{"text":"Question: Simplify ((-5*(sqrt(66) - (sqrt(66)*-1 + sqrt(66))*5))\/((sqrt(600) - (-1*sqrt(600) + sqrt(600))*2) + sqrt(600) + sqrt(600)))**2 + -2.\nAnswer: -61\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**3 + 9*l**2 + 6*l - 7. Let u be b(-8). Solve 5*x - 13 = -y, -4*y + 2*x = -u*y - 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - -8) + -2 - (-2 - (-760)\/130)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 698251932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-2)\/10*-3)\/((-3512)\/(-4390)). Factor 3\/4*h**3 + d*h**2 + 0*h + 0.\nAnswer: 3*h**2*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 7*l**2 + 12*l + 8. Let x(m) = 2*m**3 + 6*m**2 - 4*m - 22. Let o be x(-2). Let h(t) = 6*t**2 + 11*t + 7. Give o*h(g) + 5*a(g).\nAnswer: -g**2 - 6*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = g + 31. Suppose g*d = 29*d + 106. List the prime factors of d.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 89 a factor of 4096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 20942731 to the power of 1\/3, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: What is next in 272380, 272494, 272684, 272950, 273292?\nAnswer: 273710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 22*f - 128. Suppose -31*v + 965 = 90*v + 239. What is w(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -0*f + 4. Suppose -4*b - 4*q = -64, -11 - 9 = -2*b + f*q. What is the smallest common multiple of b and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16053.34+1\nAnswer: 16054.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -17*l**2*t**2*v**2 - 2*l**2*t**2*v + 7*l**2*t*v**3 - 24422*t**2*v**3 - 4*t*v**3 + 29989*t*v**2 wrt v.\nAnswer: 42*l**2*t - 146532*t**2 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r + 11*r = 2046. Let c = r - 181. Suppose j + 0*j = 8. Calculate the remainder when j is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**2 - 14*b - 10. What is the tens digit of p(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1028023\/48 >= -21417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 20529*b**3 - 13752*b**3 - 14509*b**3 + 842*b**2 wrt b?\nAnswer: -46392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 6.9, 4510, -0.5, 0.015?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**3 - s**2 - 90. Let a be x(0). Do -89 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 62.0001597 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put together -3500862083 and 5.\nAnswer: -3500862078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -999.6 + 7033475?\nAnswer: 7032475.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 77\/72 and ((-35)\/((-3640)\/741))\/((-33)\/4).\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 2*d**3 - 27*d**2 + 208*d - 2328. Determine o(13).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 48*c**4 - 5394*c**2 + 5393*c**2 + 2 as a*c**2 + s*c**4 + v*c**3 + m + f*c and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2947 - -3055 - 13182\/122.\nAnswer: -3\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5488 - -5195. Suppose -10*t = -t - z. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.566937 to 2 decimal places.\nAnswer: -2.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 245538407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 767444886 to the nearest integer?\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 24.1 - 3817\nAnswer: -3792.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14477884 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v + 16. Let d be y(14). Let g(k) = -15 - d + 6*k - 71*k. Is g(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 100\/35*(-203)\/(-5510).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 7*6\/(-21)*-2. Factor -3*w**j - 4*w**3 - 2*w**3 + 6*w + 6 - 3.\nAnswer: -3*(w - 1)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 - -8. Let g = 5 + k. Calculate the highest common divisor of g and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(96)\/(sqrt(12)*4) + sqrt(8))\/(((-6*sqrt(20))\/sqrt(5) - sqrt(4)) + sqrt(4)) + 0.\nAnswer: -5*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 4718, 8635, 12480, 16247, 19930?\n\"Answer: -c**3 - 30*c**2 + 4014*c + 735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 24*t + 47*t - 24*t + (3*t - t - t)*(-4 + 1 + 5) - 3*t + t + t + (0*t + 2*t + 0*t)*(3 + 0 - 2) to r + v*t and give v.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -4*g + 32. Let y(k) = -14 - 3570*k + 14 + 3563*k. Give y(z(m)).\nAnswer: 28*m - 224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 859423.\nAnswer: 859423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 886*z - 1463*z + 789*z = -24380 for z.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 6, b: 4}. What is prob of sequence bbkk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -3*t - 3494. Let p(d) = 3*d. Calculate c(p(w)).\nAnswer: -9*w - 3494","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (1 - (4 + 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -18, 1\/2, -3, 5 in ascending order.\nAnswer: -18, -3, -2, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 5089 a factor of 264984230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 3*q - 65574 = 0. Let x be 4\/(-6) - q\/(-27). Let h = -538 - x. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = -5*j + 35 - 36, -3*h - j + 13 = 0. Solve v - h = -1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes before 8:14 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y**2 - 3 + 3)*(4*y + 29 - 29 + (0 + 1 - 3)*(2*y + 3 - 3) - y - 3*y - 3*y + 0 - y + 0).\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -l**2 + 4*l**2 + 2*l**2 - 4*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 3*h = 15, 0 = d + 2*h - h + 6. Are d and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:25 AM and 9:30 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 14554*r**2 + 17*r - 1. What is the units digit of l(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**3 + 43*i**2 + 122*i + 79. Let z be v(-40). What is the nearest to 0.5 in -0.6, -3\/4, z, 4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*n + 70*n**3 - 3*n - 4*n**3 + 133*n**3 + 116*n**3.\nAnswer: 315*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4313\/10 + -427. What is the common denominator of -63\/22 and c?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l = -2*n + 10735 - 10744, 6 = -l - 3*n for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 40, -188, -380, -518, -584, -560?\n\"Answer: 3*j**3 - 249*j + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*z**3 - 5*z - 4*z**2 + z**3 - 3*z**3 + 5*z**2 to the form y*z**3 + q + m*z + p*z**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 6*g = 3*g - 123, -5*j = -3*g - 207. Let k = j + -32. Solve 5*u + 0 = -k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 63067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 + 4. Let o = -0.6 + i. Let z = 0 - 3. Which is the biggest value?  (a) o  (b) 3  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 55 and 104709?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0682 - 3?\nAnswer: -2.9318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 484 times -34955\nAnswer: -16918220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 3669, 1\/2, 3\/7, -0.11 in increasing order.\nAnswer: -0.11, 3\/7, 1\/2, 3669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the second derivative of -p**8\/336 - p**6\/40 + 5*p**3\/6 - 6*p. Let d(a) be the second derivative of t(a). Find the third derivative of d(m) wrt m.\nAnswer: -120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 21.024 + -21.024. What is the smallest value in -0.96, z, 0.4?\nAnswer: -0.96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*10\/(-15)*9?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 179\/2670 and -8\/231.\nAnswer: 205590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -83, -125, -167, -209?\n\"Answer: -42*a - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 28483, 28438, 28403, 28384, 28387, 28418, 28483, 28588?\nAnswer: 28739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of 11059 and 9.81004.\nAnswer: 11068.81004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, c: 1, q: 2}. Give prob of sequence qz.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6 + -1. Suppose u*m - 3*m = 48. Calculate the remainder when 640\/14 + 1\/(35\/10) is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the third derivative of -71*y**6\/360 + 7*y**4\/8 + 84*y**2. Let d(k) be the second derivative of a(k). Let p(i) = 2*i**2. What is p(d(u))?\nAnswer: 40328*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12 - -16. Let h = 4 - x. Suppose -2*q + q + 10 = h. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2210241 + 0?\nAnswer: 2210241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 561376, 1122746, 1684116, 2245486?\n\"Answer: 561370*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f\/(f**(-3\/7)*f)*f\/(f\/f**(-3))*((f\/(f**(-1\/3)\/f))\/f)**(3\/26) assuming f is positive.\nAnswer: f**(-220\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -646*q**3 + 15*q**2 + 56547.\nAnswer: -1938*q**2 + 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*x**4 - 2*x**4 + 5*x**4)*(0 + 0 - 1)*(10 + 11 - 14).\nAnswer: 7*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/8 - 27\/18.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-2 + 14) - (-6)\/88*(-10192)\/4680?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 20967 and 1758336?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -48*a - 296. Give p(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/8, 5, -7, -2\/13, -3, -14 in decreasing order.\nAnswer: 5, -1\/8, -2\/13, -3, -7, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 378673 is divided by 20986.\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((2 + 1 + sqrt(931))*6)**2 + (sqrt(931) + 3)*4*-6 + 2.\nAnswer: 1344*sqrt(19) + 33766","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2*6\/10)\/((-70)\/(-175)). Factor 0*k**2 + 0*k + 0 + 2\/3*k**a.\nAnswer: 2*k**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 + 1 - (-3 + 6)) + 24 + -27.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5876 and 5586.\nAnswer: 16411668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wp when two letters picked without replacement from ptpwpwwtw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -792, -788, -780, -768, -752, -732, -708?\n\"Answer: 2*n**2 - 2*n - 792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 5*(4 - 2)\/2. Let i(r) be the first derivative of -r**2\/2 + r - 131. What is i(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the second derivative of -1\/2*q**3 + 0 + 1\/20*q**5 + 1\/6*q**4 - 2*q**2 + 11*q. What is p(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*2*sqrt(26))\/(sqrt(8)\/(sqrt(4)*1)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 53 divided by -1305\nAnswer: -53\/1305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*j**3\/9 - 2*j**2\/9 - 26*j\/9 - 4\/3.\nAnswer: 2*(j - 3)*(j + 2)*(2*j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -66 by -18.\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1087, -16, 15, -2 in increasing order.\nAnswer: -1087, -16, -2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 5*v - 8 = 0, -4*r + v = 3*v - 24. Suppose -r*s + 363 = -s. What is the highest common divisor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8104128 divided by 24?\nAnswer: 337672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 + 4. Let l be (x - 0\/3)\/1. Is l greater than 1\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5, -58, -151, -284, -457?\nAnswer: -670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -6, -2, 0, -267, -4\/15, -0.14?\nAnswer: -267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(2*(sqrt(12) + (sqrt(12) - (1 + sqrt(12))) + sqrt(3) + sqrt(3) + sqrt(3) + sqrt(21)\/sqrt(112)))**2.\nAnswer: -1339 + 168*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6900 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 25*r + 29*r**2 + 18*r**2 - 45*r**2 + 8. Let j be z(-12). Put j, 2\/7, -1\/5, -5 in increasing order.\nAnswer: -5, j, -1\/5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the first derivative of t**5\/60 - t**4\/12 + 3*t**2\/2 - 4. Let z(c) be the second derivative of m(c). Find the second derivative of z(l) wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18, 0, 3, 4.\nAnswer: -18, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 0, -1\/386853, 5?\nAnswer: -1\/386853","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2\/7345 - 5802568\/66105. Let k = 88 + f. Which is the nearest to -2?  (a) k  (b) 1  (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 604533225 - 604533740.301071. Let z = u - -516.341071605. Let k = -1.04 + z. What is k rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/8)\/((-6)\/(-4))*2\/(-6).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by -2441238.\nAnswer: 1\/2441238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100010111001110 (base 2) to base 13.\nAnswer: 8198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2650 + 2655. Which is the closest to 15?  (a) -3\/4  (b) -1  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and 51\/1165060 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 162113101 from 68413.\nAnswer: -162044688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 11*p - 805. Let i = 220 - 120. Calculate the greatest common divisor of i and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2873*a**3 + 80.\nAnswer: 8619*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*x + 2*i = 4, 4813646*i - 4813645*i = 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 17, a: 2}. Give prob of picking 3 u and 1 a.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q - 8 + 22 = 0 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 755 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -591\/5 - -119. Let t(w) = w**3 - 6*w**2 + 4*w + 6. Let d be t(5). What is the third biggest value in z, -4, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 77 - 6. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 116 + 80. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 + 3. Let g(h) be the second derivative of r + 0*h**3 + 0*h**4 + 1\/10*h**5 - 2*h - 1\/15*h**6 + 0*h**2. Suppose g(s) = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-95 - 16 - 23)*(6*d - d - 4*d) + 0 + 0 + d.\nAnswer: -133*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**2 - 134*w + 3. Let z(i) = 3*i - 11. Give z(u(a)).\nAnswer: -3*a**2 - 402*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 778139 by -40.\nAnswer: -778139\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 2*r)*(-3*r**3 + 1 - 1)*(14*r + 10*r + 9 - 26*r)*(17 + 22 - 49)*(5 + 1 - 5).\nAnswer: -120*r**5 + 540*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/(-32) + 75\/20.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 432.3086 decades?\nAnswer: 4.323086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that g**5\/6 + 172*g**4\/3 + 15271*g**3\/6 + 122792*g**2\/3 + 719488*g\/3 + 604160\/3 = 0.\nAnswer: -295, -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 11820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 183 + 147. Let m = r + -329. What is the nearest to -2 in -1\/6, m, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(85) + 1*-2*sqrt(85) + sqrt(85) - sqrt(85)*1*2)\/(sqrt(180) + (sqrt(180) - 2*sqrt(180)*-2)))**2.\nAnswer: 17\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes after 12:35 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**(-2))**(-9\/2)*z**(-1\/4)\/(z*z\/(z\/((z*z**(-8))\/z))*z))\/((z*z\/(z\/(z\/((z**(-3\/7)\/z)\/z*z*z))*z)*z)\/z**(-9\/5))**(-22) assuming z is positive.\nAnswer: z**(14459\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -2*s + 191. Let j(y) = -33*y**2 - 35*y. Let l(u) = 10*u**2 + 10*u. Let k(t) = -6*j(t) - 21*l(t). Give b(k(i)).\nAnswer: 24*i**2 + 191","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8440*f + 2977*f - 12471*f.\nAnswer: -17934*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (4 - (-44)\/(-12))*-57. Suppose 5*p - 28 = -68. Let t be (-6)\/p + (-300)\/16. Which is smaller: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the third derivative of -g**5\/30 - 84*g**2. Let v(z) = 13*z**2 + 4*z. Give m(v(d)).\nAnswer: -338*d**4 - 208*d**3 - 32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 2*f. Suppose -1 = 5*a + 9. Let d(w) = -2*w - 1. Let i be d(a). Let z(g) = i*g**2 + 2*g**2 - 3*g**2. Calculate z(u(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/(-20)*4 - (-396)\/15. Let o = 76 - 74. What is the highest common divisor of o and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (17 - (-4 + 1)) + -9 + -13 + 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + o = 5, 1099*o + 10 = x + 1098*o. Solve 5*k - x*t - 26 = 0, 2*t - 53 = 3*k - 69 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.2  (b) 5  (c) 7  (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 600845.3 to the nearest 10000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -0.12, 1\/3, -3, 2\/15, -33, -1395\/2?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17895, 17983, 18129, 18333, 18595, 18915, 19293?\nAnswer: 19729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.9322 rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 59, 120, 183, 248, 315, 384?\n\"Answer: a**2 + 58*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-5\/2)*p*p)\/p**(-7\/2))\/((p\/p**(-1))\/(((p\/(p*(p*p**12*p)\/p))\/p)\/p)) assuming p is positive.\nAnswer: p**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/((-6)\/(-822) - 0). Let y = d - -281. Solve 3*z - y = -h, -2*h - 4*z + 6 = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = 3*p - 15. Suppose 0*x + 3*x = p. Solve 0 = x*g - g + 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 29457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:20 PM and 12:13 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.3, 2\/185, 226, -1, -5, -3, -74?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 2115*z**2 - 15 - 6342*z**2 + 2117*z**2 + 2111*z**2 - 8*z. Determine c(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**2\/5 + 808*n\/5.\nAnswer: n*(n + 808)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 8*x - 154. What is g(19)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.99 + -0.99. Which is the biggest value?  (a) f  (b) 0.3  (c) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 773026699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00024504 to 5 dps.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:00 PM and 9:55 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**3 - 9*d**2 + 14*d - 8. Determine n(8).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64 = -21*t + 22 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*a + 28 = -6*a + 4*m, -4*m + 28 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9669*d**2 - 5866*d**2 + 802*d**2 - 3531*d**2 + 1865*d**2.\nAnswer: -16399*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 308256.5ml?\nAnswer: 308.2565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 394 is divided by 160?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*(sqrt(1584) - (1 + sqrt(1584))) - (sqrt(1584) + -2*sqrt(1584) + 2)) + sqrt(1584)*2*-3 + 5)**2.\nAnswer: -480*sqrt(11) + 39616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -4*a - 210, 4*o + a = 3*o + 220. Suppose 0*g = 2*g + o. Let z = g - -156. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6083374?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-2)\/(-4))\/((-2)\/(-12)) + 4. Let g be (0\/(-1))\/(-3 - (0 - 63\/9)). Solve g = -7*l - d for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve u = m - 3, -5*u + 2*m + 3 - 21 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -100311140230 - 21?\nAnswer: -100311140301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i**3 + 19*i**2 + 60*i + 1039. Give u(-19).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*a**2 + 23 + 6 - 36 + 3*a - a**2 to the form y*a + t + m*a**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = -z - 18. Let u(q) = -q**3 + 7*q**2 - 6*q + 8. Let f be u(6). Let j be (f\/(-10))\/(4\/24). Which is smaller: j or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Work out -0.14 * -7.01.\nAnswer: 0.9814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((882\/49)\/180)\/(1\/6*2)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s - 1 + 1)*(1 + 4 - 3) + 2*s - 2 + 1 + 4.\nAnswer: -2*s + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -313484305\nAnswer: 1\/313484305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -3*g - 2. Let f(z) = -4*z**2 - z. Let p be f(1). Is i(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -11, -2, -9, 5, -1, 9 in descending order.\nAnswer: 9, 5, -1, -2, -8, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**2 - 16*o - 27. Let k be d(-26). Round k to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = 4*v + 16, -4*v - 4*m - 24 + 8 = 0. Let p = 15 + v. Let l = -2 + p. What is the highest common factor of 72 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 - 36 = 3*o. What is the tens digit of 184 + (1*-2)\/((-4)\/o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001682796 to 7 dps.\nAnswer: 0.0001683","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 350 (base 7) to base 6\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0*((-52)\/(-16))\/(-13). Suppose y + 0*i + 2\/13*i**2 = 0. Calculate i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 1 - (-8 - (-4 - 8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 579484 is divided by 144855?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 92 and 1380?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (21\/24)\/(-7)*-2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -60467 divided by -60467?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**2 - 3*u + 1. Let z be f(4). Suppose 7*j + z*v + 25 = 2*j, 10 = 4*j - 2*v. Suppose j = -2*l + 6*l. Solve l = 5*q + 9 + 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = -2*u + 6*u - 9, 0 = -3*i - 4*u + 7. Let x = i - 1. Which is bigger: x or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-25)\/360)\/((-160)\/(-64))?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + 10 + -1 + -2 - 0 - 8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1073704815 to the nearest integer?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -3\/700 and -109\/13802420.\nAnswer: 483084700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (1*14\/(-35))\/(2\/10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -50\/3 - -17. Find the common denominator of o and (117\/30)\/3 + -2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*t + 0*t - 6*t)*(196*t - 987 - 385*t + 190*t).\nAnswer: -2*t**2 + 1974*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:57 AM and 2:08 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 3, o: 3, t: 4, g: 3, p: 5}. What is prob of picking 2 p, 1 j, and 1 g?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 19728671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 39 + 3073*o - 46 + 5 + 2 to the form g + f*o and give f.\nAnswer: 3073","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 75 a factor of 2551464807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*m**3 - 242180*m**2 - 2179742*m - 4843960 = 0. What is m?\nAnswer: -5, -4, 121099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (25*w + 28*w - 73*w)*(-4*w + 5*w - 3*w) + 2*w + 2*w**2 - 2*w to the form m*w + k + j*w**2 and give j.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -821860, 9 in descending order.\nAnswer: 9, 0.3, -821860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = 16*k - 51. Suppose -5*x = 6*q - 8*q + 518, -k*q + 786 = -3*x. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 102 (base 5) to base 12\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 19 in -4, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1489*h**2 - 31665*h - 45704395 wrt h?\nAnswer: -2978*h - 31665","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 8, u: 2}. Give prob of picking 1 u and 2 s.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c - 5*n + 7 = 41 - 6, -94 = 2*c - c + 16*n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -9  (b) -1  (c) -31  (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1252107162 and 16844.\nAnswer: 8422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the first derivative of -f**5\/20 - f**4\/2 + f**3\/2 + 2*f**2 + 56*f - 24. Let u(n) be the first derivative of r(n). Determine u(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 55 is divided by 39.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 3*u + 34 = -28, 0 = 2*n - 5*u + 38. Let f be (n\/(-4))\/(3\/18). Let y = f - 4. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6642 is divided by 121.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 1\/2*21\/((-1680)\/32)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10808\/477 + -130\/53. Let y = n - -1609\/63. Factor 3\/7 - y*c**2 + 0*c.\nAnswer: -3*(c - 1)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 130 + 44 = 3*a. Let y(m) = 35*m + 30*m + 5 - m**2 - a*m. Let p be (7\/(-4))\/((-1)\/4). Give y(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m - m + 12. Let o(b) be the second derivative of 29*b**3\/6 - 8*b**2 + 1299*b. Calculate the smallest common multiple of 22 and o(m).\nAnswer: 1738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*n**2 - 74040*n + 74036.\nAnswer: 4*(n - 18509)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggg. What is prob of picking 2 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*x + 2*x + x - 3 + 5 - 1 + x + (-3*x + 0*x + 2*x)*(2 + 0 - 4).\nAnswer: 8*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add 1818 and -207.6.\nAnswer: 1610.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x and 1 r when three letters picked without replacement from xrxrxxxrxxrxxrxxxrx.\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6825 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -83*y**2. Let c(s) = 10*s**2 - 2. Give d(c(g)).\nAnswer: -8300*g**4 + 3320*g**2 - 332","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 9862276 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -10424\/37 or -283?\nAnswer: -10424\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12*h**2 + 496*h - 336.\nAnswer: 4*(h + 42)*(3*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 9014 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/1307840 and -117\/10?\nAnswer: 1307840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (q - q + 2*q)*(315 + 547 - 105 + 260 + 346) as j + s*q and give s.\nAnswer: 2726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*b - 356 = 310 - 107 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z + 3*w + 20777979, -4*z = -4*w - w - 83111965. What is z rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*k - 8*k = -6*k + 806. What is the greatest common factor of k and 589?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 2\/17  (b) 3  (c) -2\/47  (d) 12  (e) 219\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a + 19. Let s be b(-11). Let n(c) = -2*c - 1. Let t be n(-3). Let z be s\/(-32)*(t + -2). What is the third biggest value in -4, z, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 - -10 - (-8 - (-6 + 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17715, 35488, 53409, 71556, 90007, 108840?\nAnswer: 128133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**2 + 3*w + 2. Suppose 4*u - 10 = 6*u. What is the units digit of h(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 v, and 2 s when four letters picked without replacement from {s: 3, v: 1, a: 3}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:11 AM and 8:43 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (16\/40)\/((-16)\/10)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -3*y - 28. Let g be q(-8). Find the common denominator of g\/(-2) + (-644)\/48 and -7\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the first derivative of 6*t**5\/5 + 2*t**3\/3 + 4. Find the third derivative of p(c) wrt c.\nAnswer: 144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20240650 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -8892.7 rounded to the nearest one hundred?\nAnswer: -8900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -21 + -1120020?\nAnswer: -1120111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -3\/4, 10829, 2, 1\/94, -2\/5, -0.3?\nAnswer: 10829","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -280828, -280614, -280400, -280186, -279972, -279758?\n\"Answer: 214*d - 281042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**2 - 2*i + 2. Let t(v) = -5*v**2 - v + 27. Let c(h) = -6*b(h) + t(h). Give c(-11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q*q**0)**(-43)*(q*q\/q**(-2\/5))**(-1\/13) assuming q is positive.\nAnswer: q**(-5602\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*u**4\/2 - 57*u**3\/2 - 61*u**2\/2 - 3*u\/2 + 5 = 0. Calculate u.\nAnswer: -5, -1, -2\/3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 12*l + 6. Let h(c) = -10 + c + 6 + 5. Let r(z) = -10*h(z) + m(z). Let v = 1 + 3. Determine r(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 693264 divided by 3333?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 9379767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 224  (b) 0.04  (c) -0.25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -70*s + 1. Is a(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-174)\/(-108) + -2)*80\/140.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w - 6. Let s(t) = -537*t. Determine s(r(j)).\nAnswer: -537*j + 3222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 5361*z**2 + 102*z - 42. Let s(p) = -631*p**2 - 12*p + 5. Let j(y) = 5*g(y) + 42*s(y). Let t(l) = -3*l**2. What is j(t(d))?\nAnswer: 2727*d**4 - 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 93174 by -586.\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 4*l + 2*l - 19*l)*(11 - 16 + 12).\nAnswer: -91*l + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 391332 and 28.\nAnswer: 10957296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 5071487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1 + 1 - (2 + (8159294 - -4)). Let o = 97798355\/12 + k. Let p = o - -9429. What is the common denominator of p and 79\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -248303161 rounded to the nearest one hundred thousand?\nAnswer: -248300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**3 - f**2 - 8*f - 1. Let l(u) = u**3 - 4*u**2 - 142*u - 19. Let y be l(-10). Let k(w) = -w**2 - 1. Determine y*d(x) - k(x).\nAnswer: x**3 - 8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -18*l - 3. Let j be r(-3). Suppose -k + 0*k = -j. What is the remainder when k is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((3\/144*8)\/(45\/(-81)))\/(25\/100)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 23370 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 594521\/6 - 99087. Let o = 0.3 - 0.5. What is the closest to t in -2\/9, o, -5, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 53\/4 - 143\/12. Which is the third smallest value?  (a) -0.4  (b) f  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**2\/21 - 29208*r\/7 + 964106\/21.\nAnswer: -2*(r - 11)*(r + 43823)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7*j**5 + 79*j**4*v - 302*j**2 - 297676*j*v - v - 1 wrt j?\nAnswer: -140*j**3 + 948*j**2*v - 604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 24*o**2 + 2*o**4 + 7 + 8331*o**3 - 8327*o**3 in the form c*o**4 + n*o**2 + x*o + k*o**3 + b and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -16*w**2 + 17*w + 23. Let d(n) = 5*n**2 - 6*n - 8. Determine 6*b(a) + 17*d(a).\nAnswer: -11*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**2 - 10*s - 2189. Give p(-53).\nAnswer: 1150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 67.2 - 389.2. Let p = d - -322.01024. Round p to four dps.\nAnswer: 0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z - 3*y - 9, -3*z + 19 = 2*z - 4*y. Solve -z = -4*c + 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 65 - 66. Let h = 13 + -15. Put a, h, 5 in ascending order.\nAnswer: h, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 - -1. Find the second derivative of f*i**2 + i + i + i**2 + 3*i**2 wrt i.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5873939926.\nAnswer: 2, 17, 859, 201121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*t = -142*t + 38368. Calculate the greatest common divisor of 616 and t.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 - -7. Calculate the common denominator of (-1)\/(-6)*(-327)\/6 and t\/(41 - -3)*-27.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00026325 to 6 decimal places.\nAnswer: 0.000263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 317.78 times 9\nAnswer: 2860.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -47 or -519\/11?\nAnswer: -519\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -334*f**5 + 0*f**2 - 29219*f**4 + 29219*f**4 - 565*f + 0*f**2 wrt f.\nAnswer: -6680*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -52 + 39. Let o be u\/(-4) - 25\/20. Solve m - 7 = 2*z, 2*z = -4*m + o - 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the second derivative of 0*u**2 + 2*u + 0*u**3 + 1\/6*u**4 + 0. Let q(v) = -v. Give f(q(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -1013*v - 2182. Calculate d(-2).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**2 + 94*i - 1760.\nAnswer: (i - 16)*(i + 110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -33 + 100\/3. What is c in 1\/3*c**2 - g + 0*c = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than or equal to -28149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13 - -18. Let u be (f\/10)\/((-2)\/8). List the prime factors of (13 + -3)*(-1)\/u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1870.\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b\/(b**(3\/4)\/b*b)))\/(b*b\/(b*b**(-6))*b))**25 assuming b is positive.\nAnswer: b**(-725\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4*(1 + (-20)\/2). Let j be 931 - 943 - (202\/9 - -2). Is j at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1106515*31\nAnswer: -34301965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 803 is divided by 231?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 13832\/(-36) - (6 - (-224)\/(-36)). Let x = t - -1153\/3. Are x and 8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -16*l - 102. Let b be x(-17). Suppose -2*v + 4*y = -86, 5*v = y + 90 + b. Calculate the remainder when v is divided by 37.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1211110200221 (base 3) to base 13.\nAnswer: 281290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 48073.2l?\nAnswer: 48073200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 33267 = -y + 2*u, -25 = -5*u. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (3 + 0)*(-444)\/(-36). Let c = b + -23. Suppose -z = 3, 3*h - 3*z = 6*h - 165. What is the lowest common multiple of h and c?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26 - 11 + 2355*l - 9 - 2353*l - 6.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -7*q**2 + 1. Let m be u(0). What is the fourth biggest value in -2\/15, m, -2\/13, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -11, 637, -0.3, -2, -46 in descending order.\nAnswer: 637, 0, -0.3, -2, -11, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(16) + (sqrt(112)*2)\/sqrt(7))*-3)\/((-2*sqrt(200)*-2 - sqrt(200)) + sqrt(200)).\nAnswer: -9*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = -92*a + 88*a + 22, -2*a - 4 = -5*y. Solve -5*j + 6*p - 4 = 4*p, 3*j = -a*p - 15 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*f - 8*f + 7*f.\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2 + 2. What is the smallest value in 0, z, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**2 - z + 36. Let l be j(-9). Let n be (-4)\/(-35)*90\/l. Let h = -33 + 164\/5. Which is the nearest to n?  (a) 2\/5  (b) -1\/2  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*b - 978 = 650. Which is smaller: b or -5\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3051*j - 4*f + 32 = -3055*j, -j - 44 = -5*f. Put j, -4, -5, -6 in increasing order.\nAnswer: -6, -5, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -160 equal to -124889\/783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n - n = -20. What is the remainder when 37 is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2333330 + 2220?\nAnswer: 2341100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0.4, -1\/3, -1137, 10.\nAnswer: -1137, -3, -1\/3, 0.4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**3 - 3*t**2 - 17*t - 9. Let x be h(8). Let l = x - 80. What is the remainder when l is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 l when two letters picked without replacement from {d: 1, z: 3, o: 1, l: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -601 + 448?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the second derivative of d**4\/4 - d**3\/3 + 3*d**2\/2 - 8*d. Let a be q(-6). Let n = -84 + a. List the prime factors of n.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -397469305\nAnswer: -1\/79493861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 113*a + 56*a - 63*a + 41*a as q*a + c and give q.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the second derivative of c**5\/210 + c**4\/21 + c**3\/7 + 4*c**2 - 8*c. Let m(q) be the first derivative of z(q). Solve m(o) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 41 = -2*r, 5*r + 35 = 3*r - 5*n. Let z = r + 28. Is z > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -36085*p**3 - p**2 - 460*p + 15.\nAnswer: -216510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the third derivative of 0*n + 1\/120*n**5 + 0 - 2*n**2 + 1\/12*n**4 + 1\/6*n**3. Let l(w) be the first derivative of i(w). Give l(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*j - t + 0*t = -40*j + 2*t + 4, -10 = 4*j - 3*t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1833 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 3048 = -5*q, 3*q + 745 = z - 0*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4031381280?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(2\/11))\/y*y**(-2\/3))**(-1\/40) assuming y is positive.\nAnswer: y**(2\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:32 AM and 6:39 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r - 3. Calculate v(16).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 4*i**2 + 3)*(-i + 2*i - 3*i) - 2*i**3 - 2*i**2 + i**3 - 2*i - i**3.\nAnswer: 6*i**3 - 2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -4, -15, 2, 1516, 8 in descending order.\nAnswer: 1516, 8, 2, -3, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21162 + 5844 = 14*x. What are the prime factors of x?\nAnswer: 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -14, -294, -1170, -2942, -5910, -10374?\n\"Answer: -50*p**3 + 2*p**2 + 64*p - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2069485.\nAnswer: 5, 11, 191, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the second derivative of 5*d**4\/12 + 7*d. Suppose -36 = -6*q + 2*q. Let m(i) = -q*i**2 + 24*i**2 - 16*i**2. Calculate u(m(t)).\nAnswer: 5*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 123435*b - 123497. Give v(1).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 128075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -305*c - 56 = -5*i - 308*c, 0 = -2*i - 2*c + 20 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9299 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1542.\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of (180\/25)\/6 + (-839)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 962046183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (3 - (2 + -1))*-35. Calculate the common denominator of (-9)\/12*l\/(-6) and 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-36)\/(-40) + 44\/(-110)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1224 and 72.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -759 - -747. What is the remainder when f\/(-9)*(1 + 3367\/14) is divided by 66?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*b - 13*b - 52 = 21*b for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of (-58)\/4*36\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -3*d - 6. Let h be b(-3). Suppose -5*c - 1 = -5*q + q, -h*c = -2*q - 1. Solve -g = 5*z - 2, 0 = -q*z - 2*g - 1 - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*h - 4*i - 95, i + 2*i - 690 = -47*h for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3752\/((7 + -3)\/(-4)). Let s be (-2)\/(-2 - o\/1878). Suppose -a = 2*t - 1906, -t + a - 5*a = -s. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -3*z - 3. Let d be y(-3). Let u be ((-2)\/3)\/(3\/54). Let n be (-2)\/(1 - (-20)\/u). Calculate the greatest common divisor of n and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 913094115.\nAnswer: 3, 5, 19, 1553, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3538.\nAnswer: 2, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3916*y**3 + 8*y**2 + 8*y + 2794285?\nAnswer: -11748*y**2 + 16*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 191540 divided by 19154\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 100111000 (base 2) in base 13?\nAnswer: 1b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1959919120?\nAnswer: 2, 5, 17, 1441117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the third derivative of -a**5\/60 - a**4\/8 - 2*a**3\/3 + a**2. Let w = 3577 + -3583. Give g(w).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the first derivative of -2251*a**4\/2 + 89*a**3\/3 + 11*a - 3057. Find the third derivative of n(m) wrt m.\nAnswer: -27012","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -3*l - 0. Suppose z - s + 19 = 63, -85 = -l*z + s. Calculate the remainder when z is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -66 - -329\/5. Which is the second smallest value?  (a) -5  (b) j  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-995)\/25 + 5)\/((-6)\/20). Suppose y - 1888 = -4*f. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-48*c**2 + 22*c**2 + 32*c**2)*(0*c + 2*c + c)*(0 - 3 + 0*c + 3*c) to the form a + b*c**2 + y*c**4 + s*c + x*c**3 and give y.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -20 + 94?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 294646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 73158515635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 12000 + 340012?\nAnswer: 402012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 448 - 267. What are the prime factors of n?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of (3\/7)\/1 - (-12197514)\/8134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 603 and 8442?\nAnswer: 8442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 54816 and 143166?\nAnswer: 1307964576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(66) - 4*(sqrt(66) + -2*sqrt(66))) + sqrt(66) + -1*(sqrt(66)*2 - sqrt(66)))\/(sqrt(72)\/(sqrt(12)*-1) + 1*sqrt(96) + sqrt(6)).\nAnswer: 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**3\/9 + 68*h**2\/3 - 88*h + 784\/9.\nAnswer: -2*(h - 98)*(h - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, 5, -130 in ascending order.\nAnswer: -130, -13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1076701433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 25419\/3663 + (-2)\/(-33)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 17, -17, 0?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -18, 0, -143 in decreasing order.\nAnswer: 2, 0, -18, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b - 30. Let f(d) = 2*d - 58. What is -3*f(z) + 5*r(z)?\nAnswer: -z + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 minus -0.148?\nAnswer: -0.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 302355?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is (49093\/44)\/(11\/484) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000444683 to six decimal places.\nAnswer: -0.000445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11111010000 - 11?\nAnswer: 11111001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 28*c**2 + 7*c. Let j(v) = 2*v. What is j(p(i))?\nAnswer: 56*i**2 + 14*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*k**2 + 110*k**3 + 11*k**2 + 53*k**3.\nAnswer: 163*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1089800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does -49735 = -49806?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.7 - 1.2. What is the third biggest value in 3\/7, -2\/3, x?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 6, j: 4}. Give prob of picking 3 j.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-38394)\/5688*12\/63\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2344524.56 rounded to the nearest 100000?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in -1.5, -5, 145\/3?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -5*h - 0*h - 5*m, -3 = -h + 3*m. Let y be 1\/(-3)*(-2 - -1). Factor 1\/3*d**4 + 2*d**2 + y + 4\/3*d + 4\/3*d**h.\nAnswer: (d + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m**3 + 7*m**2 + 5*m - 7. Let o be j(-6). Put -5, 2, o in ascending order.\nAnswer: -5, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-48 - 72 + 19 - 5 + 2 - 34)*(-170*x**3 - 8*x**3 - 124*x**3).\nAnswer: 41676*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add -1807600 and 1926198.\nAnswer: 118598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**2 + 7*c - 4. Let f be n(6). Let l(u) = 9*u - 3. List the prime factors of l(f).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - m = d + 45, 5*m - 3*d + 69 = 0. Let x = -7 - m. Factor 6*r**2 - 6*r**4 + 104*r**5 - 101*r**x + 0*r - 3*r.\nAnswer: 3*r*(r - 1)**3*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + (2 + 2 - -277). Suppose 7*j - 11 = i. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -8*g. Let u(q) = 17*q + 4 - 38*q + 1 + 18*q. Let t(l) = -l + 1. Let d(v) = 10*t(v) - 2*u(v). Give d(a(r)).\nAnswer: 32*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = -7 + 27. Let f = -2 - m. What is the third smallest value in 0.5, f, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 130944378 is divided by 977.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8 and 3562?\nAnswer: 14248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 50664, 101341, 152022, 202707, 253396?\n\"Answer: 2*v**2 + 50671*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, 2\/5, 3, 1, -3020, -0.5 in decreasing order.\nAnswer: 3, 1, 2\/5, -0.3, -0.5, -3020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -2*p - 1. Solve -p*t - 4*l + 22 + 11 = 0, 0 = -2*t - 5*l + 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-155)\/(-10) + (378\/(-12))\/(-21).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jpjp when four letters picked without replacement from pppjjpjpppjjppjj.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12 + 17. Calculate the highest common divisor of z and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 13) to base 14.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5979, 11941, 17889, 23823, 29743?\nAnswer: 35649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3\/74, -9, 4, 0.02, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -32801 divided by 166?\nAnswer: -32801\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 14578915357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -61 - -104. Suppose -4 = -j + l. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 612 - 612. Solve 0*a**3 + 0*a + w + 1\/4*a**5 + 0*a**2 + 1\/4*a**4 = 0 for a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((2 + sqrt(1900))*6 - ((-1 + sqrt(1900))*-1)**2).\nAnswer: -1889 + 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 3, j: 2, b: 2, m: 1, a: 2, w: 2}. Give prob of picking 1 b, 1 w, and 1 j.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 - -6. Let u be -1*(4\/2 - 2). Suppose -3*i - p*l = u, i + 3*i + 3*l = 7. Let j(b) = -2*b + 1. Give j(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w - 6 = -4*i, -6*i - 3*w - 11 = -11*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f - 3*s + 19, 2*s - 22 = -5*f - 0*s. Let x(c) = c**3 - 6*c**2 + c + 2. Let z be x(6). Suppose -5*t = -f*t - z. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -3255715*r - 12*r**2 + 3255715*r. Let f(p) = 5*p**2 + 3. Calculate f(c(g)).\nAnswer: 720*g**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**2 + m - 63. Is r(19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -100001100101011 (base 2) to base 5\nAnswer: -1022240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the second derivative of -h**5\/20 - h**4\/2 - h**3\/2 + 15*h**2\/2 - 15*h. Is v(-6) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 3*x**3 - 6*x**2 + 10*x - 17. What is the units digit of v(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 1\/469583 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 21 + 2 + 14 - 7*h + 2*h - 1. Determine z(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 - 16 = -3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1230, 906, 362, -408, -1410, -2650?