60?\n\"Answer: -2*w**2 + 2*w - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -4920 (base 10) to base 14\nAnswer: -1b16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 44108731 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1137*i**3 - 361*i**3 - 394*i**3 - 384*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/92 and 97\/32.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -62\/941227 and -10\/903?\nAnswer: 2823681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 498118 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2400679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 19812 and 28956.\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8 - -4. Let k = 0 + o. Let l = -3 - -2. What is the second biggest value in l, k, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c = -4*f - 6, -4*c + 176 = -1014*f + 1047*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/b**3)**(-6)*(b\/((b**(6\/7)*b)\/b*b))\/(b\/((b\/((((b*b**(-3))\/b)\/b)\/b))\/b)) assuming b is positive.\nAnswer: b**(106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g + 14 = 5*j, 4*j = 26*g - 21*g + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3572412390 a multiple of 3555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 - 1. Let l = -3 - t. Which is the third smallest value?  (a) 3  (b) -5  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18 + -14 + (-4 - (-1 - (-2 + -6))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-1\/12)*m*m*m)**(-6)*(m\/m**(1\/4))**(-7) assuming m is positive.\nAnswer: m**(-91\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 271600 and 53172?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 23 + 10. What is the highest common divisor of 11 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 370549761?\nAnswer: 3, 19, 6500873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8567 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -100 times -465?\nAnswer: 46500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(475) + -2)*2 + -4)**2 - (-3*(2 + sqrt(76))*-5)**2.\nAnswer: -16036 - 1960*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + -1 + sqrt(612))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6642975883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 45507257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -3*h. Let y be (1 - 0) + (1 - -1). Let l(f) = -3*f - f + 0*f + y*f. What is l(i(t))?\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 239 a factor of 3770225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = t + 4*j, -4*j = -5*t + j + 60. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3656624 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 10*l - 33 = 0. Sort -3, -1, l, -0.3.\nAnswer: -3, -1, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3 - 52\/24)*18\/(-50)*-5\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 39*p. Let u be z(2). Suppose -u = -3*d + d. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -1. Let n(f) = -3*f + 10. Let r(d) = -n(d) - 6*q(d). Let o be r(3). Find the second derivative of 6*s**5 - s**o - 3*s**5 - 3*s wrt s.\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.09 - -0.39. Let x = -4450\/7 - -20346\/35. Let t = x + 54. Which is the biggest value?  (a) t  (b) -1  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1639729493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 + 10 - 3)*(4*t - 2*t - 4*t + 3).\nAnswer: -30*t + 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -4*n**2 + 13. Let j(f) = 6*f**2 + 3*f - 14. Calculate -3*j(c) - 4*z(c).\nAnswer: -2*c**2 - 9*c - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 6 = o, o + 2 - 6 = -2*i. Suppose -2*j - i*u = 22, -2*j + 9*u - 1 = 4*u. Let l be (-2)\/3 + j\/(-3). Solve -3*s + 12 = -5*r - 2, l*s + 2*r = 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s + 2*s**2 - 4*s**2 - 6*s)*(s - 17 + 24 - 3*s).\nAnswer: 4*s**3 - 4*s**2 - 35*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*l - 3*l - 117. Suppose 0 = 5*x - l - 2. Suppose -5*k + 48 = x*k. Calculate the least common multiple of k and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 24*r - 74*r + 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times -20163110\nAnswer: -2016311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 23 - 12. Suppose -5*r + 61 = f. What is the smallest common multiple of r and 14\/8 - 2\/(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(175) - (sqrt(175) + 3))**2 + -5 + (sqrt(175) + -1 + -2)**2 + 1.\nAnswer: -30*sqrt(7) + 186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**3 - 4*i**2 - 11*i - 3. Let b be c(6). Solve 0 = 5*k + 2*g + 1, -4*k = g - b*g - 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1669434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -13023 - 54?\nAnswer: -13121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.2 + 0. Let l = 3.3 + -2.3. Let q = 0.9 - 5.9. What is the closest to -1 in l, z, q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 14 = -1. Suppose c = 2*q - 53, -5*q - k*c + 104 = -45. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9512431.\nAnswer: 229, 41539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 11 and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 + -4e0639?\nAnswer: -4e0638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1801 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 1166*u**3 - 2*u**2 - 20*u + 51. Let z(g) = 6995*g**3 - 13*g**2 - 119*g + 316. Let a(h) = 13*j(h) - 2*z(h). Find the second derivative of a(t) wrt t.\nAnswer: 7008*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(88)\/((sqrt(96)*2)\/sqrt(12)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**3 + 6*l**2 - 13*l + 21. Let s = 157 + -150. Does 42 divide b(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-5)\/20 - (78 + -78). What is the fifth smallest value in a, -6, 0.3, 0, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 345\/(-575)*10\/(-4)*-82.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (10\/(-11))\/5 + 84\/(-22). Let g(w) = -8*w - 8. Is g(d) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2721 = 109*y + 541 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -10*-5*12\/(-150)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6683\/2829 - 22\/759?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the second derivative of -c**5\/5 + 14*c. What is y in b(y) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(495)\/(sqrt(36)\/sqrt(4)*3))\/((sqrt(1584) - -2*sqrt(1584))*-3).\nAnswer: -sqrt(5)\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2402214 (base 5) to base 9.\nAnswer: 66384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 104370 and 13632.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000014619293275 rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 42.14401 kilograms to grams.\nAnswer: 42144.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -22 + 14. Let w be (6\/15)\/(m\/(-5)). Sort 1\/3, w, 3\/8.\nAnswer: w, 1\/3, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:02 AM and 4:20 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.14?  (a) 0.12  (b) -31\/3  (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1424699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 2*n - 2*w = -13, 4*n + 13 = 5*w. Suppose -n*g + 49 = -29. Suppose g = 5*o + 6. Solve -z + o*z = 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -127 + 62. Let b = 119 + g. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -53910 - -53854. Let r be (0 - 3)\/(3\/58). Is o less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 18 = -u, 0 = -4*u - u - 15. What are the prime factors of ((-171)\/i + -4)*1?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 15 - 3 = -4*q, -4*z + 4*q + 60 = 0. Suppose 0 = -6*t + 367 + 17. What is the greatest common divisor of z and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13 - (16 - (18 + -9))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 144 and 44.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10*h**4 + 5*h**3 - 74*h**2 wrt h?\nAnswer: 240*h + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000384676165 to five decimal places.\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 171 and 13577229?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/8 + 6\/4. Suppose 0 = -5*h + 5, w*u - 5 = -4*h + h. What is the least common multiple of u and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, b: 3, s: 6, g: 2, r: 3}. Give prob of sequence mg.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u**3 + 7*u**2 + 4*u - 8. Let o be a(-6). Suppose -144 = -o*y - 0*y. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**2\/9 - 16640*z\/9 + 83150\/9.\nAnswer: 2*(z - 8315)*(z - 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x = x - 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1609058 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*f - 41*f - 66 = 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.027*-2500.\nAnswer: 67.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbooifbiois. What is prob of picking 3 i?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.06 - 0.51. Let l = m + -22.43. Let j = -6.1 + 6. Is j equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.077938352 rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4521358 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 4111*x + 20617. Give q(-5).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 4*i - 1. Let z(c) = 7*c + 15. Let r(l) = 4*t(l) - 2*z(l). Give r(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 60*a + 59*a + 25 - 130*a as x*a + o and give o.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5238 and 174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 20975241, 20975236, 20975231, 20975226?\n\"Answer: -5*q + 20975246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 10, y: 7, n: 1, s: 1}. What is prob of sequence eny?\nAnswer: 35\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -96 (base 12) in base 6?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 25\/21 - 6\/7. Let w be (1\/3)\/(-1)*3. Let v be w\/3 + (2 - 1). Which is the second biggest value?  (a) v  (b) r  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.61 - 4.61. Let i = 3.9999816 + t. Round i to six dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*6*(sqrt(156)*-2 + sqrt(156))*-2)\/(sqrt(768) + sqrt(768) + sqrt(768)*-2 + sqrt(768) + sqrt(768) + sqrt(768) - sqrt(132)\/(sqrt(33)\/sqrt(3))).\nAnswer: -48*sqrt(13)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 20 - 15. Let z = -9.6 + 1.6. Let d = z + 7. Put -3, a, d in increasing order.\nAnswer: -3, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(1\/3)\/y**(-2\/3))\/(y**1\/y)**20 assuming y is positive.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (1*4\/(-2))\/(8\/2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -33864*d**3 - 1209*d + 9 wrt d?\nAnswer: -203184*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -322, 4\/3, 4, -34.\nAnswer: -322, -34, 4\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -2 + t + 1 + 2*t - 6. Let d(s) = 2*s - 1. Let x(l) = 3*l + 2. Let o(i) = -2*d(i) + x(i). Give -4*k(c) - 7*o(c).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.00487  (b) -0.5  (c) -67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39854?\nAnswer: 2, 19927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0 + 2 - 0 - 1. Let o(q) = 14*q + 1. Let u be o(f). Suppose 3*y = u, 4*x + 3*y + 50 = 217. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -3, 1202, -22.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2 + 3)*(-211 + 211 + 41*u)*(5*u**4 - 16*u**4 + 10*u**4).\nAnswer: 82*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2\/3*u + 9*u**5 + 0 - 9*u**4 - 3*u**3 + 7\/3*u**2 = 0. Calculate u.\nAnswer: -1\/3, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -35 + 8*z + 35 as n*z + u and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m - 15, 0*o + 56 = -3*o + 4*m. Let w(s) = s + 1. Let c = -379 + 385. Suppose c*i - 2 = 4. Let t(k) = -2*k**2 + 10*k + 14. Give i*t(u) + o*w(u).\nAnswer: -2*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 2*w = 10, -s + 98*w - 30 = 102*w. Solve -3*o = -s*h - 1, -2*h = 8*h - 3*o + 41 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 0)*((4 - 4 + 2*z)*(3*z + 2*z - 4*z) + z - z - z**2 + 3*z**2 + 3*z**2 - 5*z**2).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 236\/(-156) + 9\/(-1) + (-6342)\/(-604)\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14987*f**2 - 4645*f**2 + 1300*f - 1300*f)*(4 - 3 - 2).\nAnswer: -10342*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11 + 17. Let d(k) = -2*k**2 - 5*k + 1. Let b be d(-5). Is 2 + b*(-9)\/y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 764 + -758 + 2 + (-2 - (13 - -2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**(2\/31)*s*s**9)**33 assuming s is positive.\nAnswer: s**(11319\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1198 - 5221 = 24*c + 125*c for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**2\/6 - 92*u\/3 - 4232\/3.\nAnswer: -(u + 92)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.2 + 0. Let d be 2\/3 + (-9)\/27. Which is the third biggest value?  (a) d  (b) r  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z\/(z*z**(-1))*z*z**1*z\/z**(-5)*z*z*z**(-2\/7)*(z\/z**(-1\/4)*z\/z**(-1\/3))**(-47) assuming z is positive.\nAnswer: z**(-9299\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 33.102 to 1 decimal place.\nAnswer: 33.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*c**5 + 115*c**4 - 100*c**3 - 400*c**2 + 640*c - 240 = 0. Calculate c.\nAnswer: -2, 2\/3, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.200574 days to milliseconds.\nAnswer: 190129593.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*g = 51*g - 232 + 34 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(931) - (sqrt(931) + (sqrt(931) - (3 + sqrt(931))))) + 3 - sqrt(931))**2.\nAnswer: -84*sqrt(19) + 967","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66*k + 75*k - 449073 = 0. Suppose -36*c = 5*c - k. List the prime factors of c.\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8275*b - 12691 - 87373 = -8328*b. Calculate the greatest common divisor of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -623054 (base 8) to base 13\nAnswer: -72c25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the first derivative of -1\/20*t**5 + 30 - 5\/4*t**3 + 0*t + 7\/8*t**2 + 9\/16*t**4. Factor f(g).\nAnswer: -g*(g - 7)*(g - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -4*i**2 - 21969*i - 109852. What is y(-5)?\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 + 3 = 3*w - 2*k, -4*w = 5*k - 11. Suppose -14 = -y + 4*c, -5*c = y + w*y + 5. What is y rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (21\/(-9) + 4 + -1)*39. Let x = 89 - i. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = x + 2*o - 13, -x = -o - 20. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11 + -10. Let j be (-2 + 3)*l*-5. What is the second smallest value in 4, j, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31 (base 8) in base 12?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2334 and 46202.\nAnswer: 53917734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1043681777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 - -4. Suppose y = -4*a - 4*s + 16, 35 = 3*a - 4*s - 5. Solve -4*o - a = -6*o + 4*i, -2*o = 3*i - 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 61686648 and 30843324.\nAnswer: 61686648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -2*x**3 + 8*x**2 + x + 3. Suppose 2*h = 5*y + 988 - 170, -y - 834 = -2*h. Let r = h + -415. Determine f(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t**2 + 118934*t + 2022456 = 0 for t.\nAnswer: -17, 59484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 0*m**2 - 20*m - 1 - 5*m**2 + 2*m**2. Suppose 2*c = -5*f + 19, c + 0*f + 23 = 4*f. Let h(r) = r**2 + 7*r. Let d(p) = c*t(p) - 8*h(p). Factor d(w).\nAnswer: (w + 1)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7.32 + -13.32. Which is the third biggest value?  (a) 15  (b) 2\/5  (c) -5  (d) 1  (e) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 15\/20 - (-429)\/(-12). Let w = -29 - q. What is the smallest common multiple of 4 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 410 + 1200. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (8\/(-6))\/((-14)\/189). Let l(d) = d**2 - 16*d - 19. Let a be l(w). Let q = a - 16. Let o(j) = -12*j + 1. Give o(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -8, -23, -16, 13, 64, 137, 232?\n\"Answer: 11*p**2 - 48*p + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 m when two letters picked without replacement from nnnnnnnmnnnnnnn?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -29, 0, -4, 4 in ascending order.\nAnswer: -29, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 13.5141121 rounded to 2 dps?\nAnswer: 13.51","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 156 - -4?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a**3 + 4*a - 542. What is m(0)?\nAnswer: -542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 284 - 190 = m. Is m a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49818327 to the power of 1\/3, to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 25489\/10 + -2542. What is the common denominator of 5\/3 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -10273*s**4 - 62*s**2 - 4*s + 7.\nAnswer: -246552*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 22432859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -5*(-2)\/(-14) - -1. Does w = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 104 by 52.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -42, -55, -72, -99, -142, -207, -300, -427?\n\"Answer: -u**3 + 4*u**2 - 18*u - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 35*q**2 + 103*q + 4. Let f be w(-4). Let u = f + -150. Solve 0 = -4*t - 4*b - 40, -2*b - 2*b - 30 = u*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1*(-4 - 143\/1). Is n less than -147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 159600.\nAnswer: 2, 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 8075000 to the nearest one hundred thousand.\nAnswer: 8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -15, -39, -125, -303, -603?\n\"Answer: -5*h**3 - h**2 + 14*h - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 34\/6 - (-5)\/15. Let b(y) = 3*y - 5. What is the units digit of b(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11 - -8. Let b be m\/(-9) + (-53)\/(-3). Suppose 2*j + 2 = b. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12544 bigger than 12526?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1900)*3*3.\nAnswer: 90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4504276 and 1.\nAnswer: 4504276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1100425 (base 8) to base 15.\nAnswer: -5c6e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -88, -2790, 5, -2, -5 in ascending order.\nAnswer: -2790, -88, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/(2\/10*-1). Suppose -j*v + 8 + 72 = 0. What is the greatest common factor of 40 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -209, -2\/11, 0.4 in descending order.\nAnswer: 0.4, -2\/11, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -7, 15, 85, 227, 465?\n\"Answer: 4*q**3 - 6*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**3 - a**2 - a - 1. Let v(m) = 10*m**3 - 10*m**2 - 10*m - 10. Suppose 0 = 8*z + 9 + 71. Give z*s(p) + v(p).\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 242 is divided by 54?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together 403841.872 and 9308.\nAnswer: 413149.872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -4*d - 18. Let j be ((-48)\/(-40))\/(1\/(-5)). Let b be k(j). Solve -m + 14 = -4*x + b, 5*x + 35 = -5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z**2 - 12*z. Let i be t(8). Find the common denominator of (-50)\/i + (1 - 0) and 19\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 5*l + 6. Let s be (5 - 4 - 1)\/2. Let u be g(s). Factor -10*d**2 - 3*d**3 - 15*d - 6 - u*d**2 + 4*d**2.\nAnswer: -3*(d + 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {h: 8, c: 3, l: 2, p: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 6*i = i - 64, 0 = 4*x - 4*i - 140. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/((-10)\/((-2030)\/(-29)))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4893, 19614, 44057, 78216, 122085, 175658, 238929?\nAnswer: 311892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 119 - 224. Let c be (-7)\/s - (-2)\/(-5). Are 0 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102*l + 30*l = -1205*l - 120410 + 42864 for l.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -10 > 6.005783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2980008 or -2980005?\nAnswer: -2980005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 + 202?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -3*b**3 + 38*b**2 - b - 24. Let c be k(18). Let x = c - -10189. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 39996 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence la when two letters picked without replacement from {l: 1, b: 2, z: 1, t: 3, a: 5}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -432 + -424. Let x = y - -384. What is the remainder when 2\/7 - x\/14 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 - (11 + (1 - 12))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 68528 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((6\/(-28))\/3)\/(-56*(-3)\/(-147)).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**2 - 20*b + 35. Let f be r(18). Let t(s) = -367*s + 4. Is t(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + ((-38)\/114)\/((-2)\/12). Which is the biggest value?  (a) i  (b) 1\/5  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/2 and 69\/190.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (11 + -12 + (3 - 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 26*j + 98. Let b(m) = 4*m. Give b(y(n)).\nAnswer: 104*n + 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 20154489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -12019*0.07\nAnswer: -841.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 28  (b) -17\/3  (c) 0  (d) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48797 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 539 divide 148530074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1.735 and 70011593.\nAnswer: 70011591.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 963*q**2 - 342830*q + 708. Determine s(356).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f = 88*a - 87*a + 11, 6*f + 5*a + 10 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -1, -4, 3 in descending order.\nAnswer: 4, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 97999 - 48682 - 49317 - 2*f - 16*f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -3858431 + 0*n**2 + 3858431 + n**2. Let w(f) = -1091*f**2. Give w(l(u)).\nAnswer: -1091*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(12\/28) - (-6520)\/920.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 28 + -24. Suppose 2*p - 2*l - 106 = -2*p, -v*p + 121 = 3*l. Let t = p + 14. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 14 - 4. Suppose -5*i + 10 = -x. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 13*y**2 + 7*y - 8. Suppose 0 = 13*k + 17*k + 33*k - 63. Give v(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 160086 = 3*j - 8*j, 266699 = 5*p - 4*j. What are the prime factors of p?\nAnswer: 7, 7621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 5096460 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 32976 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((5\/(-2))\/(264\/396))\/(1\/(-4)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3351918?\nAnswer: 2, 3, 89, 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -3*v**3 - 3. Let u be r(3). Let q = u - -94. Is q at most as big as 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-33)\/(-132))\/((-21)\/(-24))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = 2*t - 18. Let g(z) = z**3 + 3*z**2 - 4*z + 2. Let v be g(t). What is the third derivative of -200*x + 200*x + 3*x**v - 4*x**4 wrt x?\nAnswer: -96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-426)\/(-798) + 291\/(-57) + 5.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeeherjeeheeheej. What is prob of picking 1 j and 1 r?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 13765.5574 rounded to the nearest integer?\nAnswer: 13766","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5751.333 centuries to millennia.\nAnswer: 575.1333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that -y**4 - 706*y**3 - 5599*y**2 - 10470*y = 0.\nAnswer: -698, -5, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -80920 + 213159. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:21 AM and 1:07 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 (base 12) in base 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -18 - -35. Suppose 4*t - q = -5. Calculate the common denominator of (44\/1)\/(1 - 8) and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1422 + 1407 = -15*y. Suppose -20 = -n - 4*n. Solve 0 = -n*j - 3*w + 23, -4 = -3*w - y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6388847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 31890030 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 934 is divided by 327.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of 105074 and -3.\nAnswer: -315222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = 2*h - 2, 1 = s - 5*h - 1. Solve -8 = -5*w - 6*m + 4*m, -s*w - 16 = -4*m for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (3 + sqrt(343)*-2 + -3 + 5 + 3)*-4.\nAnswer: -37 + 56*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*-336521.\nAnswer: -1009563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, 0, 6, 4.\nAnswer: 0, 4, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -6, -4, 2, 0.7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 837691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 + 5 - 6)*(-4 + 4 + 6*c) - 10*c - 15*c + 8 + 23*c.\nAnswer: 40*c + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the third derivative of 1\/840*z**8 + 0*z - 1\/6*z**5 + 19\/300*z**6 - 4\/15*z**3 - 1\/75*z**7 + 4\/15*z**4 + 0 + 5*z**2. Factor y(f).\nAnswer: 2*(f - 2)**2*(f - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20956.86 litres to millilitres.\nAnswer: 20956860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 24813536 to the power of 1\/3, to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 2.1, 2, -0.2, 2.3, -4, 26?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -10 + (60 - (-4 - -36))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 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: What comes next: -101, -194, -287, -380, -473, -566?\nAnswer: -659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 737 and 37220711.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 21479 rounded to the nearest 1000?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 45 and 12120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -5 + -7 + -3 + -7 - 5\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 2 + 0)*(-4*f**2 + 5*f**2 + 10*f**2)*(-23 + 30 + 25) as m + x*f**2 + z*f and give x.\nAnswer: -704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand q**2 - q**2 - q**5 + (-3 - 2*q**3 + 3)*(-6*q**2 + 3*q**2 + 2*q**2) + 4*q - 4*q - 2*q**5 - 35*q**3 + 24*q**3 + 24*q**3 + 2*q**5.\nAnswer: q**5 + 13*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 197 minutes before 1:43 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*a + 2*a + a**3)*(-2 - 1 + 2 - 1 + 5 - 2 + (5 + 1 - 4)*(-2 + 2 - 3) + (1 + 2 - 2)*(20 - 36 - 11)) as b + x*a**2 + z*a**3 + p*a and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -801, -821, -841, -861, -881, -901?\nAnswer: -921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.1, -3, 2\/3, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1436184125 to the nearest integer?\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -763524*o**5 + 779967*o**2.\nAnswer: -45811440*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 50894 or 50893?\nAnswer: 50894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 676967\/72 + -9402. Find the common denominator of m and (-188)\/(-6)*(-7 - (-377)\/54).\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.053 and 3.\nAnswer: -0.159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1 and 3792.\nAnswer: 3792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -88*c**3\/21 - 1982*c**2\/21 + 926*c - 420 = 0 for c.\nAnswer: -30, 21\/44, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c**2\/4 - 3*c\/4 + 9\/2 = 0.\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -40 - 19*k - 39 + 40*k - 30*k. Let c be o(-9). Solve 0*q - 2*x = -c*q + 12, 4*q = 2*x + 16 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48446755 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10676454 divided by 3558818.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4520508 or -4520502?\nAnswer: -4520502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/3625 and -82\/75.\nAnswer: 10875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pj when two letters picked without replacement from pjjjpjjpjjjjjjj?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 15*h + 37*h - 14*h + 190 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -194 (base 15) to base 10.\nAnswer: -364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 71 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 18891253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 191510 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -3*g**3 - 15*g**2 + 17*g + 5. Let f be j(-6). Solve -9 = m - 3*s, -s - f = -15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ywe when three letters picked without replacement from ywbeyywbwobzyybbzbz.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -7 times -69\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9309.\nAnswer: 3, 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, 0.35, 25 in decreasing order.\nAnswer: 25, 0.35, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.2 + 0.2. Let s = 0.6 - -0.4. Which is the nearest to 1?  (a) z  (b) s  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the third derivative of w**5\/60 - w**4\/12 + w**3\/6 - 5*w**2 - 11. Give c(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2778)\/(-30) - (-1 + 6\/10). Let h = k + -97. Let m = 0.007 + -2.007. Sort -30, m, h in decreasing order.\nAnswer: m, h, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 43 - 17)*(m - 2*m - 10*m).\nAnswer: 583*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -599327922 divided by 299663961.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (((sqrt(130)*-2 + sqrt(130) - sqrt(130))*6)\/sqrt(10) + -3 + 3*2*sqrt(13) + -2 + 3)*4.\nAnswer: -24*sqrt(13) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 2276105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y**5\/2 + 1333*y**4\/4 + 54939*y**3 - 1238479*y**2\/4 - 37818653*y - 18825075 = 0. Calculate y.\nAnswer: -334, -25, -1\/2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*s**2 + 4*s**2 + 2 - 2 - 39*s.\nAnswer: 2*s**2 - 39*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 + 0)*(-49*p + 130 - 130) + 37*p + 64 - 64.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*b**2 - 208244*b + 416504.\nAnswer: -4*(b - 2)*(b + 52063)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0 - (-2 + 0\/3). Let m(y) = -2*y**2 - 14*y + 19. Let b be m(-8). Factor 2*i**4 - 3*i + i + 7*i**2 - 6*i**b - i**p.\nAnswer: 2*i*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 6 - 3)*(-662*i**2 + 379 - 379).\nAnswer: -1986*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.4 + -3.4. Let w = 1 - 0. Let g = -0.6 + w. What is the closest to -0.1 in -1, g, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47155*j**2 - 15722*j**2 - 15725*j**2 - 15715*j**2.\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5753, -11513, -17273?\nAnswer: -23033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 942.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-2\/15)*(y*y\/y**(-5))\/y*(y**(-6\/11)*y*y)\/y**(-6\/11) assuming y is positive.\nAnswer: y**(118\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 576606 to the nearest integer?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 8*r**3 - 7*r**2 + 301*r + 28. Let l(o) = -18*o**3 + 15*o**2 - 602*o - 60. Give 5*l(b) + 11*y(b).\nAnswer: -2*b**3 - 2*b**2 + 301*b + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 169739*l. Let v(g) = -19*g. Determine v(s(p)).\nAnswer: -3225041*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -1  (b) -1\/11  (c) 0  (d) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -3 - ((-120)\/168 + -1*2). What is the closest to 0.04 in -0.2, r, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - f + 2)*(-1 + 0 + 3) - f + 1 - 1 - 2*f - 6897 + 8162 + 3*f.\nAnswer: -2*f + 1265","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -10 + 7 - (-4 - -1). Let k(o) = 16*o**3 + 2*o**2. Let m be k(1). Suppose n = 2*l + l - m. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25877 is divided by 990?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2715 or -2714?\nAnswer: -2714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2.5 - -0.5. Let d = -5 + s. Put -2\/7, d, 5 in decreasing order.\nAnswer: 5, -2\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 1 - 12 = -3*g, -3*w = 2*g - 7. Sort 3, 0, g.\nAnswer: 0, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h - 7*v + 6*v = 27, 70 = -7*h - 3*h - 2*v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*((525\/10)\/7)\/(18\/12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**2 + v + 6. Let o be b(3). Let z(r) be the first derivative of 0*r**3 - 3 - r + o*r**4 + 0*r**2 + 2\/5*r**5. What is the derivative of z(i) wrt i?\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -2*b + 2*b - b - 3. List the prime factors of s(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 20, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 150807836.7834 + -150808788.783398809. Let a = -952 - h. What is a rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 2233402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -672263\/2 + 336145. Factor 81\/2*y - 9\/2*y**3 - 3\/2*y**4 + d*y**2 + 0.\nAnswer: -3*y*(y - 3)*(y + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.004 times 62.458?\nAnswer: -0.249832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 343204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the first derivative of 3*h**4\/20 + 248*h**3\/5 + 4758*h**2 + 178608*h\/5 + 2912. Solve v(z) = 0 for z.\nAnswer: -122, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 21 in 16, -0.04763, 3?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7.5 + 6. Let p = l + 1. Let v = -1.15 - -1.05. Which is the nearest to 2?  (a) v  (b) p  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wncmttmn. What is prob of sequence cm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 26 + -11. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the first derivative of y**6\/48 - y**5\/40 - y**4\/32 + y**3\/24 + 5. Factor v(i).\nAnswer: i**2*(i - 1)**2*(i + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.073661 litres in millilitres?\nAnswer: 3073.661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2.27 + 2.27214. Round n to 4 dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 1\/4  (b) 0  (c) -77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 988, -0.1, -0.2, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3652 = -8*p + 4020. Calculate the remainder when 1011 is divided by p.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2*j**3 - 3)*(-6 - 3 + 3)*(-6 + 4 + 0).\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4923*k**5 - 4519*k wrt k?\nAnswer: 98460*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) -0.1814  (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 438\/190 - 2 - 2\/10?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) -6  (c) 131\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -n + 74*n**3 - 76*n**3 - 2*n in the form d*n + q*n**3 + k*n**2 + z and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -50 - 26?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -19*p + 5. Let o(r) = -35635*r. What is o(n(d))?\nAnswer: 677065*d - 178175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(45\/(-42))*2920\/3066.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 42455910?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 197*y**4 - 6*y**3 - 14*y + 1046 wrt y.\nAnswer: 2364*y**2 - 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the second derivative of 43*t**4\/4 + 41*t**3\/6 + 55*t + 1. What is the second derivative of v(d) wrt d?\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the third derivative of -13*c**7\/210 + c**6\/2 + 8549*c**5\/60 + 3*c**2 + 2*c - 29. Find the third derivative of i(u) wrt u.\nAnswer: -312*u + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8?  (a) 1\/2  (b) -0.1  (c) -1\/8  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 31*k**2 + 7*k + 29. What is the remainder when y(2) is divided by (-2)\/((-4)\/(-34))*-1?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 5*z**2 + 0*z - 2*z**3 + 6*z**3 - 5*z**3 - 5*z. Let s(y) = y**3 - 2*y**2 + 2*y. Give 2*l(m) + 5*s(m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d**2 + 8349470*d + 16698920 = 0.\nAnswer: -1669892, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 6*d**2 + 3*d + 8. Let n be c(-2). Calculate the greatest common factor of 91 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o**3 - 10*o**2 + o + 13. Let j be i(-10). Suppose -t = -2*p - 15, j*t - 4*p - 56 = -t. Is t at least as big as 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -39 - -0.65534.\nAnswer: -38.34466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 15276734717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 486 is divided by 115?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 31*f - 96. Calculate the remainder when a(17) is divided by 140.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -m**2 - 8*m + 5. What is y(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1668, 1666, 1664, 1662, 1660?\nAnswer: 1658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the first derivative of 7*c**4\/4 - 2*c**3 + 5. What is the third derivative of v(w) wrt w?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -11\/6, -0.4, 1, 493 in descending order.\nAnswer: 493, 1, -0.4, -11\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20020 - 12120?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k = 4*v + 4, -7475*v + 7473*v + 4 = -2*k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -16 + (-2 - 1) + (15 - 13)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r**3 - 227*r**2 + 33*r - 7468. Calculate p(227).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 5*f - 2*r - 516, -436 = -4*f + 5*r. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**2 + q**2 + 2*q**2 - q**2. Let d(l) = 13*l**2 - 1 + 6 - 3 + 19*l**2 - 30*l**2. Calculate d(z(o)).\nAnswer: 2*o**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**3 - 12*p**2 - p + 17. Let y be u(12). Let x(n) = n**2 + 8*n + 9. Let q be x(-7). Solve 0 - 3\/4*w**3 + 0*w + 3\/4*w**4 + 1\/4*w**q - 1\/4*w**y = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -3*h + 1867. Is c(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1101110110001011 (base 2) in base 8?\nAnswer: -156613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, z: 1, b: 1, h: 1, p: 1}. What is prob of picking 1 b, 1 z, and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t*t**(2\/7)*t*t)\/(t**(3\/5)\/t)*t*(t**(4\/5)*t*t)\/t*t**4 assuming t is positive.\nAnswer: t**(402\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -179*c - 599. Let y be i(-5). Calculate the greatest common divisor of 28 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -9.446 in -4, -2\/9, 3\/20?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 + 24451?\nAnswer: 24451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i. Let r(m) = -3*m + 1. Let v(z) = -r(z) + 3*t(z). Let h be 1 + (-705)\/90 + (-15)\/(-18). What is v(h)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -78449.4146103 - -78339.4146. Let g = 110 + z. What is g rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**4 + 6782*o**3 + 4908567*o**2 - 4915350*o.\nAnswer: o*(o - 1)*(o + 825)*(o + 5958)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1794*d**3*n*r + 8859*d**3 - 13*d**2*n**2 + 178*d*n**2*r wrt r?\nAnswer: 1794*d**3*n + 178*d*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -20761, -20615, -20345, -19927, -19337, -18551?\n\"Answer: 4*s**3 + 38*s**2 + 4*s - 20807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -17481 + 69949\/4. Let p(y) be the second derivative of 33*y + x*y**4 + 105\/2*y**3 + 0 + 245\/2*y**2 + 1\/4*y**5. Let p(f) = 0. What is f?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 9*o**2 + 5. Let c(r) = 9*r**2 - 5*r - 3. Let v(q) = q**2 - q - 1. Let w(x) = c(x) - 5*v(x). Give 2*d(s) - 5*w(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 20217215 divided by 36?\nAnswer: 20217215\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (6 - (1 - 3)) + (3 - 1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 4*n = 0, -3*p = -5*p - 5*n + 3. Suppose -r - p*r + 75 = 0. Calculate the remainder when 28 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -48500 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1074, 4316, 9720, 17286, 27014, 38904, 52956?\nAnswer: 69170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.02419479 to four dps.\nAnswer: -0.0242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 3*d**2 - 48*d - 6. Let q(y) = y**2 - 16*y - 6. Let l(a) = -4*h(a) + 11*q(a). Give l(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 66 - 68. Let f be (-2)\/c - 24\/(-6)*2. Suppose -2*p = -f*p + 854. What is p rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 17*q + 1539 = 0. What is the highest common divisor of q and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that 4*a**3 + 21*a**2 + 29*a + 6 = 0.\nAnswer: -3, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 2860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -3*j - 5. Suppose -416*d = 61*d + 477. Determine s(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 43 * -0.024.\nAnswer: -1.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 255844 - 430805. Let d = 695461 + m. Round d to the nearest 10000.\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 67*c + 30*c - 31*c + 48*c - 5130 = 0 for c.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the first derivative of h**3\/6 + 85*h**2\/4 + 42*h + 679. Let w(x) = 0. Calculate x.\nAnswer: -84, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2089 a factor of 2308286508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 10103921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -7*g + 34. Let x be r(5). Let p be x\/5 + (-31)\/(-5). Suppose p*y = 3*y + n + 211, y - 77 = -3*n. List the prime factors of y.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (35 - 17782\/510)*30. Suppose -23 = 3*n - 2*n. Put n, -5, u, -1 in descending order.\nAnswer: u, -1, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -257, -260, -263?\n\"Answer: -3*x - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by 3985\nAnswer: 1\/797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0\/((-4)\/((-10)\/(-5)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/(-14)*(-287)\/492*12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -354955, -354983, -355011?\n\"Answer: -28*h - 354927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Let o be 1 + 0 - 7\/14*-22. Let i = o + -7. Solve -i*w - 3*h - 7 = 0, -8 = w - 5*h - 29 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 952819 to the power of 1\/2, to the nearest integer?\nAnswer: 976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 20425 - 14060. List the prime factors of b.\nAnswer: 5, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -80 divided by 2803?\nAnswer: -80\/2803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 10 = 0, -4*i + 12 = -q - 6. Suppose -150 = -q*s - 4. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 7 = q, -5*q = y - 4*y - 1. Is q\/(13808\/4604 + -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = w. Let r be (-2)\/4*-2*4. Suppose w*u - u = -r. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -3*q**2 - 4*q - 1. Let o(f) = 8*f**2 + 12*f + 5. What is -2*o(t) - 7*r(t)?\nAnswer: 5*t**2 + 4*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1eb (base 15) in base 3?\nAnswer: -121112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 16, 19, -6, -71, -188, -369?\n\"Answer: -2*y**3 - 2*y**2 + 23*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in v - 12*v - 39*v.\nAnswer: -50*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1932311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 2*t**3 + 3*t**2 + 3*t + 217. Let v(k) = 7*k**3 + 11*k**2 + 11*k + 867. What is -6*v(p) + 22*y(p)?\nAnswer: 2*p**3 - 428","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k + 51*y + 527 = -447, -6*k + 2*k - 5*y = -k + 92 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n - 10. Let c be d(-10). Suppose -5*q = -4*z - 53, -2*q + 15 = q. Let a be (z\/(-7))\/((-2)\/(-4)). Solve -2*o - a*o + 8 = c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbqnfcnc. What is prob of sequence cnbb?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 19*n**3 + 9*n. Let b(g) be the first derivative of 5*g**4\/2 + 5*g**2\/2 - 1828. Suppose -12 = -3*m + m. What is m*d(t) - 11*b(t)?\nAnswer: 4*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 2*p**2 - p - 18. Let h be j(3). Which is the fourth biggest value?  (a) 0.1  (b) -1\/4  (c) 15  (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 54, -7, -1, -3 in descending order.\nAnswer: 54, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 3284 divide 23206655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -2*b**3 - 12*b**2 + 7*b - 12. Calculate the remainder when w(-8) is divided by 31.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 144 - 144. Suppose -2*l + 6*l = -d + 14, q = 5*d - 3*l - 24. Let h(a) = a**2 - 6*a + 6. Determine h(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 8 = -2*g - 10, 3*q - 22 = 4*g. Let i be 6*q + (-8 - -5). Let s be i\/12*(-4)\/6. What is the closest to s in 0.5, -4, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t**(4\/13)*t)\/t*t*t)\/t*t\/t**3)**(-8\/13)*(((t*t\/t**(3\/4))\/t)**14)**27 assuming t is positive.\nAnswer: t**(31877\/338)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 4202 = -7*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -10*x**2 - 18*x - 10. Let z(s) = s**2 + s. Calculate y(a) + 12*z(a).\nAnswer: 2*a**2 - 6*a - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 299400 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 141 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 94981524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*q**2\/7 + 88*q\/7 + 92\/7 = 0. What is q?\nAnswer: -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 - 1)\/(-1)*2. Suppose h = 3*m - 14. Let q(t) be the third derivative of t**6\/120 - t**5\/10 + 2*t**3\/3 + 1250*t**2 - 2*t. Determine q(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4265.\nAnswer: 5, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-2059)\/(-232))\/(0 + -1) + 2\/(-16). Let y(l) = 4*l**2 + 4*l + 32. Let t(x) = x**2 + x + 8. Calculate u*t(s) + 2*y(s).\nAnswer: -s**2 - s - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1586\/988 - (-2)\/(-19)) + (-6)\/4. Let f(y) be the second derivative of 0*y**3 - 1\/6*y**4 + 0 + j*y**2 - 10*y. Let u(p) = -41*p**2. What is u(f(m))?\nAnswer: -164*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Let z = -8584 - -8585. Sort -34, -4\/21, z, -3 in descending order.\nAnswer: z, -4\/21, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3445*k - 869*k + 757*k.\nAnswer: -3557*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -548367544*z + 639155545 with respect to z.\nAnswer: -548367544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:45 PM and 10:09 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - s + 3 = 0, 5*r + 0*r - s - 18 = 0. Suppose c - 5*d = -r, 5*c - d = -2*d + 11. Is c + 3\/((-6)\/(-56)) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10280 and 60?\nAnswer: 30840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3296 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.11  (b) -4  (c) -0.3  (d) 10\/59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -2*r - 5*d, 6*r - r - 71 = -4*d. What is the remainder when r is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1*2 - (-890)\/5. Suppose 2*o - v = -2*o. Calculate the remainder when o is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 + 4. Let u be (1 + -1)*1 + 4 + i. Let y be u\/2 + -1 - 9\/(-2). Solve -3*w = -4*w + 1, -13 = y*o + 2*w for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three sixteenths of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 5 + 1*sqrt(3) + -4 + ((sqrt(3000) - (-2*sqrt(3000) + sqrt(3000))) + sqrt(3000))\/(4*-1*sqrt(10)).\nAnswer: -13*sqrt(3)\/2 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -18024 or 5?\nAnswer: -18024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 428 minutes after 5:13 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 d when two letters picked without replacement from {m: 1, s: 1, b: 1, d: 2, p: 5}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 198 and 330?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u - 46 = 2*f, -4*f + 38 = 12712*u - 12709*u for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.2 + 1.2. Let o be (4\/30)\/((-8)\/12). Which is the nearest to 2\/3?  (a) 3  (b) o  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 - -8.5. Let i = 58 - 89.9. Let j = i - -32. Which is greater: j or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 - -8) + 1 + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 68 - 2562*n - 2531*n - 68 + 5092*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -78*v + 74*v + 32, -5*v = 5*d - 65. Solve -3*t - 2*x + d = -12, 4*x = -t + 19 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 32, -3, -1\/7, -1\/4, 0.13, -3\/2, 3.4?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -210, -431, -652, -873?\nAnswer: -1094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is m in -20*m**2 - 3*m**3 - 3*m**4 - 17*m + 14*m - 90 - 30*m + 77*m**2 = 0?\nAnswer: -5, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 31\/(-48 + 9 - -38)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -95*x - 6. Let g(n) = -3136*n - 196. Calculate -3*g(o) + 98*j(o).\nAnswer: 98*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 11) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 91211514 and 2451?\nAnswer: 2451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8 - 3. Suppose -j*s + 46 = -4*v, 2*s - 3*v + 0*v - 17 = 0. Suppose -3*a + 40 = s. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 613.5*-0.1718\nAnswer: -105.3993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -2*r**2 + 113*r - 1451. Calculate k(21).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 10 = 10. Suppose 4*x = 2*o - 4*o + 14, x - 17 = h*o. Let n be o\/(-108) + (-2)\/(-9). What is the third smallest value in 5, -1, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 54.9 + -55.5. Which is smaller: -39 or u?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fjzjggjzjgfj. What is prob of picking 2 f, 1 z, and 1 j?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 5*x = 0, -5*c = x + 16 - 44. Let a(v) = v**3 + 11*v**2 + 12*v + 25. Let d be a(-10). Suppose -c*r = 4*l, l + d*r = 5*l + 40. Is -6 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -33, 0, -2 in increasing order.\nAnswer: -33, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/2 of a kilogram in grams?\nAnswer: 6500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*u**2 + 2*u**2 + 156*u**4 + u - 228*u**4 + u**3 + 4*u**3 + 128 wrt u?\nAnswer: -864*u**2 + 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(2\/17)\/(c**(-6\/11)*c*c) assuming c is positive.\nAnswer: c**(-250\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10 + 7. Let f be 47\/(u + (-7)\/(-2)). Let p = f + -65. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -20, 5, -8, 27, 6, 2 in ascending order.\nAnswer: -20, -8, 2, 5, 6, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 426457500 rounded to the nearest 1000000?\nAnswer: 426000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 9?  (a) 0.181  (b) -1\/10  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c = -3*w - 0 + 25, 2*w - 15 = c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 1 = 4*s - 6, -p - 2*s + 11 = 0. Calculate the greatest common factor of p and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 8*w**2 - 1376*w - 3030. Determine o(174).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the first derivative of 2*g**3\/9 - 5*g**2\/3 - 4*g - 143. Factor m(l).\nAnswer: 2*(l - 6)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 6554, 13104, 19670, 26258, 32874?\n\"Answer: w**3 + 2*w**2 + 6537*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g - 3*w + 1129, 4*g - 1048 = -w + 3435. Let b be (24\/(-5))\/((-21)\/g). What is the highest common factor of b and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16436 and 3297766?\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 2 = 8. Suppose -4*q - 30 = -5*i + 3*i, -4*q - 10 = w*i. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from prrtpup. Give prob of picking 2 r and 1 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n - 6. Let x be w(4). Let b be (-3)\/x*124\/3. Suppose 2*a - 3*t - 174 = 0, 0 = -3*a + 3*t + 199 + b. Round a to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46*((2 - (-50)\/(-26)) + (-3450)\/5980)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.5, -2\/31, 1, -5.982?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 i and 1 y when four letters picked without replacement from {i: 8, y: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 2*r - 63 = 5*o, -2*r - o + 21 = 0. Solve 5*m = 8*m - r for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 676211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 22 + -18 - (-5 + -8).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/17  (b) 2\/3  (c) -12250\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrrrrrrrrurrrrurruru. Give prob of sequence rur.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.054 from -0.06.\nAnswer: -0.114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l**0)**(-2\/69)\/(l**(-2\/7)\/(l*l**1)) assuming l is positive.\nAnswer: l**(1090\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 27 - 77. Let k be (m\/15)\/((-4)\/30). Find p, given that p**3 + 24*p**2 + 5*p - 3*p - k*p**2 - 2*p**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1331) + -1)*2.\nAnswer: -2 + 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11.3 + 13.12. What is g rounded to 1 dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/6)\/(176\/24) - 14\/2695?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = c + 26 - 108, 364 = 4*c + 4*x. List the prime factors of c.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1271, 1270, 1269, 1268, 1267, 1266?\nAnswer: 1265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20230.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -204*y - 5*y**3 + 210*y + 1662 - 1662.\nAnswer: -5*y**3 + 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30723*s - s**3 - 92201*s + 30728*s + 30743*s.\nAnswer: -s**3 - 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (45\/10)\/(81\/(-24) - -3). Let c be f\/36 - 424\/(-12). Calculate the greatest common divisor of c and 315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pa when two letters picked without replacement from {p: 9, a: 9}.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -11*x**2 - 96*x + 7. Let c(a) = -a. Calculate r(c(v)).\nAnswer: -11*v**2 + 96*v + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1208*l + 7151*l + 540 + 554 - 1094.\nAnswer: 5943*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 158 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5*(-4)\/120)\/1*-2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 + 1.9. Let n = p - 2.9. Which is the second biggest value?  (a) 0  (b) 0.2  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 109 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -250*j + 79 = -14171 for j.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**3 - 11*f**2 + 22*f - 9. Determine k(8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2942 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = 4*t - 8*t - 20, -u = 3*t + 1. Let d = u - 8. Let h = d - -5. Calculate the highest common factor of 5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -56 + 125. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -26.8 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*s - s = -1088. List the prime factors of s.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12345 (base 6) to base 7.\nAnswer: 5303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19*0.037043.\nAnswer: 0.703817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w = -4*w - 7*p - 104, 0 = 2*w + 5*p - 32. What is the highest common factor of 8990 and w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m - 3. Let n be j(-5). Suppose -10 = n*s - 3*s. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 109326613 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dwq when three letters picked without replacement from {e: 4, s: 1, q: 2, d: 2, w: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 618 = -84*k - 60*k + 41*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.013 + -0.513. Let p = -0.1 + 0.2. Which is the closest to p?  (a) 2\/3  (b) -1\/2  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 4*l + 701 - 2003, 4*g = -l + 306. What is the greatest common factor of l and 420?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -d + 2ae79?\nAnswer: 2ae6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes before 1:20 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 7*b**3 - 4*b**2 + 5*b + 2. Let u(i) = -4 - 1262*i**3 + 6*i**2 - 11*i + 631*i**3 + 3*i**2 + 616*i**3. Give 4*u(v) + 9*x(v).\nAnswer: 3*v**3 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 487032869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9000\/(-4200)*14\/12*9\/15?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l + 4, -3*l - 16 = -3*u + 8. Let r = 0 + u. What is the second derivative of -x - 2*x**3 + r*x - x + 5*x**3 wrt x?\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*f = -54 - 58. Let k be -6*f\/(-56)*(-14)\/6. Solve -2*l + k = 4*y + 3*l, -2*l = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 85 is divided by 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -16 + 0 + (-87 - -93)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -739505*h**4 - 13311080*h**3 - 59899725*h**2 + 810*h = 0 for h.\nAnswer: -9, 0, 2\/147901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 67946849.\nAnswer: 1249, 54401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + c**2 + 3 - 23*c**2 to w*c**2 + q + r*c and give w.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10 - -5) + (-1 - -14).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w**2 + 4*w**2 - 6*w**2)*(23 + w**3 - 2*w**3 - 36).\nAnswer: 3*w**5 + 39*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 25, 37, 53, 73, 97, 125, 157?\n\"Answer: 2*i**2 + 6*i + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -9 - -11. Find the third derivative of 2*w**2 + 3*w**4 + 7*w**f - 6*w**2 + 2*w**4 wrt w.\nAnswer: 120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11178 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 5*x - 1. Let k be (-212)\/(-20) - 2\/(-5). Let l = -33 - k. Let s be (-8)\/l - (-96)\/(-44). Determine p(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3366001?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2, 1, -189, 5, 2\/11?\nAnswer: -189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.4 + -29.4. Let g = x - -29.068. Let d = 0.0713 - g. Round d to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1718175640 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.8*1.52.\nAnswer: 1.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1 - 1. Let d be ((-5)\/60)\/(1\/(-24)). Suppose 2*x - d*b - 154 = v, -54 = -x + 3*b + 31. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 4414*v**3 + 1363*v**3 - 7061*v**3 + 0.\nAnswer: -10112*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(48)\/(sqrt(12) - sqrt(1728)*1 - sqrt(12)))\/(sqrt(8) - (sqrt(24)\/(-4*sqrt(3) + sqrt(3)) + sqrt(8))).\nAnswer: -sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -366 divided by -2?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 849 is divided by 353?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m + 1. Let q be f(-7). Let c(h) = 6*h - 2*h + q*h + 1. Is c(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the second derivative of n**5\/110 - n**4\/33 + 36*n. Suppose a(x) = 0. What is x?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/6*-3)\/3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1540 divided by -20?