\n\"Answer: -z**3 - 104*z**2 - 5*z + 1340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.978 + -0.9. Let w = q + -0.238. Let b = 1 + 0. Which is smaller: b or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*c - 1 - 2 + 5)*(-4*c**4 + c**4 + 0*c**4 + (-38*c + 38*c - c**3)*(2*c - c + 0*c))*(1 + 7 - 3).\nAnswer: -100*c**5 - 40*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*v + 73 = -82. Let t(z) be the second derivative of 5\/6*z**3 - z**2 + 0 - v*z - 1\/12*z**4. Give t(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pqrpq. Give prob of sequence rqp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4283258?\nAnswer: 2, 7, 305947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18871562, 18871569, 18871576?\nAnswer: 18871583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 4 - (9 - (2 - -3)) - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = 2*m - 4. Suppose -l - 4*z + m = -0*z, -l + 9 = 3*z. Let o = l - -5. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1280131709, -2560263420, -3840395131, -5120526842?\n\"Answer: -1280131711*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.1  (b) 1  (c) -51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y*y**(-4\/7))\/(y**8*y))\/(y**(-9)*y**9*y))**(9\/13) assuming y is positive.\nAnswer: y**(-603\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 7.638124 centuries?\nAnswer: 763.8124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(105)*2)\/sqrt(7) - ((sqrt(180) - sqrt(180)*1)\/sqrt(12) - sqrt(15)))\/(-6*4*(sqrt(720)*-4 + sqrt(5))).\nAnswer: sqrt(3)\/376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*z - 216 = -55*z. Suppose 5*k = z*k - 143. Solve 5*l + c = -2*c + k, 3*c = -3*l + 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1180*v - 1174*v = -114 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -i - 4*n - 15, -186*i - 12 = -182*i + 4*n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(512) - (2*sqrt(512) + -2)) + 0 + (sqrt(32) - (sqrt(128)\/(sqrt(4)*3) + sqrt(32))))**2.\nAnswer: -208*sqrt(2)\/3 + 5444\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:26 AM and 2:11 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 2*w = 4*h - 62, -25 = -2*h + w. What is the highest common factor of h and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15413.\nAnswer: 15413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -8 + 15 - 20 + 14 + y**2 + 6*y. Give n(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(96\/396)*(-15)\/((-225)\/(-10)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*d**2 + 252*d - 16 + 647*d + 2*d**3 + 14 - 210*d in the form f + a*d + g*d**2 + m*d**3 and give a.\nAnswer: 689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2633.99997346 - 2634. What is y rounded to 6 decimal places?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a - 5*a - 28. Let i be (12\/a)\/(30035\/4291 + -7). Let r = i + -1867. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes before 4:17 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x**2. Let t(o) be the third derivative of 0*o**3 + 0*o**4 + 115 - o**2 + 0*o - 53\/6*o**5. Calculate s(t(q)).\nAnswer: -280900*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 2 + 2*q + 31*q - 70*q + 13*q + (1 - 1 - q)*(4 - 5 + 4).\nAnswer: -27*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/((3068\/(-52))\/(-295))*(18\/(-215))\/(-3)?\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000081388321 to 7 dps.\nAnswer: -0.0000814","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -202*b + 8105. Calculate h(40).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1010 + -2879. Let x = 2824 + z. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 449881?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1374488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -707238112 by 353619056.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 + 18. Suppose -44 + k = -c. Solve 4*g - 2*l - 4 = 0, -3*g - 4*l - l + c = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 478178?\nAnswer: 2, 47, 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 61175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 64109*x + 54514.\nAnswer: 64109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 37, -4, -1, -3.\nAnswer: -4, -3, -1, 3, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 19 + -20. Let b = k - -1. Suppose f - 19 = -2*n - n, 2*f + 5*n - 39 = b. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 858083970?\nAnswer: 2, 3, 5, 109, 262411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put together -273.97 and -17.68.\nAnswer: -291.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z - 90 = -80 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**3 - 2*i**2 - 4*i - 4. Let g be p(5). Calculate the highest common divisor of 34 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**2 - 45*a - 310. Let q be y(51). Let g = 0.28 + -0.27. What is the fourth smallest value in g, q, 3\/2, 0?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is b7 - -2b1?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, n: 2, p: 2, i: 1}. Give prob of picking 1 i and 1 n.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55 = -12*n + 7*n. Solve 6*z - 10 = n*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 751735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**2 + 14*u - 23. What is the smallest common multiple of o(11) and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 4*q**3 + q**2. Let y be o(1). Let c(n) = 15*n. Does 25 divide c(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (604*j - 84*j + 712*j + 37*j)*(-6*j**2 + 3*j**2 - 6*j**2).\nAnswer: -11421*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2727 is divided by (-9)\/6*3976\/(-426).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -43125 by 879.\nAnswer: -14375\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/7*w**3 + 2*w**2 - 16\/7*w + 0.\nAnswer: 2*w*(w - 1)*(w + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 377298 is divided by 34298?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + j - 4 = 0, -5*j + 13 = 4*d - 0*j. Let b be (3\/6*2)\/d. What is the third smallest value in b, 1, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by 50\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3743 and 30172?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*i - i**3 - i + i + 230 - 5*i - 225 to v + q*i**3 + t*i**2 + b*i and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + 2*sqrt(1053) + sqrt(1053) + 0 + -2 + sqrt(1300))**2.\nAnswer: -296*sqrt(13) + 17813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 26 and 702.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of a**2*f**2 + 6*a**2*f*h**3 - 212*a*f**3*h**3 + 26*a*f**3*h**2 + 6*f**3*h**2 wrt h.\nAnswer: 36*a**2*f - 1272*a*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/p**(2\/3))\/p)**(5\/3)*(p**3\/p)\/p**2 assuming p is positive.\nAnswer: p**(-10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 9*f**2 + 81*f + 3. What is j(-8)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1260 and 1956960?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -67248436.18 + 14\nAnswer: -67248422.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/((-6)\/235)*3*(-57)\/(-665)*-7?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*z = 480 + 729. Suppose -4*f + 339 = -z. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -108056 = -2*f - x, -4*f + 4*x = -28308 - 187840. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2233591039 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6953 by 3.\nAnswer: 6953\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 151*r**3 - 10*r**2 + 2?\nAnswer: 906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 2*s + 3*i - 6*i, s - 4*i - 21 = 0. What is the units digit of (-5)\/(s\/(-11) - (-20)\/(-264))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 243760 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 6 + -323?\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 36224, 37324, 38426, 39530?\nAnswer: 40636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the third derivative of -u**7\/1260 - u**5\/30 - 5*u**2. Let r(d) be the third derivative of o(d). Let l(f) = 4*f**2. Determine l(r(h)).\nAnswer: 64*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14916, -14857, -14798, -14739?\nAnswer: -14680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -418*s - 1286 - 1481 = -6426 - 8045 for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j - 37 = 2*b, 12*j - 17*b + 63 = -20*b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -156\/3077?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 + 9. What is the second derivative of z*i**2 + 0*i**2 - i - 4*i**2 wrt i?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5837*l + 2 - 2 + 1022*l - 2072*l)*((3*l - 4*l + 3*l)*(-4*l + 2*l + 3*l) + l**2 - 2*l**2 + 0*l**2).\nAnswer: -6887*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 3*l**3 - 27*l**2 + 13*l - 60. Give n(9).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aaiayyayayaayayai. Give prob of picking 1 i and 1 y.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 16 + -13. List the prime factors of 4*t*(-4)\/(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -73 + -37 + -35 + (5 - -95).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6144?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**3 + 4*p + 1. Let j = -11 + 9. Let n be m(j). Let h(d) = -d + 1. Determine h(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -29480*m + 2004643. What is p(68)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 816 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 19572 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sum -8907376 and -17023.\nAnswer: -8924399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1 + -7)*(68250\/(-56))\/65. What is the greatest common divisor of 9075 and r?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3947 in 3\/7, -2\/5, -161?\nAnswer: -161","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8 + -2. Suppose 6*j = 3*j + 6. Suppose -2*a + j*g - b = 0, 3*g - 6*g + 21 = 3*a. Which is greater: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -32754*t**2 + 29150*t**2 - 4 + 4 as f*t**2 + y*t + l and give f.\nAnswer: -3604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 119 and 714?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -777221*d**5 - 17206*d - 212?\nAnswer: -15544420*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k. Let q(n) = n**3 + 3*n - 12. Suppose -x = 3*x - 6*x. Let o be q(x). Let u be (68\/o - -3 - -3)*3. What is j(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**2 - 16*z + 12. Determine r(8).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y*y*y\/(y*y**(-1\/12)*y)*y*y*y**(5\/6))\/(y*y\/(y*y**(-1\/3))*y)**38 assuming y is positive.\nAnswer: y**(-335\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 320 is divided by 175?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {v: 4, i: 6}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 275219 a multiple of 375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000023201265 rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 - 2 + 8 - 25*d.\nAnswer: -25*d + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 22442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 380585650?\nAnswer: 2, 5, 7611713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 30726584 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32846 is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 + 3. Suppose 2*f - 9 = -x. Solve 0 = -f*l - 2*l + 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 + 25 = 4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.17526815 to two dps.\nAnswer: -1.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 93\/15 + -6 + (-109)\/(-5) and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -4\/3, 14.31, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 17 - 19. Let f(g) = g**2 + g - 4 - g**3 + 4*g**3 - 2*g**3. Let q be f(0). Put a, 4, q in decreasing order.\nAnswer: 4, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -119\/3, 6, 194 in increasing order.\nAnswer: -119\/3, 6, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gf when two letters picked without replacement from {f: 3, b: 2, o: 1, j: 7, g: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 295.2, 2\/9, -2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w - 24. Let r(g) = 2*g + 60. Let j(c) = 12*l(c) + 5*r(c). Let s be j(6). Suppose -8*y + 5*y + 252 = s. What are the prime factors of y?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1341.221 + 1347.9. Round x to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 126032 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 4, j: 5, v: 1}. Give prob of sequence vn.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 237*n**2 - 116*n**2 - 119*n**2 + 19 as g + m*n + f*n**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 5645539039?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -668*i - 20909 = 430*i + 42653 + 23180 for i.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-673 + 478 - 1174)*(-2*d + 2*d + 2 - d) as v + b*d and give v.\nAnswer: -2738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -h**2 + 121*h**3 - 350*h**3 - 87*h**3 + 57*h**3 - 191*h**3 as x*h**2 + g + k*h**3 + i*h and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 - -6. Suppose 2*z + 759997 = -3*j, -q*z - j + 667493 - 1807492 = 0. Round z to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 79 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -23318 + 24077. Which is smaller: f or 755?\nAnswer: 755","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -6344, -6335, -6326, -6317?\n\"Answer: 9*s - 6353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 6 = -4*d + 4, -4*d = -3*l - 14. Let c = 1 + d. Solve -m - 1 = 4*i - 2*m, c*m = 3*i + 12 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 476 and 159222?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1828 + 795 - 2*b - 226)*(-42*b + 2*b**2 - 41*b + 45*b).\nAnswer: -4*b**3 + 4870*b**2 - 91086*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.64?  (a) 0  (b) -6218  (c) -2  (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -20*x**2 - 1059*x + 72. What is the remainder when 2558 is divided by n(-53)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 25116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 3040579346 a multiple of 2770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**3 + 29*w**2 - 36*w + 11. Suppose -10 = -b - b. Let n(h) = 2*h**3 + 72*h**2 - 90*h + 28. Let q(o) = b*n(o) - 12*c(o). Factor q(t).\nAnswer: -2*(t - 4)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-seven halves of a day in hours?\nAnswer: 684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 450, 5, -1 in decreasing order.\nAnswer: 450, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -1374*z - 28547. Give q(-23).\nAnswer: 3055","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 89496 and 64?\nAnswer: 715968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**8*(v*v\/(v*v**(-7\/5)*v*v*v))\/v)\/(v**0\/v**(-1\/10)) assuming v is positive.\nAnswer: v**(63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(4\/13)\/(u**(-17)\/u))\/(u**(3\/8))**(-12))**(-24) assuming u is positive.\nAnswer: u**(-7116\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -15595, -31211, -46827, -62443, -78059, -93675?\n\"Answer: -15616*o + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 2*g - 3*g**2 - 2*g. Let o(d) = -3*d**2. Let z(q) = 6*o(q) - 5*w(q). Let j(h) = 3*h**2. Determine z(j(p)).\nAnswer: -27*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-45)\/t)\/((t\/(t**(-42)\/t))\/t) assuming t is positive.\nAnswer: t**(-89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -93095 = 10583*p - 3346*p + 355599 for p.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -300 - -299.8. What is the nearest to l in -5\/3, -2\/9, 0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 263639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 74 is divided by 70?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 8\/101, 0, 7 in increasing order.\nAnswer: -4, 0, 8\/101, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (82*d - 6 - 44*d - 39*d)*(-4*d**2 - 22*d**2 - 3*d**2).\nAnswer: 29*d**3 + 174*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -13 + 2010020?\nAnswer: 2010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**2 - 2*r - 1. Suppose 9 - 32 = -f + 4*p, -4*f - 8 = 4*p. Let i(x) = 3*x**2 + 5*x + 3. What is f*i(y) + 8*o(y)?\nAnswer: y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 27 times 12\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -5*s**2 - 318*s - 454. Determine r(-62).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 41204581.56 to the nearest 10000.\nAnswer: 41200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 - 21?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3*b**3*w - 109*b**3 - 409*w wrt b.\nAnswer: -9*b**2*w - 327*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80*h - 1785 = -54*h + 1699 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 3*u**4 - 40*u**3 + 115*u**2 - 48*u - 199. Let q(t) = -t**4 + 13*t**3 - 38*t**2 + 16*t + 66. Let i(b) = 21*q(b) + 6*y(b). Factor i(n).\nAnswer: -3*(n - 4)**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4985043799?\nAnswer: 8377, 595087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 546182 and 1638?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2753431886?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o + h + 11 = 0, o + 65*h - 70*h - 13 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*h + 5*h**3 + 160 + 0*h - 147.\nAnswer: 5*h**3 + 6*h + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -45.63512009 minus 17?\nAnswer: -62.63512009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**2\/5 - 16044*k\/5 - 16046\/5.\nAnswer: 2*(k - 8023)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -134*i = -1844*i + 221*i - 83384 for i.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -18 - -20. Let h(x) = -99 - x**v + 208 - 105. Let o(s) = s**3 - s**2 + s. Let f be o(0). Calculate h(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -460*n**2. Let p(b) = -20*b - 7*b - 19*b + 43*b. Calculate x(p(j)).\nAnswer: -4140*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2377 - -1318. Let p = -1060 - o. Which is the second biggest value?  (a) 0  (b) p  (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 8 = -0*o. Suppose o*c - 2*c = -95998. Let w be 90\/(-12)*(c + -1). What is w rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -212100022 + 1?\nAnswer: -212100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7 + 2. Let u(l) = -l**3 - 6*l**2 - 5*l + 3. Let o be u(g). Suppose -o*w - 2040 - 3892 = 4*r, -r = -3*w - 5942. Round w to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hwhh when four letters picked without replacement from {v: 8, w: 6, h: 3}?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 30*h**2*v**2 - 557321590*h**2 - 1434331*v**3 wrt v?\nAnswer: 60*h**2*v - 4302993*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the third derivative of 17*g**2 + 0 + 0*g - 4\/3*g**3 - 1\/2*g**4. Let k(v) = v + 1. What is j(m) + 8*k(m)?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sum -19 and -2562871611.\nAnswer: -2562871630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the second derivative of 17*s**3\/6 - s**2\/2 + 3334*s. Give u(6).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2322232 (base 4) to base 5\nAnswer: -340300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -966, -968, -970, -972?\nAnswer: -974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*h - 7*h - 10. Solve -h*a - 10 - 11 = j, -4*j - 8 = a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(84)*2 + sqrt(84) + sqrt(84) + 5*-1*sqrt(84))\/(-2*4*-2*sqrt(12)).\nAnswer: -sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9127488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 + 5 = -5*b. Let p be ((-4)\/6)\/(b\/(-18)). Let l be (-2)\/(-5) - (-3)\/5. Put l, -2, p in increasing order.\nAnswer: -2, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 36.1 - 7.2. Let z = 29 - n. Let t = 26 + -51\/2. Which is the second smallest value?  (a) t  (b) -4  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 114 and 988?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*5 + (572\/(-99) - -11)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 360\/56 + 2\/2 + -6. Factor 2\/7*r + 0 + 6\/7*r**3 + b*r**2 - 18\/7*r**4.\nAnswer: -2*r*(r - 1)*(3*r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 5*f = -0*f + 10616, 3*g - 4*f + 7962 = 0. Let z = 4234 + g. What is z rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -911 + 1278. Let n = 577 - z. Let g = -209.99999909 + n. What is g rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 521164266*o**5 - 742292536*o wrt o.\nAnswer: 10423285320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 713?\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**3 - 6*y**2 + 6*y - 6. Let c be g(5). Let f be (54\/24)\/(c\/12). Is f < -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2912 - 245 = -451*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 180 = 4*c, 2*c = -c + 5*j - 140. What is the remainder when 10 is divided by (-16)\/c + (-28)\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 93331.32 centuries in years?\nAnswer: 9333132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 121 + 86?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.007 + -103.007. Let m = r - -102.41. Let o = 0.29 + m. Sort o, -1\/6, 4.\nAnswer: o, -1\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 730*c = -157*c - 7096 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 6 = 9. Let k(q) = 31*q**2 + 10*q - 37. Let o(w) = -16*w**2 - 6*w + 18. Let c(x) = g*k(x) - 5*o(x). Differentiate c(u) with respect to u.\nAnswer: -26*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(-3)*(-21)\/(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -554 - 3*r**3 - r**3 + 550 + 10*r**2 + 5*r**3 in the form w + x*r**2 + b*r + z*r**3 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the third derivative of t**4\/24 - 2*t**3\/3 + 4*t**2. Let n(s) = -4*s + 15. Suppose -5*u - c = c - 22, -c - 28 = -4*u. Give u*n(q) + 22*p(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (11\/(-88)*6)\/((-42)\/32)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(700) + -2*sqrt(700))*-5 + sqrt(700)*-1*-4)**2*4 - (-1*sqrt(700)*2 + 1*sqrt(700)*-6 + -5)**2.\nAnswer: -800*sqrt(7) + 181975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -64443, -58171, -51899, -45627, -39355?\n\"Answer: 6272*q - 70715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 304 a factor of 938614592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3670 * -0.13.\nAnswer: -477.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 166, -2 in decreasing order.\nAnswer: 166, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the third derivative of n**5\/390 + n**4\/13 + 20*n**3\/39 + 24*n**2. Determine a, given that d(a) = 0.\nAnswer: -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, v: 1, i: 2}. What is prob of sequence ivp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 5 - (-1 + 4\/1). Suppose 4*p = 9*p + y*n + 14, 2 = -2*p + n. Let k(c) = -13*c**3 - 2*c**2 - c - 1. Is k(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21\/196*8\/2.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1935 and 6020.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 415905.\nAnswer: -4\/415905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2 + 1)*(-19*x - 4*x + 14*x + 3).\nAnswer: -45*x + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**2 - 2. Let y be j(-2). Let t = 1889 - 164345\/87. Let l = 9\/29 - t. What is the third smallest value in l, y, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fzgzzgfhgzhgff. Give prob of picking 1 h and 2 g.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1507380 a multiple of 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82940 = -61*l + 50*l. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times 203.7\nAnswer: 20.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-20)\/4)\/((-30)\/12). Suppose -18*v = 2*l - 20*v, 0 = -2*l + v + d. Put -4, l, 3 in descending order.\nAnswer: 3, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/33 in -1\/2, -0.2, 0.4, 6, 4.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 746*t**2 - 2*t + 4. Let p be y(-3). Suppose 14*r = -536 + p. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + r - 2)*(-18 - 17 + 22) + 239*r - 199*r - 102*r - 4 as v + a*r and give a.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**2 + 8*v + 9. Suppose -4*z + 34 = -2*t, z = -3*z + 20. Let n be c(t). Solve -14 = n*p + 4*w, -5*p = -2*p + 3*w + 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1658*t - 5*a - 6 = 1656*t, -36 = -5*t + 2*a for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = 5*o - 40 + 2, 3*f = o - 34. Let r be (-2)\/(-12) - f\/(-12). Put -1\/4, 5, r in decreasing order.\nAnswer: 5, -1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-4\/3)\/i)**(3\/29)\/(i\/(i*(i\/(i**(-1\/5)\/i))\/i*i))**(-7))**(2\/27) assuming i is positive.\nAnswer: i**(-168\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -4, 6206, 1, -5, -3 in increasing order.\nAnswer: -5, -4, -3, 0, 1, 6206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the first derivative of -2*b**3\/3 - b**2\/2 - b - 4. Let x(s) = -s**3 - 3*s**2 - 2*s - 1. Let w be x(-2). Calculate f(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 d when two letters picked without replacement from rjttttdc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a + 15*a = 18*a. Suppose -3*v - 12 = -9*v. Solve a = -0*x + v*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 1058 = -5*j - 374, 0 = 4*j - 2*d + 1142. What is the tens digit of (-827)\/(-7) + 41\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the third derivative of a**5\/30 + 18*a**2. Let j(f) = -4*f**2 - 1. Calculate w(j(d)).\nAnswer: 32*d**4 + 16*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**3 + 7*u**2 - 9*u - 20. Let l be q(-8). Which is smaller: -9 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 64*b + 3.\nAnswer: -64*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that -3*u**3\/8 + 6698511*u**2\/8 - 15071589*u\/2 = 0.\nAnswer: 0, 9, 2232828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 535678 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8*t**2 - 25*t - 23*t - 3 + 168*t**6 - 19*t + 101*t - 31*t + 3*t**3 wrt t.\nAnswer: 20160*t**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(((o**(2\/21)\/o)\/o*o)\/o*o)*o*o\/o**(2\/51))\/((o\/((o**(-22)*o)\/o))\/(o*o**(-12))) assuming o is positive.\nAnswer: o**(-3586\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v = 15, -128*v + 200 = -5*s - 170*v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the third derivative of -o**7\/2 + o**4\/12 + 97*o**3\/6 - 61*o**2. What is the second derivative of d(i) wrt i?\nAnswer: -1260*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-26 + (-2560)\/(-100))*-12495. Calculate the highest common divisor of u and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**3 - 4*r**2 - 362*r + 2396. Give d(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 69, 86, 105, 120, 125, 114, 81, 20?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 401 (base 6) in base 11?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2321 (base 4) to base 7\nAnswer: -353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 2*b + 2. Let x be t(7). Let w = x + -17. Put 5, w, 3 in ascending order.\nAnswer: w, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-80)\/(-15))\/8 - (-301840)\/21?\nAnswer: 2, 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = -3*u - 319, 0*u = -4*u - 20. Sort 3, -1, -5, g.\nAnswer: g, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 6*j + 38. Calculate the remainder when y(4) is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -2 - 16*(-1 + 0). Let c be -2 + 0 + (-10)\/2. Let j = c - -10. Solve -z = j*q - 10, -3*q + 2*z - k = -6*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -15 + 5. Let j(x) = -x**3 - 10*x**2 + 2. Let k be j(s). Let m be (7\/28)\/(3*(-2)\/(-48)). Solve m*p = p + k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 27*j + 14*j**2 + 13 + 9*j**3 + 10 - 8*j**3 - 6. Let x be b(-12). Let n(p) = -p**2 - 22*p - 28. What is the units digit of n(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -93 - 9 - -164 - (1 + 45)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.63 to one decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 2*r + 10. Let m = 7 + r. Suppose 0 = 2*k - m*w - 1136432 - 143578, 4*k = -2*w + 2559996. Round k to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-4)\/(-6))\/(4\/18). Suppose l*j + 2*j - 10 = 0. Is (-18)\/(-2) + (0 - j) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 35 and 191205?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -50, -17, 16?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of s**4 - 4*s**6 - 707*s**2 + 2*s**4 + 782*s**2 wrt s.\nAnswer: -480*s**3 + 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*((-2*sqrt(832))**2 + 5) - 1*(2*sqrt(104)*2)\/sqrt(8)) + 0.\nAnswer: -4*sqrt(13) + 13332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -27, -74, -143, -228, -323, -422?\nAnswer: -519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 371.18013 rounded to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(64)\/sqrt(2)*5)**2 + -3.\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put together -75918 and -26.\nAnswer: -75944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*u**5 - 5313425*u**4 + 1197911*u**2 wrt u.\nAnswer: -120*u**2 - 127522200*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 5, f: 3}. What is prob of sequence ffaa?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -3*c. Let h(a) = -7*a. Let i(g) = 4*h(g) - 9*t(g). Let s(o) = -2*o**2 + 85*o - 33*o - 52*o. Determine s(i(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -467 - 1173342.\nAnswer: -1173809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 58, -2\/17, 124\/7, 4?\nAnswer: 124\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l**2*((((l\/l**(-3\/10)*l)\/l*l)\/l)\/l)\/l)**(-27) assuming l is positive.\nAnswer: l**(-621\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-28)\/(-2)*3069\/(-105028)*(-16)\/(-3).\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:26 AM and 10:20 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5508 and 408?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 2*c + 71 = -2*p, p = 3*c + 91. Suppose 109 = 2*t + p. What is the third derivative of -68*s - 3*s**2 - t*s**3 + 68*s wrt s?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14*g - 5*g + 3*g)*(-7*g**2 + 2*g**2 - 3*g**2).\nAnswer: 128*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.02 + -2. Let x = t + 0.48. Sort x, -5, -0.5 in descending order.\nAnswer: x, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 78.3939666 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 3*m = -24. Suppose 6 = 3*n - h, -4*h - 28 = -5*n - 11. Put n, m, -3, 11 in ascending order.\nAnswer: -3, n, m, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 52*j**4 - j**2 - 5*j + 41.\nAnswer: 624*j**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -22211 (base 3) in base 9?\nAnswer: -284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -53178*r - 159544. Give a(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -156 + 271. What is the highest common divisor of z and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -631\nAnswer: 4\/631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u. Let y(b) be the first derivative of -1\/3*b**3 - 2 + 0*b + 0*b**2. Let o(r) = -r**2. Let z(j) = 6*o(j) - 5*y(j). Give t(z(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z. Let g(k) = -3*k - 1. Let p(c) = -9*c - 3. Let d(t) = -14*g(t) + 4*p(t). Calculate d(b) - 5*f(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -93*b**2 + 6. Let m be t(-1). Let n = -133 - -425. Let w = n + m. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the second derivative of -c**6\/3 + 2*c**3\/3 - 19*c**2\/2 - 24*c. Differentiate w(h) with respect to h.\nAnswer: -40*h**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-4)*t**(-7\/2)*t**(-7)\/t**(-4\/11) assuming t is positive.\nAnswer: t**(-311\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -443*t + 18 = -3*j - 440*t, -j + 5*t - 7 = 3*t for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/18)\/(503\/((-63998199)\/422))\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y - z = -5*y + 3, 5*y + 5*z - 15 = 0. Let h be (y\/(-2))\/(8\/(-48)). Suppose 3*w = -h*q + 153, -2*q + 12 = 2*q. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 694631639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 17 = -2*p, -p + 12 = -3*x + 8*x. Let t = 2 + 7. Let a = t + p. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of m**2*n*r - 4*m**2*n + 851*m**2*r**2 - 203*m**2 - 2*m*n*r**2 - 520*m*n - 663*n + 2*r**2 wrt m.\nAnswer: 2*n*r - 8*n + 1702*r**2 - 406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 65519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-6*(sqrt(304) + -5 + sqrt(304) + -1 + -6*-2*(0 + sqrt(19))))**2.\nAnswer: -8640*sqrt(19) + 274895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2 + (1 - 5))\/(1 - -1). What is the nearest to -1 in u, 4\/9, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5110, 5178, 5264, 5368?\nAnswer: 5490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 18247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 18 = 3*y. Suppose -4*i = 3*f - 47, -y*f + 3*f + 4*i = -44. What is the remainder when ((-351)\/(-45) - -6)\/((-12)\/(-20)) is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*d - 731*d**2 - 248*d**2 + 1413*d**2 + 3*d + 3*d.\nAnswer: 434*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-four fifths of a day in minutes?\nAnswer: 21312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 2*b**2 - 4*b. Let w be (2\/4)\/((-2)\/(-12)). Let j be q(w). Let f(g) = g**3 - 4*g**2 - 9*g + 8. Is f(j) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -13*l + 1. Determine t(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 4 - 1)*(-3 - 1 + 3)*(2 - 3 - 12)*(-1 + 0 + 2)*(-109*o + 14*o + 59*o) to the form f + x*o and give x.\nAnswer: 1872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2774 + 2503 = -576*s - 313 - 746 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 163 times 12\nAnswer: 1956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 - -5. Let z(s) = 3*s - 1. Calculate the least common multiple of z(w) and (-1)\/1 + (-9)\/(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the first derivative of d**6\/30 + 3*d**5\/40 - d**3\/12 - 4*d - 3. Let u(v) be the first derivative of p(v). Factor u(r).\nAnswer: r*(r + 1)**2*(2*r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49 = 3*u - g, 4*u - 2*u = g + 34. List the prime factors of 648\/10 + (-12)\/u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.04 + -0.14. Suppose 5*z = -10, -2*u + 3*z + 16 = -z. Let f be u\/18 + 68\/18. Which is the second biggest value?  (a) k  (b) f  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2673)*-2)\/(sqrt(3) + (-2*sqrt(3)*2 - sqrt(3)) - sqrt(3)).\nAnswer: 18*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 40552422 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 148203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 575 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -4, 730, -1 in ascending order.\nAnswer: -4, -1, 2, 730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 85 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 112*h - 42. Let m(g) = -11*g + 4. Let i(o) = -21*m(o) - 2*t(o). Let z(j) be the first derivative of 0*j - 1\/3*j**3 + 3 + 0*j**2. Give z(i(r)).\nAnswer: -49*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -v + 1, -232*g - 3*v + 9 = -229*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1499 + 7948. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-26)\/(-5))\/(4\/10). Let k = c + 13. Let d = 65 - k. What are the prime factors of d?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -415 = -4067*u + 4287*u - 3121 - 2574 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -2*s + 2. Calculate u(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8400509939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r + 5*d = 0, 7*r = 2*r + 3*d for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -225*r + 101839 = 485*r + 27999 for r.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {e: 4, k: 3, z: 2, j: 1, y: 4}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the first derivative of 1721*p**5\/5 - 71*p**3\/3 - p**2 + 493. Find the third derivative of i(s) wrt s.\nAnswer: 41304*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**3 - 4*n**2 + 4*n - 3. Let t be p(-5). Suppose -c + 5*c - 20 = -4*d, 0 = t*d - 6. Let a = 7 - 3. Solve -2*o + o + 1 = -c*f, -a*o = -5*f - 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 4556\/51 - (-2)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:50 AM and 2:26 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 25163\/105 + 4\/(-60)*-6. Let v = o - 240. What is the common denominator of v and -143\/36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*g - 10 + 3*g + 6)*(2*g**2 + 0*g**2 - g**2) to f*g**2 + z*g + j + v*g**3 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*p - 2*p**3 - 5*p)*(2*p + 4*p - 13*p).\nAnswer: 14*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that 0 - 4\/5*d**3 + 0*d**2 + 0*d + 2\/5*d**4 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) -51  (b) 5  (c) -3  (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -19, -59, -121, -199, -287, -379?\n\"Answer: q**3 - 17*q**2 + 4*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qbbr when four letters picked without replacement from {b: 4, q: 8, r: 2}?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of -10 and 19.286.\nAnswer: -192.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52094.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 191809 is divided by 206.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 37984 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8296.744 years to millennia.\nAnswer: 8.296744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 1\/4, 0.2, 0.1, 2\/9, 83, -3.6, 0.5?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is (((-6727)\/14)\/(-31))\/(1\/4) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5 + -4.7. Suppose 851 = 5*u + 3*c, -c = -2*u - 2*c + 341. Let t = 171 - u. Put t, d, -2\/67, 2\/5 in increasing order.\nAnswer: t, -2\/67, d, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5\/291 in 4\/5, -0.5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 859563899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -4, 7, -302, -15, 2, 3.\nAnswer: -302, -15, -4, 0, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5309, 5302, 5183, 4862, 4249, 3254, 1787, -242?\nAnswer: -2923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -3384*x**2 + 54140*x + 64 = 0. Calculate x.\nAnswer: -1\/846, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.09 + -0.31. What is the third smallest value in -22, -0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4 + -1. Suppose 3*b + 4 = 2*p, -5*b = -4*p - 0*p + 8. Let o = -4 - b. Put -1, o, x in ascending order.\nAnswer: x, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-42)\/(-140))\/((6\/20)\/((-152)\/(-95))).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -17*l + 17*l - 9*l**2 + (l + 0*l + l)*(-2*l - 2*l + 3*l) + 4*l**2 + 3 - 3 as r + o*l + k*l**2 and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 99662783?\nAnswer: 11, 9060253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b + t - 4*t - 13, 3*t = b - 16. Are b and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2940) - (sqrt(2940) - 2*sqrt(2940))) + sqrt(2940) - sqrt(360)\/sqrt(96))\/((3*sqrt(24)\/sqrt(2) - sqrt(12)) + -1*sqrt(300)).\nAnswer: -83*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -9  (b) 2\/11  (c) -2.3  (d) -338  (e) 3.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 8609882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -13*a**3 - 5*a**2 + a - 7. Let q(c) = 7*c**3 + 3*c**2 + 4. Suppose -3*t = -4*u + 26, -3*u - 3*t + 19 = 2*u. Let y(p) = u*q(p) + 3*r(p). Factor y(n).\nAnswer: -(n + 1)*(2*n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3564 - 3354. Solve 0 = 211*k - s*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 33*d = 34*d + 2875, 0 = -5*r - d + 2865. Is r > 574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -14, -218, -780, -1880, -3698, -6414, -10208?\n\"Answer: -30*h**3 + h**2 + 3*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 37199 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 the highest common divisor of 74 and 222?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -3*f - 26, -5*f + 5*n + 16 = 56. Let p(j) = 4*j**2 + 2*j + 3. What is the remainder when p(3) is divided by -3 + 1 - -1 - (-33 - f)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-2\/9)*v**(9\/2))\/(v**(2\/27))**(-2\/13))**(-2\/127) assuming v is positive.\nAnswer: v**(-3011\/44577)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 27 + -38. Let b = -11.5 - s. What is the third smallest value in -1\/3, -0.07, b?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 165 + -158. Let w(x) = 2*x**2 + 3*x - 5. Let v(l) = 3*l**2 + 2*l - 6. Let c(i) = 3*v(i) - 4*w(i). Determine c(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**5*a*a\/((a**15*a)\/a)*(a**9)**(2\/89) assuming a is positive.\nAnswer: a**(-694\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*i = 11*m - 6*m - 7*i, 0 = m - 5*m - 5*i - 17 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in thirteen quarters of a millennium?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-43))\/(((-4)\/(-3))\/(184\/138))\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 9016392 a multiple of 1804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -6, -4\/5, 0.2, 1\/4, -123, -2, 2\/13?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 5*t**2. Let h(f) be the second derivative of f**4\/6 - 7*f. What is u(h(o))?\nAnswer: 20*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 8288.47 rounded to the nearest ten?\nAnswer: 8290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(440)\/((2*sqrt(90) + sqrt(90))\/sqrt(9)))\/(sqrt(28)\/(1*sqrt(7)*-1)).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 430030, 429979, 429924, 429865, 429802, 429735?\n\"Answer: -2*x**2 - 45*x + 430077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 47822982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/4  (b) 30  (c) 0  (d) -3\/7  (e) -0.3  (f) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {h: 4, u: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((-6*sqrt(2)*2)**2 - (sqrt(8) + 0)**2).\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/9?  (a) -2  (b) 12  (c) -3\/5  (d) 5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**3 - 15*j**2 + 39*j - 130. Calculate l(13).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 440, 1534, 3358, 5912, 9196, 13210?\n\"Answer: 365*i**2 - i + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.14 and 5.7217758.\nAnswer: -0.801048612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the second derivative of -5*l**4\/3 + 5*l + 7. Let g(n) = -3*n. Give p(g(k)).\nAnswer: -180*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 240 and 2100?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14437?\nAnswer: 14437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -936 = -231*b - 2091. Sort 19, 2, -26, b in increasing order.\nAnswer: -26, b, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5573*h - 55161 = -17230 + 54152 + 41669 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -3 * 158.4\nAnswer: -475.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-196)\/84)\/((-1638)\/(-71604)).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 55, 2 in descending order.\nAnswer: 55, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a**2 - 4*a - 7. Calculate y(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 2815383*i**2. Let p(m) = 9*m**2. What is p(k(j))?\nAnswer: 71337432930201*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 + -1. Let g = -0.1334 + 0.4334. Sort 2\/7, c, 0.1, g.\nAnswer: c, 0.1, 2\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 33121 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y = -0*c - 5*c + 28, 4*y + 12 = -c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -21*j**2. Let q(b) = 12*b. What is h(q(w))?\nAnswer: -3024*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add together 130.89674 and 133.\nAnswer: 263.89674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76) + 2 + -4)*2)**2*5.\nAnswer: -160*sqrt(19) + 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 - 19.84597.\nAnswer: -19.84597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.24138961 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lcl when three letters picked without replacement from {l: 3, c: 1, t: 8, k: 5, p: 2}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(-1))\/(i\/(i*i**(3\/7)\/i))*(i*i**(1\/4)*i*i*i)\/i**(-7)*(i**(-1\/3)*i*i)**(-17\/4)*i**(2\/7)*i**(1\/3) assuming i is positive.\nAnswer: i**(59\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 4*z = -0*z. Sort 1, z, 30 in descending order.\nAnswer: 30, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100654364 (base 7) to base 10.\nAnswer: -5879213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**3\/2 - 13156*v**2 - 52627*v\/2 - 13157.\nAnswer: (v - 26314)*(v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*q + 12*q = 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the third derivative of -23*k**6\/360 + 47*k**5\/180 - 25*k**4\/72 + k**3\/18 + 177*k**2. Factor j(h).\nAnswer: -(h - 1)**2*(23*h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8082893351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 10*i + 557. Calculate the lowest common multiple of 14 and o(-34).\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 65631, 262444, 590467, 1049700, 1640143?\n\"Answer: 65605*m**2 - 2*m + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(2\/7)*y)\/y)\/y**(-3\/8) assuming y is positive.\nAnswer: y**(37\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 68 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 440*z + 438*z + 439*z - 1315*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 4, u: 10}. Give prob of picking 2 u.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 + 4. Suppose 0 = -3*q - 6, -2*d - 3*q + w*q + 28 = 0. Let n = d - -1. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 + -9. Let n be (-2)\/(-6) + l\/(-120)*-14. What is the closest to 0.02 in -4\/3, n, 4\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24\/(-36) - (-1 + 1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:42 AM and 10:12 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 22 = -64. Suppose 3*i + 0*i = t. Suppose i*k = 9*k - 6. Solve k*m + 2 = 2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37906*h + 15286*h - 47183*h - 504*h.\nAnswer: -70307*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 444 - 240. Let a = -64 + f. Let q = a + -140.00089. What is q rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the third derivative of y**9\/252 - 23*y**6\/120 + 3*y**5\/4 + 50*y**2. What is the third derivative of h(i) wrt i?\nAnswer: 240*i**3 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f**2 + 2*f - 4. Suppose 0 = 3*x - 24 - 21. Is v(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 31\/51 - -1\/17. Which is smaller: c or 1\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 335867941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -8231897 (base 10) in base 2?\nAnswer: -11111011001101111011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-6)\/(-8))\/((-1)\/(-40)). Let r = j + -19. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 126*-33\nAnswer: -4158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -99 + 102. Let g = 0.14 - 0.04. What is the closest to g in 0.3, l, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11835 and 225?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**3 + 6*d**2 - 7*d - 9. Let x be a(4). Let w(z) = z**3 + 5*z**2 - 3*z + 5. What are the prime factors of w(x)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 37 + -15. What is the smallest common multiple of -7*3*(-8)\/28 and x?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10230, -10006, -9406, -8244, -6334?\nAnswer: -3490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 24435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -35 in -4, 0, 1.2, 1, -21\/2, 2\/11?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 2, u: 2, x: 1, l: 6}. Give prob of sequence xll.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the second derivative of -y**5\/10 - y**4\/12 + y**3\/6 + 33*y**2 + 6*y. What is the second derivative of o(w) wrt w?\nAnswer: -12*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + -22 + (-8436)\/(-304).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2549 - -2557. Calculate the least common multiple of h and 402.\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = -3*t, -c - 2*c = -4*t. Let d(i) = i**3 + i**2 - i + 3. Let m be d(t). Suppose -u = -m*u + 6. What is the least common multiple of u and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -11\/305508926 and -21\/45413489.\nAnswer: 3360598186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the third derivative of -3*u**2 + 0*u + 0*u**4 + 0 - 1\/40*u**6 + 0*u**5 - 4\/3*u**3. What is the derivative of b(j) wrt j?\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 = -21*w + 8. Suppose -5*c + k + 7 = -15, 0 = -c + 5*k + 14. Let s be ((-1)\/2)\/((-18)\/c). What is the nearest to 2\/7 in w, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**3 - t**2 - 24*t - 141. Let y be r(-4). Solve -4*l - y*i = -23, 4 = 15*i - 11*i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*z - y - 20, -11*z + 6*z - 3*y = 30 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**3 - 4*s**2 - 5*s - 4. Let q be r(-3). Suppose 7*p - 95 = q*p. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-2\/7)\/o*o*(o*o**0*o*o)\/o*(o\/(o*o*o*o**(-1)\/o*o))\/o**(4\/5))\/((o\/(o**(-2\/5)*o)*((o\/(o**6\/o)*o)\/o)\/o*o)\/(o**(-4\/7)\/o**4)) assuming o is positive.\nAnswer: o**(-37\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 13\/7 - 15\/7. Let m = -230\/24339 - 2\/3477. Let b = m + 2\/19. Sort o, -0.1, b in ascending order.\nAnswer: o, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the third derivative of -x**8\/1344 + x**7\/420 + x**6\/240 - x**5\/30 + 7*x**4\/96 - x**3\/12 - 5*x**2. Factor h(a).\nAnswer: -(a - 1)**4*(a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*p**2 + 2*p**2 + 34*p**2.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -91910\/69 - -1332. Does j = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -5 + 0\/((-2)\/(-2)). Let d be 7 + (-2 + -8 - -6). Suppose -2*b + 3 = s - 5*b, -2*b + 9 = d*s. Put -1, s, p in descending order.\nAnswer: s, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 870.3236 nanometers in centimeters?\nAnswer: 0.00008703236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u - 6. Let n = 4 + 2. Let s be y(n). Let q be (-1)\/3 + (-21)\/(-36). Which is greater: q or s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2116, -8153, -18420, -33085, -52316, -76281, -105148?\nAnswer: -139085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -10152 (base 9) to base 15\nAnswer: -1eae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1394524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1447213.\nAnswer: 1447213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - -2) + (-35)\/(280\/(-36))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 158 + -241. Let n be 6\/8 + 1169\/(-28). Let o = n - m. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000056491 rounded to seven dps?\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -141*d**2 + 4*d wrt d.\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 4, -5, -7, -3 in descending order.\nAnswer: 4, -3, -5, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-14 - -13)*(-18 + 1)*43. What is the highest common divisor of w and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (40\/(-77))\/((-4585)\/12838)?\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 699559990 to the nearest integer?\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -3*b - 64, -4*g + 3*g - 22 = b. Suppose 46 + 8 = -6*x. Let z = x - b. Solve -3*r + 5*o + 4 = z, 4*o = 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 332 - 332. Solve -4*n + 2*c - 14 = p, n - c = -0 - 3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (4\/(-12))\/(1\/(-12)). Let a(y) be the first derivative of -1\/15*y**5 - 1 + 8\/3*y + 5\/12*y**i - 2\/3*y**3 - 2\/3*y**2. Suppose a(h) = 0. What is h?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 1 o, and 1 p when three letters picked without replacement from mmmmpommmmm.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43 + 10 = 11*v. Let w = v + 3. Solve -2*p + w = 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12 - 27. Let t = m + 9. Is 0.1 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 - -21. What is the remainder when 68 is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o - 2 + 12. Let a = 24 - 4. Suppose 3*b - 83 = -5*h, -2*h - 2*b = -a - 14. What is the lowest common multiple of h and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.04 + -0.44. Let p = 2 - 4. Let o = 4 + p. Which is the nearest to -1\/3?  (a) f  (b) o  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (3050\/500 - 3*2)\/(5\/25). Factor -x*d**2 - 3\/2 - 2*d.\nAnswer: -(d + 1)*(d + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes after 1:21 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -2*f**2 + 21*f**2 + 3*f + 21*f**2. What is the units digit of g(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.2 + -0.2. Let a = 40 - 39. Sort 3\/7, a, d.\nAnswer: 3\/7, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 145365 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: Evaluate -8 - 2 - (-102 - -83) - -21.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 - 557297?\nAnswer: -55729a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes after 11:09 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 12529, 50197, 112979, 200875, 313885, 452009, 615247?\n\"Answer: 12557*x**2 - 3*x - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**3 + 16*v**2 - 51*v + 39. Let o be u(12). Let f(s) = -o*s - 3896*s**2 - 7 - s**3 + 1944*s**2 + 1946*s**2. What is f(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -25899, -51801, -77703, -103605, -129507?\nAnswer: -155409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 485 minutes after 6:19 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12588386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.1 - 3.7. Let q = -3.5 - x. Let d be (-6)\/8 - (-3)\/(-12). Which is the smallest value?  (a) d  (b) 2  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -466816, -933637, -1400458?\nAnswer: -1867279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1168236.3 hours in weeks?\nAnswer: 6953.7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*n + 3*n + 12. Suppose x = 5*x - 12. What is the second derivative of k - 6*k + 3*k - x*k**n wrt k?\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6 + -6. Suppose -g - 3*g = a. Let s(f) = f**2 - 3*f - 8. Let q be s(-2). Solve -q*w - 2*w + 4 = g for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**3 + 7*o**2 - 6*o + 2. Let z be w(6). Let r(u) = u**3 - 2. Let x(y) = -766*y + 7 + 6*y**3 - 3 + 766*y - 8*y**3. Give z*x(v) + 5*r(v).\nAnswer: v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 120213*s. Let w(t) = t - 7. Calculate w(b(q)).\nAnswer: 120213*q - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 134 = 5*g, -c - 3*c - 13 = -g. Let p = 2 + -2. Suppose 4*o - 3*a - 8 - 31 = p, 5*o - 48 = 3*a. What is the remainder when g is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -7*k**3 - 3*k**2 - 2*k + 2. Let x be v(3). Let h = -124 - x. Suppose -q + h = 3*q. What is the greatest common divisor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 780 and 39344565?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 500 + -384. Suppose -24*a + 1244 = h. What is the remainder when 234 is divided by a?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -131 in -1, -0.5, 0.05, 1\/28?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the first derivative of 7*u**2\/2 + u - 10. Let s be c(2). Suppose 5*v + 25 = -3*d + 79, s = v + 2*d. What is the remainder when v is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 2*a**2 + 264*a + 1519. Determine v(-126).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2323, 4251, 6179, 8107, 10035, 11963?\nAnswer: 13891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -19*x + 11. Let i be k(-7). Suppose -d = d - 36. Calculate the highest common divisor of i and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 345125797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 511690 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the second derivative of -j**5\/4 + 75*j**4\/2 - 2250*j**3 + 67500*j**2 - 17*j. Factor r(c).\nAnswer: -5*(c - 30)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 252 and 685440?\nAnswer: 685440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 119056  (b) 2  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*t**3 - t**2 - 4*t**2 + 4 - 2*t**2 + 3*t - 4*t in the form q*t + p*t**2 + l*t**3 + j and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10987 - 1398. Suppose -l + 2109 = -17*k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -15105 by 3.\nAnswer: -5035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/10 and -25\/463.\nAnswer: 4630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 2, -4, 4, -3, 14 in descending order.\nAnswer: 14, 4, 2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:59 AM and 5:19 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 68*u - 67*u + 2*s + 13 = 0, -10*u - s = 111 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 2*n. Let k(p) be the third derivative of 0*p**3 + 0*p + 1\/15*p**5 + p**2 + 0 + 0*p**4. What is v(k(h))?\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44373971?\nAnswer: 269, 293, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 13*p + 173. Let s be (-19 + 16)*(12\/9 + 3). Let c be b(s). What is the highest common divisor of c and 212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = 2*l, -33*n + 16*n - 2*l = 45 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w + 16 = z + 7, -5*z = -2*w - 19 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3*j + 4*j - 3*j)*(-3*j**2 + j**2 + 0*j**2) + 2*j**3 - 3*j**3 + 0*j**3)*(0*j + j + j).\nAnswer: 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24 - 5 + 2 - 1018*i.\nAnswer: -1018*i - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*k = 37*k - 189134. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-51)\/(-4) + (-1)\/(-4). Suppose -25*x + 434 = 37*x. Solve x = 3*h + y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the third derivative of -1\/3*p**3 + 0*p + 0 + 1\/6*p**4 - 4*p**2. Give v(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -30719*l + 72. Let z(g) = 53758*g - 128. Calculate 16*i(m) + 9*z(m).\nAnswer: -7682*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 891 + -892. Which is the closest to -2\/17?  (a) h  (b) -4  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1536 and 364416.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(56)*-2*-1)\/sqrt(8).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1728650516 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -209609771*h**3 - 110858668*h wrt h?\nAnswer: -1257658626*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -29*f**4 - 79006*f**2*p**3 - 484*f*p - 23*p**3 + 29*p**2 - 2 wrt f?\nAnswer: -348*f**2 - 158012*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 120 = y + 5*a, -2*y + 3*y - 5*a - 160 = 0. What is the highest common divisor of 56 and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1 + -3)\/(28\/42). What are the prime factors of (98\/(-42))\/(2 + 14\/w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (48609\/(-5400) + 5 + 4)*154 and -38\/375?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*a + 12*a + 28 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 16 + -3190?\nAnswer: -3175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 169182, -10, 2, 4.\nAnswer: -10, -3, 2, 4, 169182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 39 + 3 = 0. Let c = l - 38. What is the derivative of 2 - 34*z - 34*z + c + 47*z wrt z?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*u - 4*u = -2*u. What is the nearest to 0.16 in 5, -2\/17, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ara when three letters picked without replacement from rrrarrrraararrrarr?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 27 - 15. Let f be (-3 - (0 + -2)) + 3. Suppose 43 = 2*d - 3*r, d + f*r + 2*r - 27 = 0. What is the remainder when d is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m = 4*j - 13, m = -8*j + 6*j + 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fig when three letters picked without replacement from {z: 1, i: 1, d: 1, f: 1, g: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -10045 (base 6) in base 12?\nAnswer: -925","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 61220 - 55100 = 136*f for f.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 338 - 216. Calculate the remainder when m is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) -155\/2  (b) -3  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (10\/3)\/((-10)\/(-75)). Suppose -5 = -3*y + a. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**2 + k. Let w be c(1). Suppose 9779 = w*o + 5*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*h - 188 = 316. Suppose h*f - 3704 = -1072. Calculate the remainder when f is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/348 and -55\/48?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 101408157.\nAnswer: 3, 29, 37, 10501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 603304?\nAnswer: 2, 13, 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o = b - 3, b + 0*b + 1 = -3*o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 6*u**2 - 3*u - 5. What are the prime factors of a(4)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -574*f**3 + 1915*f**3 + 6793*f**3 + 1147*f**3.\nAnswer: 9281*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 99624681*d**2*w**2 + 4*d*w**2 - 24*d - 126090*w**2 wrt d.\nAnswer: 199249362*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -3  (b) -24\/17  (c) -0.1  (d) -1.9925\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7579 = 1014*h + 2023 + 17461 + 39809 for h.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 57*d**2 - 1172889 - 3116*d - 58*d**2 + 950*d.\nAnswer: -(d + 1083)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**3 - 15*t**2 + 35*t - 7. Let n be f(-28). Let q = n - 5748. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*i = -6*i - 288 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes before 2:50 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -88 - -104. Let z be 80\/b - (-32)\/(-6). What is the closest to 0 in 3, 2\/3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 782 and 4998.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5481620 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 9 + -5. Suppose 14 = -3*c + 10*c. Suppose 0 = c*h + 5 - 9. Solve h*z - 24 = 5*f, b*f - z + 8 = -5*z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3715 is divided by 186?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z - 6. Let l be (-6)\/2 + 7\/7. Let n(o) be the second derivative of o**4\/4 + o**3\/2 + o**2\/2 - o. Let i be n(l). Calculate h(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -313*j - 18830 + 5094 = -111*j for j.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.6 - 1. Let u = 14.2 + 2.8. Let h = u - 18. Which is the closest to h?  (a) o  (b) 4\/7  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 46 is divided by (-216)\/9 + 11 - -31.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*s + 434 + 160 = 46*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 2*m - 8. Let h be b(6). Let x = 38 + -32. Let c(q) = 3*q + x - q + 4*q - h*q. Calculate c(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -1, 0, 2, 167, -820 in increasing order.\nAnswer: -820, -2, -1, 0, 2, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(5\/(-315)))\/(((-7875)\/(-70))\/(-75))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58*u = -16874 - 990. Calculate the highest common divisor of u and 1001.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-204)\/(-170) + ((-42)\/(-12))\/(15\/(-6)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c**3\/7 + 164*c**2 - 75066*c\/7 - 235476\/7 = 0.\nAnswer: -633, -3, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1177?\nAnswer: 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j = 3*n + 59, 2*j - 16380*n = -16382*n + 26 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/777699 and 14\/4335.\nAnswer: 3888495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**3 + 8*t**2 + 9*t + 1. Let n be b(-6). Let a = -9 + n. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 1 k, and 1 i when three letters picked without replacement from mimkkmg.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1282*y - 999 wrt y.\nAnswer: -1282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 90528 and 43917396.\nAnswer: 351339168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 7 - (-3)\/(-6)*6. Let n(s) be the first derivative of -s**2\/2 + 5*s + 1. Let o(y) = 4*y - 12*y - 11 + 2*y + 8*y. Determine r*o(g) + 9*n(g).\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -2*p + 3*p + 44 - 15*p. Let g be q(3). Let i = 0.8 + 0.2. Which is the smallest value?  (a) i  (b) 5  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-1*sqrt(13)*2 + 2 + sqrt(13)*1)*1)**2.\nAnswer: -16*sqrt(13) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -1221020201210 (base 3) to base 2\nAnswer: -11111011000101001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4*v**4 + 3*v**3 + 8*v**2 + 4088 wrt v.\nAnswer: 16*v**3 + 9*v**2 + 16*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49926*g**4 + 49934*g**3 - 499252*g**2 + 399328*g + 64 = 0. What is g?\nAnswer: -4, -4\/24963, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*r + 0*r + 7*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**2 + q - 22. List the prime factors of z(-10).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 3 = -5*k + 6, 4*k = 4*u + 12. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -3 - (558\/(-36) - (-1)\/2). Suppose -8*n + 4*n - k + l = 0, 3*n - 5*k = -14. Solve -n*m - 17 = 4*j - 7, 0 = -5*j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -13 in -0.5, 0, 29, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -615103, -1230123, -1845045, -2459863, -3074571, -3689163, -4303633, -4917975?\nAnswer: -5532183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:22 PM and 4:10 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 2 + 0)*(0 + 3 + 1)*(-3*i - 4*i - i) to x*i + d and give x.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1987 (base 15) to base 3.\nAnswer: 21120201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 + 44 = -6*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 62 - 52. Calculate the remainder when 46 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (11*23\/4301)\/(-2).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/(-2 + (-125)\/(-70)). Let n be (16\/2 + z\/(-14))*1. Suppose -13*v = -n*v - 280. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-9)\/18 - (-4221)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 924 and 480.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 92565 and 623271.\nAnswer: 9349065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 5*w - 4*w**2 + w**3 - 9 + w**3 + 2*w**3 - 2*w**3. Let z be d(8). Suppose -5*j - 4*f + z = 0, 3*j - 445 = f + 48. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least 111\/69053?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -8 - 32. Let h = w + 50. What is the remainder when 33 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(((-20)\/(-65))\/2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 828113.4 millennia to decades.\nAnswer: 82811340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 7*a**2 + 297*a + 85. Calculate f(-42).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 11*b - 828. Let y be p(78). Solve q = y - 35 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/4, 1, -7, 0.19, -1\/2?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 4*n + 12 = 4*o, -2*o - 2*n + 16 = 0. Solve -2*f = -8, 3*x - o*f + 13 = 2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g - 1268 + 323 = 0. Suppose h - 58 = -3*y, -4*h - 4*y - g = -7*h. What is the greatest common divisor of 245 and h?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1533 + -233. Let c = -276 + x. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42352 is divided by 21166?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes after 8:22 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -2*q + 10, 2*r + 3*r - 3*q = 23. Let v(s) = -s - 9. Let f be v(-14). Let c = 4 - f. What is the biggest value in 5, r, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -27, -99, -165, -225?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o - 13*t - 12 = -11*t, 565*o - 3*t + 1250 = -445 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3255425 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m**3 + 13*m**2 + 14*m + 4. Calculate c(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/5?  (a) -1  (b) 0.4  (c) 49  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 3*a = -11, -5*z - 2 = -3*z + 2*a. Let u be ((-6)\/z)\/(-2*9\/(-30)). Suppose -b + 289 = u*i - 3*i, 2*b + 430 = 3*i. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -23*j - 777 + 202 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -53501483 * 0.2.\nAnswer: -10700296.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 20*u - 3. Let o be b(2). Suppose 4*p + 16 = 0, g - 4*p + o = 2*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/5 of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**3 + 11*s**2. What is i(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -658*d - 1125*d**2 + 3 + 331*d + 329*d - 3 - 1093*d**2 + 2250*d**2.\nAnswer: 32*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n + n + 0*n)*(-39*n**2 + 5*n**2 + 282*n**2) + (n**2 + n**2 - 4*n**2)*(-2*n + 5*n - 2*n).\nAnswer: 494*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 142881 to the power of 1\/2, to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iss when three letters picked without replacement from {a: 3, s: 3, i: 3, z: 1, v: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -8026233 + 6?\nAnswer: -8026227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40657582.\nAnswer: 2, 7, 71, 40903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 66 is divided by 41?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(153) + sqrt(153) + 1 - sqrt(153).\nAnswer: 4 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 3 - 73 = 0. Calculate the remainder when z is divided by (2 + 0)\/((-4)\/(-18)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 18223, 35248, 51087, 65740?\n\"Answer: -593*t**2 + 18804*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 * -63.\nAnswer: 25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5 - 5 - 3*f**5 + (0*f + 5*f - 2*f)*(-f**4 + 0 + 0).\nAnswer: -6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from vvuvu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1115833119 to the nearest integer?\nAnswer: 33404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r + 3 = -3*u, -4*r + 380 = -5*u + 343 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*h + 7*h - 6*h)*(2 + 1 - 1)*(-1 + 3 - 1).\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10998 + -4219. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -11*j - 571. Give q(-51).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j**3 - 9*j**2 - 5*j + 107. Give s(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) 0.00121  (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -8421 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o - 5*t + 1840, 0 = 3*o - 5*t - 0*t - 1128. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 0 - i**3 + (0*i**2 - 5*i**2 + 4*i**2)*(-i + 4*i + 0*i) - 25*i**3 - 5*i**3 + i**3.\nAnswer: -33*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvqv when four letters picked without replacement from qckcccccvqvppqpqpcc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 44*a + 4. Let y be b(1). Suppose 0 = -y*u + 57*u - 153. What is the remainder when 25 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3309*m**3 + 95 - 121 - 2 + 11 + 17.\nAnswer: -3309*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8 - -8. Let q be 1\/(-3 + (-68)\/(-22)). Let x be 1 + g + q + -9. Solve 7*p - x*p - 20 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 4953085 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = -75*k - 74*k + 9966. Solve -41*d = -8*d - k for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 2*q**2 + 3*q + 2. What is g(5)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -6b12 - -16?\nAnswer: -6ac9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13273014?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 5 = l. Solve -2*v = -2*k + l, -4*v + 2*k = 5*k - 23 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2.964 - -1.964. Is n less than 50\/271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -4\/141, -3\/8 in decreasing order.\nAnswer: -4\/141, -0.3, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y - 14 + 116. Suppose -4*o - 2*i = -176, 0 = 5*o - 5*i - y - 88. Calculate the remainder when o is divided by ((-3)\/6)\/((-2)\/60).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0 - ((-2)\/2 - 26). Let o = m - 7. Let s be -1*-4*(1 + 0). What is the greatest common factor of s and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -r - 0*h - h, 15 = 4*r + 5*h. Let y(g) = -3*g - 609*g**2 + 4*g + r*g - 6*g. Let z be y(-5). Round z to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the first derivative of -7\/2*g**2 + 1\/20*g**5 - 1\/6*g**3 - 15*g + 27 + 7\/12*g**4. Let y(z) be the first derivative of t(z). Factor y(h).\nAnswer: (h - 1)*(h + 1)*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = 10, -4*t - 130 = -3*h - 2*t. What is the second derivative of -40 + a + 5*a**2 + h wrt a?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 divided by 1759364?\nAnswer: 15\/1759364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 657856810 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 2.747252 - 0.1\nAnswer: 2.647252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10 - -10. Let f = 4 - q. Solve f = -g + k, g + 4 + 0 = 2*k for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8245434 divided by -6\nAnswer: -1374239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the first derivative of -l**4\/48 + l**2\/2 - 5*l - 9. Let m(n) be the first derivative of t(n). Factor m(b).\nAnswer: -(b - 2)*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the third derivative of f**6\/120 - f**5\/10 + f**4\/4 - 5*f**3\/6 + 13*f**2. Let w be m(5). Put 3, w, 4, -1 in decreasing order.\nAnswer: 4, 3, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*x + 130 = 370 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*q**5 - 8*q**4 + 18*q**3 + 32*q**2 - 40*q = 0. Calculate q.\nAnswer: -5, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*d = 28*d + 90 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*d**3 - 4*d**3 + d**3)*(4 - 4 + 1)*(-21*d + 16*d - 39*d).\nAnswer: -220*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 483\/2 - (-2)\/4. What is the units digit of (-10 - -5) + (y - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in six fifths of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -43 - -110. What are the prime factors of r?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3815 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 24931 and -5?\nAnswer: 24936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 254085140 is divided by 6761.\nAnswer: 6760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:12 AM and 5:57 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*l**2\/7 + 16280*l\/7 + 16564900\/7.\nAnswer: 4*(l + 2035)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4 - -6)*1\/1. Suppose -3*j = -v*j - 33. List the prime factors of j.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5 + -2. Let v be -3*(1 - -9 - (161 - 152)). What is the smallest value in v, -1.2, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from psppdspfkkkdpepdpk. Give prob of picking 1 f, 1 s, and 1 k.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -23\/19491 or 1?\nAnswer: -23\/19491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 358a648 (base 11) to base 13.\nAnswer: 13ab410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1 + -3. Let d(t) = -3*t - 2. Let g be d(p). What is the highest common divisor of g and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 165643759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3895100805?\nAnswer: 3, 5, 1129, 230003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*c - 29 + 4. Let p = 85 - 61. Suppose g + 5*l = p, 0 = 2*g + 5*l - 57 + 14. What is the remainder when g is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1409.361337 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 7996717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 39\/65 - (-32)\/5. Let k be r*(-1 + 0)*-1. Suppose 6*g + 7 = k*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 24, 1\/100, 2, 0.9, 1\/3?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a\/(a*(a\/(a\/(a\/(a**3\/a)*a)))\/a*a*a*a))*a)**(-2\/53)*(a**(-2\/5))**(1\/17))**16 assuming a is positive.\nAnswer: a**(-12576\/4505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 126*(720\/35)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the first derivative of m**6\/40 + m**3\/3 - 2*m**2 - 3. Let o(p) be the second derivative of w(p). Differentiate o(l) wrt l.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1923990 divided by 6.\nAnswer: -320665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 2*y. Let i be s(-1). Let p(a) = -2*a**2 + 2*a - 1. Let w(r) = 17*r**2 - 25*r**2 + 1 - 2*r + 10*r**2. Calculate i*p(d) - 3*w(d).\nAnswer: -2*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -1  (b) -49  (c) -2\/11  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 35499599.11 to the nearest one hundred thousand.\nAnswer: 35500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**2\/4 - 19002*v + 1293292.\nAnswer: -(v - 68)*(v + 76076)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2681*l**2 - 2681*l**2 + 3*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 372877.8755 + -372801. Let s = 82.1322 + o. Let a = 159 - s. Round a to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*f**3 - 4*f**2 + 125481*f + 990834 wrt f?\nAnswer: 6*f**2 - 8*f + 125481","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 367907 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*b - b - 4*b + 7*b + 0*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vl when two letters picked without replacement from {m: 5, l: 4, v: 8}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 160 and 288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 137*u + 210 = -53*u - 20*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -242*o**3\/13 + 47256*o**2\/13 + 426240*o\/13 + 940032\/13 = 0.\nAnswer: -48\/11, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -109\/82554 and -19\/16.\nAnswer: 660432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from fffs?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -3*o + 5*o - 2*n, 2*n = 10. Let z = 168 - 166. Which is the nearest to o?  (a) -0.5  (b) z  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 2*y = -4*c + 661, 2*y = 5*c - 821. Suppose -105 = -3*t + 5*d + 21, -4*t + c = -5*d. What is the remainder when t is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*u**2\/9 + 53124592*u\/9 - 106249168\/9.\nAnswer: -4*(u - 13281146)*(u - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*v = 640628 - 638783 for v.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**2 + 5*l. Let w be b(-5). Suppose -4*c + 2*n - 4*n + 24 = 0, 3*n = w. Is c at most as big as 45\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l - 5*h - 1373937 - 200623, -629812 = -2*l + 5*h. Is (-42)\/315 + l\/45 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -123*r**3*s - 11405*r**3 - 8*r**2*s - 2203*r**2 - 2*r*s + 2*s + 2 wrt r.\nAnswer: -738*s - 68430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 79531, 79532, 79533?\n\"Answer: n + 79530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 37024 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: Sort 4, 0.4, -1, 7\/838 in decreasing order.\nAnswer: 4, 0.4, 7\/838, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -4*h + 317, -326 = -0*h - 4*h - 2*b. Calculate the least common multiple of 16 and h.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7 - -3. Let c = a - -1. Put c, 1\/4, 2\/5 in ascending order.\nAnswer: c, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58989?\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (64*x**3 - 840*x**3 + 87*x**3)*(-5*x - 3 + 3)*(-x + 2*x + 0*x).\nAnswer: 3445*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(120)\/sqrt(48))\/((sqrt(96)\/sqrt(4))\/sqrt(12)) + -3 + 5)**2.\nAnswer: 2*sqrt(5) + 21\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -48 - -580076?\nAnswer: 580029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 59 and 708.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z + 7. Let v be o(-4). Suppose -3*r - k - 563 = 0, -97 = v*r - k + 456. Let a = r + 264. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -5*s + 7. Let o(p) be the first derivative of -7*p**2 + 20*p - 4. What is 6*o(j) - 17*v(j)?\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 81 + -40 - -5 - -13\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -231 = 4*t - 243 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10401123*x**3 + 0*x**2 - 10401163*x**3 + 0*x**2.\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 144*a**2 - 2*a + 1. Let j be (-2)\/(-12) - 10\/(-12). Is h(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 18*n - 150. Let k be g(25). What is the common denominator of 43\/155 and (-120)\/k*(-58)\/(-4)?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000328407 rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 735973163?\nAnswer: 17, 101, 428639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from toeoggqotoqoqyg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 145 = -0*z - c, -2*z + 61 = -c. Suppose -q - z = -h + 15, -5*h + 211 = -4*q. Let f = -16 + h. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -10*r**2 - 30*r + 40. Suppose -3*p - 4*a - 21 = 0, 4*p + 3*a + 6 = 5*p. Let b(n) = -n**2 - 4*n + 5. Let l(g) = p*m(g) + 25*b(g). Factor l(s).\nAnswer: 5*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -5*w**2. Let r(h) = -5. Let u(x) = x + 6. Let f(i) = 6*r(i) + 5*u(i). Calculate f(d(q)).\nAnswer: -25*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*a + 5*a - 5*a)*(20 - 25 - 28).\nAnswer: -363*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 12*v - 6*v + 7*v + (4*v - 7*v + 4*v)*(0 - 5 + 2).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 95997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6 + 6 - 12)*(-3 + 3 - 2*n) - 4*n - 2*n + 2*n + (-2 + 3 + 1)*(-5*n + 5*n + n) - 20*n + 5*n - 5*n - 3 + 3 - n in the form i*n + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/1510 and -49\/3926.\nAnswer: 19630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -26\/53165 and 8\/68355?\nAnswer: 478485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -300, -1134, -2522, -4464, -6960, -10010, -13614?\n\"Answer: -277*y**2 - 3*y - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m**4 - m**4 + 0*m**4)*(2*m - 3*m + 0*m) + 2 - 2 - 3*m**5 - 2*m**5 + 0*m**5 - 3*m**5.\nAnswer: -10*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of (2 + (-140)\/3)\/(6\/(-18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 21a - 0?\nAnswer: 21a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - 7) + -119 + 119?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 60665 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6*d**3*g**2*n - 5*d**3*g**2*u - d**3*u - d*g*n*u - 2*d*g - 3*g**2*n*u + 3*g*n*u + 9*u wrt g.\nAnswer: -12*d**3*n - 10*d**3*u - 6*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -0.32+24855020867\nAnswer: 24855020866.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 2*n. Let q(h) = -572*h. Give q(c(r)).\nAnswer: -1144*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 112 = 5*o - 4*o, -4*o - 5*l = -493. Calculate the remainder when o is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n*n**(3\/28))\/n)**(-1\/57))**(-22\/7) assuming n is positive.\nAnswer: n**(11\/1862)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 384*t = -88*t + 8024 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and 2\/115 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxkxxxxvbbbvxxxvbo. What is prob of sequence bxxk?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 788352004?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -2 - -13 - 5 - 5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14 - 0) + 16 + -3 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 12*v. Let k(x) = -8*x. Give z(k(t)).\nAnswer: -96*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39132?\nAnswer: 2, 3, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -100003 (base 4) in base 7?\nAnswer: -2665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -57 divided by -5?\nAnswer: 57\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 101111 (base 3) in base 4?\nAnswer: 10123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 105281 is divided by 84?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -3*j - 3*j + 15*j - 10*j. Let z(w) = 31*w**2. Determine z(t(x)).\nAnswer: 31*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 205629?\nAnswer: 3, 68543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32\/(-1284)*4*(-63)\/(-336).\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(200)\/sqrt(250) + sqrt(80)*2 + sqrt(80))\/(sqrt(256) - sqrt(256)*-1*-5).\nAnswer: -31*sqrt(5)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**2 + m + 4. Let y be i(2). Suppose y*o = o + 2. Suppose -n + h + 84 = 0, 0*h = -5*n + o*h + 414. What are the prime factors of n?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the second derivative of -t**6\/10 - 3*t**5\/5 - 3*t**4\/2 - 2*t**3 - 3*t**2\/2 - t. Solve c(g) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 (base 10) in base 3?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10318 and 330.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -55*l**3 + 5*l**2 + 5*l - 62. Let p(x) = 27*x**3 + 5 + 22 - 3 - 3*x + 7 - 3*x**2. Let w(i) = 5*p(i) + 3*r(i). Differentiate w(g) with respect to g.\nAnswer: -90*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 545*i**2 - 97*i**2 - 77*i**2 - 108*i**2 - 74*i**2 - 92*i**2 - 96*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) 1\/2  (b) -0.3  (c) 25  (d) -2\/13  (e) 0.71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - 1 = -6 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i + 39*i - 9*i)*(0 + 0 - 2*i**2) + (4*i - 3*i - 3*i)*(-2*i**2 - 2*i**2 + 2*i**2).\nAnswer: -52*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (224\/(-16))\/(12\/3). Let t(q) = q**3 + q**2 - 2*q + 1. Let i be t(-3). Let h = i - -6. Which is bigger: o or h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 520 + -334. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 - 4. Solve -1 - l = -v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*c - 50*c = -2*k - 11*c + 50, 6*c = 3*k - 105 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4 and -5.03.\nAnswer: 20.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f**2 + 3*f + 30. Let h be n(6). Suppose 6*u + 2*z = 7*u - 4, h = 4*z. Solve 8*j = 3*j + 2*b - u, 0 = -j - b - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 69092701 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 61847 + 126674. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -3*r**3 - 411*r**2 - 4841*r - 641. Give k(-124).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 13399 - 13311. Suppose 3*f - 15 = 0, 2*f - 5*f + 475 = 5*c. Let h = c - a. Solve h*s + 8 = -0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16.48 rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6919473?\nAnswer: 3, 11, 307, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (11 + -5 + -13 - -5 - (35 - -29)) + 8.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1513818 a multiple of 333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 + -3 + -11 + 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t, 1 s, and 1 y when three letters picked without replacement from {s: 4, t: 6, y: 2}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 648412475*s**3 - 731021967.\nAnswer: 1945237425*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -687693, -1376040, -2064387, -2752734, -3441081?\nAnswer: -4129428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53 - 2*v**3 + 53.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -2*c**2. Let a be 1\/(-2 + 7\/3). Let w(x) = 3*x**2 - 3 + a - x**2. Calculate i(w(z)).\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 103*d = 105*d + 194. Let v = 145 + d. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -618966*i**2*y**3 + 2*i*y**3 - 7013*i - 7*y**3 wrt i?\nAnswer: -1237932*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -3, -1354 in descending order.\nAnswer: -1, -3, -1354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6*12\/24*72\/(-6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 466 minutes before 10:58 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate j - 63 - 1214 - 2*j**3 - 3662*j**2 + 3622*j**2 + 0*j**3 with respect to j.\nAnswer: -6*j**2 - 80*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -191 (base 11) to base 7.\nAnswer: -434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 579498 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 20061 + 39795 = 8*s. Is s a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -3 - -5 - (289 - 307).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6107 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15\/(-3)*(-90)\/100*8\/(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 15.2 + -14. Which is the closest to 1?  (a) d  (b) 0.4  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - 7) + 57 + -56 - (1 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + y = 3*y - 15, -5*y = -2*o + 29. Solve 3*r + 4 - o = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the first derivative of -s**4\/4 + 3*s**3 - 9*s + 1. Calculate v(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -10 + 12. Solve x*a = -1 + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -3*(6\/(-18))\/((-3)\/126). Which is smaller: a or -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 19 + -15. Suppose 3*b + l - 4*l - 270 = 0, -w*b = -3*l - 356. Let a = -61 + b. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -2*o**2 - 33*o + 27. Give z(-17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*n + 613 + 635 = 0. Let k = 587 + n. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -44, -88, -132, -176?\n\"Answer: -44*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (525\/(-10))\/((-3276)\/624).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the third derivative of -p**7\/70 - p**6\/40 + p**5\/20 + p**4\/8 - 35*p**2. What is a in g(a) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 4*z + 2. Let k be t(3). Let w = k + -8. Suppose 5*r + 544 = -v + 42042, -3*v = w. Round r to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 87993.\nAnswer: 3, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(85) - (sqrt(85) + -2*sqrt(85))*-5)\/(sqrt(45)*-2) - ((sqrt(17) - (sqrt(68)\/sqrt(4))**2)*-3 - (sqrt(68) + sqrt(68)*-1 - sqrt(68))\/sqrt(4)).\nAnswer: -51 + 8*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = w + 3. Let q(g) = -143*g + 21. Let h(r) = -71*r + 10. Let d(t) = w*h(t) + 2*q(t). Is d(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**3 + 15*q**2 - 2*q + 34. Let x be r(15). Which is smaller: 5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 33 and 35844.\nAnswer: 35877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -168804631 minus -21917?\nAnswer: -168782714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -191329 and -4705?\nAnswer: 186624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 123192 and 5916?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1208*l**6 - 30*l**2 - 13?\nAnswer: -144960*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4.1712 - 0.0812. Let w = m + 0.91. Which is the fourth biggest value?  (a) 4  (b) -17  (c) w  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5343 and 1.\nAnswer: 5343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2326 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: Simplify (sqrt(320) + sqrt(320) + 0)**2 + sqrt(20)*-2 + -1*sqrt(5) + -1 + 0 + -4.\nAnswer: -5*sqrt(5) + 1275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a + 5*c = -55, -c = -172*a + 177*a - 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 + (-5 - (-18 + -2 + 13 + -2))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2.985565 + -0.014435. Let n = 10 - 10.1. What is the closest to t in -4, n, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 7804162 or 179495702\/23?\nAnswer: 7804162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -14*p**2. What is z(-1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 - (6 - (9 + (-8 - -32)))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -36427 (base 10) to base 9.\nAnswer: -54864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/7 or 212\/1659?\nAnswer: 212\/1659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Are -1170983 and 1\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -133171, -130194, -127241, -124318, -121431, -118586, -115789, -113046?\nAnswer: -110363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -713*i + 4284. Let j(o) = -13*o - 1. Calculate the least common multiple of c(6) and j(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 591 divided by -3.\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -266*m + 2046 + 2394 - 982 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 8424435, 8424433, 8424429, 8424423, 8424415, 8424405, 8424393?\n\"Answer: -x**2 + x + 8424435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3\/11  (b) -0.28  (c) 54131  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(245) + -2*sqrt(245))\/sqrt(7))\/(6*(sqrt(5)*-1 - sqrt(5))).\nAnswer: sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 - 3 = 2*m + 2*w, 3*w = 3*m + 27 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*o + 873 - 544 = 467 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/16)\/((-4)\/72)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 3, u: 4, s: 5, z: 1}. Give prob of picking 1 z and 1 w.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -16 - 3062*d + 116 + 93. Is s(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3\/7, 254, 51, 0.5?\nAnswer: 254","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -9, 61, 19.41?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*m**3 - 136*m**2 - 288*m.\nAnswer: 4*m*(m - 36)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*s**3 + 7821 - 17494*s - 15650 + 7829 to l*s + q*s**2 + c + g*s**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 21915 and 5355?\nAnswer: 2607885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 3*a - 4. Let h(o) = -7*o - 1. Let q be h(a). Is 2 a factor of q\/6*(-9)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (p + p + 0*p)*(7230*p**3 + 11037*p**3 + 2507*p**3) to the form z*p**4 + n + t*p**3 + k*p**2 + b*p and give z.\nAnswer: 41548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2854381553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -59*p - 18. What are the prime factors of y(-4)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1217*q + 1625*q - 1390*q.\nAnswer: 1452*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 6650 a multiple of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5 - -8. Let i(y) = 12*y + 12 - y**3 + 0*y + w*y + 12*y**2. Calculate the remainder when i(13) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -5762906, -5762907, -5762908, -5762909, -5762910?\n\"Answer: -i - 5762905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 683802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8329\/8 - -7283\/7. What is the common denominator of 85\/1197 and z?\nAnswer: 9576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t + 12 = -13*t + 2*c, -2*t - 5*c = -9*t + 42 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1020)\/(-3)*(14 - (-396)\/(-30)). What is the highest common factor of x and 192?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 6, 4, 2 in increasing order.\nAnswer: 0, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 61 = 17. What is the greatest common factor of w and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve s + t = 2 + 3, 5*t - 9 = -s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z + 14696 = 14596 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*f + 24*f + 23*f + 9*f + 19*f - 35*f - 15*f.