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from {r: 2, o: 3, b: 1, i: 2, d: 2, y: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (5 - 2) + 1 + 2. Let o(b) = -b**2 + 10*b - 5. Let z(p) = 3*p**2 - 29*p + 15. Let f(s) = d*z(s) + 17*o(s). Let m be f(4). Solve m*v = -2 - 18 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2365 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -2*g - 8, 2*r - 39 = 3*g + 2*g. Solve -5*i - 30*o + 27*o + 31 = 0, -r*i + 16 = 3*o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4\/963 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqmyqmqsqqmwqw. What is prob of sequence mq?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*y**2 - 2*y**4 + 5*y**2 - y**4 - y**4 + 4*y**4 + (0*y + 3*y - 2*y)*(-y + y + y**3) + 2*y**4 + 3*y - 3*y - 6*y**4 + 7*y**4 + 39*y**4.\nAnswer: 43*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:15 AM and 1:47 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.05  (b) 1  (c) 3  (d) -0.4  (e) -1866  (f) 0.1  (g) -3\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -n**4 - 2*n**3 - 6884*n**2 + 996*n - 5?\nAnswer: -12*n**2 - 12*n - 13768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18 - -38 - 26 - 73.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(500) + 2 + (sqrt(500) - 3*sqrt(500))*-5 + 0 + (5*(4 + sqrt(500)) + -1)*-2)**2.\nAnswer: -700*sqrt(5) + 1725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 12 = -6*g - 5*u, 0 = -2*u - 8. Suppose 2*d - 5*q + 25 = d, 15 = 3*q. What is the second derivative of -g*h + 6*h + 2*h**5 + 6*h + d*h**5 wrt h?\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**(7\/2))**2\/(((t*(t*t**4)\/t*t)\/t)\/t**(-2)) assuming t is positive.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(504)\/(1*(sqrt(32) - sqrt(8))))\/(3*sqrt(18)\/(-1*sqrt(2))).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100100100100001110011 (base 2) to base 12.\nAnswer: 499497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/527?  (a) 0  (b) -0.527  (c) -0.02  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-144)\/(-10) + (-20)\/50. Suppose -7*w = -5*w - m. Let z be -2 - (3 - w) - -248. Round z to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*t**3 + 8*t**3 - 4*t**3 + t in the form i*t**3 + u + f*t**2 + l*t and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -2*k**3 + k**2. Let y be d(-2). Suppose -5*l = 20 + y. Let m = 13 + l. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, z: 3, s: 2, p: 6}. Give prob of sequence zj.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -2*g**2. Let z(u) = -64*u. Give c(z(n)).\nAnswer: -8192*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -20, 1, 24, -172 in ascending order.\nAnswer: -172, -20, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that 18375*h**4 + 12075*h**3 - 50805*h**2 - 2931*h - 42 = 0.\nAnswer: -2, -1\/35, 7\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4643 - 41533 = -1201*l + 33271 - 2905 for l.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/40 and -79\/520.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 5695488 divided by -18432?\nAnswer: -309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-156)\/(-9) - (-3)\/(-9). Suppose 0 = 5*y + 3*w - s, -2*w - 16 = -2*y - 6. Solve y*u = -4*t - 12, 2*t + 15 = t + 5*u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1387, 21, 4, 0, -16 in ascending order.\nAnswer: -1387, -16, 0, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-m + m + 2*m**2)*(-99*m + 55*m - 126*m) + 0 + 0 + 2*m**3 + (m + m + 0*m)*(2*m + m**2 - 2*m) to w*m**2 + k*m**3 + f*m + p and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 13641146357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2708945*i**5 + 2198951*i?\nAnswer: 54178900*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 37*j**2. Let x(m) = m. Give x(k(c)).\nAnswer: 37*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of 7.80023 and -8.\nAnswer: -62.40184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4721328.\nAnswer: 2, 3, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6\/83 + 101\/249. Let l = 0.1 - 0.1. Let w = -0.04 - 1.96. Which is the closest to l?  (a) n  (b) -1\/4  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -29, 1, -133, 4, -1 in decreasing order.\nAnswer: 4, 1, -1, -29, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 + 3 + -13 + (8 - -3) + 89 - 2.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.1 - 0. Suppose 2*v = -0*v + 6. Let y be -2*(-3)\/3*-2. Which is the nearest to i?  (a) -4\/9  (b) y  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (0 - (-7 + -2)) - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 799119\/102 + (10\/(-4))\/(-1).\nAnswer: 17, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the second derivative of -2*r - 1\/3*r**4 + 0 - 2*r**2 + 1\/20*r**5 + 1\/3*r**3. Does 8 divide b(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1119.5 - -3432417\nAnswer: 3431297.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = 2*k + 390. Let o = 78 + k. Solve o = -4*y - 4 - 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (6\/(-4))\/((-6)\/204). Suppose -a = 2*a - m. Suppose 4*d - 45 = -a. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 4*h + 14 = -0*u, -3*u = -4*h - 18. Let p(a) = a - 1. Let c be p(5). Find the third derivative of -6*d**4 - d**4 + u*d**c + 4*d**2 - d**4 wrt d.\nAnswer: -144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1\/2616 + 13663\/4360. Let p = 14\/5 - v. What is the second biggest value in p, -5, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 244194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 1\/6  (b) -0.07  (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -2\/17  (b) 1  (c) 3  (d) -3711\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 30\/17 + -103\/68. Are 2 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 487.7751l?\nAnswer: 487775.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.63 - -3.63. Which is the closest to -4?  (a) -3  (b) 1  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:12 AM and 4:19 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -13698506 * 0.4\nAnswer: -5479402.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -97.3 - -93.3. What is the closest to z in -2, -4, -43?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -2*b**3 - 5*b**2 + 3. Let d(g) = 3*g**3 + 8*g**2 - 4. Calculate -5*d(w) - 7*s(w).\nAnswer: -w**3 - 5*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 586401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the third derivative of -2*j**6\/15 + 3*j**3\/2 + 14*j**2. What is the first derivative of a(o) wrt o?\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8463798 is divided by 242?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3491 + 8185. What are the prime factors of a?\nAnswer: 2, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -35241 equal to -79388?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-36)\/16 - -2)*(-1616)\/(-1176) and -24\/35.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -23415 (base 10) to base 4.\nAnswer: -11231313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 12\/(-9)*(-30 - 12). Suppose -5 = -3*x + j, 61 = -5*x - j + f. Solve -2*n - 4 = r, x*r + 2*n = 5*r - 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*w = -25*w + 280. Solve 4*y - w = -m, 3 = 6*y - 5*y + 2*m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 82515, -3\/5, -5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1327 = -1415*d + 11232 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.11 - -0.09. Let d = 1780.1 - 1780. Let h = -4.6 - 0.4. Sort s, h, d.\nAnswer: h, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8\/(-20) + 1596\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*w**2\/4 + 56296614*w + 1056436249288332.\nAnswer: 3*(w + 37531076)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1 and 172.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o\/o**13)\/((((o*o*o**(-2))\/o)\/o)\/o)*o**12\/(o*o\/(o**(15\/7)\/o*o)*o) assuming o is positive.\nAnswer: o**(22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75*q + 7*q + 4032 = -19*q + 7*q for q.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.36?  (a) 5  (b) 0.6  (c) 2016337\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**2\/11 + 113622908*k\/11 + 1613770652797058\/11.\nAnswer: 2*(k + 28405727)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -4, 11*b - 10942 = 4*f + 45777. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6141*h**3 + 3*h + 3069*h**3 + 3069*h**3 - 40 to m*h + z*h**3 + b + o*h**2 and give b.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1806 and 2964257331.\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**3 - 16*c**2 - 60*c - 56. What is the remainder when 348 is divided by l(20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -1518*p - 11. Let g be d(-2). Calculate the greatest common divisor of g and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2d (base 16) to base 7.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 20481\/22 + -927. Find the common denominator of g and -31\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**3 + 9*t**2 + 3*t - 7. Let q be (-2 - (10 - -4))\/(-2 - -4). What is c(q)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -46356.779 - -44086.6707. Let u = d + 2270. Let y = u + 0.113. Round y to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -31 + (35 - 10) + (44 - 0)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*q**2 - 7*q + 21*q - 2 - 11*q - 2*q**3 in the form i*q + y*q**2 + m + c*q**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 126\/513*-10*18\/(-420). Let j be 6\/(-8)*4\/6. Which is the nearest to j?  (a) 3  (b) w  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = -2*k + 4. Suppose 16*v - 553 + 137 = 0. Suppose 3*q = 5*q + 5*w - v, q = w - k. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*u - 14 = -13*u. What is the smallest common multiple of 26 and u?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 62*h. Let k(b) = -4*b**2 - 7*b - 6. Let i be k(-2). Let o(z) = 41*z. Determine i*o(s) + 5*v(s).\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -65\/34 and -24\/65.\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes before 1:30 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-70)\/(-15) + -3)*-3. Let s(u) = -u**3 + 5*u + 1. Is s(t) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 78784\/(-672) - -155 - 38\/1?\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 55\/2 of a microgram?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3.2 * 28.\nAnswer: -89.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 82920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -44943061.56 to the nearest 10000.\nAnswer: -44940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2715 - 2711. Solve w*o - 12 = 3*g + g, -2*o + 9 = -5*g for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -13935*v - 13748. Determine y(-1).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -1. Let r(z) = -2*z - 4. Let w(k) = -5*h(k) + r(k). Let f be w(-1). Suppose 0*v - v = -f. Solve -2*d = -2, -4*d + v = p - 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 185 + -61. Let x = l + -113. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the first derivative of f**3\/3 + 26. Let z(o) be the third derivative of 3*o**4\/8 + 2*o**2. Calculate v(z(s)).\nAnswer: 81*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (32\/(-72))\/((-8)\/108). Let a(o) = -30*o + 182. Let m be a(t). Solve m*j = -n + 9 - 2, 5*j = n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -699468 divided by -6?\nAnswer: 116578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 224 and 232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-d + d + d)*(6168*d - 12418*d + 9578*d) to the form i*d + t*d**2 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -20 - -6. Let x = 56 + l. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 83583440?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 510*a - 506*a - 29 = -d, 5*d - 101 = 5*a + 44 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the third derivative of -j**6\/120 + 7*j**5\/12 + j**4\/24 - 35*j**3\/6 + 4*j**2 - 24. Let d be r(35). Solve d = y + 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 22991, 91888, 206731, 367532, 574303, 827056, 1125803?\n\"Answer: 2*x**3 + 22961*x**2 + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -516*o - 43341. Determine u(-84).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add together -11.22 and -1527297.\nAnswer: -1527308.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 2958834 divided by -2958834\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2837, -2224, -1591, -938, -265, 428, 1141?\nAnswer: 1874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 62.54*0.4.\nAnswer: 25.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 18*m**5 + 5*m**5 - 7*m**5 + (m**3 + 0*m**3 + 51*m**3)*(3*m - 3*m + m**2).\nAnswer: 68*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -798, -6348, -21414, -50754, -99126, -171288, -271998?\nAnswer: -406014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -149\/750 and 149\/4500.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 21 + -14. Let d(g) = -g + 9. Let w be d(7). Suppose w*p - o = 5, -5*o + 4*o = 2*p - m. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -g + 7227, 2*u - 3085 = 2*g - 17545. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24185883 and 2037?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 6 - (0 + 7 - 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a = -4*a + 28 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 158912, 158914, 158916, 158918, 158920?\nAnswer: 158922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 66 and 3947158.\nAnswer: 260512428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/32*(-86)\/(-43)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 3*t**2 - 1. Let u be z(1). Suppose 6*h + u*h = -32. Let x be 2 + -1 - -2 - 0. Which is the second biggest value?  (a) h  (b) -1\/8  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -54.6 - -726.6. Let p = f + -645.28. What is p rounded to 0 decimal places?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1995 + 429. What is the remainder when y\/(-10) + -2 + 28\/70 is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4309.0713*-1.1\nAnswer: -4739.97843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 149426 - 29*o - 149395 - o**4 + 31*o - 5*o**3 - o**2 in the form z*o + r*o**3 + x*o**2 + y*o**4 + j and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/14 and -89\/1232.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes before 11:38 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((sqrt(56) + (-1*sqrt(6776) - sqrt(6776) - sqrt(6776)))\/(sqrt(8) - sqrt(968)*3))**2.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 4*d**2 - 6. Let f be r(3). Let u be f\/(-4)*(-135040)\/(-12). Round u to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*b**2 - 264*b**3 + 255*b**3 + 25*b - b**4 - 21*b**2.\nAnswer: -b*(b - 1)*(b + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3099616 and 112.\nAnswer: 21697312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 11\/(330\/(-34420))*3\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 30*v - 62004 - 71496. Is v a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 7.639 and -304211?\nAnswer: 304218.639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*h**(1\/20)*h)\/(h**(-3\/7)\/h*h*h))\/(h**(-1\/4))**(-44))**2 assuming h is positive.\nAnswer: h**(-1333\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*q + 51003 + 405052 = -36327. List the prime factors of q.\nAnswer: 22381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11905\/9 + 1321. Let r = 2 + x. Let y = 0 - 1. Sort y, 1\/9, r in increasing order.\nAnswer: y, 1\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mwwf when four letters picked without replacement from fzwmw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i*(i\/(i*(i*((i**(3\/16)\/i)\/i)\/i)\/i))\/i*i*i*i*i**(-11)*i*i*(i\/i**4)\/((i\/i**(-1\/2))\/i) assuming i is positive.\nAnswer: i**(-107\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 7*g**2 - g**2 - g**3 - 5*g + 1 - 7. Suppose -12*a = 87*a - 495. Give h(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2*2)\/(6*(-6)\/(-36))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.3764 to 1 dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 7*a**2 + 13*a - 27. Let z(j) = -4*j**2 - 6*j + 14. Let d(w) = -3*u(w) - 5*z(w). Let r = -9 - 0. What is the smallest common multiple of d(r) and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**2. Let q(c) = -2*c - 5*c**2 + 7*c**2 + 2*c. Give q(y(t)).\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 7*r. Let c be (-1)\/(1*(-1)\/(-2)). Let v be a(c). Let i = -10 - v. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000563435 rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (9\/15)\/(2\/(-10)). Let z = s - -6. Suppose -34 = -2*i - 5*q + 90, -51 = -i + z*q. What is i rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 196*d - 39 = 193*d. Suppose d*o + 32 = 29*o. Factor 1\/5*c**5 - 1\/5*c**3 + 0*c**4 + 0 + 0*c + 0*c**o.\nAnswer: c**3*(c - 1)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let d = 5.03 - 0.03. Sort 4, -4, d in descending order.\nAnswer: d, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y + 1. Let j(q) = -q + 6. Let p(z) = 5*g(z) - j(z). What is the lowest common multiple of p(1) and (-2)\/(2\/(-1)*1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7049 and 274396423.\nAnswer: 274396423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f**3 - 22*f**2 - 43*f - 47. Suppose -15 = 3*b, 2*u - b = -14 - 21. Let q be j(u). Solve 2*h - q = -3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1629 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 5523748554 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 30*g + 9. Give s(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - ((-6 - (6 - 2)) + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 11, h: 3}?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 25579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1382*x**2 + x + 1637*x**2 - x.\nAnswer: 3019*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 190844?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 102.6909 centimeters to millimeters.\nAnswer: 1026.909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 705543246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10 - 0. Let h be 3 + -2 + (-15)\/l. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3757925 + 1?\nAnswer: -3757924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -41 at most as big as -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -170 = 59*x + 1532 + 197 + 284 for x.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 809027 or 809029?\nAnswer: 809027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 2*l - 87 = -4*k, -4*k - 5*l + 111 = 0. Calculate the remainder when 191 is divided by k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 5, s: 1, o: 2, j: 4, i: 2, a: 1}. What is prob of sequence ippi?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w = -3*t - 2*w - 26, -t - 12 = -3*w. What is the hundreds digit of (-682)\/t - (-5)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000047350867 to six dps.\nAnswer: 0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 16 = -5*q, 4*m = q + 1 - 11. Let t be (8 + -2)*5\/q. Suppose 5*h = 5*k - 105, 0 = 2*k - 3*h - 28 - t. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(1\/6)\/(p\/(p*p**6)))**(-12\/5)\/((p**(1\/4)\/p*p)**(-8)\/((p\/(p\/(p\/(p*p**6\/p*p)))*p)\/p*p\/((p**0\/p)\/p))) assuming p is positive.\nAnswer: p**(-79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 113 = 2*l - 3*y - 173, 2*l - 282 = 5*y. Are 145 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the third derivative of 0*r**3 + 1\/4*r**4 + 0 + 0*r - 145*r**2. Calculate y(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(72) - sqrt(72))*-1 - (sqrt(72) + 2 + -4).\nAnswer: -6*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -108, -107, -106, -105?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*x + 10696 - 158104 = 0. List the prime factors of x.\nAnswer: 2, 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 13 = 1. Let d = n - -10. Suppose z + 2*z = -d*g + 18, -2*z + 3*g + 32 = 0. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1250*t - 519*t - 566*t - 5 to the form g*t + h and give g.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1411 + 5615\/4. Find the common denominator of i and 2 + -1 + 88\/(-14).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2147 * 0.2\nAnswer: -429.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 5758 equal to -402?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -111, -99, -49, 57, 237, 509?\nAnswer: 891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2382.\nAnswer: 2, 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2732656 a multiple of 369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -10506 (base 7) in base 2?\nAnswer: -101001011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -s**3\/4 + 119*s**2\/2 - 11307*s\/4 - 60885\/2 = 0.\nAnswer: -9, 82, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 6, -1, -4 in ascending order.\nAnswer: -5, -4, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 60 and 16980.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y - 0*y + 12. Suppose -2*g + 7*g + 29 = -2*x, -3*x - 5*g = 41. Let c = x - y. Solve -2*o + 0*o = c for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(-4)\/t*t)\/t**(1\/27))\/((t*t*t\/t**1)\/t)**12)**32 assuming t is positive.\nAnswer: t**(-13856\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 292 = 4*t, -5*t - 3*l - 189 = 187. Let c = -68 - t. Calculate the lowest common multiple of c and 80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 31001736*y**4 + 490*y - 24504.\nAnswer: 372020832*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4\/369 or 4\/7?\nAnswer: -4\/369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, -2, -0.03, -5.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the third derivative of 0*p**3 + 0 + 0*p + 21*p**2 + 7\/30*p**6 + 0*p**4 - 1\/2*p**5. Find the third derivative of o(n) wrt n.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -375534891163 take away 8?\nAnswer: -375534891171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 57 - 57.1. Is -1\/2 greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + 4*p = -p + 6, -5*p = -10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*h**2 + 9*h**2 - 3*h**2 as u + r*h + l*h**2 and give l.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 12430276 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1057.64273 and -0.7?\nAnswer: 1056.94273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 5677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.9901 rounded to one decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 20110543 smaller than 20110544?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d**2 + 14*d + 9. Let q be y(14). Sort -2, q, -5 in ascending order.\nAnswer: -5, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 43622366 - 24722361. Suppose c = 5, 2*k = -k - c + j. What is k rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*l + 1806 - 1806.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -113\/286 and -107\/142758?\nAnswer: 1855854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the second derivative of -7*y**4\/6 - 5*y. Let s be (-3)\/((-1)\/(-1)) - -5. Let x(n) = n - 4*n + s*n + 2*n. What is x(f(k))?\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**3 + 13*w**2 + 27*w + 44. Is 15 a factor of x(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -29366 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange b - 1 + 1 - 184*b - 190*b + 388*b - 3 + b + 3 + (4*b - 2*b - 4*b)*(1 + 1 + 0) to h + x*b and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -51241549\/5768 - -62187\/7. Find the common denominator of z and -99\/824.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2 + 2)*(2*r**2 + 5 + r**2 - 2*r**2 + (3*r + 8*r + 15*r)*(-2*r + 2*r - r)).\nAnswer: -100*r**2 + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = 2*d - 15. Suppose 0 = d*i - 4*i + 47. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 149, 121, 95, 71, 49, 29?\n\"Answer: z**2 - 31*z + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1844968579?\nAnswer: 107, 877, 19661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the first derivative of 3\/2*u**2 - 1\/3*u**3 - 42 + 4*u. Determine s(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 522*c + 3588. Calculate r(-6).\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 2*m**5 + m**4 - 3 + (-5*m**2 + 5*m**2 - 3*m**2)*(3 - 3 - 8*m**3).\nAnswer: 22*m**5 + m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1925)\/(-25)*(-350)\/490.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*r**3 - 5248*r**2 + 10553*r - 5338 = 0. What is r?\nAnswer: 1, 34\/33, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -766 = -71*b + 1398 + 3078 - 1053 for b.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the third derivative of -d**5\/12 + d**4\/4 + d**3\/3 + 6*d**2 + 7. Let k(w) = 9*w**2 - 11*w - 5. Let v(l) = -5*i(l) - 3*k(l). Determine v(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 + 2.2. Let b = 4 - 3.2. Let l = y + b. Which is smaller: 0.3 or l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*x - 5*x + 2*x**2)*(2*x - 2*x - x) - 2*x**3 + 0 + 0 + (5*x - 5*x + 5*x)*(-3*x**2 - 2*x**2 + 3*x**2).\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p = -3*w - 180, 5949747*p = -w + 5949743*p - 55 for w.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 33*z**2 - 2 + 1281*z + 1277*z - 5*z**4 - 3832*z + 1274*z + 2*z**3 as u + j*z**3 + x*z + f*z**4 + s*z**2 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0  (b) 1  (c) 25\/6  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from llllllllll. Give prob of picking 3 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**3 + 15*m**2 - 27*m + 6. Calculate o(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*s + 0*s + 11*s + 4*s in the form r + g*s and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-8))\/((-4)\/(-12)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*x - 6164 - 5194. Suppose x = -5*c + 4*h, 4*c + 378 = 3*c + h. Round c to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 184608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -209117, -835727, -1880077, -3342167, -5221997, -7519567?\n\"Answer: -208870*o**2 - 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1 + 1 + 2\/(-7). Let x = -7\/5 + 16\/15. Let g = 10 - 6. What is the closest to v in -4\/5, x, g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**3. Suppose -5*n + 3 = -57. Let w = n - 18. Let v(h) = 8*h**3 + 2*h**2 - h. Give w*a(r) + v(r).\nAnswer: 2*r**3 + 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.18889290615 - -4?\nAnswer: 5.18889290615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -6668452*g - 9796461 wrt g.\nAnswer: -6668452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*a + 50 = 32 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 207923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 89*u**2 + 2165*u - 47. Give d(-26).\nAnswer: 3827","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -187 + 455 + 16*z**2 - 268.\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d**3 + 2*d**2 - 3*d + 1. What is the tens digit of y(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 33255339*a**2*f**2*g**2*t**3 - 3*a**2*g**2 - 4*a**2*t**2 + 10*a*f*g**2*t**2 + 20*f**2 + 63*f - 3*g*t**2 wrt t.\nAnswer: 199532034*a**2*f**2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 151\/73851564 and -9\/4.\nAnswer: 73851564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8028 and 6.\nAnswer: 8028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -34 + 39. Let o(q) = 225*q - 226*q + 9*q**2 + 0*q**2 + u. What is the tens digit of o(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (699\/2)\/(36\/(-8) - -6).\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.0686 times -39\nAnswer: -2.6754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -216 - -557. Let d = 204 + -173. What is the greatest common factor of n and d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a = a - 12. Suppose -a = -5*x + 13. Solve -x*h = 2*w - 5, -2*h + 0 + 2 = -5*w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 0 = -4*t - 4, -v = 3*t - 9. What is the third derivative of 42*u**2 - 7*u**2 - 13*u**6 + t*u - 2*u wrt u?\nAnswer: -1560*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 113a26 (base 12) to base 3.\nAnswer: 112000220110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 24?  (a) 13\/6  (b) -0.01  (c) -1.4  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10138 - 7184. List the prime factors of q.\nAnswer: 2, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**2 + 13*v - 17. Let m be r(-15). Let y = -14 + m. Let x = 16 + y. What is the greatest common factor of 105 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes after 11:46 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1591)\/(-301) - (-21)\/98?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 22 + 11444?\nAnswer: 12021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: Let l(n) = n**3 - 8*n**2 + 10*n - 3. Let d be 3\/2 - ((-237)\/42 - 16\/(-14)). Give l(d).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1600.54 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7\/(-7))\/(3*63\/(-54)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**3 + 2*q**2 + 1. Let i(x) = -987*x**3 - 1692*x**2 - 846. What is 5*i(d) + 4230*l(d)?\nAnswer: -705*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -96.404 rounded to 1 decimal place?\nAnswer: -96.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1026 is divided by 31.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5091?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35347 is divided by 562.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*v + 4*v**3 + 0*v - 3 - 6*v**2 + 3 to the form r*v**2 + w + x*v + u*v**3 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 8\/20 - 39\/(-15). Suppose -5*o + 20 = -0*o. Suppose t*c - 1 = -o. Put -3, -2, c in ascending order.\nAnswer: -3, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*w - 25 = 3. Suppose -s = s + w. Let f = 7 + s. Solve -11 = -f*c - 36 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -699323, -1398722, -2098121, -2797520, -3496919, -4196318?\nAnswer: -4895717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*q - 3150 = 234*q for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 938\/(-17353) - 136\/222.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3215029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 856776?\nAnswer: 2, 3, 29, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/2)\/(23\/115).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 353?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-12)\/12 - (-3 - 0). Suppose -3*f = -p - 14, 2*f + p = 18 - y. Let q be ((-20)\/(-6))\/(f\/(-9)). Let b(z) = z**3 + 5*z**2 + 3*z + 7. Give b(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -52*t - 8076 + 63768. Calculate the highest common factor of t and 819.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3480, 6967, 10454, 13941, 17428, 20915?\nAnswer: 24402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:35 AM and 5:46 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (408564065\/(-1869) - 3) + (-2)\/2. Let o = -218605 - m. Let g = -2\/89 + o. Which is smaller: g or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1 - -66a?\nAnswer: 66b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*a + 3*h = 5*a + 535, -4*a = 2*h + 261 - 187 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -964 + 964. Suppose -3*r - 5*z - 3651 = -7*r, x = -2*r - 2*z + 1812. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -36 - -40. Suppose 8*u - d*u = 24. What is the third derivative of -5*r**u + 4*r**6 + 2*r**2 + 17*r**6 wrt r?\nAnswer: 1920*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34652?\nAnswer: 2, 8663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4*s**2*v**3 - 2*s**2*v - 34*s**2 wrt v?\nAnswer: -12*s**2*v**2 - 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -4662646 (base 9) to base 13\nAnswer: -6a3878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - p = -9 - 4, -5*p = -15. Let j(l) = -6*l**2 - 9*l**2 + 3*l**o. Let c(y) = -3*y. Determine c(j(f)).\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1829.7 - 1830. Let j = -20 + 34. Is u smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -4*b**4\/7 + 2112*b**3\/7 - 35332*b**2 - 8400048*b\/7 - 35550640\/7 = 0.\nAnswer: -23, -5, 278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -89.95 times 140.5?\nAnswer: -12637.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 84 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 559*x - 76. Let l be p(6). Suppose t + 3*j - 608 = 476, -3*t + 4*j = -l. What is t rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10.4246 + -2589\nAnswer: -2578.5754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 2, q: 6, a: 9}. Give prob of sequence aqaa.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0, -2, 0.5, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -16a5 + -9bc?\nAnswer: -2283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - (19 - 21)) + (-9 - 14 - 6)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**1*t*t)\/t)**33\/((t*t\/(((t\/(((t\/((t**(-6)\/t)\/t*t)*t)\/t*t)\/t))\/t)\/t))\/(t\/(t\/t**(-1\/5))*t*t)) assuming t is positive.\nAnswer: t**(449\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -20*(-13)\/(-104) - 1144195\/2. Round f to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**2 + 3*u - 7. Let h = 0 - -4. Suppose h*x = 3*y - 0*y + 15, -4*y = -3*x + 20. What is t(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 151206906 to the power of 1\/3, to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 6, m: 2, l: 5}. What is prob of sequence jjj?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k + 132800 = 14*k. What is k rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 826549.2m to nanometers.\nAnswer: 826549200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (130\/5655*3\/2)\/(-1).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from ttgttttg.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 25*r**3 - 60*r**2 - 3*r**4 + 45*r**3 + 65 - 4*r**4 - 2*r**4 - 70*r + 4*r**4.\nAnswer: -5*(r - 13)*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 225*q**2 + 9 + q + q**4 - 226*q**2 - 9 - 5*q**3 to d*q**3 + t + m*q**4 + f*q + v*q**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -130*a + 14999 + 10844 - 883. Calculate the remainder when a is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*c + 39756 = -0*c. List the prime factors of c.\nAnswer: 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6 at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 93*s + 57*s + 286 + 464 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -5 + (18 - 16) - -52 - (0 - 2)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -40 - -40. Suppose -3*q = k - 12, 2*q - q - k = t. Suppose -q*r + 61 = 4. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*z - 33 + 63 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the second derivative of -5*t**4\/12 - 5*t**3\/6 + t. Suppose -6*z - 3 = 21. Let g(j) = -6*j**2 - 6*j. Determine z*g(b) + 5*w(b).\nAnswer: -b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*y + 13*y + 347. List the prime factors of y.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*4*(((sqrt(171) + ((sqrt(171) - (sqrt(171) - 2*sqrt(171)))*1 + sqrt(171) - sqrt(171)) - (sqrt(171)*-1 + 5 - sqrt(171)))*3*6)**2 + -5).\nAnswer: -33436680 + 1166400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*25\/40*2\/5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 545217265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -488*a = -598*a + 484220. Is a a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-132) - (-8)\/48.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.3, 4\/5, -6\/11, -2\/5, 0.3, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, 2\/7, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -392 + 382. Let f be 2 + (-14)\/p + 20\/(-50). Solve -4\/3*u**f + 2\/3*u**5 + 2\/3*u**4 + 0*u + 0 + 0*u**2 = 0 for u.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -161 * 0.07\nAnswer: -11.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0\/(3*(-3)\/(-9)). Let g be (1 + 1 + -6)*(-1)\/(-2). Sort -1, g, z.\nAnswer: g, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4.3 + 7. Let p = r - -0.3. Let u = -0.3 + 0. Sort p, -2, u.\nAnswer: -2, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 w when two letters picked without replacement from urbvuww?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:16 AM and 3:08 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 138 by -69.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i**2 - i + 70. Calculate the remainder when a(0) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4970.6567 + 4977.1082542. Let q = o - -0.1489558. Let j = 6.6 - q. Round j to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8058 - 8051. Solve 21*q = a*q - 14 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -71, -7, -1, 8 in decreasing order.\nAnswer: 8, -1, -4, -7, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -4*t, -5*r + 3*t + 212 - 181 = 0. Solve 4*q + 3*f + 197 = 193, -r*q = -f + 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -2*v**4 - v**3 - 5*v**2 - 6*v + 6. Let f(j) = 3*j**4 + j**3 + 10*j**2 + 12*j - 10. Let k(z) = -3*f(z) - 5*r(z). Factor k(g).\nAnswer: g*(g - 2)*(g + 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3687.5 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.061355533 rounded to three dps?\nAnswer: 4.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the first derivative of -43 + 19 + 3*a + a**2 - 2*a**2. Suppose 5*h - 20 = -5. Give v(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 439240565 to the nearest integer?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**2\/15 + 3156*p\/5 - 18896\/3.\nAnswer: -2*(p - 4724)*(p - 10)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 32884830 divided by 295\nAnswer: 111474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*c - 42 + 72 = 0. Suppose -5*i + 24 = -v, 2*v = 5*i - c*v - 36. Solve -i*q = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 18 - 10 - 7 - 1 - 2*t.\nAnswer: -2*t - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -4*y**2 - 30*y + 61. What is i(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f - 3. Calculate z(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 3 = -2*x - 1, 4*x + 5*t = 36. Which is greater: 11\/4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - (-13 - -2)) + -1225 + 1258.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(-1\/4)*f)\/(f*f*f*f**(-3)))\/(f*f**(-1)*(f*f*(f\/f**3)\/f)\/f)*((f**1)**(-2\/7))**(-6\/7) assuming f is positive.\nAnswer: f**(783\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001216114 rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (102740\/107877)\/(5\/(-12)).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5.66307 - -5.639. What is g rounded to three dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a - a + 16. Suppose -t = 4*t. What is the third derivative of 0*i**2 + t*i**2 - 2*i**6 + 2*i**2 + a*i**6 wrt i?\nAnswer: 240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 7627 + 54?\nAnswer: 7680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.2  (b) -0.4  (c) 10512  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.3, -1\/9, 1\/13?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 30882835 to the power of 1\/3, to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 16447283?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 119 or 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -16 - -38. Suppose 0*a - 14 = -a. Suppose 2*c = -2 + a. Calculate the smallest common multiple of g and c.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.184 and -35.1?\nAnswer: 34.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.4100191 to 2 decimal places.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 4*r + 4 - 2 = 0, -5*o - 5*r + 25 = 0. Suppose -o*b + 45 = -b - 4*w, -w = 5*b - 20. Which is smaller: b or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c + 88. Calculate f(71).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 62 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -9*w + 45. Let o be u(21). Let z = o - -154. Let d = -14 - -34. What is the highest common factor of d and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 10\/6 + 4\/12. Suppose -o + c + 2 = 0. Suppose -o*d - 3*u = -8*u - 72, 131 = 5*d + 4*u. What is the remainder when 68 is divided by d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**2 + 12*q + 11. Let a be t(-11). Let o be (-1 - 1) + 2 - -3. Suppose -7*l + o*l = a. Sort l, 4, 3 in ascending order.\nAnswer: l, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2033162 and 4?\nAnswer: 4066324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 54 + -50. What is the nearest to 5 in -0.5, -4\/7, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3, -19, -69, -159, -301?\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 4*b - 1. Suppose 3*q - 20 = -q. Suppose 3*l = 5*t + 25, -l = q*t + 2*l - 5. Let o = 0 + -7. Let f(y) = -13*y + 4. Give o*g(s) + t*f(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is u in -3*u**3 + 1089*u**2 + 2187*u + 1095 = 0?\nAnswer: -1, 365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 9*c - 4. Suppose 0 = 3*o - 16 + 4. Is z(o) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*x**2 + 14*x**2 - 42*x**2 + (-3*x + 4*x + x)*(-2*x - 3*x + 7*x) - 20*x**2 - 62*x + 62*x.\nAnswer: -49*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 47 + 2827. What are the prime factors of q?\nAnswer: 2, 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -28756\nAnswer: 1\/28756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3315161857?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/3)\/((-30)\/45)*-6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -0.03  (b) -2\/3677  (c) -3  (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d - 14 - 6. Calculate the remainder when 77\/d + (-2)\/5 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p - 1. Let w(b) = -b + 2. Let j(l) = -2*l + 3. Let a(c) = 3*j(c) - 5*w(c). Let i be (2\/4)\/((-1)\/2). Calculate i*o(m) - a(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 222773746 to the nearest integer?\nAnswer: 14926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that 4*n**3\/9 + 69145202*n**2\/9 + 33201800251400*n + 16600898205000 = 0.\nAnswer: -8643150, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*d**4\/5 - 8*d**3 + 220*d**2 + 1200*d - 18000 = 0. What is d?\nAnswer: -15, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 22, 56, 116, 214, 362?\nAnswer: 572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**3\/v*v*v*v**(-8\/3)*(v\/(v*(v**3\/v)\/v))**(-1\/15) assuming v is positive.\nAnswer: v**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 88202 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11470190.\nAnswer: 2, 5, 59, 19441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 + -11101111?\nAnswer: -11110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 102 a factor of 69655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13985, -27964, -41943, -55922, -69901?\nAnswer: -83880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (5 - 5) + -2 - (1 + 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -8507, -8508, -8509, -8510, -8511, -8512?\n\"Answer: -r - 8506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t + 82. What is a(-32)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14 + 64*a - 61*a - 274 + 54 - 68.\nAnswer: 3*a - 302","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 119*w**2 - 286*w - 1533. Determine p(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*v - 60 - 76 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*((sqrt(1331) + 1 - sqrt(1331)) + -1)**2 - (3 + sqrt(1331)*1 + 0)) + 1.\nAnswer: -11*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(3200) + ((sqrt(3200) + 1 + sqrt(3200))*-6)**2 + sqrt(3200).\nAnswer: 5840*sqrt(2) + 460836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1843 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -63\/20 and -9\/512.\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8573 - -8528. Let x = -2 + -3. What is the second smallest value in x, f, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -272, -2, 5 in descending order.\nAnswer: 5, -2, -272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8, -98, -342, -818, -1604, -2778?\nAnswer: -4418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 23\/7 + (-4)\/14. Let t(w) = 1 - 3 - w**2 - w**3 + w + 0*w**u. Let v be 2*-2 + (-14)\/6*330\/(-385). Calculate t(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2 and -194723?\nAnswer: 389446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(6\/(-3)))\/(-2)*728\/14?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/420*22 + (-147)\/(-343).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*i**4 - 43*i**3 - i**2 + 14 wrt i.\nAnswer: -144*i - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 207.258 + -207. Let r = s + -0.058. Let n = r - 6.2. Sort n, -0.1, 0 in descending order.\nAnswer: 0, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1675, 6826, 15373, 27310, 42631, 61330, 83401?\n\"Answer: -t**3 + 1704*t**2 + 46*t - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 3*r**3 - 4*r**2 + 4*r - 4. Let o(d) = -28*d + 525. Let j be o(19). Suppose 4*h = 3*h + 4. Let z(s) = 5*s**3 - 7*s**2 + 7*s - 7. Give h*z(x) + j*m(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((0\/5)\/(-4) + -1)\/1. Let u(n) = n. Let r(h) = 6*h + 0 - h - 1. What is z*r(l) + 3*u(l)?\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(1\/2))**3*(w\/(w\/(w*w**(1\/2))*w)*w)\/w**(3\/7) assuming w is positive.\nAnswer: w**(39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**2 + 3*h + 8. Let i be z(4). What is the third smallest value in -0.6, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2774486 or 2774307?\nAnswer: 2774307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36839 is divided by 36724?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Expand (o + o**2 - o)*(14 - 14 + 10*o) + (2*o + 0 + 0)*(-3*o**2 + 2*o**2 + 0*o**2).\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.014 - 8.414. Let g = -8 - s. What is the nearest to 0 in g, 0.5, 7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 424692 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve r - 3*y = -2, 117*r + 26 = 116*r - 5*y for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -52, -60, -72, -88?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/3894 and 13\/363?\nAnswer: 42834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 6468469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -3*q**3 - 4*q**2 - 51*q + 14. List the prime factors of x(-18).\nAnswer: 2, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -2*b**3 - 11*b**2 - 13*b + 5. Let c(j) = -j**3 - 5*j**2 - 6*j + 2. What is 9*c(o) - 4*d(o)?\nAnswer: -o**3 - o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 2473 = -2356. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 62 - 42. Suppose 5*r + k = -50. Let b(h) = h**3 + 13*h**2 - 14*h. Let l be b(r). Solve -5*z + 3 = 4*o, -3*o - 2*o + 5*z + 15 = l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*j**4\/9 - 2252*j**3\/3 - 9016*j**2\/3 - 27056*j\/9 = 0. Calculate j.\nAnswer: -2, 0, 3382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 15\/7  (b) 0.4  (c) -6\/11  (d) -0.4  (e) -7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, w: 2, b: 4}. What is prob of picking 1 g and 2 b?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -19 + 35. Suppose -h - 2*h - 162 = -5*k, 5*k + 3*h = 138. What is the remainder when k is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 18780869?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -11, -27088, 6\/13, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-5 + (-3*sqrt(1872))**2 + sqrt(1872))*5.\nAnswer: -505290 - 360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x - 7. Let m be l(-9). Suppose n = -0*n. Suppose 2*o - 8 = -4*r, 0 = -3*r + 4*o + 8 - 2. Solve n = r*b + m*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 27*o**2 - 5*o + 218. Does 90 divide t(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 65 a factor of 31265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 414 is divided by 105.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -379692, -379696, -379700?\n\"Answer: -4*w - 379688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -12389 and -0.1?\nAnswer: 1238.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 671  (b) -1  (c) 0.051  (d) -0.38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 495\/60*32\/6. Let s = 303 - x. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1206 - -274?\nAnswer: -f92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 148803405?\nAnswer: 3, 5, 1753, 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0097 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -14\/122235 and -50\/1246797.\nAnswer: 6233985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12 by -2486.\nAnswer: -6\/1243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30409 is divided by 15068.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5546\/(-10) + 99\/165. Let b = 606 + w. What is the remainder when b is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11877 and 222?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 20021000012011 (base 3) to base 5\nAnswer: 1322422231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -232*g**2. Let l(y) = 2228*y**2 - 2*y. Determine l(v(z)).\nAnswer: 119919872*z**4 + 464*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 39150, 39146, 39142, 39138, 39134?\n\"Answer: -4*i + 39154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 513.034 - 487. Let k = 25.56 + 0.44. Let p = k - a. What is p rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -115 (base 6) to base 8.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 2*f - 2. Let o be m(2). Let a(b) = 4 - 3*b**2 + 2*b**2 - 5*b + 23*b**2 - 8*b**2. Is a(o) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17488, 17489, 17490?\nAnswer: 17491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5 + 0. Let x = 192 + -1342\/7. What is the closest to x in -4, -1\/7, z?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -13*x**2 + 159*x - 654. Let q(o) = 24*o**2 - 326*o + 1308. Let f(c) = 13*i(c) + 7*q(c). Solve f(u) = 0 for u.\nAnswer: -218, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1389119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*p**2 - 3*p**2 - 2*p**2)*(-2*p**2 + p**2 + 0*p**2) + 4*p**4 - 6*p**4 - 14*p**3 - 4*p**3 in the form s + v*p + a*p**4 + u*p**2 + h*p**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -152*-0.05\nAnswer: 7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -47*y + 91 + 62. Let l(a) = -2*a + 3. Calculate l(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -52*a**2*q**4 + 9066*a**2*q**2*t**2 - 4*a**2*q**2 + 3*a**2*t - 533404*a*q**3*t**2 + 34*a*q**2*t wrt q.\nAnswer: -1248*a**2*q - 3200424*a*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/36 + 3\/(-12) and -26\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1770 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n**2 + n + 2*n - 2 - 6*n + 4*n. Does 27 divide d(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -266 - -127. Let a = 141 + m. Let b(f) = 4*f + 2. Calculate b(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 80843e (base 15) to base 3.\nAnswer: 102111001200112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.4 + 1.6. Let m = -95\/4 - -24. Let o be 8\/(-180)*-93 - 4. Which is the second biggest value?  (a) m  (b) o  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d. Let t(q) be the second derivative of q**3 - 12*q. Let j(f) = 4*i(f) + t(f). Let s(g) = 77*g**2 + 69*g**2 - 134*g**2. Calculate j(s(v)).\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -22*z - 98 + 17*z + 7*z. Let c(f) = -4. Let x(w) = -4*c(w) + s(w). What is the derivative of x(i) wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 + (2 - -26 - 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*c - 2736 = -37*c. Let m be ((-304)\/96)\/((-2)\/12). Calculate the highest common divisor of m and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1559*c**2 - 2258*c.\nAnswer: 3118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3153841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -16, 57, 138, 233, 348?\n\"Answer: f**3 - 2*f**2 + 72*f - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 1, o: 2, x: 5, h: 2, t: 1, v: 6}. Give prob of picking 1 o, 1 t, 1 v, and 1 j.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 434211 (base 7) to base 11.\nAnswer: 52039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 539134752 divided by 32?\nAnswer: 16847961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 799517393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.037299 rounded to four decimal places?\nAnswer: -0.0373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 + 0. Let m = -15 - -18. Factor 14*l - l**x + 4*l**2 + 12*l**4 + 22*l + 12 - 36*l**m.\nAnswer: 3*(l - 2)**2*(2*l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 7 = 3*y, 2*z - 4*z - 2*y + 10 = 0. What is the remainder when -2 - ((-4)\/10)\/(z\/40) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*t - 81365489 = -17041489. What is t rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -b - 5*t, 3*t + 1 = -4*b - 6. Let h(s) = -s**2. Calculate h(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**2 + 3*r. Let j be o(3). Suppose -f = -3*i - 18 + 4, f - i - 8 = j. Calculate the remainder when 17 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes after 4:46 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 263669445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-6 - -1) + -5 - -5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-220)\/(-115) - 2) + 0\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 62, 26, -150, -496, -1042, -1818, -2854, -4180?\nAnswer: -5826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 461 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 494*-0.17799.\nAnswer: -87.92706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25506.74ml to litres.\nAnswer: 25.50674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**2 + 2102532*w + 6307578.\nAnswer: 2*(w + 3)*(w + 1051263)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 189998.8 nanometers?\nAnswer: 189.9988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (7 - 3) + 2 + 0. Let p(w) = w**2 - 3*w + 1. Let m be p(1). Let q = m + 1. Solve g*v + 3*a - 21 = 2*v, v - a = q for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 24169925.3 to the nearest 10000.\nAnswer: 24170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 169 from -0.51408.\nAnswer: -169.51408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -72404, -288743, -649306, -1154093?\nAnswer: -1803104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -1346723 greater than or equal to -1346722?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -57*w + 58*w - 10. Let q(a) = -a**2 + 8*a + 24. Let u be q(w). Solve -3*k - k = -u for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15*j - 4*j - 44*j - 36*j to o + k*j and give k.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 4*c + 14 = -c, 0 = 3*c - 15. What is the highest common divisor of 14 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 = -6*w - 41. Let k(l) = l**3 + 12*l**2 - 2*l - 3. Let n be k(w). Let a = -17 + n. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of (-150)\/(-90) + (-1754)\/(-12)*20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1046 - -1028) + 1 + 19.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2*y - 1)*((-1 + 2 + 0)*(3 + 2 - 4) + 2 + 4 + 3).\nAnswer: -20*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -419884.449 to the nearest one thousand.\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*c - 17 + 28865. Let p = c - 1331. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -265*p**3 - 3 + 2 + p**2 + 148*p**3 - 381*p**3 - p. Is g(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3253, -12952, -29095, -51664, -80641, -116008?\nAnswer: -157747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(3 + ((4*(sqrt(75) + -2) - sqrt(75)) + (sqrt(75)*2 + 0 - sqrt(75)) + -2 + 1)*-2))**2.\nAnswer: -15120*sqrt(3) + 47169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -538 - -856. Suppose 4*w - 3166 - s = 0. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**2 + 2*n - 56. Let h be a(0). Let i = 169\/3 + h. Let j = 430\/187 + -24\/11. Sort -0.3, j, i in decreasing order.\nAnswer: i, j, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 8) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 292 = 399*q - 411*q - 116 for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 + 0 - 25 - 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (0 + (-2 - (-2 + -1)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 7*h**2 - h + 4. Let w be b(0). Solve j + z = 2 + 2, w*j = 5*z + 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 624650 is divided by 185?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*w**2 + 2*w**2 + w**2)*(-2 + 10*w + 2)*(0*w - 4*w - w).\nAnswer: 100*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3\/(-2))\/(9\/(-30)). What is the second derivative of -5*n**5 + 24*n**3 + n**t - 24*n**3 + 3*n wrt n?\nAnswer: -80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + (-2 + 1 - -3) + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1306 - 1306.001024. Round p to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -989, 11, -3, -6, -404 in decreasing order.\nAnswer: 11, -3, -5, -6, -404, -989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 6*x - 1. Let m = -15 - -15. Let t be i(m). Which is smaller: t or -1\/1005?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.101 rounded to 1 dp?\nAnswer: -12.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2 - (0 + 25))*-1. Solve n = -5*u + v, -1 = 3*u - 3*v + 8 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 504\/(-35)*(-40)\/48\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/924 and -5\/27216.\nAnswer: 299376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + z + 1)*(2 - 2 + 4*z**2) - 1 + 1 - z**3 + (2*z**3 - 2*z**3 + z**3)*(-3 - 2 + 4).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 57 divide 29768320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2259479, 2259480, 2259481, 2259482, 2259483, 2259484?\nAnswer: 2259485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 188072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 79523 is divided by 269?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the first derivative of 2*u**3\/3 - 2*u + 24. Find n, given that x(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 236.81 * -372\nAnswer: -88093.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -1540 divided by -20\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6.8365573 + 973.1168673. Let g = h - 964.08. Let s = g + -2.2. What is s rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-5)\/15 + (-230)\/(-15). List the prime factors of 3\/(d\/(-54)*2\/(-35)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -177*w - 23352 = -189*w. Suppose 2*d = 10, -2*d = 4*l - w + 544. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -78.8 and 0.2.\nAnswer: -15.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3552 and 235912?\nAnswer: 2830944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1174, -2443, -3712?\nAnswer: -4981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -8*q**2 + q - 2. Let m(s) = 15*s**2 - 3*s + 3. Let b(t) = -t**3 - 17*t**2 + 64*t + 76. Let u be b(-20). What is u*m(a) - 7*g(a)?\nAnswer: -4*a**2 + 5*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -0.2, 122, 6\/5, 0.18 in increasing order.\nAnswer: -0.2, 0.18, 6\/5, 5, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 154*c**4*n**3 - 120*c**4 - 15*c**3*n**3 + 3*c**2 + 5903*n**3 - 16 wrt c.\nAnswer: 3696*c*n**3 - 2880*c - 90*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5972 divided by -4.\nAnswer: 1493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 174563 - 87492. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 4*b - 407868 = 0, 3*r + 4*b - 128915 - 176972 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i - 6 = o, 4*o + 2*i + 273 = 259 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 31.9995 - 30.9. Let z = 2.4 + -1.3. Let o = x - z. Round o to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -11*z + 115. Let j(a) = -a**2 - 7*a - 6. Let q(f) = f**2 - 6*f + 1. Let i be q(5). What is the lowest common multiple of z and j(i)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -2445531574847 and 0.41?\nAnswer: 2445531574847.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 3*g + 7. Let z be q(-1). Suppose -6 = 3*v + 4*j, -z = 2*v + 3*j - 5*j. Which is the second biggest value?  (a) v  (b) 2\/5  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -7*y**2 + 38*y + 11. Let j(o) = 2*o**2 - o - 3. Calculate 3*j(k) + r(k).\nAnswer: -k**2 + 35*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 57 + -56.87. Let q = h - 33.13. What is the fourth smallest value in 2\/3, q, -1\/3, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -d + 5*o, 2*d - 5*o + 3*o = 22. Suppose 10*v + 315 = d*v. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*u - 34*u + 180 = 23*p, -6*p - 11*p + 2*u + 28 = -13*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 26*j**4*k - 71*j**3*k - j*k - 74*j + k + 3 wrt j?\nAnswer: 312*j**2*k - 426*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.82546 kilometers in nanometers?\nAnswer: 10825460000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {x: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 9*n + n**2 - 21*n + 3 + 12*n - n**3 + 3*n. Determine w(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18\/30 + (-96)\/60.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 301 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -7  (b) -451715  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -2*r + 22, h = 2*r - 7*r + 49. What is the remainder when r is divided by ((-2)\/21)\/((-120)\/2520)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1 - 0) + 3 + 7. Suppose 22 = -2*r - 5*n, r + 4*n + v = -8. Is 1 + 11 + r + 3 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the second derivative of 2*r**3\/3 + 3*r**2 + 6*r. Let d(x) = x + 1. Let j(k) = 6*d(k) - o(k). Let s(a) = -7 + 2*a + 7. Give j(s(q)).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2403197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -206 (base 10) in base 8?\nAnswer: -316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -11 + 16. Suppose -5*r = 5*s + 19 - 4, 0 = 5*r - s - 15. Find the second derivative of p**5 + 4*p - o*p + r*p wrt p.\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -941*x**3 - 939*x**3 + 1881*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 96955531 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 2189 * -2\nAnswer: -4378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6139\/6 - 153443\/150. Are 1 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:09 PM and 2:09 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3644*d**2 + 346 + 86 - 3645*d**2.\nAnswer: -d**2 + 432","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -5*(4\/10 + -1). Is -2 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1, 3, 163.\nAnswer: -4, -1, 3, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3688*p**2 - 7858*p?\nAnswer: 7376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*i**3\/9 + 66298*i**2\/9 + 14732*i = 0. Calculate i.\nAnswer: -33147, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 195 and 31655?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -2*s**2\/7 + 3161636*s\/7 - 1249492774562\/7 = 0.\nAnswer: 790409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 68710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 + 0.4. Let p = -1.1 - g. Do 1 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 - 18) + 5 - (-20 - -14) - -13?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 8*z**2 + 2404*z**3 + 20*z + 6*z**2 + 27 - 2403*z**3. What is r(-12)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70 = 35*x - 45*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(190)\/sqrt(40) + (sqrt(931) - 1*sqrt(931)) - (-4*sqrt(133)*1)\/sqrt(7).\nAnswer: 9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*n**2 + 11*n**2 + 111*n**3.\nAnswer: 111*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -43*a**2 + 11*a + 2. Let c(z) = -44*z**2 + 13*z + 3. What is -5*c(q) + 6*l(q)?\nAnswer: -38*q**2 + q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(14)\/sqrt(2)*3 + (sqrt(7) - (sqrt(14)\/sqrt(2) + -2)) + sqrt(700) + -1 + sqrt(700) + 1.\nAnswer: 2 + 23*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -1\/4  (b) 0.2  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1b932b (base 13) to base 8.\nAnswer: 2542365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-19)*y)\/y**11 assuming y is positive.\nAnswer: y**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (66\/(-18))\/11*1*2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7\/(-1071)*59\/(1947\/(-297))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**3 - l**2 - l + 1. Let v(d) = -8*d**3 + 7*d**2 + 7*d - 12. Let w(z) = 14*n(z) + 2*v(z). Differentiate w(q) with respect to q.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/c**(-3\/4))**20)**(-23))**12 assuming c is positive.\nAnswer: c**(-9660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 2 - -1 - (-61 + 61)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1059332 by -5.\nAnswer: 1059332\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:07 PM and 12:52 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-128)\/((-256)\/(-16)) - (-117)\/15.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2.3 + -0.3. Suppose 0 = 23*g - 41 - 28. Which is the fourth smallest value?  (a) 1\/2  (b) u  (c) g  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o\/o**7*o*o**(-3\/10) assuming o is positive.\nAnswer: o**(-53\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2*1\/(-19) - 2304\/(-228). Suppose 12 = g*n + 12. Solve n = 7*j - 2*j + 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 675\/45 - ((-10)\/4)\/(44\/(-154))?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2 - (-2 - (0 + -4)). Which is smaller: 4\/9 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (1 - -3) + -251 + 314.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(3\/4))\/((q**(2\/15)*q*q)\/q))\/(q**(-1)\/q)**31*(q**(-2\/3)*q*q*q**6\/q)\/(q**(-1))**(-19) assuming q is positive.\nAnswer: q**(999\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-3)\/42*-8)\/((-37)\/259). Put -16, -2, 25, y in decreasing order.\nAnswer: 25, -2, y, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4\/(-6) - 28\/(-6) - -86.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -109\/180 and -25\/4896.\nAnswer: 24480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -4293, -4321, -4351, -4383, -4417?\n\"Answer: -j**2 - 25*j - 4267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 5*m**4 + 2170*m**3 + 184860*m**2 - 11133640*m + 90630400 = 0.\nAnswer: -238, 10, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -36.3 + 54.86. Let p = w - 12.8. What is p rounded to 1 decimal place?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the first derivative of v**3\/6 + 3*v**2 - 49*v + 5. Let i(s) be the first derivative of l(s). Determine i(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cbobttbccbl. Give prob of picking 1 l and 3 c.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h + 2 - 6. Factor 1\/4*f**h + 1\/4 + 1\/2*f.\nAnswer: (f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -29 + 63. Suppose -j + 2 = t - 6, -3*j - 5*t + n = 0. Suppose 0*f = j*f - 474. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 639209362 a multiple of 6413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x = -3*z + 84, 12*z - 488 + 440 = 2*x + 18*z for x.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2663868 and 154?\nAnswer: 205117836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*h + 74*h - 13*h - 500 = 0. Solve -2*i - h*o = -10*o + 16, -4*i - 3*o - 6 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.2111, 1\/2, -1\/3, -9, 2\/17, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 685, 827, 981, 1147?\nAnswer: 1325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 46 + (-6 - -4 - -3). Let l = -44 + s. Suppose 0 = -5*n + l*n + 100. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 - 4. Let x = 28 - 40. Let r = -11.6 - x. Which is the closest to n?  (a) 0.2  (b) 0.3  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 3*y - 3. Let o(k) = -k**3 - 7*k**2 - 7*k + 1. Let q be o(-6). Let x be (8\/(-28))\/((-1)\/q). Calculate n(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-3*sqrt(33) + (1*sqrt(297))\/sqrt(9))\/(3*(sqrt(704) + sqrt(704)*2)*3).\nAnswer: 7*sqrt(3)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -4*l + 26. Let i be z(8). Which is the nearest to i?  (a) -4  (b) -3\/4  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 753828 and -0.2?\nAnswer: -150765.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 51\/561 - 553\/1001?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ahhhahahah. Give prob of picking 2 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*a**3 + 48*a**2 - 20*a - 264.\nAnswer: -4*(a - 11)*(a - 3)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2890 + -111. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - d - 1 + 4 = 0, -3*d = 3. Suppose 12 = 4*t, -i*a + 5*a = -3*t + 27. Let p be (-145)\/(-7) + a\/21. Solve 3*w - g - p = -4*g, 5*g + 15 = 5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qoyn when four letters picked without replacement from {h: 1, d: 3, n: 5, o: 1, q: 1, y: 1}?\nAnswer: 1\/2376","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-442)\/(-9282) + ((-628)\/(-462))\/2\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 5 = -s + 2, 0 = -v - 5*s + 17. Suppose 17 = 2*i + 5*g - 16, -v*i + 4*g = -6. Solve 0 = -x - 4*o - 13, -x + 2 = o + i for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1444\/57)\/(8\/(-42))\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 4*q**2. Suppose -3*s - 4 = -10. Let r(l) = s*l - 5 + 5. What is r(p(c))?\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 207720?\nAnswer: 2, 3, 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -36.97 to the nearest integer.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2262*l**2*q*t + 5*l*q*t - 57*l*t - 2*q*t wrt l.\nAnswer: 4524*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1478 - 1022 = 125*j. Which is the closest to 0?  (a) 0.3  (b) 4\/5  (c) -3\/5  (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 34?  (a) -0.4  (b) 3  (c) -6\/5  (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 3*a = 6, 5*m + a - 12 = m. Suppose -11 = w - m*w + b, -3*w = 5*b - 25. Let q(h) = 6*h + 25. List the prime factors of q(w).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1d4 (base 14) in base 12?\nAnswer: -27a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -9*u**3 + 57*u**2 - 1 - 55*u**2 + 23*u**3. Let n be s(1). Is (76\/12)\/1*n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2631130 + -562495. Let l be ((-3)\/(-23295))\/(66\/g). Let n = 14\/1553 + l. Find the common denominator of n and -27\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*u + 1558 - 2*u**3 - 1556 + 3*u**3 to the form m*u**3 + l + j*u**2 + h*u and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4936.1 - 4936. Let n = -21 - -20. Let f = 3.6 + -0.6. What is the closest to -4 in n, s, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 2*w + 30 = 89, 2*t = -4*w + 42. Suppose 0 = 11*j - t*j + 960. Suppose h + 75 = 6*h. Calculate the greatest common factor of h and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -1\/4949?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**2 + 72*n - 517. Let m be i(8). Which is the second biggest value?  (a) 2\/113  (b) 2\/9  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 275 is divided by 134.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -13 + 28. Does 13 divide ((-114)\/b)\/((-2)\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -89\/12939085?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7 + 16. Let u = j + -9.1. Let x be -1*(12\/4)\/(-21). Which is the nearest to 0.1?  (a) 0.2  (b) x  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 2*o**2 + 13*o - 16. Determine u(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v + 0*v - 20 = -4*b, 10 = 2*b for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = -30 + 570. Suppose 504 = 44*v + c. Suppose -4*o + 8 = -4. Solve -l - f + v = f, o*f = 12 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*m**3\/21 - 12*m**2\/7 - 22*m\/3 - 40\/7 = 0. What is m?\nAnswer: -12, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -42 + 15. Let f(t) = 7*t**2 + 4*t + 4. Let o(l) = -13*l**2 - 9*l - 9. Let r(i) = j*f(i) - 4*o(i). Let x(k) = 3*k + 3*k - 5*k. What is x(r(n))?\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes after 9:42 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(44)*-2 - sqrt(44)) + sqrt(44) + -1 + sqrt(44).\nAnswer: -2*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 27*g - 109. Suppose 5*v + 9 = -6, 226 = g*r - 2*v. Calculate the greatest common divisor of r and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*a**4*f - 74672*a**4 + 38*a**3*f - 654122*a**2*f - a**2 + 77*f wrt a?\nAnswer: 48*a*f - 1792128*a + 228*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -280 = -2*u - 5*h - 475, 2*u - 5*h + 31 = -6*h for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 3*y**3 - 4. Let a = -4 + 16. Let p(o) = -o**2 + 13*o - 9. Let j be p(a). Let b(v) = -v**3 + 2. Let i(c) = j*w(c) + 5*b(c). Differentiate i(n) wrt n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 223 = 65. Let t = 83 + a. Let o = t - -98. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 395778530?\nAnswer: 2, 5, 7, 17, 103, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -13 + (228 - 227)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.0174115 to 1 dp.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d**(12\/11))\/d)\/d*d\/d**(2\/15))**(-3\/7)\/((d**(-1\/4)*d)\/((d**(-8)*d)\/d*d)*d**4*d\/d**3) assuming d is positive.\nAnswer: d**(-15647\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 247 - -477. Suppose 5*w + 134 - z = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the first derivative of -j**3 - j**2 + 6*j - 2024. Let r(g) = g**3 - 10*g**2 - 7*g + 19. Calculate 7*d(c) - 2*r(c).\nAnswer: -2*c**3 - c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*o = 32*o - 28 - 192 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1200 + -710. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:24 AM and 7:22 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.05 - 0.55. What is the biggest value in l, 4, -2\/21?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 3592080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g - 3. Suppose -2*x - 2*x = -24. Let h be i(x). Suppose -2*c = c + d, 0 = h*c + 5*d. Put c, -4\/5, -2 in increasing order.\nAnswer: -2, -4\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the first derivative of s**6\/24 - s**5\/15 - 10*s**2 + 40. Let v(h) be the second derivative of j(h). Factor v(t).\nAnswer: t**2*(5*t - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y*y\/y**(17\/3)))**22 assuming y is positive.\nAnswer: y**(308\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(45)\/(4*sqrt(9)) + sqrt(320)*-6 + sqrt(5))**2 + 0 + (-4 + (sqrt(5) - sqrt(20)\/sqrt(4)) + -3)**2)*3.\nAnswer: 526887\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 28142631*b**2*v*y**3 + 3*b**2*y**3 + 69506*b**2*y**2 + 2*v*y**3 - 16*y**2 wrt v.\nAnswer: 28142631*b**2*y**3 + 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 54\/46709 and 67\/6.\nAnswer: 280254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.2 < 603?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 64 - 80871\/1260 - 4\/48\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3 + (1 - 3) + 1 + 9. Let w = l + -17. Let i(n) = -2*n + 1. Let d(k) = -6*k - 7. Let a(m) = d(m) - 2*i(m). Calculate a(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6798733 by 17.\nAnswer: 6798733\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*((-16146)\/(-1170))\/((3\/(-5))\/(-1)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0 + -3 - 9 - (-948)\/78. Factor -6\/13*l + 2\/13 - k*l**3 + 6\/13*l**2.\nAnswer: -2*(l - 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-2*sqrt(78) - sqrt(78)) - 3*(sqrt(78) - (sqrt(78) + (sqrt(78) - 2*sqrt(78)))))\/((3*sqrt(864) - sqrt(864)) + sqrt(24)) + -1.\nAnswer: -1 + 9*sqrt(13)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:33 AM and 7:24 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-18)\/(-10) - 2) + (-1392)\/(-10). Let i = -92 + g. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kxkxxxxxxr. What is prob of sequence xkrx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 175\/(-49) + 3\/(-7). What is the fourth biggest value in u, 9, -0.3, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5b6c (base 13) to base 15.\nAnswer: 3c74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 36*t - 2*t**2 - 4*t - 30 - 33*t + t**4 in the form s*t**2 + z*t**4 + f*t + x*t**3 + j and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2763\/4 - -688. Calculate the common denominator of r and 85\/734.\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 105171625 divided by 1618025\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 515423 divided by 4?\nAnswer: 515423\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 4 = -4*t. Let a(r) = -7*r + 5. Give a(t).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 18889150 to the nearest integer?\nAnswer: 4346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-561)\/(-55) - (20 + -9) - (-179)\/5. Solve 24 = -g*r - 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 73 - 40. What are the prime factors of n?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3480 is divided by 1397.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + 0 + 3*f - f + 2 - 3*f - 2 + (3 - 3 + f)*(-4 + 4 - 2) - 1 - 2*f + 1.\nAnswer: -5*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -105727653*z**2 + 461*z + 95549 wrt z?\nAnswer: -211455306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -883, -3575, -8063, -14347?\nAnswer: -22427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1426 by -46.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/7 + (-1213)\/154. Let b = -208\/11 + v. Let s = -671 + 6703\/10. What is the common denominator of b and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-2)\/6)\/(3\/(-18)). Let j(x) = 5*x - 3. List the prime factors of j(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1585972 is divided by 564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/(-10) + 6\/(-10). Let j = -1 - w. Let h(z) be the first derivative of z**2\/2 - 6*z + 925. Determine h(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.52125 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 144*p + 42. Let u(f) = -17*f - 5. Let v(h) = 42*u(h) + 5*x(h). Let n be 6\/9 - 8\/(-6). Let s(c) = -2*c - c - n*c. Determine v(s(w)).\nAnswer: -30*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, -2\/17, 3\/4, -209, 2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the third derivative of -17*h**4\/24 - 2*h**3\/3 - 2*h**2 + 90*h. Let m(p) = p. What is l(m(j))?\nAnswer: -17*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 10\/71732897?\nAnswer: 10\/71732897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -3 * 14.5\nAnswer: -43.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -44072073 and 5.\nAnswer: -220360365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 77\/6591 and 85\/5577.\nAnswer: 72501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {n: 6, w: 2, b: 9}?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w - 343 = 301 + 321 - 1010 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 247630.\nAnswer: 2, 5, 24763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0.055*26.8\nAnswer: 1.474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve u = -p - 0*p, 4*u + 5*p = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 3*d**2 + 4*d + 3. Let q be z(-2). Solve q*h + 1 = -13 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.027, -43577, 0.6 in increasing order.\nAnswer: -43577, -0.027, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 2 times -13388719\nAnswer: -26777438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 6}. Give prob of picking 4 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28813876?\nAnswer: 2, 7, 13, 79159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the third derivative of -c**5\/20 + c**2. Let u(t) = -4980*t + 2490*t + 2498*t. What is u(i(l))?\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 112\/12 - (-6)\/9. Suppose 5*r = z, 5*v + 2*r - 3*r = 288. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4a21 (base 11) to base 2\nAnswer: 1100110011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c + 53. Let p be w(-28). What is the first derivative of -p*n**3 + 6*n**2 - 10*n**2 + 79 + 3*n**2 - 9*n**3 wrt n?\nAnswer: -102*n**2 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(468)*2)**2*-4 + sqrt(468))*3*-3.\nAnswer: -54*sqrt(13) + 67392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -30 + 29. Which is the nearest to o?  (a) 3\/2  (b) -2\/9  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 + 4 = -y + 3*z, 3*y = 3*z - 24 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:17 AM and 2:02 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 8 = -2*m + 4, -m = -4*y + 9. Let q be y\/(-12) + 1197\/54. Let g = 53 - q. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10 - -10. Suppose -5*o + a + a + 134 = w, 0 = -4*o + a + 109. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -787*-7\nAnswer: 5509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/648 and -55\/324.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*f - 6*f - 480 = 0. Is f a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) 0  (b) 176  (c) 5  (d) -0.1  (e) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 25 = 3*q, 4 = 2*x + 2*q. Calculate the remainder when (-1 + 0)\/(-1)*27 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 13\/5  (b) -24  (c) 2\/5  (d) -8  (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = -0*v - 150. Suppose -10 - 158 = 4*z. List the prime factors of 15\/v - z\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 3776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 >= 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.172 and -208504.\nAnswer: 35862.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b**3 + 2*b**2 + 2*b - 124. Determine d(0).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (1\/(2 - 0))\/((-3)\/(-168)) is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -856.6539 to the nearest 10.\nAnswer: -860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-18 - 3450\/(-161))\/((-6)\/28)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -23*o + 232. Calculate j(11).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 2*w**2 + 48*w + 167. Let m be i(-21). Which is the nearest to 0.1?  (a) -1\/4  (b) -2\/9  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 412*r**3 - 2*r**2 - 219*r**3 - 164*r**3.\nAnswer: 29*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 12\/5*(-16)\/(-6). Let o = 34\/5 - x. Factor o*c**2 - 6\/5*c + 4\/5.\nAnswer: 2*(c - 2)*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 35\/32 + -233\/96. What is the nearest to 0.1 in p, -4, 0.2, -0.11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.54 - -0.16. Let q = 1.69 - s. Which is the nearest to -1?  (a) -4  (b) q  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6683322?\nAnswer: 2, 3, 1113887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 417248 and 9763?\nAnswer: 313353248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 24  (b) 2\/7  (c) -35883\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 9) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 w and 1 d when four letters picked without replacement from wdwdw?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -374 - -374.0698. What is a rounded to 3 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3658?\nAnswer: 2, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - -6) + -3 + -5 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (37*g + 2*g + 10*g)*(0 + 2 - 2*g + 3*g).\nAnswer: 49*g**2 + 98*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58 is divided by 4\/4*(-5 - -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 84*k = 1284 + 2664 for k.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -554*y - 219*y + 768*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -607896703 plus 0.0011?\nAnswer: -607896702.9989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**0\/n)**(5\/2)*n**1*n\/(n\/((n**(-2\/25)*n)\/n)) assuming n is positive.\nAnswer: n**(-79\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f. Let v be g(3). Solve 15 = 8*r - v*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/8 and 35\/1884.\nAnswer: 3768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -4, 2, 312, 5, -5, 11097 in increasing order.\nAnswer: -5, -4, 2, 3, 5, 312, 11097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes after 11:39 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes after 4:42 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -36*i**3*y**3 - 13*i**3*y**2 + 8*i**2*y**2 - 15*y**6 wrt y?\nAnswer: -216*i**3 - 1800*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 95 - 37. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:58 PM and 1:31 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 270 - 39 = 0. Let n = 80 - j. Suppose -n*x + 59 = 2*p, 4*x - 2*p - 77 = -x. Does 17 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3390429827 to the nearest integer?\nAnswer: 58227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -112, -228, -344, -460?\nAnswer: -576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24458492?\nAnswer: 2, 6114623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*d + 112 - 364 = 0. Let m = d - 26. Is m not equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of c**3*d**4 + 102*c**3*d**2 - 153*c**3 + 10*d wrt d?\nAnswer: 12*c**3*d**2 + 204*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 6*a**2 - 2 - 13*a**2 + 6*a**2 + 12*a**2. Is c(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-45)\/(-15)*6\/2*10\/(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 75 - 9 = -5*u, 42 = 3*u - z. Let h = -32 + 36. Solve h*x + x = -u for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:51 PM and 5:50 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 679 minutes before 9:46 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 0*x + 0*x**2 - x**2 - x. Let i be (3\/(-6))\/((-2)\/(-56)). Let c(l) = 8*l**2 + 7*l. Determine i*y(a) - 2*c(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3507459 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - 12 - (-2 + -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 4 + 0 - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2266 (base 7) in base 12?\nAnswer: -594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -2*n**3 - 27*n**2 + 1225*n + 19200. Give b(-17).\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in twenty-nine fifths of a meter?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2 - (-2 - 0\/(-2)). Let d be 0 + 1 - (0 + -1). Let o(i) = -i**2 - 2*i + 1. Let l be o(-3). Put b, l, d in decreasing order.\nAnswer: b, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -269 - -409. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 2*v**3 + 5*v**2 - 424*v + 4435. Determine k(10).\nAnswer: 2695","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = 2*s - 19, 0 = 4*s + 2*a - 39 + 13. Calculate the least common multiple of 16 and s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -56936023 at most as big as -56936023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g**3 - 34*g**2 - 5*g - 104. Is x(-39) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 35628?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 66084.89 decades?\nAnswer: 660.8489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 0 - 1)*(0*a + 2*a - 5*a) + (4*a + 0*a + 0*a)*(24 - 14 + 18) to k*a + v and give k.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + (0 - (1 - -2)) + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 7*x**2 - 6*x. Let f be (30\/(-12))\/(2\/(-4)). Let k(t) = 6*t**2 - 5*t. Calculate f*h(u) - 6*k(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**3 - 15*r**2 + 97*r + 672. Calculate k(8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -22 - -22. Solve l*r + 2*r - 8 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, l: 1, f: 1, g: 2}. What is prob of picking 1 f and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(1053) + 4 + 1 + (-4*3*sqrt(13) - (sqrt(117) + 2)).\nAnswer: -24*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 20\/(-60) - (-208)\/3. Factor -z*a - a**2 + 35*a + 32*a.\nAnswer: -a*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 20 - 19.89. Let w = 0.21 - r. Which is the nearest to w?  (a) -4  (b) -1\/5  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -1324  (b) -0.2  (c) -2  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - 5 - (3 + 0 - 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 + -12 - (0 + -1)) + -28 + 16?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 66 = 4*p. What is the remainder when (-746)\/1865 - (426\/(-90))\/((-2)\/(-42)) is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1510 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4313 + 11?\nAnswer: 4324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8 + 8.3. Let s(x) = x - 3. Let h be s(6). Suppose -h*w + 4*w = 2. Sort -1\/8, b, w in decreasing order.\nAnswer: w, b, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -2565293474 and -55?\nAnswer: 2565293419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) 2502  (c) -0.3  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*m**2 - 48*m + 16 = 0. Calculate m.\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 15) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14 + -9. Which is the closest to -0.1?  (a) 0.9  (b) 0.4  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 977482 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 557 divide 418988768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4860212231.\nAnswer: 7, 694316033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15 - -30. Let o(k) = -k**2 + 18*k - 44. Let b be o(n). Let g be 0 + -1 + b + 16. Solve g = 2*v + 2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.3 - -0.2. Let h = -0.02 + y. Let q be (-18)\/4*((-86)\/817 - (-1)\/(-171)). Is q at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3383866886 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*t = -5080 + 971. Factor -2*g**4 - 3 + 4*g + 3*g**5 + 3 - 596*g**3 + t*g**3.\nAnswer: g*(g - 2)*(g + 1)**2*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*r - 11*r - 22*r - 16 + 27 + 39 + 52*r.\nAnswer: r + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -6*i + 2. Let t(z) = -39*z + 36. What is 21*k(g) - t(g)?\nAnswer: -87*g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 at most 97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**3 + 3*h**2 + 3*h - 3. Let g be y(3). Let j = g - 1. Calculate the remainder when 8 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3)\/6*-1*52. Find the second derivative of -7*r - y*r**3 - 2*r**3 + 3*r - 3*r wrt r.\nAnswer: -168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 15) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2724\/14)\/((-5)\/(70\/3)). Are -1.8 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*w**4\/11 - 3004*w**3\/11 - 1194*w**2\/11 + 1800*w\/11 = 0. What is w?\nAnswer: -300, -1, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14480091.