\nAnswer: 35*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 85660335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 78 and 430222.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-2\/13)*o**(-2\/11))\/(o**(-1\/2)*o*o**(1\/2)))\/(((o*(o*o**(-2\/11))\/o*o)\/((o\/(o**4*o*o*o*o))\/o))\/(o**(5\/6)*o\/o**(1\/5))) assuming o is positive.\nAnswer: o**(-3713\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = d - 431, b + 186 = 5*d - 249. Calculate the remainder when b\/(-15) + (-3)\/(-9) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2310 + -2301. What is the smallest value in o, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (20160\/12)\/(4\/32).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -25, -39, -71, -127, -213?\n\"Answer: -g**3 - 3*g**2 + 2*g - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 977, 1875, 2789, 3725, 4689, 5687, 6725, 7809?\n\"Answer: l**3 + 2*l**2 + 885*l + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 = 5*v + 3*l - 75, -10*v - 33*l - 5*l = 12*l - 1680 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 23996992667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-150)\/12 + 3 + 113\/(-226) + -65?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -38.08002 rounded to one dp?\nAnswer: -38.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d - 5*d. Suppose d = n + 3 + 2, -2*u - 2*n + 68 = 0. Suppose -g = -4*l + 42, u = 3*l + 4*g - g. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 657*z**2 - 311*z**2 + 0*z + 6*z - 347*z**2 - 6*z.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1078149408 by 2.\nAnswer: 539074704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that 5*r**2 - 3600*r + 648000 = 0.\nAnswer: 360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14283*s - 14208*s = 4125 for s.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 less than -2606745.447?\nAnswer: -2606786.447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 5  (b) 2537355  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*g + 6*g + 4*g)*(-1 + 1 - 3*g**4).\nAnswer: -18*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fifty-one fifths of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -279, -579, -889, -1215, -1563, -1939, -2349?\nAnswer: -2799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/6*-1*(-2)\/(-5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(28\/3)*o)**(-3\/14)\/(o**(13\/2)*o*o*o**(-26)\/o) assuming o is positive.\nAnswer: o**(114\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 c and 1 g when four letters picked without replacement from cgogcggc.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = 2*s + 4*l, -3*s = 5*l + 7 + 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9 + -16 + -3 - -8) + 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 263434 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes after 7:54 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10499?\nAnswer: 10499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61*y + 4685 - 785 = 27*y - 10*y for y.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Is 1336848353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2215 or -610?\nAnswer: -610","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 i when two letters picked without replacement from {w: 1, h: 1, x: 2, e: 1, i: 2, m: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 207 and 276.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = -1 + 7. Suppose 0 = s - 5*s + 8. Suppose -y + o = s*y. What is y rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000453794 to 6 dps.\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4985913 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -19a0a6 (base 12) to base 11.\nAnswer: -28a273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 106647 is divided by 15148?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 9, 0, -3, 1728 in ascending order.\nAnswer: -3, 0, 4, 9, 1728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ooooofoffvoff?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -190*x**2 + 3*x + 4. Let v(j) = -3*j**2 - j - 1. Let i(a) = -3*k(a) - 12*v(a). Suppose i(u) = 0. What is u?\nAnswer: -1\/202, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of (-9)\/(-36) + (-207)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*n + 459816 - 1647596. Round n to the nearest 1000.\nAnswer: 108000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -177*a + 91*a - 2*a**2 + 89*a to the form r*a**2 + v + o*a and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - ((0 - (-66)\/(-9)) + -1)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 2 w when three letters picked without replacement from {c: 1, w: 2, m: 1, j: 1, h: 1, f: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1, 197, -3 in descending order.\nAnswer: 197, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vt when two letters picked without replacement from {u: 1, a: 1, x: 6, q: 1, v: 5, t: 2}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 28 = -4*z, z - 1 = -x - 0. Sort 0, x, -3, -1.\nAnswer: -3, -1, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 12, d: 3}. Give prob of picking 1 n and 1 d.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 27101498*m - 27777245?\nAnswer: 27101498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 167*t + 304*t - 182*t - 16614 = -350*t for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -35*z**4 - 2*z - 25 wrt z.\nAnswer: -420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.3 - 0.7. Let t = -4 - -4.5. Let n = 214\/169 - 240\/169. What is the second smallest value in x, t, n, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 777666457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 5*b - 32 = -2*s, 2*b = -3*s + 4. What is the second derivative of -30*v - 14*v**2 + s*v**2 + 21*v + 20*v wrt v?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -63*y + 190*y + 15 - 54*y - 64*y. Let g(f) = -1. What is -15*g(h) - u(h)?\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 5870*x + 528189. Calculate g(-90).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -3*w + 5*w. Let x be (-3)\/1*(-4450)\/15. Suppose -4*l + 4*p - 3500 = w, -x = -0*l + l + 2*p. What is l rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 33 - 30.4. Let k = y + -3. Let h = -0.37 - 2.63. What is the smallest value in -0.2, h, k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 145*c - 19. Suppose -d + b = -4 - 8, -2*d + 18 = b. Suppose -o + 2*r + 10 = -3*r, -3*o - 5*r = -d. Is y(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -16046 - -577585\/36. Let f = 10439 + -250415\/24. What is the common denominator of r and f?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 * -0.061.\nAnswer: -0.0244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 160.9503ng to tonnes.\nAnswer: 0.0000000000001609503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the third derivative of j**4\/12 + 8*j**2. Let d(l) = -l**2 + 4*l + 4. Let r(c) = -c**2 + c + 1. Let m(i) = -d(i) + 4*r(i). Calculate k(m(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 96*14\/12*-2. Suppose -46*o - 8476 = 9035 - 7207. Is u <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16 and 109208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the first derivative of 2*z**3\/3 + 2*z**2 - z + 473. Give p(-5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-45))\/((-8)\/48)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -52.00593772 - -0.1\nAnswer: -51.90593772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4148116*j**3 + 5119481*j**2.\nAnswer: 24888696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -111 + 113. Which is greater: h or 0.08?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -422514100 - 1?\nAnswer: -422514101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 38714.891 - 38704. What is c rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes after 10:43 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1123 - -6629\/6. Let v = 49281037\/16 - 3067772. Let b = v - 12288. Find the common denominator of b and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 612 + -618. Let o(f) = 43*f**2 + 70*f + 12. Is 12 a factor of o(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 7*u**3 + 270*u**2 - 116*u + 36. Give v(-39).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -329*z**2 - 678*z - 679*z + 2039*z + 530 - 683*z wrt z.\nAnswer: -658","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -93 + -280?\nAnswer: -373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 109\/((-3924)\/756) - (16 + -2).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 539 divide 43433159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the second derivative of a**3\/6 - a**2 + a. Let f = -74 + 72. Give n(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 537156?\nAnswer: 2, 3, 43, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 4 - (10 + -7) - 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(260) + -1*sqrt(260))\/sqrt(10) - -6*sqrt(26)*-2)\/(sqrt(4)\/sqrt(2)*3 - sqrt(6)\/sqrt(3)*-5).\nAnswer: -3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/9  (b) 0.5  (c) -1  (d) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (94 - 6*x - 96 + 22*x + (-1 - 3 + 5)*(4 - 3*x - 4))*(3*x - 2 - 2 + 3) to g*x**2 + h*x + o and give h.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0293 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**3 - 3*z**2 + 33*z + 13. What is m(-7)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = 3*x - 26, 45 = -3*i + 3*x - 63. Let v = i + 74. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (7 - 4)\/((-9)\/(-807)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ccuucccccccucucu. Give prob of picking 1 c and 3 u.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (-12 - (-5 - 12)) - 2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 449 + 761 = -110*u for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 72340 - -10*(-110)\/44?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14625 <= 11387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 24780 (base 15) in base 6?\nAnswer: 2255033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -148 and -0.3.\nAnswer: 44.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vp when two letters picked without replacement from dvvxvfivpfvfivf?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 67659, 135318, 202977, 270636, 338295?\n\"Answer: 67659*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.253 less than 0.05?\nAnswer: -0.203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3937927 or -3937935?\nAnswer: -3937927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1683 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 36.39579 millennia in decades?\nAnswer: 3639.579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**4\/3 - 193882*x**3\/3 + 193878*x**2 - 581630*x\/3 + 193876\/3.\nAnswer: 2*(x - 96938)*(x - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -16 + 20. Is ((-526)\/f)\/(9\/(-18)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*i - 5*i - 2*i + 4*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-2)\/1)\/2 - -15. Let l(u) = 12*u - 13*u + j*u - 2*u. Let q(y) = 2*y. Calculate l(q(g)).\nAnswer: 22*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 6 + 6*f - 2 + 2*f**2 - 2*f + 2*f**2. Let p(b) = -4*b**2 - 5*b - 5. Determine 4*p(j) + 5*t(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (7\/3)\/7 - (-1)\/(-3). Suppose 6 = -l - 2*x, 14 = l - k*l - 2*x. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 233*o**3*z**2 + 91*o**3*z + 2*o**3 - 493*o**2*z**2 - 2*o**2*z - 19*z**2 wrt o?\nAnswer: 1398*z**2 + 546*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-43 - -25)\/144 + 147\/24. Solve -55*h + q = -2*y - 58*h, -2 = -3*y + h for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 15\/18*18\/20. Suppose -1\/4*h**2 + 0*h - 3\/4*h**3 - 1\/4*h**5 - x*h**4 + 0 = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of u**3 - 13373*u**2 + 30*u - 6977285 wrt u?\nAnswer: 3*u**2 - 26746*u + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -40*d - 1159552 + 1159832 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 11*w**2 + w + 2. Does 12 divide u(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-64)\/(-256)*(-4)\/9.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (t**2 - t**3 - t**2)*(0 + 2*t + 0) + (11*t - 12*t - 13*t)*(-t**3 - t**3 + 3*t**3).\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/6 - 10675\/(-11550) - 18\/99*-214.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-144)\/(-18))\/8)\/1*-31?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1020 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: What is 297209 to the power of 1\/2, to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of ((-26)\/39)\/((-2)\/6) and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/3, 0.19, -3\/22 in descending order.\nAnswer: 2\/3, 0.19, -3\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -2313 (base 4) to base 5\nAnswer: -1213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -7*t - 18. Let k(i) = 3*i + 8. Let l(x) = 9*k(x) + 4*s(x). Let n(d) = 123*d**2 - 2*d. Give l(n(m)).\nAnswer: -123*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -34 - 6408\/(-108) - 25. Solve 7\/3*z**3 + 0 - d*z**4 + 0*z - 2*z**2 = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qhiq when four letters picked without replacement from {s: 1, i: 4, q: 3, h: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -10*f**2 - 659*f + 62. Calculate s(-66).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**3 - w**2 - 7*w + 6. Let a be o(3). Suppose a*r = 2*z + 223, -4*r - 3*z + 0*z + 269 = 0. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -81*c + 76*c - 2*i - 32, -c = -14*i - 8 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -7582300 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6 - -13. Suppose -l + d = -4. Suppose -15 = 6*n - l*n. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 122 (base 6) in base 12?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -14861 - -21849. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1332313212 (base 4) in base 6?\nAnswer: 15045450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(2\/97)*u**(-3\/16))\/(u**(-4))**(-47) assuming u is positive.\nAnswer: u**(-292035\/1552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-7190)\/(-48))\/(2\/40). Let i = t + -3005. Find the common denominator of i and -5\/13.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -4, -17, 5.\nAnswer: -17, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -7*k - 4. Let y(l) = 3*l + 2. Let h(d) = 2*i(d) + 5*y(d). Suppose 0 = 3*z - 3*g - 30, 5 = 2*z + 2*g + 1. What is the units digit of h(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 121 + 95 + 119*q + 103 with respect to q.\nAnswer: 119","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, k: 1, q: 1, n: 1, e: 1, c: 1}. What is prob of picking 1 y and 1 e?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.5065 take away -117112700?\nAnswer: 117112697.4935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.6943551 to 1 dp.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 63, 100, 137, 174?\n\"Answer: 37*u + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*r + 3*r - r - 4*r.\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.4, -0.1, 1837, -1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = 8, j + 0*j + 3*w = 4499. Let c = j + -1740. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2*f - 2)*(-3*f + 2*f + 0*f) + 5*f**2 - 2*f**2 + 10*f**2 + 2*f**2 - 224 + 224.\nAnswer: 17*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 126*f = 139*f - 13 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 35*f + 58*f - 6*f**2 + 5*f**3 - 24*f to the form m + b*f**2 + z*f + k*f**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 65*a + 716. Suppose 5*k - 31 = -3*m, -k - 3 = 4*m - 8*m. What is the remainder when m is divided by z(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 247acd + -5b?\nAnswer: 247a72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -0.01*-0.0693\nAnswer: 0.000693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 14888 at most as big as 121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 29 = -17. What is the greatest common divisor of 115 and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.26, -102, -5, 4.\nAnswer: -102, -5, 0.26, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -72*y**2 + 21*y**2 + 27*y**2 + 22*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -19*j + 16*j + 2*j. Let k(x) = 41*x - 111*x + 48*x - 1. Let l(n) = 4*i(n) - k(n). Calculate l(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -10*i**2 - 2 - i**3 + 0*i**3 + 10*i - 5 + 6. Calculate s(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -172 + -1?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 94*h**4 + 2*h**3 - 2*h**2 - 29. Let x(d) = d**4 + d**3 - d**2. Let s(g) = p(g) - 2*x(g). What is the derivative of s(n) wrt n?\nAnswer: 368*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 963642 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 a factor of 7154280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = z - 0. Let m(q) = q + 4. Let l be m(10). Suppose -x - 6 = 2*v, -3*x + 3*v + l = v. Solve 3*n + x*n + 4*y + 11 = 0, n + z*y = -11 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -53?  (a) 59  (b) 0.1  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 33 = -b, 7*m - 4*m + 126 = 3*b. Let j = -12 + b. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xvvvktktklkxkkkkxvt. Give prob of sequence tvv.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -54527444 - 2?\nAnswer: -54527446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44707*w = 45071*w - 4414 - 1774 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 709474398 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 5660, 5620, 5580, 5540?\n\"Answer: -40*i + 5700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than or equal to -1118\/211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45825 is divided by 45786?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t - 1525 = -4*p - 1642, p = -4*t - 53 for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 + -4. Let a be ((-22)\/q)\/((-1)\/(-3)). Let k be a\/15 + 1\/(-3). Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*h**2\/4 + 12861*h\/4 - 25145505\/2.\nAnswer: 3*(h - 2478)*(h + 6765)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that 3*b**4\/2 - 18*b**2 - 24*b = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -6\/7  (b) 4487  (c) 1\/5  (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = 3*u - 34542, 14*u - 16*u + 23028 = -5*c. Let p = 35255 - u. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -43*h**2. Let f(o) = -13*o + 9. Suppose -8 = -4*d, 7*i - 2*d + 228 = 11*i. Let b(s) = 245*s - 168. Let w(y) = i*f(y) + 3*b(y). Determine n(w(r)).\nAnswer: -2107*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4732100 divided by 946420.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -3*q - 4. Let v be -6 + (1 - (-1 + 2)). Does 7 divide m(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1782?  (a) -3  (b) 0.4  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 59796 and 38958?\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(5 + sqrt(72) + 1 + sqrt(72) + sqrt(72) + -2 + -4)*5.\nAnswer: -180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -747035*f*t**3 - 369*f*t**2 + f*t + 54*t + 1126783 wrt t.\nAnswer: -4482210*f*t - 738*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.5, -0.1, -3, 7511?\nAnswer: 7511","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*o + 3*o + 3*o)*(8 + 15 + 7*o**2 - 24) in the form h*o + f*o**2 + i*o**3 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-7)\/1085)\/(((-87)\/(-30))\/(-29)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -852, -1693, -2534, -3375, -4216?\n\"Answer: -841*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37781.\nAnswer: 37781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 5  (b) 2  (c) 103.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**3 - 66*c**2 - 267*c + 266. List the prime factors of t(-63).\nAnswer: 2, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5 and -0.07936?\nAnswer: -0.3968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 244411 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -1190*j + 2362. Give h(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 4*n + 0*n = 2529, -3*t + 2538 = -n. Suppose t = 6*s - 1145. Does 34 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1075 divided by 238.\nAnswer: 1075\/238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1009 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1347260 + 1347249 - 2694466 - 10*x**3.\nAnswer: -10*x**3 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 130.737 to 0 dps.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1515895*o - 2024199*o - 323861*o + 988038*o.\nAnswer: -2875917*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-186)\/(-19530)*265\/(-2) and -103\/444.\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 46 - 10. Suppose 8*u + 16 = 80. What is the greatest common factor of f and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -25 - 101. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 207*q. Let f(o) = 15*o**2 + 5*o + 10. Let y(u) = -2*u**2 - u - 2. Let l(k) = -f(k) - 5*y(k). What is z(l(n))?\nAnswer: -1035*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 2*a**2)*(1774 + 2093 - 3019).\nAnswer: -1696*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 149 + -9. Let r = 168 - h. Calculate the smallest common multiple of 22 and r.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3\/38 - -68\/19. Let y(m) be the second derivative of -m + 1\/6*m**3 + 0 - 5\/12*m**4 - 1\/20*m**5 + r*m**2. Determine y(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -15\/4, 0.05, 0.4, 3?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 462317 or 4623163\/10?\nAnswer: 4623163\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.003523381 rounded to 5 dps?\nAnswer: -0.00352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -15*w + 20*w + h - 12, 0 = 5*h + 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -11240 + 59735. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 157*g + 8 - 2 - 1.\nAnswer: 157*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is h in 2*h**5 - 10*h**4 + 12*h**3 + 8*h**2 - 16*h = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 93475154747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w + 23 = -5*z, 2*z + 0*z = -10 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -61 (base 11) to base 8.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 316750311 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20071 is divided by 195?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - (1 + 3 + -4 - (-5 + -12 + -51)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-84555)\/84 + (-3)\/21. Let z = -1000 - m. What is the common denominator of z and -10\/19?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2 + ((-48)\/4)\/(-2) + 1. Suppose -99 = -h*c + 31. Let v = c + -26. Solve v*k - k = 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*o**3 + 14*o**3 + 5*o**3.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aaaanaqqaqqaqaanaaa. What is prob of picking 2 n, 1 a, and 1 q?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 14 and 840.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hxyxyxiiixxyyxyi. What is prob of sequence yhx?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**4 - q**3 - q**2 + q + 1. Let z(m) = -5*m**4 - m**3 - 6*m**2 + 4*m + 4. Let r(k) = 4*s(k) - z(k). Determine c so that r(c) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.034 < 172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4160715 and 209.\nAnswer: 45767865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f + 11. Let o be c(8). Determine a, given that -o*a**2 + 5*a**3 + 3 + a**3 - 21*a + 15*a = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.5 in -3\/29, -4, -1, 93?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 c, and 2 a when four letters picked without replacement from {a: 4, s: 4, c: 3, n: 4, h: 1}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3799081575.\nAnswer: 3, 5, 397, 14177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-three thirds of a year in months?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 30 = -6*v. Let f(s) = -s**3 + 5*s**2 + 11*s + 7. Is f(v) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4.1  (b) 5\/3  (c) -0.7382\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -10, 0.002, -5, -743, 5\/2, -0.2?\nAnswer: -743","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from buukbgogtkbbuubbb?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 64393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 233.6 - 233.4. Let l(q) = 9*q + 7. Let f be l(-3). Let r be f\/(-15) + (-71)\/51. Which is greater: r or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = z - y - 8, -3*y - 1 = 4*z. Suppose -z*g - 152 = -944. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -27 - -26.66. What is h rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*u**5 + 3*u**5 + 5*u**5 + (-6*u**2 - 39 + 2*u + 14 + 23)*(25*u - 25*u + u**3).\nAnswer: -u**5 + 2*u**4 - 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 589398795.\nAnswer: 3, 5, 863, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 69004221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*z + 4*n + 56, 5*z = 3*n - 5*n + 56. Suppose z = -11*k + 133. Suppose k = -a + 21. Calculate the greatest common divisor of 70 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 70 is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 + 31\/6. What is the third biggest value in -1\/5, b, 0.04?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q\/((q*((q\/(q*q*q**(-8)))\/q)\/q)\/q)))**(1\/19))**(1\/4) assuming q is positive.\nAnswer: q**(5\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/(-30)*-6)\/((161\/(-294))\/23)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3213\/28 + -4 + (-68)\/(-16). Calculate the highest common divisor of 69 and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/2, -0.017, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2918 + 4105. Let y = 1420.6 - o. Round y to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.9, -0.75, 1\/4, -27, -2, 3 in decreasing order.\nAnswer: 3, 0.9, 1\/4, -0.75, -2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -150595*a*b + 10*a*c**2 + 681*b*c + 2*b + 2*c**2 + 2*c - 131 wrt a.\nAnswer: -150595*b + 10*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the second derivative of -t**4\/12 + 11*t**3\/6 + 17*t**2\/2 - 2*t. Suppose 0 = -99*c - 214 + 695 + 608. Give r(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-14))\/(((-6)\/9)\/((-16)\/6)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, -0.048, -0.24?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-18)\/(-84)*49*56\/6 + 3. Solve m*l + 68 = 118*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 216 + -132. Let s = b - 84.4. Let a = -0.736 - -0.7. What is the third biggest value in -0.1, s, a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -3555*x**3 - x**2 - x - 1. What is the hundreds digit of l(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 187 + -189. Let p be 1 + (-104)\/2 - 8\/a. Is -46 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-1)\/6)\/(-4 - -3 - -2). Let y = 67\/2 + -33. What is the closest to 3 in y, w, -15?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42205990 to the power of 1\/3, to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 7*v**2. Let g(i) be the second derivative of -i**3\/3 + 8*i. What is g(j(c))?\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(76)*1 + 0 + -2.\nAnswer: -2 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 3*j**2 - j - 1. Let v be a(-1). Let u = 2 + v. Let r(y) = u*y + 0*y - 4*y. Give r(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 27*n + 29. Let o be m(-1). Let v(b) = b**2 + 2*b - 2. Let a be v(-3). Solve -z + a = o*r - r, -4*z + 5*r - 5 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (60 + (-111 - -53))\/(2\/10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**3 - 8*f**2 - 3*f - 2. Let o be d(-3). Let j = o + 41. Is 3 a factor of (16 + -15)\/(1\/j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that 4*w**3\/3 + 960*w**2 + 230400*w + 18432000 = 0.\nAnswer: -240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - (-10)\/(-3))*-2 + 182\/(-21).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 7434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 2*u**2 + 25*u + 131. Let c be f(-13). Calculate the greatest common divisor of c and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i + 2. Let c(x) = 2*x - 1. Let u(j) = -4*c(j) - 3*r(j). Let p be (-92)\/22 - (-2)\/11. Is 9 a factor of u(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*q - 40 = 7*q. Suppose -3*f - 3*b = -408, 0 = -2*b - 2 + q. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -7*s + 156. Let l be p(19). Solve b - 7 = 2*u, b = 4*u - 6 + l for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/(-32))\/(3*7\/(-7))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o - 8, o = 2*b + 4*o - 6. Suppose 10*d - 40 = 15*d. Let k = d - -10. Solve k*v + 3*v + 10 = b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the second derivative of -p**5\/20 - p**4\/3 + 3*p**2\/2 - p. Let i(v) = -v**2 - 7*v + 40. Let z be i(-11). Determine o(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1.2  (b) 3  (c) 4\/55  (d) -1  (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 80895787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 114754 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 s = 167 + -116. Let l(b) = -5*b**3 - 23*b**2 - 14*b + 33. Let q be l(-5). What is the highest common divisor of s and q?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(60)\/((-3*sqrt(36))\/sqrt(12) - sqrt(3)) + 5)*5*4)**2.\nAnswer: -2000*sqrt(5) + 10500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -20*c**3 + 142*c**2 - 8*c. What is z(7)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-nine fifths of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 7, x: 1, d: 3, c: 2, h: 5}. Give prob of picking 2 c and 1 d.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 82942.272 microseconds in weeks?\nAnswer: 0.00000013714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 942 + -564. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -112 + 6 + 3*h - 4*h to the form i + x*h and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 660*n. Let v(l) be the second derivative of -2*l**3\/3 - l - 631. Determine x(v(g)).\nAnswer: -2640*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((12\/10)\/(-6))\/1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (473 + -473)\/(-4 + 1). Solve -17*x - 38 + 140 = o for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + (-4 - 5) + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 != 5\/8809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4436733472?\nAnswer: 2, 19, 617, 11827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1030, -1030, -1042, -1066, -1102, -1150?\nAnswer: -1210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 35 * -16046920\nAnswer: -561642200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -9*1\/(-4) + 0. Let y = v - 11\/4. Put 0.1, -0.2, y in increasing order.\nAnswer: y, -0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/11, -1\/3, 0, 3\/5, -1, -2825.\nAnswer: -2825, -1, -1\/3, -2\/11, 0, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16010 is divided by 849?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 9*v - 1 + 28*v - 49*v + v.\nAnswer: -29*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6 - -6. Suppose t = -a - 3*a + 112. Suppose 4*y = 128 + a. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 168 and 210?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 884492 is divided by 147415.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 5*r + 26 = 9, -3*r = 15. Let -3*h - 17*h**g + 4 + h**2 + 14*h**4 - 2 + 3*h**3 = 0. What is h?\nAnswer: -1, -1\/2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -20*z**2 + 2*z - 1. Give h(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -191.5 + 195.5. What is the nearest to 559 in -2\/17, 2\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -550 divided by -491?\nAnswer: 550\/491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yzvyyvyv. Give prob of picking 1 v, 1 z, and 2 y.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -43*p. Let h(w) = -689932*w. Calculate g(h(c)).\nAnswer: 29667076*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -52 divided by 1.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12385?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 2608, 2607, 2606, 2605?\n\"Answer: -w + 2609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 1 = 5. Let i = -0.11 - 3.89. Let d = 3 + i. Which is the third biggest value?  (a) 0.2  (b) d  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a**2 - 44104*a + 88204. What is n(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1828 a factor of 1732788620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 632056*y**4 - 151031 wrt y.\nAnswer: 2528224*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/5 - (-294)\/10. Let r(a) = -5*a + 71. Let g be r(-9). What is the greatest common factor of g and b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**2 + 28*n\/3 + 16\/3.\nAnswer: 2*(n + 4)*(3*n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/25*(-24)\/(-12).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 36085?  (a) 0  (b) 0.07  (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v - 1 + 5*v - 2*v)*(11*v**2 - 24*v + 17*v + 5*v).\nAnswer: 22*v**3 - 15*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10*(369\/164)\/((-30)\/16).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 28698*c**4 - 17*c**2 + 20*c - 1 wrt c.\nAnswer: 688752*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 82080 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -42, -52, -60, -66?\n\"Answer: w**2 - 13*w - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*h**2 - 926*h + 924*h + 4*h**2 - 15*h**3 + h**3 - 3*h**3 - 2*h**3 + (1 + 0 - 2)*(2*h**2 - 2*h**2 - 2*h**3).\nAnswer: -17*h**3 + 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*u + 2*u + u)*(-2 - 4*u + 4*u + 3*u) + (-u + 3*u + 0*u)*(0 + 0 + 2*u).\nAnswer: -2*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 15*u - 8. Let j(w) = -w + 1. Let c(p) = -j(p) + m(p). Let f be c(8). Calculate the greatest common factor of f and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve v**3 - 20113*v**2 + 91097611*v + 103314382557 = 0 for v.\nAnswer: -933, 10523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 14 + -10. Suppose 3*d - l*d - g + 3 = 0, -g = 2*d - 7. Suppose -2*c = -d - 86. Calculate the greatest common divisor of c and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 154 + 2012.1.\nAnswer: 2166.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5333381227.\nAnswer: 109, 1759, 27817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 202442388 to the power of 1\/2, to the nearest integer?\nAnswer: 14228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from ebbehhbeebb.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x - 20 = -12*x - x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c - 2. Let f be d(5). Suppose f*t = -t. Suppose -w + t*w = -16. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 26\/(-715)*11 + (-1049)\/(-1260) and -23\/567?\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-7)\/616*-16)\/((-6)\/(-11)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 p when two letters picked without replacement from {l: 3, e: 2, m: 5, p: 1, q: 7}?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -70\/41286999 and -16\/91.\nAnswer: 289008993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11.12 - 11. Let k = i - 0.42. Let z = 0 + 2. Which is smaller: k or z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23925560 to the power of 1\/2, to the nearest integer?\nAnswer: 4891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -46*y**5 - 209600*y**4 - 4*y**2 + 16*y + 255446?\nAnswer: -2760*y**2 - 5030400*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*i**3 + 486*i**2 - 486*i**2 + 0 + 0.\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) 0.1  (b) -0.2  (c) -4  (d) 27  (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uw when two letters picked without replacement from {w: 6, j: 9, u: 4}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*r = 5*r. Suppose r*m + m = f + 3, 3*m - 9 = 0. Let o(j) = j**3 + j**2 - 16. Determine o(f).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 93 - 66. Suppose 5*c + h + 8 = -5*x, 4*x + 10 = 2*c. What is the nearest to -2 in c, -4, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/23 >= 2256653?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*2*sqrt(90))\/sqrt(3))\/(-4*sqrt(12)\/sqrt(2)*-4).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 27 (base 15) to base 7\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 3, c: 2, t: 7, f: 1, r: 4}. What is prob of sequence drc?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 45\/105 + 1800\/(-84)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11 - 6. Let x be (-2)\/y + 46\/(-10). Let p = 1382919\/23 - 60127. Which is the closest to 2\/5?  (a) -4  (b) p  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0 from 27767.9.\nAnswer: 27767.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mrhr when four letters picked without replacement from rtrmtrtmtttthrrthtth.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*g + 26*g = 42468. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -14  (b) 1  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y - y - 2*y + 0*y. Calculate o(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-320)\/(-198) + 840\/(-540). Let t be 2*-1*-1 - 2. Is t bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 118734457 to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -269, -576, -931, -1334?\n\"Answer: -24*f**2 - 235*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**3 - k - 1. Let v(r) = 6*r**3 - 7*r**2 - 7. Let f(o) = v(o) - 5*y(o). Determine f(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 99570661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 3 + 3)*(-c + 10 + 5 + 2*c).\nAnswer: c + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 304\/3*o - 52*o**2 + 0 + 2\/3*o**3.\nAnswer: 2*o*(o - 76)*(o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1656.88 rounded to 0 decimal places?\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 5\/6 - (2 + -1). Suppose -40 = l + 3*l. Let p = l - -10. Which is smaller: p or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 906856 divided by 226714.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:42 PM and 12:51 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7559569 litres to millilitres.\nAnswer: 755.9569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -7147, -14292, -21433, -28570, -35703?\n\"Answer: 2*x**2 - 7151*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (330912\/(-12))\/(-18) + -3 and 6.\nAnswer: 9174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 712, 714, 716, 718?\n\"Answer: 2*x + 710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 13530 + -148835\/11. Let g(v) = v + 2. Let u be g(-3). Which is greater: u or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 1, u: 6, y: 7, g: 2, b: 1}. Give prob of sequence juu.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the second derivative of 5\/6*m**7 + 10*m**2 + 0 - 5\/6*m**6 + 5\/12*m**4 - 13*m + 40\/3*m**3 - 23\/4*m**5. What is d in b(d) = 0?\nAnswer: -1, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 954\/(-27)*(-3)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -2*f**3 - 18*f**2 - 22*f - 42. Let j be l(-8). Suppose j*s - 15*s = -846. List the prime factors of s.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 650584 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14.5769 + -66554.4231. Let j = s - -66567.790145. Let g = -1.21 - j. What is g rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the third derivative of -1727*z**7\/70 + 106*z**5\/3 - 3*z**2 + 3*z + 15. Find the third derivative of m(c) wrt c.\nAnswer: -124344*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 17678 + -13509. Calculate the remainder when o is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 789.05 - -3.55. Round z to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -1763 - 1813 + 3540 - 12*b. What is f(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-70)\/(-245))\/(2\/(-28)). Let l(d) = 7*d + 2. Give l(y).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(-2\/3)\/t)\/t)**(-14))**(1\/3) assuming t is positive.\nAnswer: t**(112\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - 5 - ((-1 - 2) + 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -d + 2*d. Let f = -3 + d. Let i be (1\/f)\/(1\/21). Calculate the highest common factor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-16016)\/(-396)*3\/(-4)*11\/77.\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**3 + 2*q**2 - 2. What is i(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3 - (5 + -8))\/(-4) + 140. Let n = j - -38. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -95*f + 307. Let c be j(3). Solve -2*g - 11 = -4*g + l, -c = g + 5*l for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*m - 2*m + 25929 - 2*m.\nAnswer: m + 25929","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3488 is divided by -2 + 44043\/63 - (-764)\/(-8022)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.8 times -6\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence me when two letters picked without replacement from mmmvveve.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 3*q**3 - 3*q**2 + q - 3. Let a be x(4). Let n be 5\/(5\/(-16)) + -89. Let b = a + n. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4 or -6183?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -74825, -149651, -224477?\nAnswer: -299303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4027 - 4024. Solve -6*r + 4*i + 15 = -7*r, -x*r = -3*i - 30 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 3 + 8)*(-46*x**3 - 27*x**3 + 15*x**3).\nAnswer: -406*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a second in milliseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*o + 759 = -3*o. What are the prime factors of o?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -10*f*m**2*r - 1914*f*r - 635*m**2*r + 6*m**2 wrt f?\nAnswer: -10*m**2*r - 1914*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/(-2)*-4 - -6. Suppose 10 = -3*w + f*j, -4*w - 11 - 1 = -5*j. Solve w*q + x = -8, -3*q - 6*x - 26 = -x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 0 = -2. What is the common denominator of 2\/((-6456)\/584 + 11) and (u\/6)\/((-2)\/62)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 976022 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from esevesmnsnsssn. What is prob of sequence svn?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**(-2\/5)*q*q)**(2\/15))**9)**44 assuming q is positive.\nAnswer: q**(2112\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11 - 5. Let b(n) = -7*n + 13. Determine b(t).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -12?  (a) -14.7  (b) 2\/25  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 2816502 divided by 2\nAnswer: 1408251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 142162 is divided by 2255?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 56, 197, 414, 701, 1052, 1461?\n\"Answer: -m**3 + 44*m**2 + 16*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 9945 = 115*p - 118*p, 4*t - 4*p - 13276 = 0. Calculate the greatest common factor of t and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 344 + -277. Suppose s - 74 = u. What is the common denominator of 89\/12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, -4, 0.5, 1.3, 51, -0.04596, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -5 and -1070115?\nAnswer: 1070110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 14, k: 5, o: 1}.\nAnswer: 1001\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 10*g**3 + 4*g - 3*g**4 + 5*g**4 + 3*g + 299*g**2 - 4*g - 298*g**2 to x*g**2 + v + o*g + q*g**4 + i*g**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 90*m**2 + 147*m**2 + 93*m**2 - 418*m**2 + m.\nAnswer: -88*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 15482*m + 3065454. Give i(-198).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyzyyyyyyyyyy. Give prob of sequence zy.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -14 - (1 + -77 + -27 + -6 + 38)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 172*n*y**5 + n*y**2 - n*y + 80*n wrt y.\nAnswer: 3440*n*y**3 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/2130 and -86\/549375.\nAnswer: 78011250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21*h - 25*h - 28*h + 16*h to the form p + c*h and give c.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k**4\/13 + 263780*k**3\/13 + 2110406*k**2\/13 - 5012144*k\/13 + 202920 = 0.\nAnswer: -10, 1, 131898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2430 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/4 of a meter in millimeters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5126548703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*d - 356*d**2 - 8*d - 5851*d**2 as t*d**2 + o + u*d and give t.\nAnswer: -6207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 101520 by -3760.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -2*x**2 + 11*x - 4. Let q be v(5). Solve -l - 2 = -q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 15*h + 4*h**4 + 52*h**2 - 51*h**2 - 26*h + h**3 wrt h.\nAnswer: 96*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1303133174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8379227 + 8379250.999942. Let x = -24 + l. Round x to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 4884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*x = -20*x + 100. Calculate the greatest common divisor of x and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -31*b + 486. Let p be f(16). Let s(y) = -y**3 - 10*y**2 + 2*y + 7. What is s(p)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**3 + 10*a**2 - 8. What is z(-9)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (106 + 129*r - 106)*(-2 + 2 - r + r + 3*r - 2*r + (-3*r - r + 2*r)*(0 + 2 + 0) + 2*r + r - r) to the form c + q*r + p*r**2 and give p.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 99069 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = -2*q - 20. Let y = q + 32. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 21, 38913, -63, 3 in increasing order.\nAnswer: -63, 3, 21, 38913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 - 1.1. Let o = -0.7 - 2.3. Let z = -2.6 - o. Which is the third biggest value?  (a) p  (b) 0  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 97275030 is divided by 1023.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 811111 to the power of 1\/2, to the nearest integer?\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f + o - 13700 + 4294, -3*o - 9402 = -5*f. Calculate the greatest common divisor of f and 792.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**2. Let t(a) = -229*a - 13876*a**2 + 6933*a**2 + 6944*a**2. Calculate h(t(w)).\nAnswer: -w**4 + 458*w**3 - 52441*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.28634 - -29.30274. Let g = -32.72 + 3.72. Let o = g + l. Round o to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4 - -7. Suppose q - 5*y - 57 = 0, d*q + 2*y - 43 = 2*q. List the prime factors of q.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 44 + -516?\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 38425 divided by -7685\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 710\/300 + (-184)\/69?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:25 AM and 11:06 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the second derivative of -a**5\/50 - 3*a**4\/5 - 27*a**3\/5 - 108*a**2\/5 + a - 5. Solve g(b) = 0 for b.\nAnswer: -12, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 203*t**2 - 63*t**2 - 64*t**2 - 75*t**2 - 818 to k*t + v + f*t**2 and give v.\nAnswer: -818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-4))\/(14\/32*(-12)\/(-84))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 40\/260 - (-63)\/13. Suppose -3*z + 272 = -i*s, 4*s = 3*s + 2. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.3401444ml?\nAnswer: 0.0003401444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = -9, -x - 3*x + 3*t = -33. Calculate the smallest common multiple of 22 and x.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 345 + -32?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (4 + 0 + 6*(-4 + 2*sqrt(98)))*-1)**2.\nAnswer: -3360*sqrt(2) + 14512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -84.3 or -185001?