\nAnswer: 3, 197, 8167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 + -1. Let h(l) = 3*l**2 + 3. Let g be h(y). Solve z - g = -3*j - 4*z, -1 = -2*j + 3*z for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8345014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4029364*c**2 - 2324610*c + 1?\nAnswer: 8058728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o = 0, -5*o = 2*j - 0 - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 643 minutes before 12:26 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l + 18 = 2*p, 0 = -2*p - 88*l + 85*l + 18 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3.5 * 3.\nAnswer: 10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.4  (b) -2  (c) 3  (d) 283.49  (e) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that -39\/8 + 51\/8*m - 3\/2*m**2 = 0.\nAnswer: 1, 13\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(343) + -1 + 4 - (sqrt(343) + -1 + -1 - sqrt(343)))**2 + -1)*-4.\nAnswer: -1468 - 280*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9316.5 - 9316. What is the closest to -22 in k, -5, -4, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3237*x**3 + 852*x**3 - 98*x + 116*x**2 + 98*x - 116*x**2.\nAnswer: -2385*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fasa when four letters picked without replacement from asasffsasa?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 24*t + 2. Let n(d) = -49*d - 3. Let k(y) = 5*f(y) + 2*n(y). Let o(q) = 5*q. Calculate k(o(b)).\nAnswer: 110*b + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l - 0 - 20. Let f be (l\/(-4))\/(9\/4 - 2). Find the third derivative of -3*m**f + 34*m**2 - 6*m**5 + 2*m**5 - 7*m**5 wrt m.\nAnswer: -840*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**3 + 11*y**2 - 11*y + 12. Let u be n(-12). Calculate the remainder when 58 + (u - 0 - 4\/(-1)) is divided by 25.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -261 (base 10) to base 9\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 119 - 119 + 4*p - 2*p. Let r(j) = -15*j**2. Give r(u(k)).\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 163 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.3  (b) 9  (c) -30495\/28  (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 2*k**5 + 2*k**4 + 11*k**3 - 15*k**2 + 15*k. Let d(m) = -m**5 - 2*m**4 - 5*m**3 + 8*m**2 - 6*m. Let c(f) = 5*d(f) + 2*u(f). Factor c(g).\nAnswer: -g**2*(g - 1)*(g + 2)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*y - 12, 10*j - 5*j + 2*y = 13 - 109 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*y - 2*y + y)*(-100 + 367 + 421 + 5 - 41).\nAnswer: 1304*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 25 by 13760084.\nAnswer: 25\/13760084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 257 - 255.952. Let a = m + -1. Round a to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the second derivative of 7\/12*w**4 + w + 0*w**2 + 0 + 0*w**3. Let y(o) be the second derivative of o**3\/6 + 22*o + 59. Calculate g(y(t)).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4082 - -4460.9. Let q = -379 + n. Suppose -2*g + 6 = -5*g. What is the smallest value in 0.3, q, g, -4\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 - -1010110?\nAnswer: 1011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 39*x**2 + 0*x**5 + 11*x**3 + x**5 - 53*x**2 wrt x?\nAnswer: 60*x**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -118454 = -829170\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*o**2 + 219640*o + 293607876.\nAnswer: 4*(o + 1371)*(o + 53539)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 48570*x - 14. Let r(k) = 48570*k - 13. Let s(n) = -3*m(n) + 4*r(n). Let i be s(-7). Round i to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from wnnnwwvnv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 250343 to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 8*s = 3*s + 40, 0 = -3*p + 5*s + 8. Let f(k) = 10*k - 2. Let j(r) = -5*r + 2. Let d(l) = -3*f(l) - 5*j(l). What is d(p)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 0.7711892um?\nAnswer: 0.0000007711892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -18, 0*m - 195 = -5*m - 5*s. Solve -8*a = m - 73 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the second derivative of -139*x**3\/6 + 473*x**2 + 10*x + 31. Find the first derivative of g(d) wrt d.\nAnswer: -139","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j + 4*j + 34 = 2*l, -4*l + 73 = j for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 2312*y + 189752. What is s(-82)?\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmoiooimooovio. Give prob of picking 4 o.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 56\/(-16) - 1\/(-2) - -9. Calculate the common denominator of x\/176 + 144\/192 and -19\/110.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -83 + 79. Let q be (1\/5)\/(2\/(-2 - 0)). Sort c, q, 1\/6, 4 in increasing order.\nAnswer: c, q, 1\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1*2\/(-6)*-3. Let a be 1\/w - 3\/(30\/(-350)). What is the highest common divisor of a and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 22 and 120.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 - 1. Let f(d) = d**3 + 111*d**2 - 111*d + 107. Let m be f(-112). Sort 0, 3, m, p.\nAnswer: m, 0, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 8\/14 - (5 + ((-900)\/14)\/10). Solve -5*y - 8*s = -6*s - 10, w*s = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 103509 - 51094. What are the prime factors of b?\nAnswer: 5, 11, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express f**4 - 2*f**3 - 124 + f**2 + 144 + 0*f**3 + 0*f**3 in the form v*f**4 + p*f**2 + j*f**3 + y*f + l and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 c when two letters picked without replacement from bcobcbcbpobaqbccb.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -425*a - 428*a + 1290*a - 435*a. Let y(x) = -5*x - 4. Give y(q(z)).\nAnswer: -10*z - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f - 16 - 44 = 0. Let s = 7 + -15. Let p = s - f. Solve c = -p + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*m = 23252*w - 23249*w - 30, 0 = 3*m + 5*w - 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1670029 is divided by 98235?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -419 + 257 = -18*p. Let v(n) = 7*n + 2. Let c(f) = 13*f + 4. What is p*v(i) - 4*c(i)?\nAnswer: 11*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3.8 + 1.2. Let j = -1.368 + -0.632. What is the closest to j in 1, -0.5, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2219 + 2815. What is the remainder when x is divided by 155?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**3 + 5*h**2 + 5*h - 13. Let c(w) = w**3 + 8*w**2 + 8*w - 20. Give 5*c(t) - 8*q(t).\nAnswer: -3*t**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 4*g = 68, 3*g - 21 = -2*m - m. Suppose 9*w - m*w + 9 = 0. What is the remainder when 7 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -45*m + 4709. What is w(105)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 320074.37 rounded to the nearest one thousand?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19) - sqrt(2793)\/sqrt(3))*-2.\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 11 + 3 - o**2 - 16 + 6*o**3 in the form a + h*o + g*o**2 + s*o**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00023852179 to 5 dps.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.0349 - 0.2349. Let g = 5.2 + -0.2. Which is the closest to k?  (a) -7  (b) -2  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6\/14605 + -7271\/53249830. Do -1 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1541*k - 122446 = -26904 for k.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 3*-933\nAnswer: -2799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 + 3. Let c(p) = z*p + p - p. Let r(t) = -2*t**2. Calculate r(c(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = q - 8, 5*d + 5 = 5*q - 25. Sort 2, d, 4, -59 in descending order.\nAnswer: 4, 2, d, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.0521 or -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -133 - -132.971. Let t = 0.489 + a. Let b = -2.54 - t. Sort b, -0.5, 1\/4, -0.4.\nAnswer: b, -0.5, -0.4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a**2 - 8*a - 8. Let v = 10 - 17. Let t be k(v). What is the smallest value in -2, 3\/5, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 381 > -10308?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(4 + (2*(sqrt(36) - sqrt(360)\/(sqrt(10) - -1*sqrt(10))))\/((sqrt(432) + 1*sqrt(432) + sqrt(432))*2)).\nAnswer: sqrt(3)\/9 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t - 5 - 1. Suppose 0 = -t*c + 2*l + 8, -4*l - 4 = 0. Suppose 0 = -4*x - 5*a + 333, x = -4*a + c*a + 87. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 10*r**2 + 384*r**3 - 5*r**2 - 3*r - 1 - 88*r**3 - 3*r**2. Let y be m(3). Round y to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 + -1. Let k(a) = -2*a**3 - 7*a**2 + 3*a + 4. Let z be k(y). Suppose l = z + 30. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/48554 and 101\/261838480.\nAnswer: 2880223280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*49\/28*(-4)\/1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a**2 - 4*a - 37 + 15 + 18. Determine i(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the first derivative of p**2\/2 - p + 5. Let d(j) = -8*j + 9. Let h(c) = -d(c) - 6*t(c). Let n = -11 + 13. Let r(a) = 8*a - 13. Give n*r(l) - 9*h(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**1\/p*p)**24*p**(2\/7)\/p**(-3\/5) assuming p is positive.\nAnswer: p**(871\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 31455123*v**2 + 12*v - 899953?\nAnswer: 62910246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1069116 and 92061.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 26889 + -26879. Let v(o) = o + 16 + 0 - 2*o - 4*o. Let q(z) = 9*z - 31. Let t(f) = -4*q(f) - 7*v(f). Calculate t(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 2*w**2 + w + 8. Let d(f) = 2*f - 20. Let p be d(11). Suppose p*v = 6*v. Is 4 a factor of y(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 249*z**2 - 148*z**2 - 167*z**2 + 50*z**2.\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, j: 3}. What is prob of sequence jd?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -17, -165, -529, -1217, -2337, -3997, -6305?\n\"Answer: -18*y**3 - 22*y + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 6*u + 190. What is a(0)?\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(700) + 2 - sqrt(700))**2*6 + sqrt(700).\nAnswer: 10*sqrt(7) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in i + 1 - 2*i**2 + 34*i + 34*i.\nAnswer: -2*i**2 + 69*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 5878051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 23523 - 23487. What is the common denominator of k and (-20)\/(-12)*(-6)\/148?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 699.342 weeks in seconds?\nAnswer: 422962041.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 146 and 1036162?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 0*f - 8 = 0. Suppose -3*l + 7 = f*d, 3*d + 2*l - 18 = -d. Solve -3*q + 2 = d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -28\/3621 and 5\/24?\nAnswer: 28968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -111\/19474 and 119\/6?\nAnswer: 58422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/(0\/(-4) + 9\/(-162)). Let j be (-7)\/((-105)\/p)*(-10)\/3. Solve -j*r - 24 = -0*w - 2*w, -3*w + 8 = r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-35)\/21 - (-1)\/(-3). Let w be (2 - s - 98)\/2. Is (2 + -3)*w - 3 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5577 and 21021.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -14*i. Let a(m) be the first derivative of -10 - 5 - 5*m**2 + m**2 + 3*m**2. Give a(k(g)).\nAnswer: 28*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 38, 75, 112?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(11) + ((sqrt(77) - (sqrt(77) + (sqrt(77) - (sqrt(77) - (sqrt(77) + sqrt(77)*4 + sqrt(77))))))\/sqrt(7))**2 + -3).\nAnswer: -1572 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 209\/4?  (a) 6  (b) 5  (c) -3  (d) 0.046  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*u + 7548 = -3*u. Let d = u - -282. Calculate the remainder when d is divided by 98\/6 + 2\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6364993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(13) + sqrt(65)\/(sqrt(80) - sqrt(5))) + (sqrt(65)\/(sqrt(10)\/sqrt(2))*3)**2.\nAnswer: -8*sqrt(13) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-100)\/175*((-693)\/88)\/9.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 70893.92 rounded to the nearest 1000?\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.2, 1\/3, 1\/84, 3\/23, 0, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -27931127 divided by 41\nAnswer: -681247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -8368.1 to the nearest one hundred.\nAnswer: -8400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 29*d - 6744 + 1002. What is the highest common factor of 2838 and d?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71 + 41 = 14*j. What is the greatest common factor of j and 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x = x + k - 14, 2*k = -2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 20*u + 32. Give o(-21).\nAnswer: -388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -67\/440608 and 1\/1274.\nAnswer: 5727904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 25302861, 101211440, 227725739, 404845758, 632571497?\n\"Answer: 25302860*z**2 - z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7282, -14566, -21850?\nAnswer: -29134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, c: 3, z: 4, s: 1, m: 1}. What is prob of picking 1 s and 2 n?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 695 divide 1031222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (90*u + 77*u - 144*u)*(-2*u - 21*u + 0*u - 4*u) to the form c*u + y + k*u**2 and give k.\nAnswer: -621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(35)\/(sqrt(5) + sqrt(80)) + (sqrt(252) + -1 + sqrt(252))**2 + -5)*-4.\nAnswer: -4016 + 476*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 3*r - 209. Let d(w) = 4*w + 126. Let o(k) = -k - 28. Let z(l) = 2*d(l) + 9*o(l). Give z(f(h)).\nAnswer: -3*h + 209","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 3*k - 3. Let m be a(5). Let x(j) = -j**3 + 12*j**2 + 15*j + 2. Let i be x(m). Let l be (500 + 0)*-1*i. Round l to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 15*c**2 + 10*c - 8. Let p be h(1). Find b, given that -77*b**4 - p*b + 2 - 147\/4*b**5 + 75\/2*b**2 + 65\/4*b**3 = 0.\nAnswer: -2, -1, 2\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8609 is divided by 1228.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2552*o - 2553*o + 3*j + 21, o = j + 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.17, -12, 2, 18\/5 in ascending order.\nAnswer: -12, -0.17, 2, 18\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6013191677.\nAnswer: 59, 101918503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30 = -3*l - 3*c, 4*l = -3*c - 9418 + 9445 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-14))\/(184\/(-28) + 6)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*x**3 + 7*x**2 + 113*x wrt x.\nAnswer: 30*x + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -63 - -63.2. Let f = 24.56 - 24.56. Which is the closest to f?  (a) u  (b) 18  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**2 + 5*w + 2. Let a be g(-2). Suppose 0*p = 3*p - 6. What is the remainder when p is divided by (-3 - a)*(-3 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*q - x = 28*q + 1585, 2*q + 3*x - 651 = 0. What is the remainder when q is divided by 43?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 9\/325519096 and 109\/280.\nAnswer: 1627595480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 41 - 8?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 867 divided by 2\nAnswer: 867\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 535 = k, -5*n + 444 = -4*k - 926. Is n a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-7 + 9)*3*1. Suppose 0 = -s + g*s - 25. What is the first derivative of 4*n**4 + 12*n - s - 2 - 12*n wrt n?\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -13 - 1. Let f(q) = -q**2 - 16*q + 10. What are the prime factors of f(s)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 5\/2*f**3 + 2*f**2 + 0*f.\nAnswer: f**2*(5*f + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1bb628 (base 13) in base 12?\nAnswer: -2a3333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 276 <= 295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 59051469353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1308 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:09 AM and 11:06 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 - (-1 - 6) - 11?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 210 - 188. Let u(o) = o + 33. Let x be u(a). Calculate the greatest common factor of x and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.37 + -0.87. Let r(v) = -v**3 + v**2 + v + 1. Let s be r(-1). Sort s, -0.5, m in decreasing order.\nAnswer: s, m, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7048, 7045, 7040, 7033, 7024, 7013?\nAnswer: 7000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 57 + 62 - 36*n + 54 - 203 + 37*n. Let r(k) = k + 1. Calculate 2*r(z) + y(z).\nAnswer: 3*z - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f + 44 - 19. Suppose i - 15 = -4*i. Suppose y + f*d + i = 0, 0 = 5*y + 5*d - 2*d - 29. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/907 and -83\/36.\nAnswer: 32652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*h - 140 = 34*h. Is -170\/9 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) -201  (b) 0  (c) 1\/5  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 3, u: 5, x: 2, a: 3}. Give prob of picking 2 u.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13 (base 4) to base 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 63\/435944 and -91\/4.\nAnswer: 435944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -5, 3447, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6142 - -6137.5. What is the third smallest value in k, -0.3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l + 2*u + 2*u + 22, 0 = -3*l + u + 10. Let a be (l - 1)\/((-5)\/(-55)). Let y = 20 - a. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*((5 + 2 + 0 + sqrt(448))*2 + 0 + -5 + (sqrt(448) - (sqrt(448) - sqrt(448)*2)) + 5))**2.\nAnswer: 3584*sqrt(7) + 29456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 0.02  (b) -5  (c) -3\/5245  (d) 2  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the first derivative of n**3\/3 + 55*n**2 - 111*n + 80. Factor u(d).\nAnswer: (d - 1)*(d + 111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1, 223, 4, 0, -210, -6 in ascending order.\nAnswer: -210, -6, -5, 0, 1, 4, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 89628839.\nAnswer: 8807, 10177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -10 - 11501350?\nAnswer: -11501400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 143*h**3 + 2*h + 62 wrt h?\nAnswer: 858*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/(-1 - 0) - 220\/44. Let z(j) be the second derivative of 3*j**4\/2 + j**2\/2 - 56*j. Determine z(g).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, r: 17}. What is prob of picking 1 r and 1 z?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 12 = -4*w + 4, 3*w - g = 7. Let m be (1\/(3\/w)*0)\/(-2). Solve -2*y + 4*k + m*k - 12 = 0, y - 3*k = -7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**3 - 23*w**2 + 25*w - 27. Let y be p(-24). Let a = 79 - y. What is a rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 276 and 408.\nAnswer: 9384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31156 is divided by 186.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03831256 rounded to three dps?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 20 - 18. Suppose 5*s - 26 = -5*z + 9, 5*s = o*z. Suppose -2*q + 1 = -z. Solve -2*d - q = 7 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/2*(-1379)\/63. Let j = 33 - i. Let k = 1.8 - -0.2. Sort 0.3, j, k in decreasing order.\nAnswer: k, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 26 + -26. Let x = -80\/3 + 27. Which is the closest to x?  (a) 1\/3  (b) f  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 4*v. Let d(w) = 5*w + 1. Calculate z(d(l)).\nAnswer: 20*l + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -171*c + 14044 = -167*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 minutes after 4:51 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 4*t**2. Let p be 0\/(-3*(-3)\/9). Let j(i) = -i + 4 - 4 + p*i. Determine j(k(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-25)\/(-25))\/((-2)\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*m + 0*m - 4246 - 4248 + 8494.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 12032201 (base 4) in base 10?\nAnswer: 25505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 526166449?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4463 is divided by 93.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3865 + 3970 - 11801 + 3966 + 2*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -357 + 318 - (1 - 148)\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -24018600 rounded to the nearest one million?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m - 91 - 73. Calculate the remainder when 0 - m - (-3 - -1) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 3*c - 3. Let g(w) = 74 - 39 - 36. Calculate 4*g(j) - s(j).\nAnswer: -3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:54 PM and 4:10 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2, -12, 6, -1 in decreasing order.\nAnswer: 6, 2, -1, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2679689162?\nAnswer: 2, 1339844581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*a + 42*a = -9*a + 5225 for a.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 11*g**2 + 2*g. Let q be h(4). Suppose -3*d = d + q. Let k = d + 755. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 451202020 - -223?\nAnswer: 451202243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -48 - -5?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 - (-2 + 4 + (-3 - (-24 - -14)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, e: 17}. Give prob of picking 2 m.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 2*r**2 + 4*r - 1. Let x = 11 - 8. Suppose d = -1 - x. Is w(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.600288 rounded to 3 decimal places?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 63639.\nAnswer: 3, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0074 * 33.9936.\nAnswer: -0.25155264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 120*g**3 + 402*g**2 - 47*g**3 - 52*g**3 - 5*g + 4*g to the form y*g**3 + r*g + c*g**2 + q and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*j, 5*a + 4*j + 7 = 27. Suppose a*n = -z - 3, 5*z - 2*n - 24 = 3*z. Suppose 18 = z*i - 7*i. Solve 0*t = 3*t - i for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 18 = 2*b + 3*w, 0 = -w + 3. Let i(t) = t - 1. Let d be i(1). Suppose 2*q - 36 + b = d. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-48034)\/(-3577) - (2 - (-18)\/(-7)). What is the greatest common divisor of u and 318?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/21929760 and 59\/169560?\nAnswer: 65789280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17756613 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**4)**28 assuming c is positive.\nAnswer: c**112","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (4 - 246\/18)*-6. Let l be 203\/a*(-8)\/(-14). Solve 3*x = 1 + l for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(153) - (sqrt(153) - sqrt(153)*-3))*-3)\/sqrt(9) + 2.\nAnswer: 2 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -4*v**2 - 66*v - 90. Calculate l(-12).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 9 = 3*a, 13 = -5*n - 12. Solve 5*r = a + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n - n - 5*b + 23, -5*n + 3*b = -11. What is the second derivative of -10*a + 20*a**4 - 28*a**n - a wrt a?\nAnswer: -96*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -56018*v - 392170. Give q(-7).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 57405957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Let t = -4 + 9. Let s(l) = l + 3*l**2 + 29 - 14 - 16. Is s(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2065 divided by -413.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2.1 + -2. Let t = 0.19 - -1.81. What is the nearest to s in 1\/4, t, 1\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -7*d. Calculate the least common multiple of (13\/(-26))\/(4 + (-900)\/224) and z(-5).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the first derivative of 2*d**5\/45 - 7*d**4\/54 + 2*d**3\/27 + d**2\/9 - d - 2. Let g(k) be the first derivative of b(k). Factor g(h).\nAnswer: 2*(h - 1)**2*(4*h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.516136286 rounded to two decimal places?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: d (base 14) to base 15\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -132 + 41 = -u. Does 21 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.8*-68.22735.\nAnswer: -54.58188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 3, j: 1, t: 1, e: 2, m: 1, p: 3}. Give prob of sequence pewm.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -14 - -9.8. Let g = 3.2 + z. Which is the fourth biggest value?  (a) -2\/5  (b) g  (c) 4\/5  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1970007 (base 12) to base 14\nAnswer: -9db327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*s - 21*s + 601 = 193 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -5\/6  (b) 56  (c) 11  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -66167\/15 + 4413. Let n = 188\/15 - l. Calculate the common denominator of 73\/28 and n.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 251974973.\nAnswer: 109, 2311697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 3*b**2 - b + 3. Let f(r) = r**2 - 1. Let p be 84\/72 + 8\/(-48). Determine p*m(t) + 3*f(t).\nAnswer: 6*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Factor k**2 + 21491*k + 42978.\nAnswer: (k + 2)*(k + 21489)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 816930.9 kilograms to grams.\nAnswer: 816930900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -4*r**3 + 9*r**2 - 8*r + 5. Let w be b(-6). Suppose -12*k - 65 = -w. Is k a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1257175?\nAnswer: 5, 50287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p + 1. Let r(b) = 29*b - 29. What is -29*a(q) - r(q)?\nAnswer: -58*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f**2 - f**2 + f**2)*(3*f + 135*f - 55*f) - 4*f**3 + 0*f**3 + 2*f**3.\nAnswer: -85*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -25501132 (base 7) to base 2\nAnswer: -1000110110010110100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that -10*s**3 + 571*s**2 + 1740*s = 0.\nAnswer: -29\/10, 0, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -3*g + 9. What is a(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 130, 906, 2324, 4384, 7086, 10430, 14416?\nAnswer: 19044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -59749953*f**3*k + 11*f*k - 737*f + 4*k + 34 wrt f.\nAnswer: -358499718*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 210394749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.6, 4, 13 in decreasing order.\nAnswer: 13, 4, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 226*w - 756 = 93*w + 1771. Solve 5*j + 168 = -w*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*r**3\/7 - 4268*r**2\/7 + 1880206*r\/7 + 3777500\/7 = 0. Calculate r.\nAnswer: -2, 625, 1511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**2\/7 + 2050*l\/7 + 1176.\nAnswer: -2*(l - 1029)*(l + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oot when three letters picked without replacement from ootototooootoootoooo?\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -544 - 912 = -208*l. Solve -l = -12*c + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 - -202?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -2*m - 2. Let j(h) = -h - 2. Let y(n) = -j(n) + v(n). Let f(p) = -67*p**2. What is y(f(q))?\nAnswer: 67*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -3\/20, -5, 0.127, 23?\nAnswer: 0.127","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 + -9 + 12 - 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-five quarters of a litre in millilitres?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1729, 1741, 1753?\n\"Answer: 12*p + 1717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1440 (base 11) in base 5?\nAnswer: -24414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1101 (base 4) to base 3\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*-4*sqrt(7920))\/(sqrt(22)\/((sqrt(64)\/sqrt(8))\/sqrt(4))) + -1.\nAnswer: -48*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 171673731 and 457796616.\nAnswer: 1373389848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-5\/6)\/(v\/((v*v**(-4\/7)\/v)\/v*v))*(v\/v**(-2\/5))\/v**(1\/5)*(v**(5\/2)\/(v\/(v**(3\/7)\/v)*v))\/((v**(2\/9)*v)\/v)**(-42) assuming v is positive.\nAnswer: v**(282\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 5*u - 12. Let i be (2 - 9\/2)*-2. Suppose u*k + i = 25. Solve -v - v + 4 = 2*y, k*v - 4*y = -32 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u - u + 4 = 4*o, -3*o = 5*u - 88. Solve 0 = -6*q + q + 3*f - u, 0 = 2*q + f - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 2*u + 20. Let d(g) = g + 12. Let n(j) = 3*c(j) - 5*d(j). Let k(o) = -19*o + 8*o - 18*o. Calculate n(k(w)).\nAnswer: -29*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14822694, -14822711, -14822728?\nAnswer: -14822745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 31\/(-62)*8\/((-2)\/(-1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-852)\/99826*-19*-185?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - 113\/(-58))*(111*(-19)\/171 - -12).\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 2 - 4 = 0, 4*d - 2*o - 184 = 0. Suppose d = -0*f + f. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w - 1 = -13 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**3 - 3*h**2 - 8*h - 6. Let k be z(5). Let f = -17 - -23. Solve -f*p + 2*p - k = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10, -7, 20, 83, 194, 365, 608?\nAnswer: 935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (10\/(-40))\/(9\/6)*-12. Suppose -1372 = -2*r - 3*x, b*r - 679 = r - 5*x. Is r a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = m**2 - 4*m - 7. Let c be w(6). Suppose 3*t + 2*t + c = 0. Is -3\/2 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20.5 times -0.04\nAnswer: 0.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in five eighths of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56*m - 56*m + 14*m**2 + 19*m**2 - 36*m**2 + 14*m**2.\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (4*1*7)\/(21765\/(-65295))?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -25310134 (base 7) to base 9\nAnswer: -4266764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 4*n - 53 = 0, 1 + 1 = n. Calculate the remainder when t is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 equal to 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 35034211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 3, -0.2, -29, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the first derivative of z**3 + 15*z**2\/2 + 12*z - 146. Factor v(n).\nAnswer: 3*(n + 1)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -1. Let s be (-24)\/(-56) - (-897)\/161. Let j(l) = 2*l - 6. Determine s*g(m) + j(m).\nAnswer: 2*m - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 472*r**2 + 653*r**2 - 363*r**2.\nAnswer: 762*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/5 in -14, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 2 x when three letters picked without replacement from xmxxmmxzmxzzxxxxxzxx?\nAnswer: 22\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.17 + 0.1. Is j <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9209555?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = -h. Suppose -2*v + 58 = -4*p, h*v + 4*p + 27 = v. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10 - -3. Let j = 8 + i. What is the highest common divisor of 11 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-101499996)\/7 + (-20)\/35. What is u rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -4*x**3 + 44*x + 45. Let h be j(-1). Solve 4*r + 20 = 0, -3*r - h = 4*z + 2*r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -6*g - 3. Let i be t(-1). Suppose i*k = -0*k. Suppose 29 = v - 5*n, -5*v = n - 67 - k. What is the remainder when 83 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 263852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -62*a - 96 + 3 + 61*a.\nAnswer: -a - 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**2 + 3*z + 2. Let m be s(3). Let k(b) = 2*b - 22. Let g be k(17). Solve -q + 4 + 15 = -5*p, 4*q + g = -m*p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 146 - 142. What is the remainder when (-2277)\/(-24) - 2\/((-64)\/k) is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -42 - -44. Let p(u) be the first derivative of 0*u**2 + d + 0*u**4 - 2\/3*u**3 - 2\/5*u**5 + 0*u. What is the third derivative of p(k) wrt k?\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 45\/22?\nAnswer: 45\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*n - 474 = -551 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 24, -10, 3, -1.\nAnswer: -10, -1, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -h**2\/2 - 3489987*h\/2 - 13959916 = 0.\nAnswer: -3489979, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*m**5 + 4*m**4 + 31*m**5 + 0*m**4 + 10*m**4 - 24*m**2 - 51*m**5 + 8*m**3 = 0.\nAnswer: -6, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -30063\/3785?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 8*n + 11*n**2 - 4*n**2 + 3 + 2*n - 13*n. What is the units digit of t(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5901 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in sixty-one thirds of a decade?\nAnswer: 2440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-9)\/(-27) + 0)\/((-6)\/342). Put b, 5, 1 in increasing order.\nAnswer: b, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - v + 15 = -5*a, 0 = 3*v - 4*a - 12. Calculate the common denominator of (-15)\/(-10) - v*5\/(-15) and -143\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u*u*u**(-8)\/u*u*u\/(u\/(u**23\/u))*u assuming u is positive.\nAnswer: u**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k**2 + 7*k - 26. Let l be u(3). Solve h + 4*v = 20, -l*v + 16 = -h + v for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1 - 33999)*2\/((-2)\/(-55)). What is w rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -840 - 13*h**2 + 3*h**2 - 155.\nAnswer: -10*h**2 - 995","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.062 + -0.061973. Round o to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 105 - 1 - (-4 - 0\/1) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kythdyd. What is prob of picking 1 y, 1 k, 1 d, and 1 h?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 18 = 12. Let v be 7 + 1 + (-5 - -1) + f. What is the second derivative of v*h - 23*h**3 + 30*h**3 + 5*h wrt h?\nAnswer: 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**2 - 18*x - 29. What is z(-5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*((sqrt(847) + sqrt(847) + -2)*1 + (-2 + sqrt(847) + sqrt(847)*1 - sqrt(847)))*-1)**2.\nAnswer: -6600*sqrt(7) + 190975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 30213 (base 4) in base 13?\nAnswer: 4a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k**3 + 2*k**2 + 3 - 2 - 5)*(k**2 - 2*k**2 + 2*k**2).\nAnswer: k**5 + 2*k**4 - 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 10 = -5. Let i be (-44)\/38 + (1 - 0). Is n <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-88 - 3 + 165)*(19*k + 296*k - 33*k) to u*k + c and give u.\nAnswer: 20868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3957 = 45*z - 746*z + 4068 + 38241 for z.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**2 + z + 48. Let i(p) = 2*p**2 + 5*p - 42. Let g be i(-6). Determine q(g).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 81 = -22*l + 59 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13 - -18. Let i(c) = 0*c + o + 2*c - c. What is the least common multiple of i(5) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*(-9)\/(-1188)*8?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*h - 59 + 59.\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*c - 4*p - 4, -8*c - 17 = -5*c - 4*p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:10 PM and 8:55 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 297.5984m?\nAnswer: 0.2975984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**2 - g + 1. Let j be p(-2). Let m(r) = -4*r**3 + r**2 - 1. Let n be m(j). Let o(a) = a**2 - n + 6*a + a + 5. Give o(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g**4\/5 - 516*g**3\/5 - 384*g**2\/5 + 4775492*g\/5 - 42559038\/5 = 0.\nAnswer: -173, 9, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-2\/7)*r)\/r**(-2) assuming r is positive.\nAnswer: r**(19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1\/68 - -37\/204. Let j(g) be the third derivative of -r*g**3 + 1\/10*g**6 - 1\/12*g**5 + 0*g + 0 + 2*g**2 - 1\/4*g**4. Solve j(c) = 0 for c.\nAnswer: -1\/3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a*a**(-1\/4))**(-2)\/(a**3\/a)**(-9\/5) assuming a is positive.\nAnswer: a**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 5 + (6 - (23 - 9)) + 33\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2237880 divided by 2237880\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -2*w + 35698326 + 6802568, 0 = -5*w - i + 106252249. Let b = w + -14050449. What is b rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -481906, -963706, -1445506, -1927306, -2409106?\nAnswer: -2890906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 3, g: 1, x: 2, r: 13}. Give prob of picking 1 g and 2 x.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -932*i + 7136 = 852*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 3*i)*(-2 - 4 + 4)*(-106*i**2 + 9*i**2 - 100*i**2).\nAnswer: 1182*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/2)\/(((-2)\/(-10))\/(28\/(-84))).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 224*h + 179 = 240*h - 13 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/(1\/4) + 0. Suppose 2*c = -t + 4, 5*c - 3*t = 25 - x. Suppose 4 = c*m - m. Solve 3*o - m*o = 3*w + 12, -w = 4*o + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + (-9 - (-2 + -1)) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -15*w**5 + 40*w**4 - 30*w**3 + 5*w = 0?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 5*g + 10. Let j(a) = 4*a + 9. Let b(m) = 3*j(m) - 2*u(m). Let w(r) be the first derivative of -r + 7. Calculate -b(q) - 6*w(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4095*a**2*l**4 - 26558*a**2 + 17*a*l**6 - 2*a*l**2 wrt l.\nAnswer: -98280*a**2*l + 2040*a*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -9*k - 6. Let o(g) = 2*g + 2. Let a(d) = 3*o(d) + x(d). Let p = 3 - 1. Let y(t) = t**2 + t**2 - 4*t**p. Calculate y(a(i)).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -157 - -322. Calculate the greatest common factor of z and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*m - 44*m**2 + 6*m.\nAnswer: -44*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 209 minutes before 10:24 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 40063986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -3 - (-4 + -16)\/4. Find l such that 5*l**m + 4*l - 7*l**2 + 3 - 5 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 13505141 - -1114?\nAnswer: 13510255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 3*v + 6 = 0, -2*u + 5*v + 0 = 7. Is u less than -16\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the second derivative of 5*g**4\/12 - 110*g**3\/3 - 456*g. Determine u so that z(u) = 0.\nAnswer: 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -15*y + 192. Suppose y + 75 = 29*b. Solve -b*l - l = -g, 2 = 2*l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18632\/(-408)*-9*2\/2.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/4)\/(-3 - 115\/(-40)). What is the third smallest value in v, -5, -2\/9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 31978.0014347 - 31978. What is n rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-1\/2))**15)**(-13)\/(((r*r**0)\/r)**(-7\/2)\/(((r\/(r*r**(2\/11)))\/r)\/(r\/r**(-3)))) assuming r is positive.\nAnswer: r**(2031\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 24\/11 - 2 - 72\/(-1056). Factor 0 - 1\/4*y**4 + 1\/4*y**2 - 1\/4*y**3 + s*y.\nAnswer: -y*(y - 1)*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-2\/5))**(-1\/22))**44 assuming f is positive.\nAnswer: f**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-1213 + -68)*8\/168\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-1)*y)**(-38)*(y**(-2\/7)\/y)**(3\/13))\/(y**(2\/5)\/(y*y**(1\/9)*y))**(5\/2) assuming y is positive.\nAnswer: y**(6521\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -82.559 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 55 = -o. Suppose -6 = -5*l + 7*u - 3*u, -u + o = 5*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3440596 and 40052?\nAnswer: 1292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 5, 0.4, -0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*x - x - 3*x + (4 - 2 - 3)*(3*x - 2*x + x) - x - 1 + 1 to h + d*x and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**2 + 18361*m + 440084. Determine c(-24).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 4*r + 266 = 0. Suppose -2*g = -s + 144, -9*s + 5*s + 4*g = -588. Calculate the remainder when s is divided by r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55002 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: Suppose 0 = -t + 128 - 78. Let h(m) = 13*m**2 - 4*m - 4. Let g be h(-3). Calculate the highest common factor of t and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12 - 10. Solve -3*p = -5*s - 6, -5*p - 6 = -m*s + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 72\/(-30)*((-3570)\/(-28))\/(-17)*-2\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5 - -10. Let j(t) = t**2 - 6*t. Let h be j(g). Let f(n) = n + 4. Let a be f(-5). Put h, -4, a in increasing order.\nAnswer: h, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve w + 4 = 2016044*t - 2016044*t, 3*t - 2*w - 23 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1862*g**3*q**3 - 1539*g**3*q**2 + 15952*g**2*q**3 - 18*g**2*q**2 - 6*g**2 wrt q.\nAnswer: 11172*g**3 + 95712*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/4 - 2\/(-4). Let p(f) = f + 3. Let q be p(-3). Suppose 0 = -4*w + 5*k + 1 - 8, -k = w - 5. Solve x + q - w = r for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 at most -436\/135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 4*f**2 + f. Let z(p) = -19*p**2 - p + 21. Calculate 4*t(b) + z(b).\nAnswer: -3*b**2 + 3*b + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 91 divide 73437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:29 AM and 7:52 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1 - 0.94. Let r = v + 4.94. Sort -1, 0.4, r in ascending order.\nAnswer: -1, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j - 3*w = -2, -10*j = -3*w + 108 - 176 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a + 2*a + 2*a)*(1 + 2 - 1)*(115*a**3 + 78*a**3 - 40*a**3).\nAnswer: 918*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 18.488 and 2.5.\nAnswer: 46.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + (4 - -1) + (6 - 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -46*c**3 + 28*c + 90. Is 13 a factor of p(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50 is divided by 91 + -57 + -3 + -2 + 1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -3827*s + 3827*s - 16*s**2. Let k(q) = -q + 11. Give k(i(b)).\nAnswer: 16*b**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -2*a**2 - a - 3*a**2 + a**2 + 0*a - 1. Let y(k) = -k**2 - k. Let b(d) = -i(d) + 5*y(d). Determine b(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, t: 2, s: 12, x: 1, v: 1}. Give prob of picking 2 s.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 954, -1\/2, -2166.8?\nAnswer: -2166.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Are -6\/436055 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-7) - (10\/14 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*a + 105 = -4*a. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -619, -1239, -1859, -2479?\n\"Answer: -620*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**2 + 8*b - 5. Let d be s(7). Let r be d\/(4\/5)*2. Suppose 31 = -4*v + r*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -16.11 from 8216663.\nAnswer: 8216679.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1079*m + 1179*m = -400 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-20)*10\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -d (base 15) to base 7\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4050010 - 4050010.01699957. Let k = a - -0.017. What is k rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-5625)\/(-40)*14 - (-2)\/8. Suppose u = 6*x + 25. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -364*a**2 + 55*a + 1. Let v(o) = 367*o**2 - 66*o - 1. Determine -6*h(m) - 5*v(m).\nAnswer: 349*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 118*h - 36 = 127*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that j**3 - 2*j**2 - 5*j + 6 = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6681)\/(-11790) + (-18)\/60.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1\/23501 - 3783691\/705030. Find the common denominator of -55\/28 and t.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 10*i. Let r(q) = q**2 + 2*q - 2. Let u be r(-3). What is the units digit of h(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.134 and 7.\nAnswer: -0.938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5776 + 5783. Let f(t) = 2*t**3 - 13*t**2 - 7*t + 4. Calculate f(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 7 = -5. Solve 5*a + 21 = j, 5*j = y*j + 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 649739.\nAnswer: 649739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-19)\/((-95)\/20)*((-66)\/(-24))\/11\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 14795 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - g**2)*(-3*g + g + 4*g)*(-1105 - 433 + 153).\nAnswer: 2770*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 5*f = -28, 3*a - 2*f = -0*f + 20. Let w be (a\/7)\/(2\/7). Let 0*m + m**w + 2*m + 0 + 1 = 0. Calculate m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wobvq. What is prob of sequence ovqw?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**2 + 5*u - 4. Calculate n(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -581*s + 29 - 29 + 1752*s**3 + 3*s**2 - 1749*s**3 to r + c*s**2 + x*s + i*s**3 and give x.\nAnswer: -581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 580, 1162, 1742, 2320, 2896, 3470, 4042?\nAnswer: 4612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(270)*-2)\/(-5*sqrt(45)\/sqrt(5)))\/((sqrt(96)*-2 - sqrt(96)) + sqrt(96) - sqrt(54)\/(sqrt(9) + 1*sqrt(9))).\nAnswer: 8*sqrt(5)\/85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7.61 - 0.39. Which is the third smallest value?  (a) -1\/6  (b) k  (c) -5  (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2191622721.\nAnswer: 3, 730540907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 115110739 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 - 0. Suppose 5*a = 3*m + 205 - 218, 15 = 2*m + 3*a. Put m, -5, -2, r in decreasing order.\nAnswer: m, r, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -7452849, -14905741, -22358633, -29811525, -37264417?\n\"Answer: -7452892*n + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5224 + 9191. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1492 - 446. What is the hundreds digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1.2  (b) 3  (c) -2\/3  (d) -3922  (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1892 divided by 473.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 4*s + 1 = 0. Let l(r) = 3*r + 1. Let p(k) = -10*k - 2. Let q(i) = 7*l(i) + 2*p(i). Let n be q(s). Solve -j - n = 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: 2\/(-3)*-1*(-6)\/20\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 193876889?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 12)*((-3*j - 2*j + 3*j)*(2 - 3 + 0) - 9 - 18*j - 10 + 17*j).\nAnswer: -12*j + 228","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + l - 2*r + 4 = 0, -2*l - r + 2 = 0. Suppose l = y - 3*y + 8. Let s be 2\/((-4)\/2)*-10. What is the highest common factor of s and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42525*l + 1 - 42524*l - 1 + 0.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**5\/3 - 13320*b**4 - 39954*b**3.\nAnswer: -2*b**3*(b + 3)*(b + 19977)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -7*d**2 - 2*d + 2. Let q be (-8)\/24 + (-2)\/3. Let b(u) = -u**2 - u + 1. Let k(c) = q*g(c) + 2*b(c). Let s(p) = 2*p. Calculate k(s(o)).\nAnswer: 20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o**3 - 700*o**2 + 6361*o - 14180 = 0.\nAnswer: -709, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 2*r**2 + 16*r + 40. Suppose -4*k + 54 = -3*l - 14, 2*l - 34 = -3*k. Is o(k) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 524 = -4*u. Let q(n) = 524*n - 13*n**2 - u*n. Let v(g) = 2*g**2. Calculate q(v(l)).\nAnswer: -52*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the third derivative of 13*n**5\/60 + n**4\/24 - n**3\/6 + n**2. Let c(b) = b + 4. Let a be c(-1). Is u(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -3.67 and -0.02.\nAnswer: -3.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:23 AM and 10:50 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (sqrt(171) - 1*sqrt(171)*-5)\/(sqrt(108)\/sqrt(108) + sqrt(9)))**2 + 1.\nAnswer: 36*sqrt(19) + 1607\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**3 - n**2 - n + 2. Suppose -2*g - 3*g = 0. Let w be s(g). Suppose -q = -5, 0 = -4*d - 0*d + w*q + 2. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 115\/276 - (-2827)\/(-132).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/(-10)*((-375)\/(-10))\/5. Put u, -5, -0.09 in descending order.\nAnswer: u, -0.09, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -31638 + -3656?\nAnswer: -35294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0\/(3 + 8\/(-4)). Let p(w) be the second derivative of 0 - w + s*w**2 + 2\/3*w**3. Let g(f) = f**2. Calculate p(g(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 20\/8*(-6)\/(-15). Let s be (-85)\/(-5) + (-1 - h). Let c = 8 + s. What is the remainder when 66 is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 21306 and 3021.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, y: 1, o: 2, p: 2, q: 2, v: 7}. Give prob of sequence pvl.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 47500000 to the nearest one million.\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - 9 - 3 - -5) + 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*k + 84770 = 83546 for k.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -117842.645 - 6.\nAnswer: -117848.645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that -o**2 - 2189*o - 4374 = 0.\nAnswer: -2187, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhhcchxhc. What is prob of picking 4 h?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1\/(-4))\/((-3)\/(-18)). Let w = -255 - -286.6. Let b = -34.3 + w. Sort 2, b, o, -0.3.\nAnswer: b, o, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 119\/1010 and -30\/7777?\nAnswer: 77770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -221*i + 3994. Determine d(18).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 4788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 114848 + 631185. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/1*(3 - 3). Suppose 2*b + 2*c = w, -5*b = -0*b + 2*c - 9. What is the hundreds digit of b\/((-15)\/(-10)) + 203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.057 in -0.13, -2\/7, -3\/5, 5\/74?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 153*j**2 + 0*j + 0*j.\nAnswer: 153*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*v = 7*v - 8 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 27b (base 16) in base 10?\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22190 - 71855 - 37330 = 3764*y + 184801 for y.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1741, 1704, 1667, 1630, 1593, 1556?\nAnswer: 1519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 2*g + 2 = 0, -5*g + 12 + 8 = 0. Is 44 a factor of ((-9)\/2)\/f - (-173)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1630?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t*t**(-8\/3)*t)\/((t**(1\/3)*t*t)\/t))\/(t\/(t*t*t\/(t*t**(2\/19))*t)*t*t*t**(2\/5)) assuming t is positive.\nAnswer: t**(-143\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = -4*o - 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 3*h**2 - 5*h - 2. Let m be o(2). Sort 4, 10\/3, m in decreasing order.\nAnswer: 4, 10\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.8 - 1.7. Let v = 163 + -1469\/9. Which is the smallest value?  (a) z  (b) 2  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -6 - ((-1 - 2) + -5). Let b(g) = 356*g - 53. Is b(w) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -4 + 3 - -11 - -2. Suppose -4*v + v + i = 0. Suppose 4*x = 4*s - 252, 54 + 198 = 4*s + v*x. What is the highest common divisor of s and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) 1  (c) 189\/11  (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.3 * -58.\nAnswer: 75.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 13 + (-6 - -4) + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4597 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 25*n + 2. Let a(k) = -276*k - 23. Give 2*a(l) + 23*m(l).\nAnswer: 23*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 92*x + 1371. Calculate l(-15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -95*i**2 + 176*i**2 + 1 - 5 - 2*i - 78*i**2 + 3 - 34*i**3 as o*i**2 + g*i + y*i**3 + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 8\/14 + (-32294)\/(-7). Is (-5)\/2*(l\/(-10) + 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 174 divide 849990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does -0.036902 = -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14e9 (base 15) to base 4.\nAnswer: -1012032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the third derivative of 0 + 1\/12*r**5 + 0*r - 5\/24*r**4 - 35*r**2 + 1\/24*r**6 - 5\/6*r**3. Factor m(t).\nAnswer: 5*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 4*t - 7. Let a be x(6). Suppose -l + a = -0*l. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7 - (-36 - 15) - 38)*(-2)\/(-148)?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3715559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 2\/7*a**5 + 48\/7*a**2 + 0*a + 8*a**3 + 20\/7*a**4.\nAnswer: 2*a**2*(a + 2)**2*(a + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 5*h - 6*h + 17*h**2 + 1 + 0. Calculate c(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -10*j - 146. Determine o(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1 and 824.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -16362 + 27906. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*n**2 - 5*n**2 - n**2 + 3*n**2.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55 + 7 - 52*u**2 + 26*u**2 - 2 + 29*u**2.\nAnswer: 3*u**2 + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((10\/(-8))\/((-125)\/50))\/((-65)\/10)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 10106 - 1116. What is the hundreds digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 31, -73, 5, -1 in decreasing order.\nAnswer: 31, 5, -1, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4640, -4626, -4596, -4544, -4464, -4350, -4196, -3996?\nAnswer: -3744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + z + 3)*(-1 + 3*z + 1 + (-1 + 3 - 1)*(5 - 5 + 3*z)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 18*d + 61*d - 57*d**2 - 21*d wrt d?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rh when two letters picked without replacement from hrhh?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, d: 1, p: 12, g: 2, w: 2}. Give prob of sequence pge.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**2 + 2*h - 6. Let x be m(4). Suppose -4*k + 2*j + 32 = 0, k + 2*j = -j + 22. Let w = k + x. Put -2, 4, w in ascending order.\nAnswer: w, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - ((3 - 1) + -3)) + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -2*k**3 + 4*k**2 - 2*k - 3. Let h be w(2). Suppose -i + 17 = 4*m, 5*m = -i - 0 + 22. Let x be 59\/7 - i\/h. Is 0 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 37, 0.3, -0.4, -4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 160, 626, 2028, 4846, 9560, 16650, 26596, 39878?\n\"Answer: 80*d**3 - 12*d**2 - 58*d + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25200.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:21 AM and 1:18 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 2*i - 1. Let w be g(1). Let m be 10\/w - (2 + 0). Solve 2*c - x = x - m, -2*x = -5*c - 17 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(720) + 0)**2 + sqrt(720)*-1 + -2 + (-2*sqrt(720) - sqrt(720))**2 + -5 + sqrt(720) + (sqrt(720)*-4)**2 + 3.\nAnswer: 18716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 1, p: 1, m: 9, y: 5, c: 2}. Give prob of sequence ccm.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1496974 is divided by 213802?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 19535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 419 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (219 - 38)\/(1\/(-43)). Are -7783 and b unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 4, o: 1, e: 2, m: 2}. Give prob of sequence eomm.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-38 - (-1)\/(-1))*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 483948 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Expand (12 + 7 - 21)*(-y - 1 + 1 - 5*y + y + 2*y + (0*y + y - 2*y)*(-5 + 3 + 4))*(12*y + 13*y - 9*y).\nAnswer: 160*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((-5*(-2 + sqrt(637)) + 3)*-2 + -1)**2.\nAnswer: -3780*sqrt(13) + 64425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-2\/19)*j)**(-4) assuming j is positive.\nAnswer: j**(-68\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -607*y**2 + 223*y**2 + 204*y**2 + 204*y**2.\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000316952079 to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:50 PM and 2:22 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 0.2  (b) 3224  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15294603?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b**2 + 5*b + 1. Let z be y(6). Let n = -66 + z. Suppose -v - 1 = n. Sort v, -0.1, 0.1, -0.2 in ascending order.\nAnswer: v, -0.2, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 681 is divided by 318?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -32*s**2 + 3*s. Let y(c) = -c**3 + 3*c**2 - 3*c + 3. Let f be y(3). Let q be u(f). What is q rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12839 + -940. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**2 - 8*k + 8. Let b be l(8). Suppose 3*y + 28 + 5 = 3*u, -4*u + b = 5*y. Solve 0 = -2*r - 3 - u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the second derivative of g**3\/6 + 6*g**2 + 2*g. What are the prime factors of s(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 726 or 730?\nAnswer: 726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -3*l**5 + l**3 - l. Let m(a) = 2081*a**5 + 6*a**3 + 2114*a**2 - 6*a. Let j(n) = 6*b(n) - m(n). Find the third derivative of j(c) wrt c.\nAnswer: -125940*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**2 - 2. Let s(i) = -3*i**2 + i - 6. Give 2*s(h) - 7*w(h).\nAnswer: h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 47\/4 of a micrometer?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p = -5*w + 15, p - 2 - 3 = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 70737166, 70737169, 70737172, 70737175, 70737178, 70737181?\n\"Answer: 3*z + 70737163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 62, -5, 2\/669, -63 in descending order.\nAnswer: 62, 2\/669, -5, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**5\/5 + n**4 - 9*n**3\/5 + 7*n**2\/5 - 2*n\/5.\nAnswer: -n*(n - 2)*(n - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f**2 + 9*f + 16. Let i be o(-7). Let t = i + 284. Suppose 4*g + 0*g = t. What is the remainder when 139 is divided by g?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**2 - 5*q - 2. Let w be f(-3). Let o(g) = 3*g - w*g + 0*g + 3*g. Let p(a) = 2*a**2. What is p(o(m))?\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0089278 rounded to four dps?\nAnswer: 0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1610881934 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = t - 4. Suppose 8*c - 22 = -t*c. What is the smallest value in c, -68, 3\/2?