\nAnswer: -185001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f = 3*w + 26, -145*w + 5*f + 38 = -139*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 63.68542nm to micrometers.\nAnswer: 0.06368542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**3\/i**38*((i*i*i\/i**(-4)*i)\/((i\/((((i*i**(-2\/3))\/i)\/i)\/i*i)*i*i)\/i))**49 assuming i is positive.\nAnswer: i**(532\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -0.3, -1200, -1\/3, 2 in increasing order.\nAnswer: -1200, -1\/3, -0.3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 205\/5038069?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -40 (base 8) to base 3\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ccfcfccc. Give prob of sequence ffc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2.93?  (a) -2\/57  (b) 1\/4  (c) -52.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -0.0124, 4 in ascending order.\nAnswer: -1, -0.0124, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -2*q**2 - q + 6. Let s(v) = 4*v**2 + 3*v - 14. Determine -7*o(r) - 3*s(r).\nAnswer: 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00131 to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 222112022220112 + 2?\nAnswer: 222112022220121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 19141160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of -58 and -8486.\nAnswer: 492188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3 - 52015?\nAnswer: -52021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-22)\/(-4) + 2\/(-4). Suppose 0 = j - q*n + 13, -3*n - 1 = -9*j + 4*j. List the prime factors of j\/(-7) - 60\/(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 3467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-4 - 30\/9) + 4)*-480. Suppose 6*l - m = -4*l. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, p: 1, q: 1, j: 1, c: 1}. Give prob of picking 1 t and 1 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -3023 divided by -6\nAnswer: 3023\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*c - 4*c + 0*c + (4*c - c - c)*(-1 + 4 - 2) - 21 + 16 + 10*c + 6 - 4.\nAnswer: 13*c - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -6088941.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = 5*l - 782 - 968, -4*l = d - 1400. Let y = -348 + l. Solve 4*o + 8 = -2*j, 5*o + y + 8 = j for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1046947 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(4\/13))**(-2\/21)*(z\/(z\/z**(5\/2)*z*z))**44 assuming z is positive.\nAnswer: z**(5998\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 833803306 to the power of 1\/2, to the nearest integer?\nAnswer: 28876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x - 3*u + 28, 2*u + 12 + 11 = 5*x. Let t be (-5)\/(-3)*(x - 2). Suppose -5*d + 18 - t = -3*r, 5*r = 3*d + 5. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 248029 is divided by 82663.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the second derivative of -n**3\/2 + 29*n**2 + 1236*n - 2. What is v(23)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3\/4 - (1 + 104\/(-32)). Solve f*z + l = -19, -5*z + 2*l - l = 21 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 (base 13) in base 7?\nAnswer: 1515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-9) - (-6)\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 59, 59, 51, 29, -13, -81?\n\"Answer: -j**3 + 2*j**2 + j + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*u + 29 - 53. Let y(o) = -o**2. Let p(t) = -2*t**2 + t + 4*t**2 + 3*t**2. Calculate u*y(r) - p(r).\nAnswer: -2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4.06 + 0.06. Let v = 8 + w. What is the biggest value in 9, v, -2\/7?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13801695 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -t**3 + t**2 + 3*t - 4. Determine i(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1293447 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-2 + ((sqrt(72) + 0 + sqrt(72))**2 + 2 + sqrt(72) + (-1 + sqrt(72) + -1 + sqrt(72))**2)*4).\nAnswer: -11630 + 840*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -2*v + 4*l, -58*v + 61*v - 4*l = 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-72)\/108 - 251\/(-186). Let h = z - 9398\/5115. What is the common denominator of 111\/50 and h?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/123 + 41958\/2214.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3630655152 + 4?\nAnswer: -3630655145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(60)\/(sqrt(108)\/sqrt(9)).\nAnswer: sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 98\/40 + -2 - (-253)\/(-1012)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 389181937 - 0.61\nAnswer: 389181936.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55 + 51 = s. Let n(x) = -289*x**3 - 22*x - 498. Let v(u) = 97*u**3 + 8*u + 166. Let h(f) = s*n(f) - 11*v(f). What is the derivative of h(a) wrt a?\nAnswer: 267*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the third derivative of 101*y**7\/30 - 57*y**5\/10 + 145*y**2. What is the third derivative of t(o) wrt o?\nAnswer: 16968*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-20262)\/966 - -12 - -9)\/((-150)\/105).\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -202 - -207. Suppose -3*o - 2*v - 7 = 9, 2*o - 2*v = -14. Let l be (5 + 21\/o)*(1 + 49). Calculate the greatest common divisor of m and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 58 + -32. Let h(q) = -2*q. Let n be h(-1). Let v(k) = -13*k**n - 21*k**2 + l*k**2. Let g(x) = x**2. Give v(g(u)).\nAnswer: -8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -851 - -855. What is the greatest common divisor of 44 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -135*z = -128*z - 560. Calculate the highest common divisor of 90 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21329 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*r**2 - r**2 + 0*r**2 + (-10 + 10 - 7*r**2)*(0 + 1 + 1)*(-3 - 1 + 5).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 12) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -39, -90, -223, -480, -903?\nAnswer: -1534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(136) + -2*sqrt(136) + sqrt(136))\/sqrt(8) - -5*-2*sqrt(17).\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -11.16 + 6.37. Let f = -0.21 + o. Let i(d) = d**2 - 3*d - 4. Let l be i(3). Sort f, -2\/5, l.\nAnswer: f, l, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j**2 - 3*j + 4. Let y be b(3). Suppose -y*u + 7*u - 48 = 0. Suppose -4*m = 3*k + 17 - 529, m = -4. Calculate the highest common divisor of u and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -281 + 1251. Suppose -s = -5*w + 425. Suppose -5*f + 5*o + 365 = -f, 2*o = 3*f - w. Calculate the greatest common divisor of 19 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 10504*p**3 - 3*p**2 + 6. Let a(q) = -21009*q**3 + 7*q**2 - 14. Calculate -3*a(u) - 7*o(u).\nAnswer: -10501*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 + -1 + 1 - (-20 + 75 - 32)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 18661 and 47.\nAnswer: 877067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 477 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 146 and 966374.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62*f + 11924 = -148*f - 61*f for f.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 487*a**2 + 444*a.\nAnswer: 974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the third derivative of -g**5\/20 + 4163*g**2. Let d be 2\/1 + -1 + 1. Let n(a) = a**2 - 2*a**2 - a**d. Determine b(n(t)).\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1488*r + 1296*r + 201*r.\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 94\/795 and -31\/360?\nAnswer: 19080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 20.256 times -90\nAnswer: -1823.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 528572 is divided by 284?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = 3*f - r, 30*f + r + 9 = 28*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (40 + (-2 - -2) - (-70 - -62)) + -3?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r + 4*r + 17*b = -r + 91, 2*r - 20 = -3*r - b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/(396\/121))\/(5\/(-15)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (57 - 57 - 78*b)*(5*b**3 - 5*b**3 + b**3) + (0*b - b + 0*b)*(-2*b**3 - 4*b**3 + b**3).\nAnswer: -73*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1878 + 1867. Sort -1, o, 0.\nAnswer: o, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 301 + 1827. Let j = r + -2124. Factor 0 - 1\/2*h + 1\/2*h**3 - 1\/4*h**2 + 1\/4*h**j.\nAnswer: h*(h - 1)*(h + 1)*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0004782 rounded to five dps?\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + (-9 - -10) + -16?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -88980, -88979, -88978, -88977?\n\"Answer: q - 88981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1128)\/188 + (-792)\/(-28) + (-6)\/21.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jejx when four letters picked without replacement from xxexqxqwnxjjeqe.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + t = -6. Suppose -q = t*l - 0*q + 85, -4*l = -3*q + 135. Is (68\/(-10))\/(6\/l) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**2 - 398*o - 3244. Give i(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5321440?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the first derivative of -24 - 1\/2*r**2 - 4*r + 5\/6*r**3 - 1\/12*r**4. Let a(h) be the first derivative of x(h). What is a(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4877650*i**4 - 1637283*i**2 + 1 wrt i?\nAnswer: -117063600*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (((sqrt(126)*1 - sqrt(126))\/sqrt(9))\/sqrt(2) + 3)**2 + 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*b - 4*b + 0*b)*(-3*b**2 + b**2 + 2*b**4 + 4*b**2).\nAnswer: -16*b**5 - 16*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (32\/6)\/((-2)\/(-111)). Let p = -181 + s. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -3*u**2 + 14*u**2 + 0*u**2. Let j(r) = 5*r**2 + 868*r - 444*r - 424*r. Calculate o(j(y)).\nAnswer: 275*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 39, 21, -5, -45, -105?\n\"Answer: -a**3 + 2*a**2 - 17*a + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 5*q = q - 104, -213 = -4*h + 3*q. Suppose 2*p - 8 - h = -3*d, 0 = -d + 4*p + 16. Suppose 0 = 28*k - 25*k - 63. Which is bigger: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = 51 - 1106. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 2096*c - 186534. What is h(89)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the third derivative of -1\/6*f**4 + 0*f + 5*f**2 + 0 + 1\/30*f**5 - 2\/3*f**3. Let c(u) be the first derivative of s(u). Calculate c(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -163 - 79 = -2*i. What is the remainder when i is divided by 2\/(-6) - (14440\/30)\/(-19)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19\/1140*15*(-40)\/(-6).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 11, 18, 27, 38?\n\"Answer: d**2 + 4*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -310 - -312. Which is the nearest to d?  (a) -0.3  (b) 3  (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 1, t: 3, s: 11, f: 2, p: 2}. What is prob of sequence ppat?\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 - -6. Let h be u\/(2\/8*4). Suppose h = -0*b + b - 4. What is the least common multiple of 18 and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*l**2*y - 8058*l**2 - 328752*l*y**3 - l - 70 wrt y.\nAnswer: 2*l**2 - 986256*l*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 27*t - 35*t. Is t less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3671371805 - 3672049206.0334. Let y = g - -677745. Let i = 344 - y. What is i rounded to three decimal places?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 47601575?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3236 + 12877\/4. Let n = 967 + -7835\/8. What is the common denominator of q and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -115, -4, -1 in descending order.\nAnswer: -1, -4, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - h + 32 = 6, 0 = -h + 2. Suppose q + n = -2*t - 0*q, q = -5*t - 14. Does 3 divide 1\/1*(-10)\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.3, -0.1, -1.4.\nAnswer: -1.4, -0.1, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 4862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 24*v**3 + 6*v - 9*v + 42*v**2 - 44*v**2 as q*v + g*v**2 + d + p*v**3 and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k = 2*t + 14, 0*k - 18 = -4*k + 2*t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 16231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8653 and 3604?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 292\/20 + 3\/(-5). Calculate the greatest common factor of 126 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -56236\/7 + 8048. Is h >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1190, -4058, -8820, -15470, -24002, -34410, -46688?\n\"Answer: q**3 - 953*q**2 - 16*q - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 50 + -35. Let u = -87 - -197. Calculate the remainder when 30 is divided by 12\/8*u\/x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**2 + 4*b - 11. Determine h(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/3 or -1\/89032?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**2)**39*(z\/(z**(5\/3)\/z*z))\/(z**(-3\/7)*z) assuming z is positive.\nAnswer: z**(1612\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -189.45 or -29\/15?\nAnswer: -29\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {q: 10, u: 4}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (21\/6)\/(12*9\/864).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 177 - 167. Solve z = 16*b - 11*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = -2 - 0. Let w be (-6)\/(-12) - (-11)\/n. Let p be 15\/(-12)*(w + 1). Solve 2*j - q = 8, -5*j + 10 = -j - p*q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 4*c**2 + 4*c - 2. Let s be f(-2). Suppose -4*m + s = 2. Which is greater: m or 2\/19?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -6*u + 1. Let x(n) = n**3 + 33*n**2 + 32*n - 3. Let s be x(-32). Let j(d) = 5*d. Calculate s*o(g) - 4*j(g).\nAnswer: -2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -9.4768 minus -1?\nAnswer: -8.4768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -115, 17\/3, -3.8, 3.\nAnswer: -115, -3.8, 3, 17\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 2*d. Let z(p) = -15*p**2 + 12*p - 30*p + 2 + 22*p. Let m(j) = 407*j**2 - 110*j - 55. Let f(i) = 2*m(i) + 55*z(i). Give f(n(o)).\nAnswer: -44*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 140 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2022 + 1335. What is j rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (10 - 12)*1*-6. Suppose -10 = 10*u - t*u. Suppose -2*h + u*m + 96 = 0, -3*h - 4*m + 144 = -m. What is the greatest common divisor of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 661729310?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a kilometer in meters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 521665.6 rounded to the nearest 10000?\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 5*m = 16, 3*q - 1 = -2*m + 18. Let g = 37 + -17. Calculate the remainder when g is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the third derivative of -c**5\/60 + 3*c**4\/8 - 5*c**3\/6 - 4*c**2. Determine h(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**3 + 23*z**2 - 5*z - 10. Let s(c) = -3*c**2 + c + 2. Let l(p) = m(p) + 6*s(p). Calculate l(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 372 and 10244964.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - 0 - -2 - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 237498887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*o = 60*o - 80 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 286 (base 11) to base 8\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide (28\/(-56))\/(4\/(-6080))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -q*s*t - 13*q*s + 117*q*t + 5*s - 10*t wrt s.\nAnswer: -q*t - 13*q + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -8191 take away 582?\nAnswer: -8773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put together 5 and 0.0428267.\nAnswer: 5.0428267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16035*k**2 - 16126*k**2 + 48290*k**2 - 16129*k**2 - 10*k**3 + 37*k**3.\nAnswer: 27*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 + 1160?\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -108 - -111. Suppose 5*u = 2*h - 25, y*h - 11 = -h - 3*u. Sort -1\/3, h, 0.3, -0.1 in decreasing order.\nAnswer: h, 0.3, -0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/10 of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 368 = 2*u + u, 2*o + 3*u = -356. Let b = o + 36. What is b rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 65\/6793926 and 58\/27.\nAnswer: 61145334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w**2 + 2*w**2 - 3*w**2)*(-10*w + 10*w + 6*w)*(2 - 2 - 3).\nAnswer: -18*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 4 + 4 - (25 + (0 - 2) + -6)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 31 - 98*s**2 + 32 + 97*s**2 + 18*s. Let n be o(-3). Solve -h + r = 1, 2*h + 3*r = -n*h - 22 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -133 + 133 - 1 - 1535*v.\nAnswer: -1535*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 + 6 - 5)*(-5*d + 4*d + 2*d) - 5*d - 2*d + 5*d.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -335040, -4, 15 in descending order.\nAnswer: 15, -4, -335040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -33070 times -4.1\nAnswer: 135587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.38, 5, 1, 10, -2?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1354968.4 plus -124206?\nAnswer: 1230762.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 67\/4 of a millennium in years?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (90\/(-35))\/((-12)\/(-28)*-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m = -5*a - 10, 41*m = 5*a + 36*m + 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, 2\/3, -0.1, -1, -1\/2, 1\/3, 845?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3396 - 13438 = 886*a for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(162) + 0)**2*-3 + sqrt(162) + (-2*sqrt(98))**2 + 1.\nAnswer: -93 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b - 1. Let d(t) = t**2 + 4*t - 35. Let n(x) = -d(x) + 6*o(x). Let w be n(-4). Solve w*y + 3*q + 12 = -q, -2*y - q = 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -6 - 13 - 2*i + 13 - 5. Let b be p(-7). Suppose 0*r - 12 = -b*r. Solve -r*x = -0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 14501 + -14253. Calculate the highest common factor of 837 and b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3cc1b9 (base 15) to base 4.\nAnswer: -23022132330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r + 13. Let x be k(13). Is (x + (-2)\/(-5))*40 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(136)\/sqrt(4)*5)\/((3*sqrt(12))\/sqrt(6)) - ((5 + sqrt(1088)*-2 + 3)*-4)**2.\nAnswer: -70656 + 12293*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 16*v - 4*v**2 - 16*v - 6 wrt v?\nAnswer: -8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15110 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.010147027 to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(35)\/sqrt(63) + 1 + sqrt(40)\/sqrt(968))**2.\nAnswer: 56*sqrt(5)\/11 + 40184\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 250516 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 1275\/(-350) - (-52)\/364\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 3*g**2 + 4*g + 2. Let x be b(-2). Let q be x\/8 - (-42)\/8. Solve 0 = y - q*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/9?  (a) 0.3  (b) -5  (c) 312\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.3  (b) 852  (c) -0.08  (d) 83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/10 and 67\/11078.\nAnswer: 55390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-318)\/27 - 6\/27. Let k be (y\/(-7))\/(2\/14). Suppose -2*f - 4 = 2*u - k, -7 = -u + 2*f. Solve -u*p - 13 = -3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is c (base 14) in base 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j + 2*j = 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 4 = -v. Let d = 5 + v. Suppose 0*o + 21 = -3*o. Is d < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 6  (b) -2\/5  (c) -3  (d) 0  (e) -0.02877\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 10 = -2*w. Suppose w*y - 22 = -0*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2\/2349 + 204343\/23490. What is the common denominator of b and -59\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:11 AM and 5:38 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -7 + 195\/13 - (10 + -1). Let o(v) = 49*v + 2. Give o(r).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-5 + (sqrt(5) - (1 + sqrt(5)))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1618 and 717583?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1946254511?\nAnswer: 32831, 59281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 67.9 + 3.1. Let f = p - 71.07. What is f rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 173331349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**2 - 10*g + 3. Let z = 399 + -395. Suppose 5*c - z = -2*o, 3*o + 4 = -3*c - 2*c. Give a(o).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence auga when four letters picked without replacement from {a: 5, g: 3, w: 4, u: 4}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 114 divide 35188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 + 1. Suppose -2*c - c = 5*p + 3, -p - c = u. Sort p, 2, 1 in decreasing order.\nAnswer: 2, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -3*l**3 - 3*l**2. Let j be m(-5). Let b = 0 + 5. What is the common denominator of -2 + (-1405)\/j + 3\/b and 3\/44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i + 261674 = 48320. What is the remainder when i is divided by 127?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2373146077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 8030921.4 minutes?\nAnswer: 5577.02875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4956 - -8455. What is the thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 16*d**4*u**2 + 6*d**4*u + 27*d**2*u - 10*u**2 wrt d?\nAnswer: 384*d*u**2 + 144*d*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5\/126 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-3) + (-65)\/(-156).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 69\/2 and -47\/118208.\nAnswer: 118208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((-970)\/194)\/(20265\/42)\nAnswer: -2\/193","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 12*t + 3. Let q be s(3). Let i = 73 - q. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -390.8 + 391. Which is smaller: n or 1\/112?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 352*u + 78442 - 69290 = 0 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3310229?\nAnswer: 13, 23, 11071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 21825745 from -0.0553.\nAnswer: -21825745.0553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 413680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppu when three letters picked without replacement from mwpmptumum?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ye when two letters picked without replacement from egkeeyrynyn.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -32\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.044, 5, -5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -19, 3, 2\/7, 0 in descending order.\nAnswer: 3, 0.5, 2\/7, 0, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes before 9:57 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*2*(-4)\/(-32)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) -0.2  (c) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(1331) + (sqrt(1331) - (sqrt(1331) + 1 + sqrt(1331))))**2 + (-1 + sqrt(11))*-1.\nAnswer: -sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 40a898 (base 12) to base 6\nAnswer: 33421512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 88 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.9?  (a) -3  (b) 0.2158  (c) 6  (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 757663702?\nAnswer: 2, 97, 139, 28097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the second derivative of -s**3 + 3*s**2 + 2263*s. Give p(8).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 - -117668817667459?\nAnswer: 117668817667459.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1106 and 1190.\nAnswer: 94010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 330960212?\nAnswer: 2, 11, 7521823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 4*s - 1. Let c(z) = 7*z - 6. Let h(w) = w - 1. Let j be ((-8)\/10)\/((-6)\/45). Let n(b) = j*h(b) - c(b). Calculate 2*f(x) + 11*n(x).\nAnswer: -3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = 2*x - 29, -5*d + 8 = 2*x - 7*d. Suppose 5*o - x*o = -4. Solve -o*t = 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 3\/25 of a kilometer?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, -16, 3, -17 in descending order.\nAnswer: 3, -2, -3, -16, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**2. Let w(t) be the first derivative of -68*t**3\/3 - 45. Determine y(w(l)).\nAnswer: -4624*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (86 - 27 - -16) + -52?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*j + 2*z - 27023, -45050 = -5*j + 2*z - 3*z. What is the tens digit of 56\/(-26) - -2 - j\/(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -4*v - 15. Give t(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -472292 divided by -71.\nAnswer: 6652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-21)\/(d*d**(3\/29)*d) assuming d is positive.\nAnswer: d**(-670\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 400 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(77)*-3)\/(-5*sqrt(252) + sqrt(252)).\nAnswer: -5*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -3*k + 4*k - 3*k. Let r(w) be the second derivative of w**6\/120 + w**4\/4 + 9*w. Let m(n) be the third derivative of r(n). Calculate m(z(h)).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -108, -3, -2, 52 in increasing order.\nAnswer: -108, -3, -2, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 33 = 51. List the prime factors of h\/(-6)*146 + (-4 - -1).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11 + 13. Suppose 2*c = b*q + 20, 0 = 5*c + q - 2*q - 70. Suppose 2*y = 101 + c. List the prime factors of y.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3069173 = 31*i - 8929413. Is (-2)\/7 - i\/(-140) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 800 and 14.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 9\/6*-1*-2 + 286. Suppose 1823 = 16*m - b. What is the lowest common multiple of m and 77?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n*n**(3\/11)*n\/((n\/(n*n\/(n*n**(-1\/5)\/n*n*n*n)*n))\/n)*(n**(-2\/9))**(-10\/11) assuming n is positive.\nAnswer: n**(1324\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the third derivative of -h**9\/30240 + h**8\/2240 - h**7\/420 + h**6\/180 - h**4\/3 - 26*h**2. Let x(a) be the second derivative of g(a). Factor x(j).\nAnswer: -j*(j - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/32)\/(91\/1092).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-296)\/(-40)*(-21)\/126*30.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.3 - -2.7. What is the third smallest value in -3\/2, 0.4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(192) + -1*sqrt(192))*2)\/((-4*sqrt(12)\/sqrt(2) + sqrt(6) + sqrt(6))*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -150110 - -3?\nAnswer: -150104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(704) + 2 + sqrt(704) + 2 + (sqrt(704)*-2)**2 + 3 + (sqrt(704)*-2*-5)**2)*-6.\nAnswer: -439338 - 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -123.99 + 533.8\nAnswer: 409.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 66162895*g**2*z + 5141*g*z - g - 88*z - 6 wrt g.\nAnswer: 132325790*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5\/12  (b) 1.7  (c) -1  (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*a**2 + 26*a**2 + 179 - a**3 - 3*a**3 + 2*a**3.\nAnswer: -2*a**3 + 37*a**2 + 179","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*x**2 - 167 + 4*x**2 - 11*x**2 - 18 to h*x + g*x**2 + u and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*f = 15*f. Suppose f = -2*m + 29 + 93. List the prime factors of m.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2665, -4, 7, -3, 4 in descending order.\nAnswer: 2665, 7, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 84856392 and 1628?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 220011200122 (base 3) to base 9.\nAnswer: 804618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zmyyftfzzzfzyzzzy. Give prob of sequence ffmz.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i**5 + 640*i**4 + 49886*i**3 - 213192*i**2 - 262440*i = 0. Calculate i.\nAnswer: -162, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-6)\/63 - 1280\/(-4620). Suppose 5*y = -x - 8, -2*x = -6*x - 12. Which is the nearest to y?  (a) k  (b) -5  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 3 = 2*w + 10, -4*k + 4*w = -4. Which is the nearest to -1?  (a) -3  (b) k  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7702452 and 7452?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/6*(-27)\/8. Let s(w) = w**2 + 3*w - 1. Let x be s(-3). Is x > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y**3 + 4*y**2 - 1. Calculate w(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 38\/4 - (-1)\/2. Suppose c + w = 3*c. Suppose -4*r + 47 = 3*z, 3*z + 45 + 7 = c*r. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -16.75 and 33.36140718.\nAnswer: 16.61140718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 419 + 2966*n + 23*n**2 + n**3 + 3*n**4 - 205 - 214 wrt n.\nAnswer: 36*n**2 + 6*n + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**18\/m**(8\/11) assuming m is positive.\nAnswer: m**(190\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9 + -11. What is the second biggest value in f, 1\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -708.00000014 - -708. Round m to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 895 a factor of 61533935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-191*p + 563*p - 221*p)*(20 + 2 + 6 - 4) to the form w*p + c and give w.\nAnswer: 3624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -275*v - 46. Let b be y(-2). Calculate the greatest common divisor of b and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -489*q - 744*q - 397*q. Let t(j) = j. Calculate p(t(b)).\nAnswer: -1630*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3 + 1\/(-3))\/((-2)\/3). Suppose -3*o + 4*o + l*q - 33 = 0, 0 = -4*q + 16. Differentiate -o*r**4 + 7 - 24*r - 20*r + 44*r with respect to r.\nAnswer: -52*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-37 - (-5 + 3)) + -2. Let q = x - -41. Solve 2*a + 18 = q*z, -5*a - 1 + 16 = 5*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 3*g - 83 = 0, -l + 4*g = -0*l - 83. Let v = -31 + l. Calculate the remainder when v is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-13 + 119\/9)*-9. What is the nearest to 0.2 in 5\/6, -4\/3, f?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2294*z = 2331*z - 99456. Calculate the least common multiple of 1024 and z.\nAnswer: 21504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36027*k + 435200 = 41467*k for k.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 9 - 7*u - 4 - 1 - 4. Let w(o) = -183*o**2. Give w(v(h)).\nAnswer: -8967*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2500*x**5\/3 + 16425400*x**4\/3 - 63101984*x**3\/3 + 55328320*x**2\/3 + 10097728*x\/3 + 420736\/3 = 0 for x.\nAnswer: -6574, -2\/25, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1616)\/(-3224) + (-28)\/(-910)*-10?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 119*k = 28*k + 57*k + 3942742. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mq when two letters picked without replacement from jmjyjjybqnjjjb?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -684875 less than 868789?\nAnswer: 1553664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 49576560 and 1060.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (6*(-745)\/(-30))\/(2\/12) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = 2*d + 2*n - 148, 3*d + 3*n = 222. Let g = 135 - d. Is g a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 4 + w)*(69 + 1053*w + 27 - 94) to the form g*w + d*w**2 + a and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 133*i = -221 - 45 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 23947 at least as big as 23967?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/3, 2\/7, 1\/2, 76, 49, -2?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 9 = 3*c, 0 = 5*h + 4*c - 4 - 8. Suppose h*b + 30 = 5*b. Suppose 9*f = b*f + 138. Is f a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 295*g**2 - 4*g - 12 + 4*g + 17 - 10 in the form l*g**2 + a + p*g and give l.\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1249776943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 50343119 divided by 1\nAnswer: 50343119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-l + l + 4*l)*(10*l - 7*l + 8*l)*(-31*l + 17*l + 19*l) as h*l**2 + o*l**3 + m*l + q and give o.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 364*m**4 - 1950 with respect to m.\nAnswer: 1456*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the second derivative of d**8\/28 - 1289*d**6\/10 - 21*d**4\/2 - d**2 + 703*d + 2. Find the third derivative of h(t) wrt t.\nAnswer: 240*t**3 - 92808*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*-7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -817.1 - -16285.\nAnswer: 15467.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g + g + 15. Suppose 0*n - 5*b + 9 = -4*n, -5*n + 3*b = -g. Find the second derivative of n*w - 3*w + 0*w - w**4 wrt w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 109300 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1687222939?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.9 + -1. Let r be (-68)\/1122*-1*3. What is the third smallest value in r, t, -9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 2 s when four letters picked without replacement from {s: 2, a: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**2 + 10*v + 19. Let p be d(10). Let a be p - ((-6)\/(-4))\/(5\/10). What is the tens digit of ((-30)\/8)\/((-3)\/a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -7006, -14053, -21100, -28147, -35194, -42241?\n\"Answer: -7047*s + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3.062 - 0.062. What is the closest to 0.04 in 2\/9, o, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 27 = 3. Let b = j + -14. Suppose 1 + 0 = y. Calculate the lowest common multiple of y and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -2*a**3 - 3*a**2 + 80*a + 50. Give p(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -2*j + 159791. Let c(v) = 35*v + 6. What is c(o(q))?\nAnswer: -70*q + 5592691","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f. Let a(v) = -3*v + 66. Give a(u(d)).\nAnswer: 3*d + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0, -12, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5549843 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 10 = -6*k, -2*f = -3*k - 144. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r + 94*r - 92. Which is the smallest value?  (a) -0.3  (b) 2  (c) 8  (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -996 divided by 4.\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 7.35?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most -112\/87300921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 18 - 10 = 0. Let z be (-12)\/42 + (-2)\/f. Suppose -16*b + 20*b - 252 = z. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4\/(-30)*-7)\/(348\/96141165). Let j = s + -257849. Calculate the common denominator of 25\/16 and j.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/15, -2, 768342\/113 in descending order.\nAnswer: 768342\/113, -2\/15, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -35 - -38. Let l be (-3 - -5)*4\/1. Suppose -2*o + 2*s + 1 = -7, -2*o + 4*s = -6. Solve -f*y + l = -o*m, 5*m = 4*y + m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 1 - o + 0*o**2 - 2 + 5*o**2 + 0*o**2. Let k(a) = a + 1. Let s(y) = k(y) + v(y). Let r(i) = -1 + 2*i + 1. Calculate s(r(t)).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q. Let j(h) = 2*h + 18140. Calculate u(j(t)).\nAnswer: -2*t - 18140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -q - n + 7303 - 7304, -12 = 4*q + 6*n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 8*o**2 + 32*o - 179. Is v(14) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1986199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 3*b - 0*b - 4*n, -2*b + 8 = -2*n. Let g = 32 + b. Let q = -17 + g. Solve 0 = -0*l + 4*l + q for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8828 + 2459. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 j when two letters picked without replacement from {y: 2, i: 1, a: 1, g: 1, s: 1, j: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2992 and 1664?\nAnswer: 311168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2.13 - -2.12394. What is t rounded to 4 decimal places?\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.29736 minus -4?\nAnswer: 3.70264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6369 is divided by 98?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -19*v + v**3 - 41*v**2 + 80 - 200 + 100 - 21*v. Calculate the remainder when 139 is divided by y(42).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 6*l**3 - 2*l**2 - 5*l. Let b(y) = -9*y**3 + 3*y**2 + 8*y. Let x = 61 - 53. What is x*f(s) + 5*b(s)?\nAnswer: 3*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -7  (b) -7\/250  (c) 0  (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -34.1806802 + 248290.2345802. Let m = y - 248385.7. Let i = -129.7 - m. What is i rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -43962, -87923, -131884, -175845, -219806?\nAnswer: -263767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*d + 88 + 76 = 88 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3319046079?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g = v - 4, -46 = 266*v - 271*v - 0*g + 2*g for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 14 = 106. What is the remainder when r is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3528 + -10580\/3. Which is the smallest value?  (a) -0.2  (b) 98  (c) m  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3.9843 + -0.0943. Let j = a - 0.39. Let s = j - 3.455. What is s rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 9 - 2*a**4 - 12 - 14*a - 2*a**2 + a**3 - 14 + 15*a in the form k*a**4 + j + g*a**3 + r*a + s*a**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 106 + -61. Let x = 45.079 - c. Let z = -0.436 + x. Round z to 2 decimal places.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in 2\/15, 5, -3029?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-117)\/(-24) - (-4)\/32. Let m(a) = a**3 + 4*a**2 - a + 1. Let i be m(-4). Calculate the highest common divisor of y and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u\/u**(1\/11))\/u**6)\/(u**(-1\/3)\/u)**(-4\/11))**(-3) assuming u is positive.\nAnswer: u**(184\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 31226*y**2 - 15296*y**2 - 15465*y**2 to s + d*y**2 + v*y and give d.\nAnswer: 465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express ((2 + 0 + 0)*(0*q + 2*q - q) + 3*q - 7*q - 5*q)*(39 + 19 + 26) as a*q + r and give a.\nAnswer: -588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**2 - 8*v + 5. Suppose -2*f = 42*f - 264. Determine x(f).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 277*r*t**4 - 44536*r*t**2 - 12*r*t + 2*r - 208*t**6 + 239*t**3 + 2*t**2 wrt t.\nAnswer: 6648*r*t - 24960*t**3 + 1434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2248*k - 2266*k = -162 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 276 - 48 = 0. Suppose -79*h = -k*h + 92. What is the remainder when h is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2281870, -4563735, -6845598, -9127459?\nAnswer: -11409318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.4, 2, -27, 3.243?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 1 + 358*f**2 - 186*f**2 - 176*f**2 + 5*f. Let g(n) = 3*n**2 - 4*n - 1. Give -5*g(a) - 4*p(a).\nAnswer: a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 0.4, -449.39, 10\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**2\/4 - 127*q\/2 + 771\/4.\nAnswer: -(q - 3)*(q + 257)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 539, 1078, 1617, 2156, 2695?\nAnswer: 3234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 139\/1026 and 55\/9.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -42 - -45. Let i = 63 + -54. Solve p = 4*w - i for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:33 AM and 11:16 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -47a (base 13) in base 3?\nAnswer: -1001210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 16 + (4 - 8 - 1)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*d + 286 = -12*d. Solve 2*a = 4*k + 10, 35 = 6*k - d*k - 2*a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 58395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:01 PM and 5:12 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 649 + -687.244. What is d rounded to one decimal place?\nAnswer: -38.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**3 - 7*j**2 - 9*j + 2. Let f be z(8). Let h = f + 6. Suppose 3*x - 5*x + d + 2 = h, -8 = 4*x + 4*d. Which is bigger: -4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 - -6. Suppose -b*q = -6 - 9. Suppose 10*u - 10 = -0*u. Solve 3*w = -5*n - 1, -3*n - u = -w + q*w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 11*h**2*r**4 - 9*h**2*r**3 + 2*h**2*r + 75197*h**2 - 35*r**2 wrt r.\nAnswer: 132*h**2*r**2 - 54*h**2*r - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -186 + 187. Let u(s) = 51*s**2 - 13*s - 1. Calculate the remainder when 441 is divided by u(m).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 555657.3 kilograms to nanograms.\nAnswer: 555657300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9801)\/(-1815)*(-20)\/((-20)\/5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -11.374  (b) 0.52  (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:27 AM and 5:33 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 71344, 71349, 71354, 71359, 71364?\n\"Answer: 5*j + 71339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1792?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2*1 - -1)*-5. Suppose 2*d + 20 - 8 = 3*p, 0 = d. Suppose -3*r + 3*g - p*g = -5, 0 = 2*r + l*g + 1. Solve 0*o - r*o = -8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 4*j = -7860, -3*j + 2111 = -5*p + 21748. Suppose 930 = -2*t + p. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1133302320211 + -20?\nAnswer: -1133302320231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ggbnngsgbbbgs. Give prob of sequence nnbs.\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + k = -3, -3*k = 7 + 2. Solve q = 2*f - 1 + 11 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 799*m**2 - 2550*m**2 + 6*m - 4067*m**2.\nAnswer: -5818*m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(130) - (sqrt(130) + sqrt(130)*-1*-6))\/sqrt(10) - (3 + sqrt(78)\/(2*sqrt(6))))*-6.\nAnswer: -156*sqrt(13) - 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uguu when four letters picked without replacement from gugkrrurgrrhu.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes before 7:15 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1.1 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the second derivative of -x**5\/20 + 5*x**4\/4 - 8*x**3\/3 - 21*x**2\/2 + 11*x. What is the hundreds digit of i(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w. Suppose -5*y - 2*h = -201, -2*h = 4*y - 123 - 39. Let d(s) = 5*s**2 + 39*s - y*s. Determine v(d(l)).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-11)\/44 + (-18)\/(-8). Let t be (-1)\/(-4) + 14\/8. Let w(r) = -r**2 + 3*r - 2. Let x(z) = -2*z**2 + 4*z - 2. Let u(k) = t*x(k) - 3*w(k). Calculate u(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33288242 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -40 + 43. Suppose -11*w + 40 = -15*w. Let f = w + 51\/5. Which is the closest to f?  (a) r  (b) -0.4  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -30*x + 21*x - 45 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 6781121 and -0.01.\nAnswer: -67811.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p - 1. Let v be 418\/57 + (-2)\/(-3). Suppose -5*g = -v*g + 5*y - 4, 5*g - 4*y - 2 = 0. Let z(u) = 3*u**3 - 2*u - 3. Determine g*l(w) - z(w).\nAnswer: -3*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the third derivative of r**4\/4 - r**2. Let q(w) = -12*w - 5040. Let o(j) = -13*j - 3360. Let s(p) = -3*o(p) + 2*q(p). What is m(s(l))?\nAnswer: 90*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4044 + -83?\nAnswer: 3c91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 22*g**3 - 27*g**3 + 3 + 30*g - 26*g as x*g**2 + f + u*g + v*g**3 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, -2\/5, -41?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*x - 4*x + 2*x)*(-8 + 3 - 7) to f + a*x and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = 4*s - 3*s - 2*i, -2*s = 5*i + 11 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 3, t: 1, y: 13, o: 2}. What is prob of sequence oyy?\nAnswer: 52\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3 + 24\/(0 - 2). Let o be (-72)\/g + -1*3. Let p(v) = -o*v**2 + 3*v**2 + 2*v**2 + v**2. Let h(s) = -6*s**2. What is p(h(r))?\nAnswer: 36*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 46*n - 17 + 18 - 3 - 10 + 3*n - 3*n + 3*n + (0 + 0 + 1)*(2*n + 0*n - n).\nAnswer: 50*n - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 11 = 15. Let l = -539 + 630. Calculate the greatest common divisor of l and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6248175 nanograms to milligrams.\nAnswer: 0.0000006248175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, y: 2, o: 1, q: 2, s: 2}. What is prob of picking 1 q and 1 f?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -70.372 - -71.9. Let r = q + 2.218. Round r to 1 dp.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 33*w - 1405. Determine l(41).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 0)*(-m**2 - m + m) + 2*m**2 + 0*m**2 + 0*m**2 - 12 + 12 + 8*m**2 + (-3*m + 3*m**2 + 3*m)*(-2 - 3 + 3).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 100 is divided by -2*(-93)\/15*(-25)\/60*-6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y**2 - 9*y. Let c be h(-14). Let d = c + 100. Suppose 5*v = 35 + d. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48092 is divided by 139.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 396177 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 172980658 to the nearest integer?\nAnswer: 13152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q + 40 = -h + 51, -h + 2*q = 13 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y**5 + 32*y**4 - 122*y**3 - 92*y**2 + 320*y + 256 = 0. What is y?\nAnswer: -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -l + 6*l + 61, -3*l = 2*w - 28. Find the common denominator of -23\/44 and (-2)\/w - (-5247)\/(-1496).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**3 - 9*y**2 - 17*y + 62. What is n(10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 43 + -23. Suppose -3*l - y = -0*y - 4, -4*l - 5*y + d = 0. Let z be l - 19\/((-57)\/126000). Round z to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -44e59 (base 15) in base 5?\nAnswer: -24003414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 205 (base 9) to base 13\nAnswer: cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -5*i**3 - 7. Let n be 0 + -1 + 0 + -6. Let r = 13 + -9. Let y(x) = x**3 - 1. Let f(j) = -7*j**3. Let b(a) = f(a) + 4*y(a). Calculate n*b(o) + r*d(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -929630 rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000264630561 rounded to five decimal places?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -378*m**3 + 860*m**3 - 326*m**3.\nAnswer: 156*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = 2 - 0, 0 = 2*i + q - 10. Let l = 7 + -3. Let b be 3\/6*(-10)\/(-1). Solve b*p - i = l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 + 1. What is the remainder when 3\/(j\/32*-6) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -5195.2, -1.1, -3\/5, -5?\nAnswer: -5195.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (396\/(-231))\/(4\/14)*(-126)\/108?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 5476713418 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(540)\/(sqrt(72)\/sqrt(6)) + sqrt(45) + sqrt(45)))\/((sqrt(36)*-2)\/sqrt(4) + sqrt(72)\/(-2*sqrt(8))).\nAnswer: -12*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(33)\/(sqrt(15)\/sqrt(20)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -8*u - 2. Let a(z) be the second derivative of -3*z**3\/2 - 3*z**2\/2 + 3*z + 78. Suppose -5*c = -c + 16. Determine c*a(v) + 5*q(v).\nAnswer: -4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 5*v**2 - 2. Let i be (-2)\/4 + 10\/4. Let q(z) = -z**2 + 8*z - 8. What is the smallest common multiple of f(i) and q(6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 14310 and 540?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 420 = -1508*i + 1536*i for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 231 + -238. Let x(s) = -11*s - 73. Let w be x(n). Which is the nearest to -1?  (a) -1\/10  (b) w  (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**3 - m**2 - m + 1. Let u(z) = z**3 + 14*z**2 - 17*z - 41. Let g be u(-8). Let x(v) = -6*v**2 + 5 + 1 - 485*v + g*v. Give -6*h(l) + x(l).\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 0*q = -9. Let s(o) = 16*o. Suppose 4 = -4*g + 8*g. What is the remainder when s(g) is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eehhhhedkfhehdhe. What is prob of sequence kfeh?\nAnswer: 1\/1248","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2892\/241*(-15)\/(-84)*1.\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -408 = 7*h - 1094. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o**3 + 17*o**2 - 34*o + 51. Let y be h(15). What is the units digit of 499 - -10*y\/45?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -28 - -32. Which is smaller: 7 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 858 in 4\/5, -20, -0.4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 418800 divided by -50?\nAnswer: -8376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r - 1 = m, 3*m - 6*r = -8*r + 21 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7072*b + 3363*b - 3012*b**2 - 1 + 2864*b wrt b?\nAnswer: -6024","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -2, 0*n - 15 = -4*m + n. Suppose 3*w = 5*j + m*w - 18, -4*j + 3 = -3*w. Solve -4*a - 16 = -5*k + 9, 0 = j*a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3\/(3\/8*2). Suppose 4*p - 44 = -4*q, 0 = p - q - 2 - 3. Calculate the highest common divisor of n and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -3*w**3 + w**2 + 21*w - 4. Determine g(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 57, -2, 6773, -0.4, -11 in decreasing order.\nAnswer: 6773, 57, -0.4, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4068752, -4068768, -4068784, -4068800?\nAnswer: -4068816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -34\/11, 5, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4959538 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d**(1\/2)\/d))**(43\/5)\/(d**(2\/9))**14 assuming d is positive.\nAnswer: d**(881\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s. Let l(r) = r**2 + 8*r + 5. Suppose -b = 4*u + 1, 15 + 7 = -3*u - 5*b. Let d = u - 9. Let k be l(d). Give a(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.00346 times 87\nAnswer: 0.30102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 5846187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7046*p**2 + 7046*p**2 - 10*p**3.\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sttldbl. Give prob of picking 1 d and 1 l.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 22093727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -110704 = -5*z + 3*g + 170169, -224692 = -4*z + 4*g. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 56 and 128?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 61 = 5. Is q a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-22)\/(-594))\/(444\/(-306)) and 32\/333.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16 - f - 15 + 52 - 19 - 2.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61 = -z + 169. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -4*j. Let r be (3\/5)\/((-3)\/(-15)). Solve 4*y - y + 12 = j, r*z = -3*y - 24 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) 3\/2  (c) 0.25  (d) 2\/7  (e) -65  (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -1703 * 61\nAnswer: -103883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is bb71 + -136?\nAnswer: ba3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -7*h - 6*h + 1 + 11*h + 2*h**2 + 13*h**3 - 5*h**3. Calculate u(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -786 by 1192976.\nAnswer: -393\/596488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j**3 + 39*j**2 + 306*j - 24. Let s be q(-11). Let n(g) = -g**2 + 10*g + 7. Let d be n(9). Sort d, s, 2.\nAnswer: s, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 77*c**2. Let m(k) = -17*k**2. Calculate z(m(f)).\nAnswer: 22253*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1144342313 to the nearest integer?\nAnswer: 33828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(21)*-1)\/((sqrt(36)\/sqrt(4))\/sqrt(3)) - (((sqrt(252) + 0)*-3 + sqrt(252))*3)**2.\nAnswer: -9072 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 314701686755\/29145948 + 203\/1120998. Let y = f + -10798. Find the common denominator of y and -91\/8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -496 - -639. Let v = h + -52. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1657.984 and 0.1.\nAnswer: 1658.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 - 3. What is the units digit of (-109)\/o + (-3)\/(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*m - 27 - 1169 = -51*m for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 0.737556 months?\nAnswer: 0.0061463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4446082495 to the power of 1\/2, to the nearest integer?\nAnswer: 66679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(245)\/sqrt(7)*3)\/(sqrt(5) + (sqrt(120)\/sqrt(6))\/sqrt(4)).\nAnswer: 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 + -9)*(-2)\/4. Let c be 1 - (-2)\/6*(-19 - -22). Factor 14*s**4 + 17*s**y + 2*s**2 - 10*s**c + 4*s**3 + 3*s**5 + 18*s**4.\nAnswer: 4*s**2*(s + 1)**2*(5*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2548 and 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55*c + 3 + 0 + 6 - 8.\nAnswer: -55*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.063 - -0.137. Which is the smallest value?  (a) j  (b) -0.1  (c) 12  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 155 + -165. What is the nearest to 2\/3 in s, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from airioxnnr. What is prob of picking 1 r, 2 n, and 1 a?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 37*s + 1784. Is v(-44) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13848303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2627381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + 0 + (12 - (8 - -2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w**3 + 3*w**2 - 2*w + 2. Let j be b(2). Suppose -j*l + 6 = 2. Let c be (-27)\/(-6) + l\/(-4). Solve -u - c*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.8 in 0, 687, 15, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 100552457*p - 14740249?\nAnswer: 100552457","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3085 - -7440. List the prime factors of j.\nAnswer: 5, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 minutes after 6:07 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -1732000 to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 968 * 0.01\nAnswer: 9.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(-1 + -2 + 0 + sqrt(847) + sqrt(847)))**2 + 2.\nAnswer: -4752*sqrt(7) + 122294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 8258925 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: Let h = -8 + 19. Suppose 0 = -4*r - 0*r. Suppose 0*c = -4*c + 12. Solve c*m + 2*o + h = r, -4*o + 2 = m - 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x**2 - 3*x - 3. Let t be s(-4). Let b(y) = 5 - 6*y - y**3 + 16*y - 4*y - 6*y**2. What is the units digit of b(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 463911010 to the nearest integer?\nAnswer: 21539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 81 + -49. Let r(n) = -32*n**3 - 382*n**2 + 23*n - 7. Let k be r(-12). Solve k*w + g = 52 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 7*l - 397 = 6*l, -4*h = 3*l + 779. Let m = h + 199. Solve -c - 3 = v, -4*c = m*v - 1 + 13 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 10}. Give prob of sequence rrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((3*sqrt(170))\/sqrt(10) - (sqrt(51)\/sqrt(192) + sqrt(17))) + (-5*sqrt(153)\/(sqrt(9)*-2) + sqrt(68)*1 + 5 + -2*sqrt(17))**2.\nAnswer: 215*sqrt(17)\/8 + 513\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -23*d**5 + 13010*d**2*p + d*p - 270790*d wrt d?\nAnswer: -460*d**3 + 26020*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -31*y**2 - 26*y**2 - 5*y + 55*y**2 to the form l*y**2 + x*y + p and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 3*n = 36703, -o + n + 2866 + 4473 = 0. What is the thousands digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate l*t**3 + 7*l*t**2 - 296*l - 3*t**3 wrt t.\nAnswer: 3*l*t**2 + 14*l*t - 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x**2 - 11*x - 31. Calculate i(17).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/21)\/(19\/133)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(2\/(-2))*7\/35\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1573) + 1)**2*-3 - (-4 + (6*sqrt(1573) - sqrt(1573))**2).\nAnswer: -44043 - 66*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 91865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*s + 449 = 77. Let z(k) = 37*k**2 + 18*k + 48 + s*k**2 - 67*k**2. Calculate the remainder when z(-19) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 153157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -118.73 + 5173.53. Round i to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the second derivative of x**5\/20 - 11*x**4\/12 + 4*x**3\/3 - 7*x**2\/2 + 4*x. Is h(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 5*t + 1. Let c(x) = -2*x - 408. Let s(u) = c(u) - 6*f(u). Let k be s(-13). Solve -4 = 4*a - k*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 7.12 and 4.\nAnswer: 28.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 57 + -169\/3. Put c, 2, -19 in decreasing order.\nAnswer: 2, c, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 1 = -5. Suppose -g + 4*j = d + 4, 2 = g - 2*j. Suppose -3*s - 4*w = -40, 4*w = 5*s + 5*w - 61. What is the greatest common factor of s and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*z - 88*z - 3*z as q*z + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -78*h**2 - 5*h + 338. Let p(o) = o. Let j(i) = 3*p(i) + y(i). Find the first derivative of j(c) wrt c.\nAnswer: -156*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 92247694, 368990787, 830229276, 1475963161, 2306192442, 3320917119?\nAnswer: 4520137192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1111 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times -23976?\nAnswer: 2397.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 2714*n + 173682. Give i(-64).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the third derivative of -z**5\/330 + z**4\/66 - z**3\/33 - 5*z**2. Suppose f(l) = 0. What is l?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (16 + 90\/160*-36)*-4\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 24891493+32165.2\nAnswer: 24923658.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*g**5 - 19*g**4 + 16*g**3 + 190*g**2 - 3*g + 9?\nAnswer: -120*g**2 - 456*g + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6777 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -9*a**2. Let k(n) = -1560309*n. Calculate k(w(f)).\nAnswer: 14042781*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 5, -27, -2\/5, -0.42, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 46794 and 10834938.\nAnswer: 4254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 5, -0.4, -305, 1?\nAnswer: -305","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 + 6. Suppose -m*v + 14 = 4*b + 4, -5 = b + 3*v. Suppose i + b*i = 45. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 53*w**2 - 11*w**2 - 7*w**2 - 17*w**2 - 16*w**2 + 9511 in the form p + b*w**2 + y*w and give p.\nAnswer: 9511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f - 50 = -5*o, -49 = 3*f - 5*o + o for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*p**3 + 88*p**2 + 9654*p - 50220 = 0. What is p?\nAnswer: -54, 5, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-6*3*1*sqrt(143)*-2)\/(sqrt(1331)*-1*-3*4).\nAnswer: 3*sqrt(13)\/11 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**2 - 2*j + 9. What are the prime factors of u(6)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -36, -2, -3, 69, 3 in decreasing order.\nAnswer: 69, 3, -2, -3, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:23 AM and 11:17 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is c347 - -1d9?\nAnswer: c542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 + 5)*6\/((-12)\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 67 * 890\nAnswer: 59630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from upqhn. Give prob of picking 1 p and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3234126 + -56?\nAnswer: -3234215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4611 and 696?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -31, 0, -28, 5, -1 in decreasing order.\nAnswer: 5, 0, -1, -28, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**(-1\/3))**(-1\/28))**(-7\/2))**10 assuming l is positive.\nAnswer: l**(-5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes after 11:22 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 747651730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a - 74 + 29 = -226866*f + 226869*f, -38 = 2*f - 2*a for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.01 - 2.59. Let x = o - -3. Let h = -1.1 - -1. Which is the third smallest value?  (a) x  (b) -3\/5  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d**4 + 4*d**4 - 3*d**4)*(76*d + 87229 - 87229).\nAnswer: -76*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - i = -2*i + 101, -2*f - 2*i = -58. Suppose 7*d = d + f. Let m(h) = -h**2 - 5*h - 1. Calculate the remainder when d is divided by m(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-1\/16)*n**5)**45\/(n*n\/(n*n\/(n**8\/n))*n*n**(-3)*n*n**(-2\/3)*n**(-8)) assuming n is positive.\nAnswer: n**(10793\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p - 1. Let m(n) = -42*n - 42. Let u(h) = 6*h + 6. Let w(c) = 5*m(c) + 36*u(c). Calculate 5*q(k) + w(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/108 and -12 + 9 + 43\/(-14).\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1530345591 to four decimal places.\nAnswer: 0.153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**3 + 8*r**2 - 6*r - 4. Suppose 0 = h - 2*i - 9 - 6, -2*h + i + 18 = 0. Let x be f(h). Suppose 0 = x*z - 0*z - 18. Solve 0 = -2*t + 4*t - z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 5*k + 88 = 0, -5*w + 2*k + 58 + 191 = 0. What is the derivative of -23*m + w*m + 55*m + 32 wrt m?\nAnswer: 81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*(sqrt(1100) + -1) - sqrt(1100))**2 + 2)*2*-6.\nAnswer: -647256 + 10080*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (297\/72)\/(426\/2272)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53*v**3 + 7385*v**2 - 7385*v**2.\nAnswer: 53*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3291 - 3291 + 1141*h**2)*(-4 + 2 + 3)*(-5 + 1 - 2).\nAnswer: -6846*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -20 (base 3) to base 8\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3629 - 3717. Which is the third biggest value?  (a) 0.1  (b) u  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -141 greater than -4194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the first derivative of 5*j**4\/2 - 16*j**3 - 60. What is the third derivative of y(o) wrt o?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -2*n - 3. Let p be o(-14). Suppose -m + 5*w + 40 = w, m = -3*w + 5. Suppose -3*h + h = -m. What is the highest common factor of h and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-2)\/(-68))\/(6\/(-225235212)). Let h = o + 1103762. Let n = 332 + h. Which is greater: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 31524 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -18*l**2 + 1. Let f be o(-1). Let x = f - -16. Let s = 0 - x. Solve -3 = 4*b + s for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.2 + -0.7. Let v = 317\/2 - 157. Put x, v, -5 in ascending order.\nAnswer: -5, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, -26, -44, -2, -1, 2 in descending order.\nAnswer: 2, -1, -2, -11, -26, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -5794646770864 take away 0.4?\nAnswer: -5794646770864.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6720)\/(7840\/(-56)))\/(((-9)\/(-6))\/1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 24062, 48188, 72314, 96440, 120566?\n\"Answer: 24126*u - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 230*q - 2065. Let a be m(9). Solve k + 11 = -2*h, 5*h + k = 7*h + a for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -20, -164, -41769 in descending order.\nAnswer: -20, -164, -41769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h + 3. Let s be u(2). Let p be -1*s - (-7 + 3). Let b(i) = -i - 1. Let o(v) = -2. Let x(j) = 2*b(j) + o(j). Calculate x(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*f + 13395 = 79*f. Calculate the highest common divisor of f and 6157.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 66\/4 - (-2)\/(-4). Let c(p) = -p**3 + 17*p**2 - 2*p - 30. Suppose 10 = 3*h - 107. What is the remainder when c(o) is divided by h?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 + 91\/65)\/((-21)\/10).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 264817226, 529634456, 794451690, 1059268928, 1324086170, 1588903416?\n\"Answer: 2*g**2 + 264817224*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 258, 23, 1, -3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that 3*q**5 + 2221*q**4 - 11138*q**3\/3 - 5920*q**2\/3 + 11872*q\/3 = 0.\nAnswer: -742, -1, 0, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 - -102. Suppose -5*b + x = 2*p + 21, -3*b + 5*p + 17 = 0. Calculate the remainder when (-8)\/36 + 5848\/153 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -28, -25, -22, -19?\n\"Answer: 3*j - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/(-14)*(35\/(-10) + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 59*q - 56*q + 5*q**2 + 4*q**2 + 20*q**2 + 1 to the form b + g*q**2 + m*q and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) 4  (b) 1.3  (c) -3\/4  (d) -3\/2  (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 0*w + 2*k = -22, -2*k = 2*w - 2. Suppose q + 2*q - w = 0. Suppose 3*o - 1165 = -q*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -151697.\nAnswer: -3\/151697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y - 8. What is c(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u**3 + 5*u**2 + 6*u + 4. Let i be c(6). Solve 26 = 4*n - 3*b, i*b - 8 = -2*n + 3*b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1946 and 8618.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(68)\/((sqrt(48) + sqrt(2352))\/sqrt(12) + sqrt(4)) - sqrt(136)\/((-4*sqrt(88))\/sqrt(11)).\nAnswer: 13*sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -15 + 59. Let d = x - -33. Calculate the highest common divisor of d and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-39)\/(-1)*(-64)\/(-168)*(-252)\/(-144))\/1?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.244, 3, -571, 0.2 in ascending order.\nAnswer: -571, 0.2, 0.244, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1132, 9086, 30674, 72712, 142016, 245402, 389686?\nAnswer: 581684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2558217 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 25 - -5829?\nAnswer: 5854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 27091 + -27096. Suppose -3*n + 5*n = -5*x + 23, 2*n + 2*x = 20. Sort 2, n, c in descending order.\nAnswer: n, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00005388 rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x = -2*w + 18, -2*x + 343*w = 342*w - 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes before 4:57 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + -0.3087?\nAnswer: 3.6913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 20\/(-18)*72468\/(-1342)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2, 26, -2122, 2.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -6*f + 7. What is the remainder when h(-7) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = -z + 54. Let a be (1282\/4)\/(8 - z)*4. What are the prime factors of (-18)\/81 - a\/18?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 21 + -149\/7. Let q = -1.8 - -2. Which is the closest to 0?  (a) 5  (b) o  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2755 (base 8) to base 12\nAnswer: -a65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*y**3 + 1885*y**2 - 47720*y + 160400.\nAnswer: 5*(y - 20)*(y - 4)*(y + 401)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -40*j + 52*j - 72 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(220) + sqrt(220)*1)\/sqrt(4)*3)\/(-2*sqrt(110)\/(-1*sqrt(10))).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13841 - -24133. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 53\/5 of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1183 - 1192 - (-2 - (-229)\/(-33)).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1642?\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 7, 2, 3, -5 in decreasing order.\nAnswer: 7, 3, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, 2, -3, 5, -5 in increasing order.\nAnswer: -5, -3, 2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -75, -151, -227, -303?\n\"Answer: -76*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 minutes after 12:45 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 133, 266, 399, 532, 665?\n\"Answer: 133*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k = 5*b + 18, -15 = k - 0*b + 4*b for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 8\/9, 1\/4, -0.5, 0.294, 34, 2 in decreasing order.\nAnswer: 34, 2, 8\/9, 0.294, 1\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -5*c + c - 60, 4*c = 2*o - 100. Let j be 0 + 442\/5 + 20\/(-50). Let p = o + j. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that -456 - 2339*m**3 + 2336*m**3 - 237*m**2 + 68*m - 758*m = 0.\nAnswer: -76, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40121531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -4\/2025 and -41\/895680.\nAnswer: 40305600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -3 + o**2 - 3 - 1. Suppose 4*g = -3*w + 12, g + 4*w + 0*w = 16. Determine b(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 377 and 1325671113?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes after 5:51 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence prp when three letters picked without replacement from {r: 1, p: 4, h: 5, i: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**4 - 2*j**3 + j + 1. Let c(h) = 4*h**4 + 2*h**3 + 15. Let l(g) = -a(g) + c(g). What is the second derivative of l(q) wrt q?\nAnswer: 36*q**2 + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.068588 times -17?\nAnswer: -1.165996","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 7\/25 of a kilogram?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1755606 by -2.\nAnswer: 877803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 431*l + 264. Let j be z(-1). Which is smaller: j or -0.08?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 49981*c**3*u**2 + 5*c**2*u**2 - 4326*u**2 wrt c?\nAnswer: 299886*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4.4 + -24.8. Round b to 0 dps.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4 + 1 - 0) + 20. Suppose -h + 0 = 3, 73 = -5*v - h. Let n be (-4)\/v + 948\/14. Calculate the highest common factor of n and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**4 + 3*u**3 + u**2 - 3*u.\nAnswer: -u*(u - 3)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the second derivative of 1\/3*y**3 + 3 + 1\/3*y**4 - 1\/2*y**2 + 12*y. Calculate k(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5518 = 5*v + 1713. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the first derivative of -t**7\/42 - 5*t**6\/96 - t**5\/48 + 9*t**2\/2 + 9. Let v(q) be the second derivative of g(q). Factor v(a).\nAnswer: -5*a**2*(a + 1)*(4*a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29531258971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9326.\nAnswer: 2, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3, -7, -49, -141, -301, -547, -897, -1369?\nAnswer: -1981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the third derivative of 0*m**5 + 0*m + 0 + 1\/210*m**7 - 2*m**2 + 0*m**3 - 5\/12*m**4 + 0*m**6. What is the second derivative of s(q) wrt q?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11012 (base 5) to base 2\nAnswer: 1011110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the third derivative of -17*z**5\/60 - z**4\/8 + z**3\/2 + z**2 - 725*z. Let o(j) = 35*j**2 + 5*j - 5. Calculate 7*f(l) + 4*o(l).\nAnswer: 21*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -92388 divided by -30796.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**(2\/9)*h**(-2\/13)*h)\/(h*h**(-2\/3)*h*h*h**(-2)\/h) assuming h is positive.\nAnswer: h**(320\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -190.6 times 830?\nAnswer: -158198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (-1*(sqrt(72) - (-2 + -1*sqrt(72))) - 3*(sqrt(72) + sqrt(72)*1 + sqrt(72) + 3))*6)**2.\nAnswer: 54648*sqrt(2) + 318393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5454950 is divided by 164?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -205*a + 4316. What is w(17)?\nAnswer: 831","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*v - 3*v + 2*v)*((3 - 3 + 1)*(-1 + 1 - 2) - 4 + 4 - 1 + 60 - 22 + 87).\nAnswer: 366*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 147*a**3 - 387*a + 5. Let n(t) = 74*t**3 - 192*t + 2. Let f = -617 + 622. Let k(x) = f*n(x) - 2*j(x). Find the second derivative of k(d) wrt d.\nAnswer: 456*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*w + 46*w + 265 = 7*l, -4*l = -0*w - 3*w - 11*l + 230 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0 - (-10)\/(-2)*-6. Let m be ((-542)\/l)\/((-1)\/(-1)). Let i = 2609\/210 + m. Calculate the common denominator of i and -43\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -3 and -114325849.5073.\nAnswer: -114325852.5073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes after 3:22 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 7920000 = -2*c. Round c to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**3 - 12*f**2 + 27 - 6*f - 27 + 3*f**2. Is 20 a factor of k(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -17*o + 15*o + 8. Solve o*t - 25 = 9*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1530 and 1530?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(90)*-2)\/(sqrt(20) - sqrt(80)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -2*y + 4. Let q be (-2)\/10 + (-22)\/(-10). Let w be (-5)\/6*-3*q. Let a = 10 - w. Give m(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**2 + 3*i + 4. Let w be v(3). Suppose 0 = -w*a + 1063 + 1269. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 36200043 - 0.2.\nAnswer: 36200042.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2032, -14002, -44666, -102790, -197140, -336482?\nAnswer: -529582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -287.9 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 426 divide 1479924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*d - 3*d - 6*d**3 + 5*d - d - 2 to the form j*d + w + g*d**2 + n*d**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -24.5 + 24.1. Which is the second biggest value?  (a) -2  (b) k  (c) -3  (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 108 = -2*b, -216 = 4*b + 3*y - 0*y. Let m be (1*b\/(-15))\/((-5)\/(-25)). What is the units digit of ((-3)\/m)\/(1\/(-51))*12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the third derivative of -v**8\/168 - 8*v**7\/63 - 19*v**6\/45 + v**5\/5 + 79*v**4\/36 + 22*v**3\/9 + 23*v**2 - 9*v. Solve l(s) = 0 for s.\nAnswer: -11, -2, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 + 2 + 98\/(-21). Which is the third smallest value?  (a) 1\/4  (b) 5  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 7, c: 1, p: 3, i: 2, h: 1}. What is prob of sequence pi?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence npv when three letters picked without replacement from {p: 1, r: 1, m: 1, x: 2, v: 2, n: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2251 + -553. List the prime factors of n.\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 65.50591 millennia to months.\nAnswer: 786070.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*8*33\/88?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -86 + 89. Let d = -2 + 1.8. Let l = -231 - -227. Which is the nearest to l?  (a) d  (b) 3\/2  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 802815286 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*w - 12 = 53*w + 2*n, -14 = -3*w + 4*n. Let j(k) = -3*k**3 + k**2 + k + 2. Let q(h) = 7*h**3 - 2*h**2 - h - 5. What is w*q(b) - 5*j(b)?\nAnswer: b**3 - b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 4, p: 2, y: 6, e: 2, u: 1}. What is prob of sequence evey?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 16355411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33 = -3*u + 5*v, u + 16 = -2*v + 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 98*g - 48 = 90*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 - 0.5. Which is the smallest value?  (a) z  (b) 0  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 272 + 173 = 4*i, -4*d - 4*i = -356. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 7*f + 75. What is r(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 51\/4 of a millisecond?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -43b79254 - -1?\nAnswer: -43b79253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 1 j when three letters picked without replacement from {r: 4, a: 6, j: 6, k: 3}.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*u - 54*u = -5*b - 928884, -b + 5*u = 185740. What is b rounded to the nearest 1000?\nAnswer: -186000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0*2\/(0 + 2). Let s = -3 + 3. Let r(i) = s - 2*i**2 + 0 + p. Let h(z) = -2*z**2. Calculate h(r(y)).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -7*t**3 - 2*t**2 - t - 1. Is p(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.1 and 1771.\nAnswer: -1948.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ci when two letters picked without replacement from qqxfcjxi.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*j + 9*j - 27*j = 160 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13858560 (base 9) to base 8.\nAnswer: 32216514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1338, -1331, -1322, -1311?\n\"Answer: f**2 + 4*f - 1343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f = -6*f - m + 5, 3*f - 3*m = -3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**3 + 32*l**2 - 30*l + 99. Let y be f(-33). Let n = -0.08 + 0.012. Is y smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1110 + 1101?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -5*l**3 + 867*l**2 + 872*l = 0.\nAnswer: -1, 0, 872\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -42 (base 16) in base 6?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 21*g + 2. Let m(w) = -79 + 68*w - 35*w - 36*w + 79. Calculate m(r(v)).\nAnswer: -63*v - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 324692 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 140757402, 140757383, 140757350, 140757297, 140757218, 140757107, 140756958?\nAnswer: 140756765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 + (3 - 12) - 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1802930*z = 1802903*z - 621 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 2*v**2. Let j(x) be the second derivative of x**6\/15 - 7*x**3\/2 + 6*x. Let g(f) be the second derivative of j(f). What is g(n(q))?\nAnswer: 96*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -44 + -75. Let n = y + 119.0375. What is n rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*p - p - 2*p)*(19 + 53 + 45) + (13 + 6 - 10)*(1 + p - 1) + 2*p + p - 4*p to s + u*p and give u.\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 12*j**2 - 3. Let r(c) be the first derivative of -c**4\/6 + 3*c - 10. Let v(i) be the first derivative of r(i). Calculate h(v(a)).\nAnswer: 48*a**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m - 1. Suppose 72 = 4*v + 44. Let u(l) = 3232*l**2 + 4*l - 1616*l**2 - 1615*l**2 + v. Determine u(p) + 5*w(p).\nAnswer: p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1566499?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 1776 = -3*a, 0 + 4 = y. Is 16 a factor of a\/(-8)*12\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (232\/(-6032))\/(2\/((-4)\/(-1))). Which is the fifth biggest value?  (a) 0  (b) 2  (c) 0.7  (d) j  (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*u**2 + 47190*u + 46426*u - 2 - 93607*u + 2.\nAnswer: 7*u**2 + 9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 4 = -4*b + 4*j, 0 = 2*j - 8. Suppose 33 - 8 = b*u. Suppose 5*v - 4*a = 17, -5*a + 12 + 13 = 3*v. Solve v*l - 25 = -u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - -7 - (-3 + 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2801 + 2815. Solve -5*h = -2*v + 18, -i = 5*v - 6*v + 5*h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s\/s**0*s))**(7\/4))**(2\/3)\/(s**(-1\/4)*s\/(((s\/(s\/(s\/(s\/((s*s**(-4\/3)\/s)\/s)*s)*s)))\/s)\/s)*s**4\/s*s**6) assuming s is positive.\nAnswer: s**(-61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -18 + -50?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 73214657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 173440 to the nearest one thousand.\nAnswer: 173000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -183.1 rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 + 22 = -3*d. Let p = d - -31. Solve -3*y + i = -2*y - 7, p = 2*y - i for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.16726, -2, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*u**6 + 19*u**4 - 4*u + 3*u - 16*u**5 + 1252*u**2 + 9*u**5 - 19*u**4 wrt u?\nAnswer: 600*u**3 - 420*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mzmi when four letters picked without replacement from {z: 5, m: 8, i: 5}?\nAnswer: 35\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2447*j - 2436*j = 319 for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 98472555.7 to the nearest 10000.\nAnswer: 98470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**3 - 6*l**2 + 29*l + 20. Let r be t(-9). Which is the second biggest value?  (a) 3  (b) 0.14  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 232\/(-348)*((-11)\/(154\/(-1337)) - 4).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/(-6) - (-60)\/18. Suppose k*x - 3 = 13. Determine m, given that -1\/3*m**3 - 1\/3*m**2 + 1\/3*m**5 + 0*m + 0 + 1\/3*m**x = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13081756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/3)\/(1\/6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 171 is divided by 78.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) 25700  (c) -58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s - 14*s**2 + s + s + s**3 - 16. Let i be u(14). Let o(d) = 262*d**3 - 2*d**2 - 2*d. Let p be o(i). Round p to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.642 - -0.642. Let r = -8 - -5. Which is the closest to g?  (a) r  (b) -1  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3520) - (sqrt(3520) + -2*sqrt(3520))*-2)*-6)\/((-1*sqrt(1080))\/(sqrt(6) + sqrt(150)*-2)).\nAnswer: 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1133 - -1135.998. Let k = q + -0.038. Let s = 0.04 + k. Which is smaller: s or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -77\/57 at most 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 720806257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) -775  (c) -85.9  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 3.77*-240\nAnswer: -904.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -71577.44 rounded to the nearest 10?\nAnswer: -71580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5586 and 322539.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/14 + 7\/((-245)\/100).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 60 + (5 + -4 - 0). What is the remainder when (h + 4)*2\/2 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 25 + -27. Let b be ((-27)\/u - 0)*(-66)\/(-9). Let f = -10 + b. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4020.\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0.1955784265+12\nAnswer: 12.1955784265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2 - -3)*-1*-2. Suppose 4*f = 4*s + 28, -2*f - w*s + 28 = 3*s. Calculate the greatest common divisor of 1 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -0.5, 0.4, -5, -4528?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 100 divide (66\/(-176))\/((-1)\/6184)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10208235073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -15*h + 42. Suppose -4*y + 15 = -5. Let z(m) = -31*m + 84. Let n(r) = y*b(r) - 2*z(r). Differentiate n(s) with respect to s.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1750000 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -73.2321 rounded to the nearest integer?\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 194180356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 118828648 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -47939\/150 or -319?\nAnswer: -319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -5*z**2 + 4*z + 1 + 1 - 10*z + 5*z**3. Let r be (-224)\/(-96) + (-8)\/6. Let h(j) = -j**3 + j**2 + j. Determine r*g(o) + 6*h(o).\nAnswer: -o**3 + o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3.9 + 0.1. Let w be -1 + (-23)\/(-6) - (-4 + 7). Sort w, v, 0.5.\nAnswer: w, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -601, -2394, -5403, -9622, -15045, -21666?\nAnswer: -29479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 14.042 + 23949.\nAnswer: 23963.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/15 in 3\/4, 0.25, -0.3?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 1368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -296*g + 35. Calculate the remainder when k(-7) is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -4 and 1123.9.\nAnswer: 1119.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:50 PM and 2:41 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 19\/4 of a meter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -3\/1085?\nAnswer: -3\/1085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 805, -3, -0.06, 18, 0.4 in descending order.\nAnswer: 805, 18, 0.4, -0.06, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -54 + 75. Suppose 9*a = 2*a - l. Calculate the least common multiple of 2 and (1\/a + 0)\/(21\/(-315)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*u**5 - 11*u**5 + 4*u**5 - 4*u**5 + 2*u**5 - 3*u**5 + (2*u**3 + 3*u**3 - 3*u**3)*(-u**2 - 2 - u**2 + 1).\nAnswer: -23*u**5 - 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 5 + (-4 - 4 - -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -l**2\/7 + 58882*l\/7 = 0.\nAnswer: 0, 58882","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*l - 4*l + 3*l + 0*l - 3*l + l + (4 + 0 - 2)*(3*l - 2*l - 2*l) - l + 2 - 2 + (0 + 5 + 4)*(3*l + 0*l - l) to the form y + k*l and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*o - 3 = 6*o - 3. Determine z so that -1\/8*z**3 + o*z + 0 - 1\/8*z**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/7, 1, 1\/2, 0, -34435.\nAnswer: -34435, -2\/7, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2524 - 2478.04. Let w = -46 + i. What is the third smallest value in 1, 15, w?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 10 - 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -291, 1\/5, -2\/3, -4 in ascending order.\nAnswer: -291, -4, -2\/3, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -226100, -904340, -2034718, -3617228, -5651864, -8138620?\nAnswer: -11077490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.0471 and -0.1?\nAnswer: -0.00471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**2 - 2*n + 2. Suppose -3*d = 2*d + 30. Let z(s) be the third derivative of s**5\/30 + s**4\/6 - 2*s**3\/3 + 665*s**2 - 3. Determine d*z(m) - 13*l(m).\nAnswer: m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 7\/5 + 3\/5. Let i(k) = 8*k - 3. Is i(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 342755671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9*j**2*l**2 + 2*j**2*l + 98*l wrt l?\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 9*b - 21*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 33*a. Let y(r) = -2*r**2 + 26*r. Determine y(b(t)).\nAnswer: -2178*t**2 + 858*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5 - 1460?\nAnswer: -1465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 6*r - 28. Suppose r*s = y - 10, -2*s + 2*y = -y + 4. Is s\/((-2)\/(-3)*(-3)\/339) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1170\/(-682) + 2 + 36\/(-396)?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 18640 + -18639.91. Let r = 12\/5 - 69\/35. What is the nearest to 0 in r, -4, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 2*z - 4*z)*(4*z + 7*z + 2*z)*(1 - 2 - 1).\nAnswer: 52*z**2 - 26*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -402 (base 9) in base 7?\nAnswer: -644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -15578.09 - -15578. Which is the fourth smallest value?  (a) 0.2  (b) g  (c) -0.2  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2, -18, -38, -56, -66, -62, -38?\n\"Answer: f**3 - 8*f**2 + f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 49895 is divided by 894?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1abda - e5?\nAnswer: 1aaf5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r - 5 - 51. Suppose 2*k - 3*n + 9 = k, -2*k = -5*n + r. Which is the second smallest value?  (a) -0.5  (b) -0.3  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44946157 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:29 PM and 2:57 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -212203, -212567, -212915, -213241, -213539, -213803, -214027, -214205?\n\"Answer: n**3 + 2*n**2 - 377*n - 211829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*a**4 + 3*a - 3*a + (-9*a**2 - 2 + 2)*(-6*a**2 + 4*a**2 - 5*a**2) in the form d*a**2 + o*a**4 + m*a**3 + j*a + x and give o.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -47868 divided by -148?\nAnswer: 11967\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -33 + 7. Let g = d - -26.1. Which is the smallest value?  (a) 2  (b) g  (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 336 - 289. List the prime factors of g.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 2*b. Let p(t) = 2*t**2 - 1565. What is i(p(c))?\nAnswer: 4*c**2 - 3130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in -2446, -763, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -3*y + 2. Suppose 18*l + 12 = 14*l. Determine n(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18836526.\nAnswer: 2, 3, 3139421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/2560 and 3\/5120.\nAnswer: 5120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14\/4*((-162)\/(-63))\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand d + 2*d - d + (4*d + 2*d - 4*d)*(-3 + 1 + 0) + 0*d + 0*d - d + (5 - 2 - 4)*(1 - 1 + d) + 3*d + 0*d - d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 3*(-6)\/((-72)\/2044) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 minutes before 3:35 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1215 - 5867*g + 2449 - 1234 to v + b*g and give b.\nAnswer: -5867","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes after 8:18 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.8525*-5\nAnswer: 4.2625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 4 = -4*y. Let r be 14\/y - 1\/2. Suppose 0 = 50*k - 47*k - 6. Solve k*j + r = -7 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1778 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 6034711 or -6\/7?\nAnswer: 6034711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1000)\/300*6\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 16789180029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 104\/13*(-17)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28204 is divided by 2820?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52045237?\nAnswer: 19, 2739223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -66 - (-3)\/9*-3. Let j = -42 - o. Solve 15 = -3*q - 2*y, -3*q - 5*y + 1 - j = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the third derivative of a**5\/30 - a**4\/12 - a**2. What is o in b(o) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 25.5260754 microseconds?\nAnswer: 0.0000000002954406875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/7, 4, -347, 0.6 in ascending order.\nAnswer: -347, -2\/7, 0.6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -44*q**3 + q**2 + q. Let h be w(-1). Suppose 0 = -n - 3*n + h. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**2 + 15*w - 16. Let b be h(-16). Suppose 4*z = 2*s - 700, z - 4 = -b*z. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*w**2*y**3 + w**2*y**2 + 5*w**2 - 462*w*y**3 - 68*w*y**2 wrt y?\nAnswer: -18*w**2 - 2772*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(11) + -1)*1.\nAnswer: -1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.33 + 0.07. Suppose -22 + 6 = -4*h. Sort h, j, 3.\nAnswer: j, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -372\/56557 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6126 + -1973. List the prime factors of g.\nAnswer: 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -370 or -1112\/3?\nAnswer: -370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that -7726*j**2\/3 + 8637666*j + 6708 = 0.\nAnswer: -3\/3863, 3354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1851118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -23  (b) 0.7  (c) 1\/19  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 5*p - 8 = 0, -5*v + p + 3*p = -23. What is the second derivative of -14*d**2 + 10*d**2 + 45*d**3 + v*d**2 + 9*d - 90*d - d**3 wrt d?\nAnswer: 264*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14 - (-21 + 31 - -12) - 18\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 112154.2 centuries to months.\nAnswer: 134585040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 2, -0.5, 4, -81\/2, 112, -5 in decreasing order.\nAnswer: 112, 4, 2, -0.5, -2, -5, -81\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 614, 606, 598?\nAnswer: 590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y**3 + 9*y**2 - 6*y - 10. Let q be w(8). Suppose -12 = q*n - 9*n. Solve 3*v = -2*u - 10, -2*v + n*v + 2*u = -8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**2 - 16*z - 15. Determine l(-11).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*z - 27\/2 + 3\/4*z**3 + 27\/8*z**2.\nAnswer: 3*(z - 2)*(z + 2)*(2*z + 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -109*y + 104*y + 10 = 5*z, 0 = z + 4*y - 17 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 15 + -12. Suppose -4*n = a + 5. Let y(i) = -3*i**2 + 4*i - 4. Let m(u) = -13*u**2 + 17*u - 17. Determine n*m(s) + 9*y(s).\nAnswer: -s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -78 divided by -13\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 204845231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 2*x**2 + 1. Let i(l) = l**2 + 21*l - 7. Let q(m) = -3*m + 1. Let w(n) = -2*i(n) - 14*q(n). What is 2*f(s) + 3*w(s)?\nAnswer: -2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5 and 45141905.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1011011001000001 - -11000001011?\nAnswer: 1011110001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*o - 33*o**2 + o + 36*o**2 to t*o**2 + h + a*o and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 - -48. Let a be ((-2)\/(-6))\/(8\/y). Is 13\/4 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 7429642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-40)\/25)\/4*(13 + -8). Is -25\/21 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4 - 8. Let w = h + 4. Let f = -4 - w. Round f to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/3270 and 15\/2.