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -5*p**3 - 32*p**2 - 26*p - 108. Determine d(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 815*z**2 + 6*z - 1. Is l(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z**2 + 2*z + 5. Let t(c) = c + 4. Let p(r) = -4*i(r) + 5*t(r). What is the second derivative of p(u) wrt u?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by 1837.\nAnswer: -2\/1837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 2+-26456274.6155\nAnswer: -26456272.6155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -21\/2 + 31\/3. Let h = 35 + -25. Let c = h - 6. Sort y, 2, c.\nAnswer: y, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6\/(12\/25)*-6. Let w = o - -451\/6. Which is the closest to w?  (a) 5  (b) 4  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 5738404, 11476806, 17215204, 22953598, 28691988, 34430374, 40168756?\n\"Answer: -2*r**2 + 5738408*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*d + 3*r + 12, d + r - 16 = -3*d. Suppose -k + 4 = 0, 16 = -0*p + 2*p + d*k. Solve p = 4*a - 1 + 13 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1187887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1713 - -1717. Solve 2*a - 6 = -t*p, -4*p + 0*a + 15 = 5*a for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2377.8613 - 2378. Round j to 2 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30853?\nAnswer: 30853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f + 13. Let o(b) = -b - 12. What is 4*o(l) + 3*z(l)?\nAnswer: -l - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 797.9511 milliseconds in seconds?\nAnswer: 0.7979511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16, 29, 40, 43, 32, 1, -56, -145?\nAnswer: -272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 2 l, and 1 a when four letters picked without replacement from lpllrraaprpa?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 10 = -15. Suppose 54 = 4*a - p, 4*a - b*p - 62 = -0*p. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-three fifths of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 530.1763 years to centuries.\nAnswer: 5.301763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1642, 1637, 1630, 1621, 1610, 1597?\nAnswer: 1582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(432)*2 + sqrt(432))*2 - sqrt(432))\/((sqrt(81) - (sqrt(81) - ((sqrt(81)*-1 - sqrt(81)) + sqrt(81)))*1)\/sqrt(9))*6.\nAnswer: 600*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -3*n - 26. Let y be u(-13). Let b = -9 + y. Suppose b*a = 3*a - 3*i, 0 = -5*a + 2*i. Which is smaller: 3\/11 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 294096564?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 49\/55935 and 14\/2442495.\nAnswer: 7327485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2299 and -1185?\nAnswer: -2724315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -77.2, 4, 1\/4 in increasing order.\nAnswer: -77.2, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-1\/10)*w\/(w**(-4\/5)*w)*w\/w**(13\/2)*w*w**(-1\/9)\/w assuming w is positive.\nAnswer: w**(-221\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-3 + sqrt(80)\/sqrt(4)*5)*3*-5.\nAnswer: -300*sqrt(5) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/4 in -3, -2, 983\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-46))\/((20\/45)\/((-1320)\/1485))?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 9*v**2 + v**3 + 3 + 8528*v - 20 - 8522*v. Calculate n(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 477160509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 47593495?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 86579 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 2*k + 12. Let n be t(-6). Suppose 2*v = -n*v + 6, 2*q - 40 = 2*v. Suppose 1 = 4*m - 11. Solve 0 = -m*a + 2*o - q, -a = -0*a + 2*o - 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 1409*i**3 - 7*i**2 + 72*i - 73. Is k(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 37*f + 2*f**2 - 4*f**2 - 36*f - 278*f**3 + 54*f**3 to k*f**2 + l + y*f**3 + r*f and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 2*t - t = 18, 4*o - 2*t - 34 = 0. Calculate the highest common factor of 42 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -2, 3, 4, -3 in decreasing order.\nAnswer: 4, 3, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hrb when three letters picked without replacement from {r: 3, b: 4, h: 1, l: 2, f: 7, c: 1}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 220 = j - 2*t, -4*j - t + 473 = -362. Calculate the highest common divisor of j and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (111\/2 - -1)*-2. Let y = h + 204. Is y - (2 - 2 - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, -0.487, -15\/16, 395, 4\/7.\nAnswer: -15\/16, -1\/2, -0.487, 4\/7, 395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = 5 - 0. Let o(y) be the first derivative of 2*y**3\/3 + 4*y**2 + 4*y + 72. Determine o(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -158, -305, -440, -557, -650, -713, -740?\nAnswer: -725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 17054482.\nAnswer: -2\/8527241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.95048688 rounded to one decimal place?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -71419, -142821, -214231, -285643, -357051?\n\"Answer: g**3 - 10*g**2 - 71379*g - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.1 times -190?\nAnswer: -399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*h**3*r**3 + 7*h**3*r + 68*h**3 + 2*h**2*r + 30*h*r**3 + 123*r wrt h?\nAnswer: 18*r**3 + 42*r + 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3433.2 * 14968.\nAnswer: 51388137.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 901 + -869. Suppose -21*v + 220 = -a. Suppose j = 3*p - 356, 1 = -2*j + 9. What is the greatest common factor of v and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**3 + 9*x**2 + 7*x - 4. Let m be c(-8). Suppose 9 = -2*d - 3*k, -d - d - 2*k = m. Suppose -d*g = -4 - 5. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 66\/22*4\/(60\/3)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the third derivative of -a**5\/5 + 12*a**2 + 2. Let w(y) = 5*y. Calculate z(w(h)).\nAnswer: -300*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 23, -2\/209, -23, -0.3, 1\/2 in increasing order.\nAnswer: -23, -0.3, -2\/209, 1\/2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3754.55083 and -4.\nAnswer: 15018.20332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(1*-1*sqrt(288) + -2*(sqrt(288) + (sqrt(288) + sqrt(288) + 1)**2)).\nAnswer: -6918 - 396*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 134722777 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*b*p**3*t + b*p**3 + 4*b*p*t**2 + 44*p**3*t**2 - 3*p**2 - p*t**2 wrt p.\nAnswer: 12*b*t + 6*b + 264*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 - -1. Solve -2*v + 0*d + 11 = r*d, -2*d = 5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 1946*v**2 - 3928*v**2 - 1 - 1 + 1986*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(252) - (-2 + sqrt(252))**2*-1) + (sqrt(7) - (2*sqrt(567) - sqrt(7)))**2 + (1*sqrt(7)*5)**2.\nAnswer: -18*sqrt(7) + 2223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 355539624 to the power of 1\/2, to the nearest integer?\nAnswer: 18856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 21*y + 7. Let z be p(-2). Let r = z + 34. Let g be r*((-77)\/21 - (-1)\/(-3)). Let k(s) = -s**2 + 5*s - 3. Determine k(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4 + 5. Let a be 20\/(-8)*(-2 + 0). What is the nearest to -1 in -0.2, s, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -g**2 + 9682623*g + 32351357 wrt g?\nAnswer: -2*g + 9682623","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the first derivative of -w**4\/4 + 2*w**3 + 3*w**2\/2 - 10. Let k = 26 + -12. What is the smallest common multiple of q(6) and k?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -7569, 5, 6\/13, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 2*v**2 + 28*v + 7. Suppose 1910 = 22*i + 2240. What is a(i)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20 (base 3) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**13*a**(-5)*a*a*(a*(((a**(2\/3)*a)\/a)\/a)\/a*a)**(-18))**(-38\/7) assuming a is positive.\nAnswer: a**(38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 2*i = 45, -2*b - 18 = -4*b + i. Suppose -3*y = -3*n + 2043, 2*n - 1356 = -b*y + 5*y. What are the prime factors of n?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -3184301, -3184306, -3184313, -3184322, -3184333?\n\"Answer: -r**2 - 2*r - 3184298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 64896527 is divided by 2364.\nAnswer: 2363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p - 4*p - 129. Let k be (-5*8\/24)\/(6\/216). Let n = p - k. Calculate the greatest common factor of 17 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0052387313 to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3617047264 to the power of 1\/2, to the nearest integer?\nAnswer: 60142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -178.000109 + 178. Round g to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0, -124, -2 in increasing order.\nAnswer: -124, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -428\/1845 - -2\/205. Suppose -4*y - 4 = -2*f + 6*f, y - 5*f + 13 = 0. Which is the nearest to -1?  (a) 0.1  (b) y  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 2*c - 12. Let g be k(8). Suppose 2*h - 18 = h + 3*y, -5*h + 2*y = -25. Let o be ((-3)\/(-1))\/(1\/h). Solve s = -3*s - g*v - 24, -4*s = v + o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 + 3 = -2*k. Let q = 19 + -10. Suppose -a - 2*a = -q. Solve 2*g - k = -a*z, -4*g + 0 - 2 = z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/4, -4\/5, 36\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 8 + -2*(5 - 3). Solve 4*n = -0*n + b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4113 or -6\/7069?\nAnswer: 4113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -694585, -1389190, -2083795, -2778400?\n\"Answer: -694605*r + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 5*p + 74. Let y = p - -22. Calculate the remainder when 27 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 83498826?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -157 = -14*t - 255 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -21922 and 12.91?\nAnswer: 21934.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-24)\/9*(-48)\/640. Let p = 4 - 5. Which is the nearest to p?  (a) m  (b) -4  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 3*b + 279 = -435, -6*b = 3*m - 2187. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 370 minus 314?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 11081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*y + 13*y - 2308 = 0. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -55, -113, -171, -229?\n\"Answer: -58*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1307009 to the nearest integer?\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 679 minutes before 6:16 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 3*u**2 + 0*u**2)*((2 + 4 - 5)*(-3 + 3 + u) - 19*u - 8*u + 23*u).\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -36 + 39. Suppose 2*l - 3 - 4 = -5*g, -3*l + a*g = 0. Let f be ((-2 - -2)\/(-4))\/l. Which is smaller: 1\/36 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9387*m - 9406*m + 1250162. List the prime factors of m.\nAnswer: 2, 167, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11885 - 297083\/25. What is the common denominator of m and -53\/30?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the first derivative of w**4\/24 - w**3\/6 - 33*w**2\/2 - 27. Let d(t) be the second derivative of o(t). Suppose 0 = j + 2*j + 15. Calculate d(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1343 - 4)\/(1 - 4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(432)*-5 + -3 + sqrt(432) + sqrt(432)*4*-3))**2.\nAnswer: 1152*sqrt(3) + 110601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x - 0*x + 5*q + 19, 0 = -x + 5*q + 17. Let i(a) = -a + 8*a - 4 + 17*a**3 + 3*a - 16*a**3 + 11*a**x. What is i(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 + 0)*(-85)\/(-136)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 80697\/148 + -2*1\/8. Suppose -i - 355 = -5*s. Is s bigger than 180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 16*l + 21. Let b be w(-8). Let x = 2 + b. What is the hundreds digit of 3*(-2 - -3) - x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.00411us to milliseconds.\nAnswer: 0.00200411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 215228 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 + 2. Suppose 5*j = -5 - 0. Let t be (-2)\/j - (-1 + 0). Solve 3*c + 3 + m = 0, -t*c = -2*i + 9 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 87922086979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**2 + 5*y + 4. Let u be o(5). Suppose 3*i + 3*r - 51 = 0, -7*r + 70 = 4*i - u*r. Suppose -3*n - i + 158 = -4*a, 0 = n - a - 48. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jomv when four letters picked without replacement from {v: 6, z: 1, m: 2, j: 2, o: 3, u: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 156 minutes before 2:58 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -5 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 30914 and 11890?\nAnswer: 154570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -250*c = -247*c - 4*m + 17, -2*c - 3*m + 10 = -2*c - 5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 13002020 + -2022?\nAnswer: 12444443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 53 = -2. Suppose 16*k - 817 = 52*k - 3589. What is the greatest common factor of z and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4, -40, -98, -178, -280, -404, -550?\nAnswer: -718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 16*v**3 - 5*v**2 - 31*v + 15. Is u(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 198 is divided by 30.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y - 5 - 10. Let x(h) = h**3 - 7*h**2 + 6*h + 3. Let d be x(6). Let f = -1 + -2. What is the closest to 1 in d, f, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41.83 rounded to 0 dps?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is c6a83 (base 15) in base 2?\nAnswer: 10011001110101101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/213 and 2\/355.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 151727861?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 56 a factor of 240898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 145 divided by -7\nAnswer: -145\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**2. Let q(y) be the first derivative of -y**3\/3 - 27*y**2\/2 - 29*y + 1. Let d be q(-25). Let f(b) = -12*b + 6*b - d*b. Determine f(s(i)).\nAnswer: -27*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 31\/9  (b) 2  (c) -92  (d) 0  (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5624 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 + -72454?\nAnswer: -72456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73544 is divided by 161?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.16 + 18.16. Let q = 243 + -221.4. Let s = q - j. What is s rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:34 AM and 10:15 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 5 + -3 - (-2 + -1). Sort b, -2, 1.\nAnswer: -2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the third derivative of t**6\/24 + 29*t**5\/12 + 175*t**4\/3 + 750*t**3 + 4*t**2 + 45*t. Factor p(i).\nAnswer: 5*(i + 9)*(i + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*m + 15*m - m)*(621 - 1457 + 704).\nAnswer: -2904*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1242*n = -1142*n - 3691000. List the prime factors of n.\nAnswer: 2, 5, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(156)\/((sqrt(48)\/sqrt(6))\/sqrt(2) + sqrt(4)))\/(5*sqrt(30)\/(2*sqrt(10))).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-4))**(2\/13)*(t**(-7\/4)\/t)\/t**(-13))**(-35) assuming t is positive.\nAnswer: t**(-17535\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1241 = 8*p + 281. What is the greatest common factor of p and 1350?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:40 PM and 3:35 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -64, -69, -76, -85, -96, -109?\n\"Answer: -g**2 - 2*g - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -16757 + 27176. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71 = -5*w + q - 4, 5*w + 3*q - 59 = 0. Let r = w - 53\/4. Let j = 33\/2 - 565\/34. What is the closest to -0.2 in r, j, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 15786 = k, 6*p - 37132 = 2*k + 57592. What is the thousands digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8933947 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**2 + 30*h + 11. Suppose -7*l + 46 = -3. What is the hundreds digit of y(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.5 - 2.5. Let r = d - -5.28. Let w = -0.28 + r. Which is the closest to -2\/3?  (a) 3  (b) w  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 13*n**3 + 5*n**2 + 1 - n**4 - 3*n**2 + 0*n**4 - 11*n**3 in the form p*n**2 + m*n**3 + c*n**4 + i + r*n and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -18*i**2 + 20*i - 199. Let p(o) = -6*o**2 + 7*o - 66. Let t(z) = 11*p(z) - 4*q(z). What is the derivative of t(b) wrt b?\nAnswer: 12*b - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 59*q. Let m(r) = -70*r - 44. Let t(w) = -10*w - 6. Let p(a) = 3*m(a) - 22*t(a). Determine p(f(i)).\nAnswer: 590*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11 + 15. Let i be 23\/6 + (-4)\/(-24). Suppose p + i*u - 13 = 0, z*p + u = -p + 46. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 108 and 54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2599 and 499347?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1258 - 293117\/233. Let u = g - -3041\/932. Let h = u + -3. Which is smaller: 6 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 86119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 32.4 - 32.4. Let y = -411.9 - -412. Which is the closest to f?  (a) -2  (b) y  (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = 2*b - 7, 0*c + 3*c = -2*b + 13. Calculate the smallest common multiple of b and (2\/4)\/(3\/24).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 73*g + 24 = 76*g - 6*c, 2*g - c - 13 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 92 - 36 = 8*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82*b = 77*b - 318. Sort 4, b, -96, 22.\nAnswer: -96, b, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4354 = -5*q - 944. Does 62 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*g - 488 = 48*g + 547 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kqyykqyyqy. Give prob of sequence yy.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -208*k + 213*k - 10. What is the fifth smallest value in -3, k, 3, -7, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x - 2*j = -14, -3*j - 745 = x - 749 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (u + 4*u - 3*u)*(0 + 40 + 14)*(4*u - 4*u - 4*u) as t + x*u**2 + l*u and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = -0*o + 2*o - 49, 4*l - o = -41. Let d = l + 10. What is the smallest value in d, 2\/9, 0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6513.\nAnswer: 3, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6127227 milligrams in kilograms?\nAnswer: 0.0000006127227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z**5 + 5 - 5)*(-1 + 1 - 3).\nAnswer: 6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that s**2 + 58416*s + 58415 = 0.\nAnswer: -58415, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.163 and 235610.\nAnswer: -38404.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d - 15*q + 3*q - 2*q = -9*q + 30, 2*q = 2*d - 16 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-12)\/9*15\/(-10). Suppose f + 4*y - 57 = -10, n*f - 74 = -4*y. Is f a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*26128.\nAnswer: 26128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -221367, -221365, -221363, -221361, -221359, -221357?\n\"Answer: 2*f - 221369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3285.33 less than -4?\nAnswer: -3289.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -13 - -17. Solve -a*r + 6 = -14 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide (2 - 0)\/(1\/17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**2 - 18*n - 69. Let u be i(-11). Suppose -10*k + u = -12. Solve 4*l = -0*p - k*p - 4, 0 = -5*l for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -160*z**3 - 620?\nAnswer: -480*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 7 + (6 - 4)\/(-1). Solve m = 4*u + 21 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3\/(-1 + -2)*11. Let u(f) = f**3 + 11*f**2 + 2. Let a be u(c). Suppose -a*v + 128 = 2*v. What is the highest common factor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -5*w - 0. Let n(m) = 8 + 7 - 10 - w*m. Let f(v) = v - 1. Determine -6*f(s) - n(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/64 and 63\/632?\nAnswer: 5056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 473 is divided by 231.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add -10.2086 and 5.06.\nAnswer: -5.1486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1608111793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n - 7 = -i, -6*n + i = -4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a\/(a*a*((a*a**1)\/a)\/a)*a*a*a*a)**(2\/91))**(1\/34) assuming a is positive.\nAnswer: a**(4\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 + 58804?\nAnswer: 58803.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0127243903 rounded to four decimal places?\nAnswer: -0.0127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 839677 divided by -1159\nAnswer: -839677\/1159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*h - 5*h + 8*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3946332 divided by -151782?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5 + 57.8.\nAnswer: 58.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 114 a factor of 48897906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p + 7. Let y be m(15). Let n = 18 + y. What is the highest common divisor of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**3 + 7*r**2 - 12*r + 47. Determine u(5).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(2\/15)*k\/k**(-2\/7)*(k*k\/((k**(3\/8)*k)\/k*k*k))\/k*k\/k**5*(k**1)**(-1)\/(k\/(k*(k*k**(-2\/5))\/k)*k**(-4\/3)) assuming k is positive.\nAnswer: k**(-3379\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 404, 735, 1066, 1397?\n\"Answer: 331*x + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4887 - -4860) + (1 - -1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than or equal to -1\/38033442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 185 = -3*p, -5*d + 5*p + 854 = -51. Let t = 334 - d. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**2 - 8*g - 1. Let i be d(6). Suppose 379*m - 369*m = 10. Are m and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 607 minutes before 6:59 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 54 a factor of 24581439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**3 + 2*z**2 + z + 1. Let i(s) = -7*s**3 + 8*s**2 - 5*s + 2. Let o(l) = -2*g(l) + i(l). Let r(d) = -9*d**3 + 8*d**2 - 13*d. Give 11*o(y) - 6*r(y).\nAnswer: -y**3 - 4*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2*sqrt(363)*-3 - sqrt(363))*2 + 2)*4)**2.\nAnswer: 7040*sqrt(3) + 580864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.74  (b) 1  (c) -20  (d) -1  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h - 974 = -356. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -17 * -0.157483.\nAnswer: 2.677211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 64\/2071?\nAnswer: 64\/2071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -19910 or -19906?\nAnswer: -19906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 - 4.4. Let l be (-2)\/7 - 45\/(-84). Which is the closest to 0?  (a) 5  (b) z  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -2*d + 432. Let u(h) = 31*h + 31*h + 34*h + 39*h - 140*h. Give l(u(r)).\nAnswer: 10*r + 432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38015 is divided by 3454.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -54 - -69. Suppose g = 16 + n. What are the prime factors of g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 72238 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13345456?\nAnswer: 2, 37, 22543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (17 + -7 + -5 + 6 - 4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2759623 is divided by 13141.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7*k**5 + 9*k**4 - k**3 + 36*k**2 + 3*k - 26298?\nAnswer: 140*k**3 + 108*k**2 - 6*k + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: ((-13)\/(-20))\/(137\/(-1096))*5\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 174 = 5*r - 4*p + 24, -3*p = 4*r - 120. Calculate the greatest common divisor of 165 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2.7 - 0.7. Let n = i - 1. Are 2 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:08 AM and 8:58 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 341022.7l in millilitres?\nAnswer: 341022700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 - 165472?\nAnswer: -165473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -5 - b**3 + 4*b**3 - 2*b**3. Suppose -4*i - 7*i = 715. Let v = 60 + i. Let q(c) = 1. What is v*q(l) - j(l)?\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 2*o + 4. Let g be i(-4). Let u(j) = 1. Suppose 5*q - 417 = -92. Let a be q\/78*-3*8\/10. Let m(v) = -2*v - 2. What is a*m(n) + g*u(n)?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/11767 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s. Let n(x) = -x**2 - 5*x - 3. Let l be n(-3). Let h be 48\/(-9)*l\/(-2). Let a(q) = q**2 - h + 0 + 8. Calculate a(b(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1696 - -1709 - (24 + 2 - (-2 - -4))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 26492240 divided by -1655765\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 111, 929, 3149, 7473, 14603, 25241?\nAnswer: 40089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -48544, -48552, -48560, -48568?\nAnswer: -48576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 125 - 125.4. Let p = 11 + 1. Suppose -5*y = -4*l + 3*l + 18, 4*l + p = -y. What is the nearest to -2\/7 in o, -5\/3, l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 170432.779 to the nearest 10.\nAnswer: 170430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 152791036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**2 - 23*w - 47. Let v be r(25). Suppose v*g = 25 + 47. Suppose -31 = -7*j - 10. What is the greatest common divisor of g and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7469912 greater than 7469900?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -27575 - -124162.\nAnswer: 96587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1  (b) -6  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12251140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 34438 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -618 = -108*a - 98*a. What is the nearest to -0.1 in 14, 66\/5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - w = -p - 10, -p = -2*w + 5. Suppose 0 = -2*s + 3*t + w, 3*t = -4*s + 4 - 3. Let g = 14 + s. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -20 - -5?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -1\/7, -5 in ascending order.\nAnswer: -5, -1\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 960 times 1\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11010 + 100?\nAnswer: 11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 238272083783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1460 - 1391. Solve 67 - r = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 206*x + 26. Let r be w(-3). Let y(j) = -15170*j. Let f(m) = -77*m. Let k(q) = r*f(q) + 3*y(q). Let u(t) = -2*t. What is k(u(i))?\nAnswer: -148*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -561, -2262, -5105, -9096, -14241, -20546?\nAnswer: -28017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 + -4. Let d = -2 - s. Calculate the remainder when d + 3 + 4\/1 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 (base 6) in base 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12295.\nAnswer: 5, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and -33 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40\/(-48) + (-5109)\/(-18)?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -4*j**3 + 243*j**2 + 10*j - 4. Let r(q) = -2*q**3 + 122*q**2 + 4*q - 2. Give -7*r(g) + 3*y(g).\nAnswer: 2*g**3 - 125*g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-6\/5)\/d)\/(d**(-1)*d)*d*d**5*d**(-8) assuming d is positive.\nAnswer: d**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1360 and 40473872?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 16\/(-66)*(-12)\/16. Let l be (-27)\/(-396) + (-2)\/(-11). Sort 2, t, l.\nAnswer: t, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*t - 7 - 19 = 21*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -16*z**3 + 1. What is x(1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 26536123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 7 = 3*q, -q + 2*u = -2*q - 3. Let t be -4 + 10 + q + -3. Solve -5*r - 12 = 2*o, o + 4*r + t + 5 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes before 7:44 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 7*a**2 + 41*a + 9. Let q be ((-78)\/(-65))\/((-3)\/15). What is the smallest common multiple of y(q) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -72768740 or -72768741?\nAnswer: -72768740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -450 = -34*s - 41*s. Let n be 0\/s + (0 - -5). Solve -5*p - z = -3*z + 15, 2*z = -n*p - 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 4*m**2 - 4*m. Let g be f(-3). Let q be (3\/(-2))\/((-3)\/6). Suppose -j = q*j - g. What is the least common multiple of 4 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9.8 + -10. Suppose 476 = u + 203. Let h = u - 1095\/4. Which is the second smallest value?  (a) -0.6  (b) h  (c) -2\/5  (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s**4 - 9*s**3 - 169*s**2 - 399*s = 0. Calculate s.\nAnswer: -7, -3, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o**2 + 20*o + 22. Let g be p(-19). Suppose g*r + 983 = 293. Is 19 a factor of 13\/(-39) + r\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1059723244 divided by 3?\nAnswer: -1059723244\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}