\nAnswer: 3270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1 - 5)\/((-11)\/((-33)\/(-4))). Let l be 0*((-18)\/(-4) - 4). Suppose g*t - o - o - 206 = l, o = -4*t + 282. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 29.63332 decades to millennia.\nAnswer: 0.2963332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -1309, 0, -3, 1962 in decreasing order.\nAnswer: 1962, 0, -3, -1309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*o**3 + 351046 - 350996 + 25*o**3.\nAnswer: 20*o**3 + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39 = 3*q - 4*w, 8*q + 5*w + 55 = 13*q. Sort 6, q, 34, 1.\nAnswer: 1, q, 6, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -742*z**5 + 82*z**3 + 357166*z.\nAnswer: -14840*z**3 + 492*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14, 29, 44, 59?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t - 3*y + 992, 2*t = -2*y + 3*y - 396. Let f = -107 - t. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = -383*q + 379*q - 2*l, -5*q = -60*l + 64*l + 45 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 120 * -52.8.\nAnswer: -6336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3\/4, -163, 9\/38?\nAnswer: -163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 1, r: 2, a: 4, w: 3}. What is prob of picking 1 n, 2 w, and 1 a?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -10*y + 21. Let n be t(-4). Suppose -65*b + n*b = -36. Solve -b = -3*w - 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:58 AM and 3:19 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 113\/12768 and 143\/24.\nAnswer: 12768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (30\/165)\/(4959\/(-1881))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (405 - -4)\/(23\/69)?\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 3841974, 7683954, 11525934, 15367914?\n\"Answer: 3841980*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -5035, -16631, -35955, -63007, -97787, -140295, -190531?\n\"Answer: -3864*s**2 - 4*s - 1167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 60\/50*(-35)\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2038\/7 greater than or equal to -1077?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 112833.\nAnswer: 3, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, h: 4, g: 2, l: 2}. What is prob of picking 3 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**3 + k**2 + 6. Let l be (4\/(-1))\/(-4)*4. Let m(c) = 3 - l + 0. Calculate h(v) + 5*m(v).\nAnswer: -v**3 + v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (21 - (-28 - -57) - 23) + 26.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 80216 - 4?\nAnswer: 80212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 68\/33 and -125\/138?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -2*f - 2. Let y be r(-5). Let o(n) = n + 1. Let t(k) = -k**2 - 1. Let i(q) = -6*o(q) - t(q). What are the prime factors of i(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -2*n. Let o(j) = -j - 1. Let g(p) = -2*p**2 + p. Let a be g(1). Give a*o(u) + s(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5511, -22036, -49591, -88188, -137839, -198556, -270351?\nAnswer: -353236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lult when four letters picked without replacement from ukkttkkklkult?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1980149 and 2349.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60*t - 216 = 44*t - 100*t + 5*p, 5*t - 9*p - 340 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10629?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.03277, -2\/55, 0.4 in ascending order.\nAnswer: -2\/55, -0.03277, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -l*t**2 + 300*l*t - 3*l - 65319217*t**2 + 76*t - 64 wrt t?\nAnswer: -2*l - 130638434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 10212221220 (base 3) in base 15?\nAnswer: 17a10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 21*j - 2. What is the remainder when 1*362 - (26 + -6)*21\/84 is divided by x(2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 419889 take away -14?\nAnswer: 419903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 341974 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -194 - 2a315?\nAnswer: -2a4a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 283831989 to the nearest integer?\nAnswer: 16847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 56 and 1031992.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*l**5 + 7*l**5 - 4*l**5 + (-l**2 + 3*l - 3*l)*(0*l**3 + 3*l**3 - 2*l**3) + (-2*l - 6*l + 3*l)*(0*l**4 - 2*l**4 + 4*l**4).\nAnswer: -12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-8)\/12 + (-11264)\/(-66). Calculate the greatest common divisor of 918 and a.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -662368*l**5 + 37*l**3 + 173051721*l.\nAnswer: -13247360*l**3 + 222*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/9, 1\/2, 1\/146 in increasing order.\nAnswer: 1\/146, 2\/9, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 + -244011403?\nAnswer: -244011401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**3 - 9*u**2 - 16*u + 1. Let r(a) = -4*a**3 - 28*a**2 - 49*a + 3. Let y(s) = -7*d(s) + 2*r(s). What is the hundreds digit of y(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13137 * 0.08\nAnswer: -1050.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12130, -16807, -21482, -26155, -30826, -35495, -40162?\nAnswer: -44827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*c**2 + 19*c**2 - 19*c**2.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10101 - -100011102020?\nAnswer: 100011112121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 286 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6354 and 10507398.\nAnswer: 2118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12 and 14 + 1 - (19 - 20)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 53037046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 36.83225ng in milligrams?\nAnswer: 0.00003683225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/19, 1, -0.241, -55\/6 in increasing order.\nAnswer: -55\/6, -0.241, -1\/19, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1026?  (a) -3\/7  (b) 4  (c) -1\/3  (d) 13  (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 + -100121?\nAnswer: -100121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 14*n**2 + 88*n - 30. Let c(u) = -5*u**2 - 29*u + 10. Let m(v) = -11*c(v) - 4*s(v). What is the hundreds digit of m(-27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 2*l**2 - 16*l - 3. Give i(5).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 6, c: 2}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*z**2 + 221125*z + 147410 = 0. What is z?\nAnswer: -14741, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 378  (b) -1.1  (c) 951  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 11*w**3 - 96*w**2 - 20*w - 23. What is d(9)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 141*l**6 - 3*l**2 - 13*l wrt l?\nAnswer: 16920*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 31 - 15 = 0. Sort q, 5, 1 in decreasing order.\nAnswer: 5, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:06 PM and 5:37 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10738 - -10943.72. Let z = 2.72 - i. Let m = z + 203.00109. What is m rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-1\/2)\/f)**(3\/2)*f**5*f\/(f\/(f\/f**(3\/10)))*((f\/f**(1\/5))\/(f**(2\/5)\/f))**(-2\/139) assuming f is positive.\nAnswer: f**(1907\/556)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 8248 less than 8824?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -19891030, -4 in decreasing order.\nAnswer: 3, -4, -19891030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a microsecond in nanoseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.04 - -0.0768. Let m = -8.0068 + x. Let v = m + 8. What is v rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.0526 * -0.5\nAnswer: -0.0263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*a - 17 - 1 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 b when two letters picked without replacement from {e: 12, w: 5, b: 1, x: 1}.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0, -204, -2, -777, -5, 5 in increasing order.\nAnswer: -777, -204, -5, -3, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 2*k + l - 1, -3*k + 8 = 2*l. Let a(h) be the third derivative of h**4\/24 - h**3\/2 + 4*h**2 - 39. Calculate a(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*g + 21*g = 6729. Let f = -116645\/52 - g. Calculate the common denominator of 76\/9 and f.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -48 - -47 - (-1 + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l. Let a(f) be the second derivative of 3*f**3\/2 - 2*f. Give x(a(j)).\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/a**(-6))\/(a*a\/(a\/a**(-6)))*a**(-1\/4)*(a**(-14)\/a*a)\/a assuming a is positive.\nAnswer: a**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 103, 135, 167, 199, 231, 263?\n\"Answer: 32*l + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1135855 equal to 14766130\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -127 or -50\/3?\nAnswer: -50\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1461*h**2 + 4 + 1 - 1461*h**2 + h**3 - 7.\nAnswer: h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 38*x**2 + 3*x - 2. Calculate s(1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 - (-43 + (0 - (-2 - 10)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 21 + -18. Let j be (v\/(-6))\/(1\/2 - 0). Let q be 34\/8 - 4 - j\/(-36). Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -a - -35?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8835 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**3 + 5*u**2 + 6*u + 1. Give a(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 42 - 28. What is the smallest common multiple of g and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**2 - 192*w + 1660. What is r(9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - q = 189. Suppose q*n = 71*n - 19816. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 361210 - 2*j - 27*j - 361208.\nAnswer: -29*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4635827*o**2 + 15963 - 15963.\nAnswer: -4635827*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 59*c**2 - 90*c - 2839. What are the prime factors of d(-23)?\nAnswer: 2, 31, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1966162 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g - 1. Suppose -l + 8*l + 525 = 0. Let o = 77 + l. Let a(t) = -2*t + 6. Let v be a(o). Let n(k) = 2*k**3 - 11*k + 11. Calculate v*n(u) + 22*c(u).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 0 = -5*b - 2, 2*b = 4. Let k = 2 - -1. Let i(g) = -3 - k*g + x - 2. Let z(t) = t + 1. What is 2*i(j) + 5*z(j)?\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the second derivative of -c**5\/20 + c**4 - 7*c**3\/2 - c**2\/2 + 3*c + 40. What is r(10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = c - 16. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by -1488?\nAnswer: -1\/1488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 123305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2717798 divided by -6.\nAnswer: -1358899\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 23816179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 22755906623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*3\/(-63)*6\/(-3).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = n - 2*z + 22, -5949*n + 33 = -5948*n + 3*z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -q**3 - 23*q**2 - q + 4407 wrt q.\nAnswer: -3*q**2 - 46*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -419741*u**4 + 13*u**3 + 39333086?\nAnswer: -1678964*u**3 + 39*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11835164 a multiple of 1288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2973614664 - 2973614513.9999571. Let c = 150 - m. What is c rounded to 6 dps?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 40 and 4028.\nAnswer: 40280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 607*j - 209. Let u be x(3). Calculate the greatest common divisor of u and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 74 = -4*s, -4*s - 2*a + 50 = -26. Let y(o) = o**3 - 18*o**2 + o - 7. Is y(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9.96 - 0.04. Put 4, c, -0.1 in ascending order.\nAnswer: c, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:55 AM and 8:28 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*w**3 - 13*w**2 - 10*w**3 - w**3 - 3*w**3.\nAnswer: w**3 - 13*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**3 + 2*p**2 + p - 2. Let y be f(1). Let v(n) = 11*n**y + 101*n + 0 - 103*n - 1 - n**2. What is the tens digit of v(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3\/40, -205.66, -9.6?\nAnswer: -9.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 318904.5us in milliseconds?\nAnswer: 318.9045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*2*sqrt(459))\/(-2*sqrt(300)*3).\nAnswer: -sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4945 - 3142. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -262, -247, -222, -187, -142?\n\"Answer: 5*t**2 - 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -382*p - 150 with respect to p.\nAnswer: -382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*o**3\/3 - 105*o**2\/2 - 467*o\/2 + 185\/3 = 0. What is o?\nAnswer: -74, -5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 3*t + 4. Let q(l) = -2*l - 2. Let m(n) = -3*b(n) - 5*q(n). Let u be m(4). Suppose -u - 3 = -5*o. Solve -5*s - 5 = -2*h, 0 = -3*h - 5*s + o - 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 43\/2 of a day?\nAnswer: 30960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.02 in 3\/2, 2\/3, -1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - -5) + 11 + -7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 577, 4341, 10613, 19387, 30657, 44417?\n\"Answer: -t**3 + 1260*t**2 - 9*t - 673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that -2*m**4\/13 + 65410*m**3\/13 - 534317688*m**2\/13 - 8026608640*m\/13 - 23553164800\/13 = 0.\nAnswer: -11, -4, 16360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -168 - -187. What is the third biggest value in -0.03, w, -5, 5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 5*n = -3 + 34, 2*n + 10 = 0. Let i(y) = y**2 + y + 1. Let s(v) = -3*v**2 - 4*v - 4. What is q*i(l) + s(l)?\nAnswer: -l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h - 6. Let b be d(6). Suppose b = 2*o + 4, 4*n + 4*o + 6 = -10. Let a = 141 + -188. Sort -1, a, n in descending order.\nAnswer: -1, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10204 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is a0 (base 16) in base 2?\nAnswer: 10100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + ((-2)\/4)\/(32\/56)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 771153452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 247 - -699. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the first derivative of -2\/3*q**3 - 4 + 0*q**2 + q. Find the first derivative of p(j) wrt j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6755 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1157 - -1159. Solve -4 = h - w*u, u = 3*h - 0*u + 7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 66, 68, 72, 78, 86, 96, 108?\n\"Answer: s**2 - s + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -4, -17, 2, -5 in descending order.\nAnswer: 2, 0, -4, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*m + 2. Let g(d) = -8 - d**2 - 5 + 3*d - 6*d + 2*d**m. Calculate the remainder when 11 is divided by g(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3918331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 758.1 + -761.237. Let o = -0.137 - d. Which is the third smallest value?  (a) o  (b) 1  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 605*r - 600*r - 20 = 0. Solve 0 = o - 4*s - 17, r*o + 3 = -2*s - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**24)\/(r**(-8\/11)*r)*(r\/r**(-2\/9))\/(r**(11\/4)*r) assuming r is positive.\nAnswer: r**(8791\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, p: 1, x: 1, m: 1, n: 1}. Give prob of sequence pnm.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -172 = -110*m - 721 - 1211 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*c**2 + 679150*c - 3395875.\nAnswer: 5*(c - 5)*(c + 135835)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 145 - 251928?\nAnswer: -251783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00225215 rounded to four decimal places?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aapaaapappaaap?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aanhhnnnhn. Give prob of sequence hah.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ouxcjjuwuoow. What is prob of picking 2 w and 1 j?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 20\/3 + -58\/9. Let b = 2.01 + -2. Let d = b + -0.31. What is the smallest value in d, 0.1, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-1\/4)\/a)\/a*a)\/a**(1\/3)*a**(1\/21)\/(a*a**(-12\/7)) assuming a is positive.\nAnswer: a**(-23\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is p in -4*p**2 - 440720*p + 440724 = 0?\nAnswer: -110181, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**2 + 4*u - 5. Let p be o(-5). Suppose 4*g + 4*j + 3808 = 0, p*g - 2846 = 3*g - 2*j. Is 4\/18 - g\/18 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - (764\/64 + 9)) + 6 + 11?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 334586*v*z**5 - v*z**2 + 2*v - 16*z**6 - 77*z**2 - 207 wrt z?\nAnswer: 20075160*v*z**2 - 1920*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4580 = 5*a + 5*y, 0 = 5*a - y - 5304 + 730. Calculate the greatest common divisor of 122 and a.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**3\/6 - 62647*z**2 + 250587*z\/2 - 187940\/3.\nAnswer: (z - 375880)*(z - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-22)\/(-33))\/(6\/(-27))*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o\/((o*o**0)\/o)*o**3*(o\/(o**(3\/16)*o))\/(o**(-11)\/o) assuming o is positive.\nAnswer: o**(253\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 195*x**3 + 202*x**3 - 401*x**3 + 2 - 2.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**2 + 3*l - 1. Let u(o) = o**3 - 10*o**2 + 3*o - 8. Let f be u(10). Let m = f + -11. What is the lowest common multiple of m and d(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**3 + 4*n**2 - 3*n - 10. Let j be q(-4). Let m(x) = 44*x - 11. Does 12 divide m(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 2*w = 195, 2*r - r = -w + 65. Solve r*l + 1 = 66*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 2\/7  (b) 1  (c) 18  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**3\/3 - 4*a**2\/3 + 14*a\/3 - 8\/3.\nAnswer: -2*(a - 1)**2*(a + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15\/(-42)*(8\/(-60))\/((-16)\/96).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8 + 12. Suppose 3*c = 3*b - 13 - 29, -h*b - c = -66. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ttct when four letters picked without replacement from {c: 4, t: 7, e: 2, l: 1}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(3240) + sqrt(3240)*-3 + sqrt(3240) - sqrt(3240))\/(sqrt(88)\/(sqrt(11) + (sqrt(11) - sqrt(22)\/sqrt(2)))))**2 + -2.\nAnswer: 14578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73159 is divided by 820?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 + -6. Suppose 0 = -14*u - 0 + 14. Put 2, u, p in ascending order.\nAnswer: p, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.06 in -4\/7, -13, -93?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4051015 (base 6) in base 4?\nAnswer: 233030303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16.51 + -16. Let a = -5.91 + u. Let w = a + 5. What is the second smallest value in 0.5, w, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**3 + 52*s**2 - 686*s + 578. What is c(22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 16\/((-10368)\/1308) - 5\/(-6). Which is bigger: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 5770630594?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 375939862 to the nearest integer?\nAnswer: 19389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5016 is divided by 193.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 51 + -55. Let o(q) = q**3 + 5*q**2 + 6*q + 6. What is o(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 25568013, 51136031, 76704049, 102272067?\nAnswer: 127840085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 + -10022?\nAnswer: -10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = v - 0*v. Let i = v - -20. Sort -3, 1, i.\nAnswer: -3, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 829 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -113404629, -226809260, -340213891, -453618522?\n\"Answer: -113404631*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 2\/11, -226, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 319 + -188. Suppose n = 3*f - 4*d, f - 25 = 4*d + 24. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 89330 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (-20462 - 48660 + 16728)*(5*b**2 + 0*b**2 - 3*b**2) as g + s*b + y*b**2 and give y.\nAnswer: -104788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -0.057, -1\/3, -2\/15, 2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-10)\/14 - 4\/14. Let m be 11 + (-5)\/(6\/2 - 2). Which is the third smallest value?  (a) m  (b) 2  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 6 = 3*j - 4*t, 0 = 3*j + t - 10. Let s = -5 + 3. Which is the third smallest value?  (a) -2\/23  (b) s  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*c + 22 = -3*l - 14*c, c - 11 = -6*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 16, 99, 318, 739, 1428, 2451?\n\"Answer: 11*i**3 + 2*i**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -2*j**3 + 3*j + 3. Find the common denominator of h(-3) and 16\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 3 = 8. What are the prime factors of 174\/15 + (-2)\/h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + 3 - 3)*(2 - 3 - 1)*(2*f + 5*f - 5*f)*(-2*f + 4*f - f) to l*f**2 + p + j*f and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 481.8477841 + -308.8477904. Let s = -173 + g. What is s rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*f**3 - f**2*m + 12*f**2 + 86*f*m wrt f.\nAnswer: -12*f - 2*m + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (13 - ((-1 - -3) + -54 + 176)) + 9?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-7)\/(-5)*(-8)\/(-28). Let a be -3 + 3 + 1 + -1. What is the closest to a in -1\/6, 2, x?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 3\/9935, 13, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.04, -4, 307.\nAnswer: -4, -0.04, 307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q**2 + 2643*q + 15817. Determine j(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {r: 3, p: 2, w: 4, f: 3, u: 6, g: 1}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 4*i - 11*i - 5 + 5. Let c(j) be the first derivative of -j**2\/2 - 9. Give c(d(l)).\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.618 rounded to 1 decimal place?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*j - 7 = -37*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -3*i**3 - i**2 - 11*i - 11. Determine s(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**3 + 5*u**2 + 3*u + 4. Suppose -6*y - 10*y = -192. Calculate the least common multiple of d(-4) and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -726990707 to the nearest ten thousand.\nAnswer: -726990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*(-1)\/(-12)*(-2376)\/(-1980)*-175.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = 4*q - 3*z - 10, -4*q + 30 = -2*z. Suppose 0*m - 3*m + q*b + 283 = 0, -4*b + 66 = m. List the prime factors of m.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 38144546, 38144565, 38144610, 38144693, 38144826?\nAnswer: 38145021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*z**2 - z**3 + 3*z**2 + (11*z**2 - 7*z**2 + 8*z**2)*(-10*z + 3*z - 9*z))*(-4*z + 5*z - 5*z**2 + 4*z**2).\nAnswer: 193*z**5 - 193*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7, -10, -21, -46, -91, -162, -265, -406?\nAnswer: -591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 120 + -68. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 723 by -2.\nAnswer: -723\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8437840 is divided by 416.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6*z - 16*z**4 + 14*z + 9*z - 6*z wrt z.\nAnswer: -192*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 3\/5, -5, 0, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -25410854 and -2.\nAnswer: 50821708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 283, 1729, 5649, 13279, 25855, 44613, 70789?\nAnswer: 105619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 434 and 2666.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -191360576 divided by -44627?\nAnswer: 4288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 448244 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-7)\/42 - 6950\/60. Let d be 0 + (-3)\/(3\/(-59)). Let z = d - m. Is 25 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 270 and 10755?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 291, 1181, 2751, 5073, 8219, 12261, 17271?\nAnswer: 23321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = k - 3. Solve u = 3*b + 16, -6*b - k*u = -b + 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 177246\/22 + 132\/363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6 + 0)*(-6 + 8). Let f be (-1)\/(((-9)\/c)\/(-3)). Suppose -4*x = -f*n - 224, -44 = -x - 3*n + 7*n. Is 20 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4857\/20 + -971\/4. Suppose -7*h = -3*h - 12, -9 = -2*d - 3*h. Which is the second smallest value?  (a) -0.03  (b) d  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**3 - 7*a**2 + 7*a + 67. Let v be h(-3). Let k = 6.2 - 0.2. What is the nearest to v in k, -4, -0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = 5*z + 3, -4*j + z - 10 = -33. Solve -u = u + 3*s - 1, -4*s = u + j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1600 is divided by 89?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 - -7. Let a = 5 - k. What are the prime factors of ((-6)\/(-9))\/((-1)\/a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(225)\/sqrt(5) + 5)**2.\nAnswer: 30*sqrt(5) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {f: 11, u: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-21 - -21) + -4 + -1 - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 9020*a**3 + 8956*a**3 - 3 - a**2.\nAnswer: -64*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:22 PM and 6:25 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -29\/98?\nAnswer: -29\/98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence be when two letters picked without replacement from {a: 11, b: 4, e: 3}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 35 - 32 - 78\/22?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 273\/(-6)*20\/40 + 24. Let p be ((-1)\/(-4))\/((-9)\/(-12)). Which is the nearest to p?  (a) 3  (b) -0.1  (c) -22  (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -32412016 divided by 1582?\nAnswer: -20488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 38*f**2 + 4*f - 2. Let u be b(-6). Let l = -345 + u. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 19361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 21230928 divided by 116016\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6432 and 192.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -38 by -1.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g**3 + 7*g**2 + 11*g - 12. Let z be k(8). Let s = z - 4. Let h(l) = -18*l - 2. Let j be h(-5). Calculate the greatest common factor of s and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -52389 greater than or equal to -52284?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u - 64 = s, 5*s + u - 645272 = -645544 for s.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*q = 32*q + 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 280166739 to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -4, -5, -2\/13, -1\/4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (39\/(-72) - 72\/(-432))\/(-6)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.39 minus -55291535?\nAnswer: 55291532.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -3*l - l + 4*w, 4*l - 2*w + 6 = 0. Let f = -251\/14 - -18. Which is bigger: l or f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 8*j - 13. Let a be m(2). Let u be 2\/a*-3 + 16. Let v = 130 - u. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 2\/77 and -64871 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 2*n - 7. Let b be h(-7). What is the units digit of 20\/3 + 14\/b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 45441743?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-61)\/15 - 2) + 3\/5 and -79\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 999596*o = 999392*o - 12036 for o.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q**2 - 8*q - 27. Let h(p) = -p**2 - 9*p - 31. Determine -5*h(y) + 6*w(y).\nAnswer: -y**2 - 3*y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**2 - 408*u - 6272. Let a be s(-16). Factor 1\/3*t**4 + a - 2\/3*t + 3\/2*t**3 + 1\/2*t**2.\nAnswer: t*(t + 1)*(t + 4)*(2*t - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 p when two letters picked without replacement from {x: 4, m: 3, p: 7}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 17\/432575 and 31\/22627.\nAnswer: 7353775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 13.27 * -18858.\nAnswer: -250245.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 28*x - 31. Let u(k) = 9*k + 2. What is u(p(d))?\nAnswer: 252*d - 277","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.05 + 1.95. Let p = s + 1. Let g = p - 4. Do g and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4470\/13 + 344. Let k = -13 + 14. What is the third biggest value in 0.2, k, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 794 = -3*t + 7385. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2018, -2023, -2022, -2009, -1978?\nAnswer: -1923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 5*p - 124. Let v be g(24). Suppose -n = -1 + 4. Sort n, v, -2, -2\/11 in increasing order.\nAnswer: v, n, -2, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 124 - -11033?\nAnswer: 11201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -15\/51167567 or 1?\nAnswer: -15\/51167567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 588395411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*a + 3*a - 2*a)*(-6*a**2 + 2*a**2 + 2*a**2) - 14*a**3 + 66 - 66 - 33*a**3 + 19*a - 10*a - 8*a.\nAnswer: -43*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 16301, 32602, 48903, 65204?\nAnswer: 81505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*s - 4*s + 84. What is the remainder when (-117)\/195 + (-1096)\/(-10) is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0 - (9\/(-1) - 0). Suppose -34 = -3*r + 5*v, -3*r = -3*v + b - 33. Suppose r*x = 2*x + 2. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - 0) + (-3 - -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -2 and 7171444.7?\nAnswer: 7171446.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1197*j**2 + 3018*j.\nAnswer: 2394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -301 (base 12) to base 13\nAnswer: -274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**3 + 11*f**2 - 38*f + 49. Give x(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 297 + 155. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 125525301 + 10?\nAnswer: 125525311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -15*f**2 + 6*f - 3. Let s(g) = g**2 - g. Let c(n) = p(n) + 4*s(n). Let w be c(2). Let h = -24 - w. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1814002437 to four decimal places.\nAnswer: -0.1814","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1220122202222 + -10?\nAnswer: 1220122202212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 72, -277, -634, -993, -1348, -1693?\nAnswer: -2022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -10, 0, -4, 1 in increasing order.\nAnswer: -10, -5, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**2 - 6*s - 2. Let t be g(-5). Suppose t*a + 0*a - l = 56, 3*a - 5*l = 52. List the prime factors of a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*k = j - k + 7, 4*j - 58*k = -57*k - 28 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3594811?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 20.1589 + -20.06. Which is greater: j or -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.73 + 0.63. What is the closest to l in -0.3, 1.89, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.03 times 0.031\nAnswer: -0.00093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32586 = -2*s - y, -44*y = -2*s - 42*y + 32574. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2 + 2368\/(-2 + 3). Let f = -19035\/8 + s. Find the common denominator of f and 13\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.0128?  (a) 0.2  (b) -10  (c) -0.3  (d) 5  (e) -0.023\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4990979.4 rounded to the nearest one hundred thousand?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1\/110420761 - -173199982717\/4085568157. Let u = -1418\/33 + i. What is the common denominator of u and -65\/27?\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -1 - f + 12 + 2. Let u be t(0). Let v = u - 6. Calculate the remainder when 19 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l + 3*l + 47. Let s(b) = -4*b**2 + 3. Let q be s(-3). Let y = -21 - q. Calculate the remainder when l is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 9872, 19731, 29590, 39449, 49308?\n\"Answer: 9859*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -164 + -45 - (-25 + -71)?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*n**3 - 420*n**2 - 2725*n - 2310.\nAnswer: -5*(n + 1)*(n + 6)*(n + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 416 is divided by 36.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 97 = 37. Let u = z - -62. Let a be (-4 - 1)*(0 + -2 + -3). Solve 7*y - a = u*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 8551054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (37\/(370\/4))\/(119\/(-35)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -40 by -182.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = m - 3*m + 9, -3*u + 12 = m. Suppose -3 - 174 = -m*y. What are the prime factors of y?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -58715945*x**5 + 102115123*x**2?\nAnswer: -3522956700*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -5*r + 2829. Let u = 233 - r. What is u rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 149 + -105. Let a = k - 29. Solve 0 = -a*b + 20*b - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-10)\/340*4)\/((-2)\/(-2)))\/(-1)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -1*(sqrt(1331) + ((sqrt(1331) + sqrt(1331) + -2 + sqrt(1331) - sqrt(1331))**2*1 + sqrt(1331) - sqrt(1331))) + -3 + sqrt(1331) + 3 + 3.\nAnswer: -5326 + 88*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.0666 * -0.5.\nAnswer: -0.5333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -52*p. Let w(y) = 11*y**2 - 4*y - 341. Give w(k(f)).\nAnswer: 29744*f**2 + 208*f - 341","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(171) - 3*(sqrt(171) + 1)) + -1 + sqrt(171) + -1)*3)**2.\nAnswer: 270*sqrt(19) + 1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2090*s**2 + 3305 with respect to s.\nAnswer: -4180*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the second derivative of 7\/6*y**3 + 0 - 4*y**2 - 8*y. Let r be f(8). Calculate the greatest common factor of 12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49 = -4*f + 3*g, -g + 16 = 3*f - 37. Calculate the remainder when f is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00434414 rounded to four decimal places?\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 11 and 2440.\nAnswer: 26840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 71, 17, 5, -1, -7.\nAnswer: -7, -1, 5, 17, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 10616 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: What is the least common multiple of 3764760 and 24660?\nAnswer: 11294280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1683727.\nAnswer: 79, 21313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7558312 divided by 2.\nAnswer: 3779156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 19.4229 - -0.0071. Round m to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-250)\/200)\/(20\/(-24))*22\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 812561 is divided by 74.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 38779\/835 + -7\/167. Which is bigger: t or 45?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**2\/7 - 43170*j\/7 - 151614432\/7.\nAnswer: -3*(j + 6086)*(j + 8304)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((48\/(-40))\/2)\/((-18)\/(-96))?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do 1\/2425953 and -16 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d. Let t be v(-6). Is ((-9)\/t)\/(-3)*72 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -14 - -23. What is the highest common factor of 36 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3844288408 - -12.7?\nAnswer: 3844288420.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1\/53  (b) 0.6  (c) -1\/3  (d) -0.06  (e) -2\/19  (f) 4  (g) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 plus -348640?\nAnswer: -348639.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14611.5 + 14592.50069. Let b = k + 19. What is b rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3230 = -14*a + 29690. Suppose -6*n + 2364 = -a. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 118.4864 seconds to microseconds.\nAnswer: 118486400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39.3*-4.\nAnswer: -157.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 610 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 10 = -k, d + 2*k + 10 = 6*d. Let x be (-39)\/d + (-2)\/(-4). Is x\/((-1)\/(-2)*-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -23  (b) -0.3  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*f - 5*g + 17 = -13*f, g = 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -115 + 327 - o + 373 + 181 - o to m + k*o and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 174*t = p + 175*t - 2, -4*p = 138*t - 11 + 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.2488 - -1.1142. Let r = 0.003 - o. Let n = 0.06 + r. Round n to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 times -0.74?\nAnswer: -5.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/4, 0, 5 in ascending order.\nAnswer: -3\/4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 692 is divided by 173.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -2*s**3 + 2*s**2 - 3*s + 2. Let c be v(2). What are the prime factors of (-2)\/(-2 + 4) - c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that 3\/5*a**4 - 74606\/5 - 457\/5*a**3 + 18747\/5*a**2 - 99207\/5*a = 0.\nAnswer: -2\/3, 7, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-158 - -163) + (-31 - 2).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 37 - 35. Is ((-4197)\/6*1)\/((-1)\/o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7 + -3. Suppose 16 = 12*j - b*j. Let m(i) = -i**2 + 2*i - 3. Calculate m(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 5*q + 2*w - 26, 3*w + 21 = 4*q. Suppose g = q*g. Suppose 5*z + g*z = 50. Calculate the smallest common multiple of z and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7090321?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y = 5*y. Suppose h = -4*t - 2, h = -3*t - 410 + 408. Solve y = -x - t + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23978939 to the power of 1\/3, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f*f**(1\/2)*f**(-9)*f*(f*f\/f**0)**(-5\/12) assuming f is positive.\nAnswer: f**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*q**2 + 3*q**4 + 5*q**4 - q - 11*q**4 + 2 as s*q**4 + b*q + i*q**2 + w + x*q**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 18320041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 23025380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 513069?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 500525 to the power of 1\/2, to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1c30 + 39?\nAnswer: 1c69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-7498)\/978 + (-8)\/(-3). What is the closest to -2\/329 in 1\/4, d, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that 2*t**4\/17 + 14710*t**3\/17 - 14720*t**2\/17 - 58840*t\/17 + 58848\/17 = 0.\nAnswer: -7356, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((5*1*sqrt(117))\/((sqrt(9) + sqrt(576))*3))**2.\nAnswer: -325\/243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqqt when four letters picked without replacement from {t: 2, q: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2.488 and -6840.000433.\nAnswer: -6837.512433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 1002121330 (base 4) to base 13\nAnswer: 96a5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -13*c**2 + 2*c - 1. Let h be 6\/(-24) + 0 + 1\/4. Let v be 3 + 1 + -3 + 0 + h. Determine f(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**3 - 10*o**2 + 2*o - 7. Let r be h(10). Let j = r - 4. Suppose 3*y + 3*k + 0*k = j, 3*k - 10 = -2*y. What is the closest to 0.2 in 2, -0.1, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -20 - -20.9. Let n = i - 0.96. What is n rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 14) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (30\/15)\/(-1 + 3)*3. Let h(r) = -r**3 - 8*r**2 - 9*r - 7. Let u be h(-6). Let w = u - -27. Solve 0 = -w*d - z - 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 30 = 4*x, 3 = 2*x + 5*k - 12. Let a(u) = u**3 - u**2 - 2 - u + 8*u**2 - 2*u**2. What is a(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 4, c: 5, k: 1, m: 3}. What is prob of sequence qq?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the second derivative of y**5\/20 + y**4\/2 - y**3\/3 + 3*y - 5. Give t(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-33)\/(-45) + 2\/(-5). Let o = 3 - 2. Let i be (-4)\/8 + o\/(-2). Which is the second biggest value?  (a) x  (b) 0  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.00259 - 0.5.\nAnswer: -0.50259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*h**2 - 2 + 2 + (-5 + 0 + 4)*(0*h**2 - h**2 + 4*h**2) - 2*h - 2*h**2 + 2*h.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2914920 and 13824.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - n = -5, 3*n + 10 = -5. Suppose u*y + 58 = 4*y. Suppose -b - 8 = -3*b. Solve -b*v = 5*l - y, -5*l + 33 = 3*v + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -14*y**2 - 14*y + 6. Let m(f) = -5*f**2 - 5*f + 2. Let c(d) = -d - 15. Let x be c(-23). What is x*m(q) - 3*k(q)?\nAnswer: 2*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 1349 = -2031. Let w = j + -649. Does 2 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.2 and -978326?\nAnswer: 978325.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7658306*a**2*x + 16216*a*x + 2*a + 12*x - 1 wrt a?\nAnswer: -15316612*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -348 divided by -116.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -348735705 divided by 69747141?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 53 = -5*o, -4*o = -q - 5*o - 59. Is -58 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 392 = 4*f, 21*f = 18*f - 2*j + 295. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g + 5*q - 18, 2*g - 4*q = 5*g - 22. Suppose 4 = -0*a + g*a, 0 = 3*m - a + 2. Put m, 4, -5 in decreasing order.\nAnswer: 4, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -252 + 257. Let i(a) = a**3 - 3*a**2 - 8*a - 6. Let z be i(g). Solve -3*y - 4*q - z = -y, 5*q = 4*y - 18 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 4*i = 0. Suppose i*s = 2*s - 20. Let b be (s\/(-4) - -2)*-28. What is the highest common divisor of b and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 1, h: 2, m: 1, y: 1, r: 1, n: 1}. What is prob of picking 1 m, 1 z, and 1 y?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 13070749357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -7*m - 1. Suppose 4 = 2*l + 3*w + 18, 0 = -w - 4. What is s(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*q + 16*q + 20*q = 108 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 90*i**3 + 72*i**2?\nAnswer: 540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3946 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5489960650?\nAnswer: 2, 5, 4549, 24137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 2 = 2*z. Let n(g) = -1 - 1 + z*g**3 - 1 + 3*g**2 - 6*g - g**3. Let o be n(-4). Solve -o = 2*h + 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 6 + l**2 - 12 + 51*l**3 + 6 as u + n*l**2 + j*l**3 + g*l and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1034581 - -17428. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -3*a - 2*a - 12 + 5. List the prime factors of y(-10).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**3 + 20*a**2 - 1. Suppose 32*y - 18*y + 504 = 0. Let c be (y\/(-10) - 4)\/((-14)\/700). Determine i(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 133072 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 + -3. Suppose -5*k - 4*r - 150000 = 0, o*k - 9*k - 3*r - 150000 = 0. What is k 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 d23e (base 15) in base 5?\nAnswer: 2410014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**2 - 9*q - 8. Let f be l(-7). Let d(c) = c - 3. Let v be d(f). What is the first derivative of v + 4*g + 0*g + 0 wrt g?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 0.081, -3, -1\/2, 4?\nAnswer: 0.081","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:00 PM and 2:54 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 225 and 165873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -57, -210, -465, -822?\n\"Answer: -51*i**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -17 + 16.57. Let k = -0.07 + p. Let d be (3\/2)\/((-276)\/16). What is the smallest value in 2\/5, k, d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 3*k**3 - 9*k**2 - 2*k. Let d(c) = -3*c**3 + c + 2*c**3 + 5*c**2 - 9*c**2 + 5*c**2. Give -2*d(b) - t(b).\nAnswer: -b**3 + 7*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 113 at least 115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12240 is divided by 383?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1251 - -157?\nAnswer: 13a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6183 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -3*r - 44. Let u be n(-13). Which is the nearest to -1\/2?  (a) 3  (b) -0.2  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 797609694 to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -47 - -100. Let n(a) = -7*a + 1. Let h be n(1). Let r be i + -1 - h\/3. Calculate the greatest common factor of r and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 275, 1073, 2409, 4289, 6719, 9705, 13253?\n\"Answer: v**3 + 263*v**2 + 2*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 2*b + 160 = 0. Calculate the highest common divisor of 20 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j + 45 = -8*m, 11*j - 13 = 14*j + 2*m for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(720)\/(sqrt(48)\/sqrt(4)))\/(4*(sqrt(192) - (sqrt(192)*1 + sqrt(192)) - sqrt(192))).\nAnswer: 5*sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -1. Let l(c) = c**2 + c + 130. Determine l(f) - 2*p(f).\nAnswer: f**2 + f + 132","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 361 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 4*h + 189 = -9*h, 8 = -4*h. What is the least common multiple of u and 35\/4 - 3*3\/(-36)?\nAnswer: 1611","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 - -166?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*w**4 - 2*w**5 - 2*w**4 + (3 + 2*w**3 - 3)*(-w**2 + 1 - 1) + 2*w**2 - 2*w**5 - 2*w**2 - 2*w**5 - w**4 + w**4 + 2*w**2 - 8*w**5 - 2*w**2.\nAnswer: -16*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 39437.51 centimeters in meters?\nAnswer: 394.3751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.2 - 0.1. Let o = 33 + -37. What is the closest to 3\/5 in -2\/3, o, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 22*t + 3471. What are the prime factors of w(-131)?\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*n = 19*n - 329. Let z = -1139 - -1320. What is the remainder when z is divided by n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 935924*b**2*d**3 + 2511*b**2*d + 108*b**2 + 2*b - 35*d**3 - 5*d wrt d?\nAnswer: 5615544*b**2*d - 210*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -193\/6900 and -121\/1150.\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 26*l**2 - l**3 + 3*l**4 + 771 - 1536 + 765 in the form n*l**2 + s*l + x*l**3 + u*l**4 + g and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.11 - 5.11. Let q = -1266.995 + -0.005. Let x = q + 1263. Sort x, l, 1.\nAnswer: l, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/18)\/(1\/(-90)*6)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*z + 117638 = -61926. Is -3389 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 19752*z - 22398.\nAnswer: 19752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 11030980 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 92*l + 1. Let j be u(2). Suppose 3*g - j = 8*g. What is the tens digit of -3 + 2\/((-2)\/g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -51 + 0 - (-383 - -361) - (-7 + (-2 - -1)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -3, -4, -7, -24969, 5 in decreasing order.\nAnswer: 5, -2, -3, -4, -7, -24969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 256 divide 5757184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c - 5*c + 8*c + 2*c + 10. Let x(t) = -2*t - 3. Let d be 2 + (1 + -1)\/(-3). Give d*q(u) + 7*x(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14042 (base 11) to base 3.\nAnswer: 1000110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5997, 12008, 18019?\nAnswer: 24030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:10 AM and 11:34 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1643020*q**4 + 929636*q**2 - 2*q wrt q?\nAnswer: -39432480*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 904.109us to milliseconds.\nAnswer: 0.904109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5 + 29304a?\nAnswer: 293045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.1119336 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pnn when three letters picked without replacement from inppnpppinn.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -92868620 divided by -420220?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(1\/11))**(-47) assuming c is positive.\nAnswer: c**(-47\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -117002, -233897, -350794, -467693?\nAnswer: -584594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange (32 + 1142 - 430)*(-5*l - 3*l + 5*l) to the form g + j*l and give j.\nAnswer: -2232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -435*m**2 + 331*m - 3. Let r(k) = -438*k**2 + 330*k - 4. Let l(j) = -4*c(j) + 3*r(j). Find the second derivative of l(z) wrt z.\nAnswer: 852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19888353629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -78*s - 1555. Give u(-12).\nAnswer: -619","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = 2*a - 4083, 0 = 2*j - 0*j - 3*a - 2709. Suppose -4*u = -12, 2*u + j = 5*i + 55. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 287 + -276. Suppose 4*s = -i - 16, 15 = -4*s + s. What is the remainder when q is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 203 - 131. Suppose -m = 11*i - 14*i. Let a be (-3 - i\/(-9)) + (-3)\/(-9). Sort -3, 12, a, 3 in descending order.\nAnswer: 12, 3, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 5 + 2*m - 3*m)*(m + 8*m - m)*(3*m**3 + 0*m**3 - 4*m**3).\nAnswer: 8*m**5 - 16*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -2*x - 12. Suppose x*i - 37 = 6*i - 3*j, 5*i + 5*j + 30 = 0. Let s = 16 + i. Solve 3*o = -s*r + 12, 4*r - 8 = -3*o + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a - 3 + 3)*(1 - 3 + 4) - 3282*a - 629*a - 602*a.\nAnswer: -4511*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 3*c**3 - 4*c**2 + 2*c - 3. Let j be a(3). Let p = -11 - -17. What is the highest common divisor of p and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.824373 millennia in decades?\nAnswer: 182.4373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*u**2 + 2*u**2 + 3*u**2)*(-2*u - 17*u + 8*u) + 2*u**2 - 8*u**2 + 7*u**2 - 5*u**3 + 2 + u.\nAnswer: -27*u**3 + u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-18 + 4 - 5)*(-4 + 4 + 2*q)*(3 + 0 - 1) - 4*q + 4*q - q.\nAnswer: -77*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1208.9 + 1208.6. Sort 23\/3, u, -7\/5 in ascending order.\nAnswer: -7\/5, u, 23\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -5, -392 in descending order.\nAnswer: -1, -5, -392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 810 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -313\/4, 1\/2, -19 in descending order.\nAnswer: 1\/2, -19, -313\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**5\/((p**(-2\/139)*p)\/p)*p**(-24)\/p**(-3\/20) assuming p is positive.\nAnswer: p**(-52363\/2780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 9, y: 2}. What is prob of sequence yiii?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -11*y**3 + 5*y**2 + 18*y + 36. Let l(p) = p**3 - p**2 - p - 4. Calculate -h(x) - 9*l(x).\nAnswer: 2*x**3 + 4*x**2 - 9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:07 PM and 7:10 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-23 + -5)\/(-1*2). Let l be 115\/7 - 6\/y. Let v = l - 28. Let g(n) = -4*n - 6. Let p(h) = h + 1. What is v*p(q) - 2*g(q)?\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -120198.7 rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1621086 to the power of 1\/2, to the nearest integer?\nAnswer: 1273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (285 + (-487863)\/1710)*(-320)\/66\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1703 - 1575. What is the remainder when i is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the third derivative of -r**8\/28 - r**5\/60 - 11*r**3\/3 - 114*r**2. What is the third derivative of o(v) wrt v?\nAnswer: -720*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -36809.7133 to the nearest 100.\nAnswer: -36800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 7*b**2 - 3179*b + 25572. What is r(8)?\nAnswer: 588","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*f**4 + 2487*f**3 + 1875*f**2 - 624*f = 0.\nAnswer: -1, 0, 1\/4, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -27, -13, 11, 51, 113?\n\"Answer: o**3 - o**2 + 10*o - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*z**2 - 5878*z + 2903*z + 2975*z.\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 0 - 4)*(m**4 + 3*m**4 - 2*m**4) + m - m**4 - m + (-2*m**3 + m - m)*(0*m + 3*m - 4*m) to y*m**4 + h*m**3 + t*m**2 + k + z*m and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 40 - 121\/3. Let v = -3 + 1. Let d = 72 + -72.1. What is the nearest to b in d, v, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 7*u**2 + 6*u**2 - 18*u**2 - 6*u + 7*u**2. Let a be i(3). Find the second derivative of 2*o**5 + a*o**5 + o**5 - 2*o**5 - 2*o wrt o.\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + -1 + 3 + 4 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -19, 5, 6, 1, -3, -510 in descending order.\nAnswer: 6, 5, 1, -3, -19, -510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 47492 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 3*q. Let c(w) = 86*w**2. Give c(b(r)).\nAnswer: 774*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -7171+-2083364\nAnswer: -2090535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*g**4 - 14*g**4 - 6*g**4 + (32*g**4 - 38*g**4 - 15*g**4)*(-3 + 3 - 1).\nAnswer: -5*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -24*o - 81. Let u(d) = -140*d - 470. Let k(p) = -5*u(p) + 29*v(p). Let t be 3 + (1\/(-1) - 0). What is k(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 16 = n + 22, 5*i + 74 = n. Let o = 54275\/8 - 6776. Calculate the common denominator of 556\/420 + (-2)\/i and o.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 966241 divided by -1\nAnswer: -966241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**3 - 17*u**2 + 10*u - 21. What are the prime factors of q(-18)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*v**4\/9 + 52*v**3\/9 + 56*v**2\/9.\nAnswer: -4*v**2*(v - 14)*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -895513 (base 10) in base 12?\nAnswer: -3722a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -356905, -713771, -1070637, -1427503?\nAnswer: -1784369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -4*(99\/(-6))\/11*-1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 4*z + 21. Suppose 5*q + 190 = -230. Let u be (z + q)*2\/(-4). Calculate the highest common factor of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p + 4*g = 58, -p + 77175*g = 77539*g + 1078 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**2. Let l(q) = -208351*q**2. Determine l(t(f)).\nAnswer: -208351*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 203318, 406635, 609950, 813263, 1016574, 1219883, 1423190?\nAnswer: 1626495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -57.724 - -58. Let x = -64423697 + 64423697.27600129. Let z = x - f. Round z to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**2 - 9*h + 2. Calculate the least common multiple of r(-8) and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2004*f - 594 = 2001*f. Calculate the greatest common factor of 286 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) 32  (b) -5  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 - 2. Calculate the remainder when 14 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Is 5384449 a multiple of 469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (55\/((-55)\/18))\/((-8)\/(-4))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -535*f + 432*f - 515 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1382 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: Expand (2 + l**3 - 2)*(-8 - 15 - 8).\nAnswer: -31*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**(-5\/8)\/h*h*h)\/h*h*h**(-26) assuming h is positive.\nAnswer: h**(-197\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.46416l in millilitres?\nAnswer: 5464.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p**3 - p**2 + p. Let m(v) = -3*v**3 - 8*v**2 - 13*v - 17. Let l(s) = m(s) + 4*y(s). Is l(13) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s - 3*h + 9, s = 3*s - 4*h - 18. Let g(w) = 3*w + 5. Let t be g(-4). Let l = s + t. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/3  (b) 1  (c) -12.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 58477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*h**6 - 2*h**5 - 7*h**2 - 12*h wrt h?\nAnswer: -600*h**3 - 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 55\/20212 and 3\/38?\nAnswer: 384028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6 in -0.3, 1, 18?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -31043242 (base 5) in base 8?\nAnswer: -756023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/55)\/(126\/315) + (-23)\/(-44)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 69428, 138827, 208226, 277625, 347024, 416423?\n\"Answer: 69399*j + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*z**2\/11 + 4178*z = 0. What is z?\nAnswer: -22979, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q - 748 = 2*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 54.58532 milligrams?\nAnswer: 54585320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((((sqrt(2) - 2*sqrt(2)) + sqrt(2))**2 - sqrt(2)) + 4 - sqrt(2)) + -5.\nAnswer: -29 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + c = 11, -2*b + c - 12 = -4. Let d(s) = -7*s - 2. Give d(b).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-12980)\/2520)\/((-82)\/(-3)) + (-2)\/(-8) and -25\/126.\nAnswer: 5166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:06 PM and 9:38 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.28 and 652.43?\nAnswer: -182.6804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 + 2. Suppose 0 = -p + 2 - y. Let t be (9 - 2) + -2 + -1. Sort t, p, -5.\nAnswer: -5, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 140427.63 minutes in weeks?\nAnswer: 13.9313125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6.6 - 25.5. Let r = -36.83 - t. Let w = 0.27 - r. What is the smallest value in w, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 158 + -105. Let d = -623 + 643. What is the remainder when y is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -195727.9 to the nearest ten thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -2*w**3 - 66*w**2 - 62*w + 63. Give s(-32).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**2 - 5*q - 3. Let j be g(-5). Let s(x) = -x + 37. Calculate the remainder when s(0) is divided by (-212)\/(-16) - j\/(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0.4, 5, -0.3, 963, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 630, 2495, 5618, 10005, 15662, 22595?\n\"Answer: j**3 + 623*j**2 - 11*j + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 - 4. Let z be (5\/c)\/(1\/(-5)). What is the greatest common factor of 45 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 3 - 2)*(-1850*y - 2 + 21138*y + 18484*y)*(2*y + 3*y - 6*y) as c + g*y + m*y**2 and give m.\nAnswer: -75544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 313059743 to the power of 1\/2, to the nearest integer?\nAnswer: 17693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 115\/110154 and -7\/193604.\nAnswer: 6388932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes after 4:00 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.12 - -0.2. Let t = o + 0.02. Let i = t - -0.9. Which is the nearest to i?  (a) 1  (b) -2  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-1\/4)\/p)**(-2\/81))**(2\/3)\/((p*p*p**1)**(-49)*p\/((p**6*p)\/p)*p*p**4) assuming p is positive.\nAnswer: p**(35726\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 13201, 39888, 84367, 146638?\n\"Answer: 8896*p**2 - p + 4306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2334454 to the power of 1\/3, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0 - -2)*(-40)\/(-320)*-20. Let y(v) = -2*v**3 + 4*v**2 - 3*v - 4. Let d(r) = 2*r**3 - 5*r**2 + 3*r + 5. Let t = -1 - 3. What is p*y(u) + t*d(u)?\nAnswer: 2*u**3 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 54383 take away -3134400?\nAnswer: 3188783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 342, 2277 in decreasing order.\nAnswer: 2277, 342, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:18 PM and 7:04 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 4*o + 18 + 1 - 2*o - 39. Suppose 39 = -12*c + 183. Calculate t(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/118 and 67\/93.\nAnswer: 10974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -6577996, -6577995, -6577994, -6577993?\n\"Answer: o - 6577997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 29\/2 of a millimeter?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -53 + 56. Which is smaller: b or 20\/11?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 281*b - 3360 = 12. Does -177 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -168.95 + 164. Let z = 3 + -2.95. Let q = l - z. Which is the nearest to 0.1?  (a) 4  (b) q  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the second derivative of b**6\/210 - b**5\/14 - 11*b**4\/84 + 139*b. Find i such that v(i) = 0.\nAnswer: -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gggggwggwg. Give prob of sequence wgw.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -4*z**4\/7 - 620*z**3\/7 - 608*z**2\/7 + 176*z = 0.\nAnswer: -154, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (12*c + 79 - 79)*(0 + 3 - 5)*(c - 2*c - c) to the form n*c + j*c**2 + r and give j.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -4 + -117 - (5982 + -6004)\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4100010336558 + -0.5.\nAnswer: -4100010336558.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -3117, -993, 2545, 7497, 13863, 21643?\n\"Answer: 707*t**2 + 3*t - 3827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 6 = 2. Suppose 24 = -4*y + 3*w, -y + c*w = 1 + 5. Calculate the common denominator of -31\/6 and ((-34)\/12)\/(y\/(-4)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/217 and -29\/310.\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 9*s**3 + 2*s**2 - 2*s - 2. Let y(l) be the first derivative of -343\/4*l**4 + 77*l + 77\/2*l**2 - 77\/3*l**3 - 112. What is 77*g(r) + 2*y(r)?\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -5 times -988\nAnswer: 4940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**2 - 7*c - 20. Is 2 a factor of m(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -8.703657 and 18.\nAnswer: 9.296343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 672 and 11487.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(91)\/(sqrt(14)\/sqrt(2)) + (sqrt(13) + -3)*-4 - (-1 + 5 + sqrt(26)\/sqrt(2))*-6)**2.\nAnswer: -7065 - 1080*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 3*r - 2*v + 1, r - 8 = 2*v. Let k = -254 + 270. Suppose -k = 86*c - 94*c. Solve c*f + 5 = -3*t, -r*f + 45 = -0*f - 5*t for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -20*y - 1. Let p(r) = -10839*r. Give p(b(c)).\nAnswer: 216780*c + 10839","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*n**3 - 220*n**2 - 2700*n.\nAnswer: 5*n*(n - 54)*(n + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the second derivative of -s**5\/20 + 8*s**3\/3 - 5*s**2\/2 - s + 40. Determine m(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 179212531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*i + 2*i - i)*(419*i - 16 - 213*i - 207*i).\nAnswer: 2*i**2 + 32*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, -20, 2\/7, 56363\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 122019802.\nAnswer: 2, 47, 223, 5821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -2\/5, -3\/8, 0.0894 in descending order.\nAnswer: 0.0894, -3\/8, -2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 434.266 meters in nanometers?\nAnswer: 434266000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 100 is divided by 91.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.03 - -2.03. Let u = h - 2.5. Suppose -2*o - 41 = 5*s - 6, -2*o - s = 15. What is the closest to -0.1 in u, o, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the first derivative of q**2\/2 + 4*q + 2. Let s be g(0). Let o be 2\/s - 3\/6. Is 0.2 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:56 PM and 5:15 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -5*g + 26, 15 = 2*j + 2*g - g. Suppose 2*l = j*l. Let s = 3 + -2.6. Sort s, 4, l.\nAnswer: l, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1*(3 + -1))\/(-1). List the prime factors of (f\/4)\/(4\/152).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is r in -3*r**3 + 300*r**2 + 196116*r + 14035392 = 0?\nAnswer: -118, 336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from hfhoiiihfoofiiwhhw?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let -7*x**4\/3 + 3993*x**3 - 27292*x**2\/3 - 29628*x + 27344\/3 = 0. What is x?\nAnswer: -2, 2\/7, 4, 1709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 246 - 225. Calculate the greatest common factor of 6 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1586, -1596, -1610, -1628?\n\"Answer: -2*l**2 - 4*l - 1580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkz when three letters picked without replacement from {k: 1, g: 1, d: 1, z: 3, n: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:31 AM and 11:38 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -10*(-3 - 10\/(-4)). Let p be 0 + -2 + k - -150. Calculate the highest common factor of 17 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -358, -1440, -3230, -5716, -8886?\n\"Answer: 2*m**3 - 366*m**2 + 2*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 5 = -2*q, -3*q = 3*m - 4 - 5. Suppose y = q*y - 12. Solve 0 = -s + 3*f - 11, y*s + 1 = 3*s - 2*f for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56769 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -25.430851 rounded to 2 decimal places?\nAnswer: -25.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out 17 - 560.\nAnswer: -543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 351244.\nAnswer: 2, 87811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1223, 2876, 4487, 6050, 7559?\n\"Answer: -w**3 - 15*w**2 + 1705*w - 466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 134161265 a multiple of 472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 4*l - 2972 = -14904, a + 3*l - 2989 = 0. Round a to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3354 or 1?\nAnswer: 3354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 2*1 + (-36)\/12\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the first derivative of q**4\/4 - 2*q**3\/3 + 8*q**2 - 42*q - 217. Let x be i(3). Solve -2*a + 5*s = 3*a - x, 8 = 3*a - 2*s for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 417 = 5*q, -578 = -3*f - 0*q - 2*q. Does 28 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -183*u**3 + 895*u**2 + 73*u + 4. Give f(5).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 859, 1764, 2655, 3538, 4419, 5304, 6199, 7110?\n\"Answer: u**3 - 13*u**2 + 937*u - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -71*d - 36*d - 2129*d**2 - 23*d - 570*d + 2133*d**2 + 696.\nAnswer: 4*(d - 174)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 + 12 = -5*j. Let d be -2 + j\/(-3) - 30\/(-45). Suppose 5*g + 5 = -d*g. Put g, -3, -0.2, -0.3 in descending order.\nAnswer: -0.2, -0.3, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 4 - 6 + 0*q**2 + 1 - 4*q**2 to the form b + h*q**2 + y*q and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 24\/4852109 or -1?\nAnswer: 24\/4852109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 + 154?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 69*l**2 + 32*l - 98. Does 14 divide u(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 - (-1 + 0) - 2. Suppose 5*v = -4*a - i*a + 272, -v + 58 = -a. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*c - 6*c + 2*c)*(2*c - 4*c + 4*c)*(0*c**3 + 0*c**3 - 2*c**3).\nAnswer: 4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -422912, -1691548, -3805940, -6766088, -10571992?\n\"Answer: -422878*s**2 - 2*s - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 620 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 100 and 160.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 277, 285, 269, 217, 117, -43?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-114)\/6 + (0 - -4) + -7. Let j(s) = -s**2 - 24*s - 47. What is j(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 1414*d**2 + 43*d + 1. What is the tens digit of j(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**22*n**(-24\/5))\/(n\/((n*n*n*(n\/((n\/(n*(n*n**(-2\/17))\/n))\/n))\/n)\/n)*n*(n*(n**(-1\/40)*n*n*n)\/n*n*n*n)\/n*n*n) assuming n is positive.\nAnswer: n**(7553\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-4\/5)\/k**(-5))**13\/(((k\/(k*k\/(k\/(k*k**0))*k))\/k)\/k**(-6)*k**(-6)\/k**6) assuming k is positive.\nAnswer: k**(318\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**3 + 10*s**2 + 11*s - 12. Let k be l(11). Let n = k - -50. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 374 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1843, 3432, 6083, 9796, 14571, 20408?\n\"Answer: 531*q**2 - 4*q + 1316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (16 + -51 - -15) + 34 - 151\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2198 and 214462?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1509 + 15*x**2 - 26*x + 756 + 752 to r*x + i + y*x**2 and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - (-1 - -5)) + 8 - (-120 - -164 - 9).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = k + 4*k + 5*m, 0 = 3*k + m - 18. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**4*q**5*q*q**(-2)*q\/(q**4\/q)*q assuming q is positive.\nAnswer: q**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes after 11:30 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 6*f**2 + 2*f - 1. Suppose 3*m - 15 = -2*m, 0 = -2*p + m + 29. Calculate the remainder when n(-3) is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*v + 4*v - 7. Is 5 + v + 2 + 2 + 1085 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 7616040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3026 is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 - -9. Let z = 0.2441 + -0.7441. Sort -2, -2\/19, z, f in increasing order.\nAnswer: -2, z, -2\/19, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 41784860 to the nearest integer?\nAnswer: 6464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -29.2976815 to one decimal place.\nAnswer: -29.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -5*l**2 + 9*l. Let j(r) = -3*r**2 + 6*r. Let i(f) = 8*j(f) - 5*p(f). Is i(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7071 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2206 and 30.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - 5 - (36 - (62 + 34 - -30)).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 - 2 - (1 + -4 + -3) - 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the second derivative of -31*k**3\/6 + 5*k**2\/2 - 2*k. Is y(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 143 - -2045021?\nAnswer: 2045164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:03 PM and 2:24 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -7*k - k**2 + 7 + 2*k**2 - 2*k**2. Give o(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 0, -5, -4, -15.\nAnswer: -15, -5, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 7*o**2 + 396*o - 81. Let y be n(-57). Calculate the highest common factor of y and 6945.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + 2 + sqrt(1900))*5)**2 - -6*sqrt(1900)*1*-3.\nAnswer: 820*sqrt(19) + 47600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*m**5 + 0*m**5 - 3*m**5 - m**5 + 0*m**5 + 3*m**5 + (-4 - 2*m + 4)*(-4*m**3 + 4*m**3 + 2*m**4) - 228*m**5 + 140*m**5 + 255*m**5.\nAnswer: 164*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**3 - 2*l**2 + 2*l - 4. Let m be u(2). Which is the nearest to 0.3?  (a) -1  (b) 1  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -238, -237, -236, -235, -234, -233?\n\"Answer: m - 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1604.167 rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*n + 3984 = -252. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 552*v**4*x - 154157*v**4 - 24653*v*x + 5*v + 386*x wrt v?\nAnswer: 6624*v**2*x - 1849884*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*y + 10*y = -30. Let w = 19 - 19. Which is the nearest to w?  (a) y  (b) -1  (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 398 minutes before 7:05 PM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l + 0*l + 3*l + (0*l + 0*l - 2*l)*(2 - 1 + 1))*(-3*l + 5*l + 0*l) + 1 - 1 + 2*l**2 + (3 - 4 + 0)*(4*l**2 + 3*l**2 - 6*l**2).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -292 * -0.14\nAnswer: 40.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 + 1200?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -5*j - 58, -5*i + j + 45 = 3*j. Suppose -i*b + 10*b - 6 = 0. Suppose 0*d + 12 = -d. Which is smaller: d or b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the third derivative of f**5\/60 - 135*f**2. Let r(s) = -63*s**2. Determine r(a(w)).\nAnswer: -63*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in 1\/3, -4, 4, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 21 - 10. Let c be 18\/2 - (z + -8). Suppose -12 = -12*o + c*o. Solve 3*s + 0*k + 4*k = -7, -o*s + 4*k + 2 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1104596 is divided by 478.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 60*c**3 + 8*c**2 - 3*c - 3. Let j(f) = 40*f**3 + 5*f**2 - 2*f - 2. Let a(h) = -8*j(h) + 5*z(h). Calculate the least common multiple of a(-1) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1182 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: Put -4, -2\/13, 0.5, -5743, 0.015 in increasing order.\nAnswer: -5743, -4, -2\/13, 0.015, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2376 = 2*x + 2*d - 5*d, -3*x + 5*d = -3565. Suppose -4*c - 273 + x = 0. Suppose u = -b - 0*b + c, -2*b + 5*u = -421. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of -3441*(-4)\/(-8)*(7 - 25 - 12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) 1\/6  (b) -5  (c) 79  (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-2)*(((f*f\/((f**19*f)\/f))\/f)\/f)\/f)\/(((f\/(f*f*f*f*f**7*f)*f)\/f)\/f*f**(-2\/7)) assuming f is positive.\nAnswer: f**(-68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the first derivative of 2*q**3\/3 - q**2 + 5*q - 414. What is h(5)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 170884 and 644.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12592, 12564, 12522, 12466?\nAnswer: 12396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -14044026 (base 10) in base 5?\nAnswer: -12043402101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o + 25 = 3*m + 1, -2*m = -3*o - 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/714 and -139\/336.\nAnswer: 5712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + -4 + (sqrt(192) - -6*sqrt(192)*5)*6)*5)**2.\nAnswer: 74400*sqrt(3) + 166060825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 5*w**2 - 2*w. Let d(l) = 21*l**2 - l + 1. Let g(k) = -d(k) + 4*r(k). Let o(t) = -2*t - 5. Let f be o(0). Give g(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22874553 divided by 118521?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -266*d**3 + 262*d**2 wrt d?\nAnswer: -1596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -108, 2, 1, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -197202 greater than or equal to -197202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 16) to base 14.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-35)\/(w**(-24\/7)*w) assuming w is positive.\nAnswer: w**(-228\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 2*m = -254, 2*p + 5*m + 79 = 3*p. Let y = -82 + p. What is the first derivative of 96*h**y + 23 + 4 - 109*h**2 wrt h?\nAnswer: -26*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 46662 and 199584.\nAnswer: 20157984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -5*d - 40, -150*d + 5 = -152*d - q. Let i(j) = 27*j + 3. Let r(h) = 53*h + 5. What is d*i(b) + 3*r(b)?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-2)*(i**(-7)\/i)\/i)\/((i*i**6\/i*i)\/i*i)**(1\/16))**37 assuming i is positive.\nAnswer: i**(-6771\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -87*r + 135 + 249 + 573 = 0 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1000*a**3*y**2 - 2*a**3 - 4*a**2*y**2 + 3973 wrt y.\nAnswer: -2000*a**3*y - 8*a**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 40 + -122\/3. Let d = 29 + -38.7. Let h = d + 9.9. What is the closest to 0 in h, c, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 1390590136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the first derivative of -7*m**3\/3 - 4*m - 2. Differentiate i(c) with respect to c.\nAnswer: -14*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*u**3 - 1919*u + 1919*u.\nAnswer: -32*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 4 = 0, 7*f + 33227 = 6*f + 4*p. Round f to the nearest one thousand.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 202001121 (base 3) to base 16\nAnswer: 391f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 18*a**2. Let m(l) = -l. Calculate m(d(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 5, -30, 2 in ascending order.\nAnswer: -30, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c + 2. Let g(j) = 2*j + 3. Let f = -8 + 2. Let y be (-4)\/(-12)*0\/(-1). Suppose 3*d + y*d = 12. What is d*g(z) + f*s(z)?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3.826 - 2.53.\nAnswer: -6.356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -409, -271, -131, 5, 131, 241, 329?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 30 + 83. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:02 AM and 8:54 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 5*c**2 - 125*c + 105. Give x(24).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 21*i**2 - 20*i**2 + 14 + 24 + 7*i - i + 8 as z*i + g + n*i**2 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 3*n = -21, -5*n - 28 = 5*p - 3*n. Let q = 234 - 18. Let d = q + -211. What is the second smallest value in d, 3\/5, p?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 97871 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -760*228\nAnswer: -173280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 637 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-176)\/(-40))\/((-6)\/(-15)). Suppose 2*o = 15 + b. Calculate the highest common factor of 26 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4.445 - -2.94. Let x = u - -1.2. What is x rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1748475?\nAnswer: 3, 5, 19, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**3 + 4*g**2 + 2*g + 2. Let u be y(-3). Which is the fourth biggest value?  (a) -2\/19  (b) u  (c) 1\/4  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/(175\/10)*10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 94461 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**3 - 34*q**2 + 899*q - 27160. Give m(32).\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 5 = -2*k, -k - 2 = r - 5*r. What is the third derivative of -w**3 - 4*w - w**k + 4*w wrt w?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0230879*5\nAnswer: -0.1154395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) -30402  (b) 0  (c) -2  (d) 2  (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3851995*c**6 + 38*c**2 - 1800*c - 5 wrt c.\nAnswer: 462239400*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 + 0. Let b = -0.464 - 0.136. Let z = b + f. What is the third biggest value in z, -3\/2, 0?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 25636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 38*l**5 - 1375*l**2 + 1375*l**2 + (2*l - 5*l + l)*(5*l**3 - 5*l**3 + l**4).\nAnswer: 36*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 111 and 47667.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -5, 116, 70, 14, -7 in ascending order.\nAnswer: -7, -5, -4, 14, 70, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 503, 783, 1035, 1247, 1407, 1503, 1523?\n\"Answer: -2*l**3 - 2*l**2 + 300*l + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 160508.746 take away 1?\nAnswer: 160507.746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.0556 and 2.\nAnswer: 0.1112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -1617.9468 times 0.4\nAnswer: -647.17872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -16, -9, 373 in ascending order.\nAnswer: -16, -9, -5, 373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12*q**5 - 39*q**4 + 9*q**3.\nAnswer: 3*q**3*(q - 3)*(4*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -8453.\nAnswer: -1\/8453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*p**3 - 38 + 0*p**3 + 58 - 20.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**3 + 7*s**2 - 4*s - 5. Let u(n) = -4*n**2 + 15*n + 10. Let b be u(4). Determine q(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 3 = 0, -p - 117 - 255 = -5*n. What is the remainder when n is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 174663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 301*z - 27990. What is t(93)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (107 - 98) + (-1 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -58*g - 180*g + 44*g + (2 - 4 + 0)*(-2 + 2 - g) + 2 + 2*g - 2 - g + 5*g - 2*g + 0 - g + 0 + (2 + 1 - 5)*(g - g + 2*g) in the form w + v*g and give v.\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -42 (base 5) to base 10\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qzqeqezzzqq. What is prob of sequence qez?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w + 280 = -7*q, 21*q - 24*q + 181 = 4*w for w.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g - 190 + 20. Let w be 1 - (-3 - (3 - g)). Sort 3, w, 0, 4 in increasing order.\nAnswer: w, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 272*m + 171*m - 10189 = 0. Solve 0 = -31*v + m*v - 16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(70)\/(sqrt(270)\/sqrt(3))*2.\nAnswer: 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**2\/3 + 123943*k\/3 - 6566170\/3.\nAnswer: -(k - 123890)*(k - 53)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 15833*h**3 - 7*h**2 - 6*h - 376691?\nAnswer: 47499*h**2 - 14*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2*sqrt(72) + sqrt(72))\/sqrt(4) - (sqrt(18) + 0 + 2))*-1 + 2)**2.\nAnswer: -48*sqrt(2) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -30 + 56. Suppose -27*c + d*c + 5 = 0. Suppose -c*q + 13 + 32 = 0. What is the highest common divisor of q and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Add -1618471 and 6802.\nAnswer: -1611669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.8 - 41.2. Let z = 0.0209 - 42.3209. Let o = z - y. What is the closest to -2 in o, 1\/3, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**(-3\/5))\/w**4)\/(w**1)**(2\/7) assuming w is positive.\nAnswer: w**(-136\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 - 2. Suppose -4*y = 4, 25 = j*m - 0*y - 5*y. Is m even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15494 to the power of 1\/2, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 + 106)*248 - -8. Suppose 5*w = -l + 37140, -4*l + 3928 = 4*w - q. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(2\/19)\/(v*v**(-3\/4)*v))**24 assuming v is positive.\nAnswer: v**(-522\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b**2 - 11*b + 2. Let x be j(-11). What is the units digit of (-3)\/6 - (-25)\/x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -14*x + 11. What is the units digit of v(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + 0 - (-26 - -18) - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2.49 and 0.5.\nAnswer: 1.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/40301, 1\/8, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 6776*n - 33. Let o be m(-2). What are the prime factors of (-1)\/((-4)\/(-1) - o\/(-3395))?\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -3*u**3 + 2*u**2 + 2*u - 2. Give q(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/63*-15*(-714)\/4590*-387\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 + -1. Calculate the lowest common multiple of (-224)\/(-196)*14\/4 and -1 + j + 28 + -5.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*q = -40*q + 145*q - 38*q + 532 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 24924938 a multiple of 4171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p + 6*p - 2*x + 2, 5*p = 3*x. Is (-22)\/(-4)*(p - -5) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.1678991 months in millennia?\nAnswer: 0.000097324925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7\/(-28))\/((1\/1)\/(-6)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 6*t**2 + 4. Let s(q) be the second derivative of 5*q**4\/12 + 3*q**2\/2 + 378*q. Let f = 14 - 8. Give f*i(c) - 7*s(c).\nAnswer: c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 24*h**2 + 1 + 12*h**4 + 3*h**3 - 56*h**2 + 19*h**2 - 3*h**3 + 3*h to y*h + x*h**2 + a + f*h**4 + v*h**3 and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -11 in -5, -624\/5, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 536 divide 761656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that u**5\/3 + 235*u**4\/3 + 5431*u**3\/3 + 12835*u**2 + 34800*u + 31500 = 0.\nAnswer: -210, -15, -5, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**6\/(v**(2\/3)*v))**45 assuming v is positive.\nAnswer: v**195","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 m, and 2 e when four letters picked without replacement from {e: 3, w: 2, m: 7}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 33.492 plus 867?\nAnswer: 900.492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (260\/416*1\/(-35))\/((-256)\/112 + 0)\nAnswer: 1\/128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -3*j + 54. Let d be w(17). Suppose 5*v + 1 = 3*z, -2*z + 2*v = 3*z - 8. Suppose -h + z = h. Solve -d*p = -2*p + h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10 - (-4 + (15 + -7 - 3))) + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q + 22. Suppose 50*f + 3 = 2*k + 51*f, -k + 12 = 4*f. Calculate y(k).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-3 + 2*sqrt(396))**2 - (-1*-6*(sqrt(396) + 1*sqrt(396)))**2.\nAnswer: -55427 - 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-93)\/(-12) - (-12)\/(-16). Let i(s) = 5*s**2 - 2*s - 3. Let b be i(-2). What is the highest common factor of b and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5664681 (base 9) to base 11\nAnswer: 17a6853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 616 minutes after 7:48 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3ad9 (base 14) to base 3.\nAnswer: 112020120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 6*p**2 - 7*p + 1. Let f be b(5). Let q be f\/36 - 2\/9. Solve q*j = -8 + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-four fifths of a kilogram in grams?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1939 is divided by 313?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001103625 rounded to 7 decimal places?\nAnswer: -0.0001104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 29501 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 15\/6*(4 + 9378\/(-1890)) and 23\/2904.\nAnswer: 20328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13308 bigger than 14222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in fourty-seven quarters of a kilogram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**3 + 16*t**2 + 19*t + 36. Determine g(-15).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 875 and 7375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 115100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q*q**(-1\/15)))\/q)**(-1\/55)\/(q**(-5)\/((q**(-1\/4)\/q)\/q)) assuming q is positive.\nAnswer: q**(9131\/3300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 1 - q + 0 + 0*q**2 + q**2 + 2*q**2. Let k be w(1). Let x be (-996)\/(-9) - 2\/k. Calculate the highest common factor of x and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o and 1 l when three letters picked without replacement from {l: 1, f: 2, o: 4}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 107, 320, 533, 746, 959?\n\"Answer: 213*d - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101021 (base 3) to base 9.\nAnswer: -337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000045757896 to 7 decimal places.\nAnswer: -0.0000458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 39 + -80 + -17 + 44?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*b - 3*b + 7*b)*(-1 + 0 + 3)*((4*b + 57*b - 7*b)*(-1 + 0 + 2) + 5*b - 2*b - 33 + 26).\nAnswer: 114*b**2 - 14*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -548a (base 11) to base 2.\nAnswer: -1110001000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-9 - 2 + 8)*(0 - 2 + 3)*(o + 3*o - 2*o) to q*o + r and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (492\/(-165) + 2)\/(-36 + (-6171)\/(-170))?\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -402.12 take away -4?\nAnswer: -398.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-l - 2*l**2 + l)*(-100*l - 16*l - 162*l) to m*l**2 + g*l + x*l**3 + n and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1035 and -155678.\nAnswer: -156713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 k when two letters picked without replacement from gqggqqqnzkggqggk.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 7 + 11 = x, d = -2*x + 26. Suppose -x = -2*w - 16. Suppose 0 = -z - 2*z + 15. Which is the closest to w?  (a) z  (b) -5  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 297*z + 32. Is b(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**3 + 13*h**2 + 13*h - 17. What is v(14)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 186570137 and 382?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 62d + 2?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, z: 6, i: 1, d: 3, w: 3}. What is prob of sequence odi?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 10509097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that 5*r**2\/3 + 470*r\/3 + 2640 = 0.\nAnswer: -72, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 210\/792 + (-26)\/143?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 71 a factor of 787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = -2*t + 11759, 12761 = 3*t - 2*s - 4884. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4958 and 371984?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/(-3) + 5744\/12. Suppose o = -5*f + 2*s - 5*s, 5*s - 470 = 5*f. Let r = f - -215. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 13*r**5 - 2285*r**3 + 5748*r**2 + 75*r + 913726?\nAnswer: 260*r**3 - 13710*r + 11496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -56.0000053 + 56. What is n rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 1 - (-216)\/658) + 7528\/(-26348)?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0.022*-103269\nAnswer: -2271.918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-85)\/(-10)*6\/21*-7.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -71980 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 times -2453.9?\nAnswer: -9815.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 476*u*v**3 - u*v**2 + 4*u*v - 362*v**3 - 251*v**2 + 4 wrt v?\nAnswer: 2856*u - 2172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 98228329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 + -1. Let x be (l - -1)\/((-4)\/(-12)). Does 12 divide ((-72)\/(-20))\/(x\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -73 - -11?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30683182*i**3 + 3*i**2 - 30683183*i**3 - 28 - 7*i**2.\nAnswer: -i**3 - 4*i**2 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**3 - 80*q**2 - 997*q - 385. Determine p(91).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.19047s in microseconds?\nAnswer: 14190470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -2179789, -2179787, -2179783, -2179777, -2179769?\n\"Answer: y**2 - y - 2179789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2336319 + -76.536?\nAnswer: -2336395.536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 3*a + 56 = 16, -f + a = -10. Let z be (-9 + f)\/((-1)\/2) - -8. Let j(w) = 2*w**2 + 4*w - 4. Let m be j(3). Solve z = -5*v + m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the third derivative of 0*c + 1\/490*c**7 + 2*c**4 + 7\/2*c**3 + 44*c**2 + 2\/35*c**6 + 39\/70*c**5 + 0. Let b(m) = 0. What is m?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w + 3 - 3)*(4*w - w - 10*w + (-8 + 4 - 7)*(-5*w + 2*w + 4*w) + w + 3*w - 3*w).\nAnswer: 34*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*g = -62*g - 726. Let q(n) = -n**3 - 21*n**2 + 24*n + 37. Determine q(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 7*c**2. Let a(z) = 3*z**2 + 23 - 23. Determine s(a(l)).\nAnswer: 63*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-3*sqrt(147) + sqrt(147))*6 - -3*sqrt(147)*1) + -5 + -5)**2.\nAnswer: 1260*sqrt(3) + 12007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1*(-6 + 1) - (-17 - -14). Let q be (-30)\/21 - (-1 + 2) - j. Sort -1, q, -3.\nAnswer: -3, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -293*o + 3*x - 6 = -288*o, -2*o + x - 2 = 0. Suppose -2*d + 0*i - 2*i + 10 = 0, 3*d - 2*i = -5. Is (-1041)\/(-6)*d*(o - -2) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-204)\/(-8) - 4)*2*-1. Let x = k - -23. Let c be ((-48)\/32)\/(6\/x). Is 5 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the first derivative of 34*v**7 - v**5\/5 - 293*v**3\/3 + 45. What is the third derivative of a(j) wrt j?\nAnswer: 28560*j**3 - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6337 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 5\/1219?\nAnswer: 5\/1219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f\/f**1*f*f)**39*(f*f\/(f*f**4\/f))\/f*f*f\/f**(-3\/5) assuming f is positive.\nAnswer: f**(583\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00045279 rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 6, -1, -0.4, 51\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(6)*1*3*-5)\/((sqrt(36) - sqrt(900))\/sqrt(12) - sqrt(192)*-3)*2.\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17534*y - 5843*y - 5843*y - 5848*y - 2*y**3 + 17*y**3.\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/(-4) - (-42)\/8. Suppose 3*g = -3*g - 18. Let k be g + 7*(-3 - -4). Solve 4*t - 35 = i*s - t, -k*s = -2*t + 22 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -123*t**2 + 447*t + 898. Let b(f) = 676*f**2 - 2235*f - 4490. Let y(i) = 4*b(i) + 22*x(i). Find g such that y(g) = 0.\nAnswer: -2, 449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 30 - 31. Let g = -184\/267 - -2\/89. Is g smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -476*d*f*u - 92*d*f - 2*d*u + 246*d - 1806*f*u + 4*f + 9*u - 6 wrt u.\nAnswer: -476*d*f - 2*d - 1806*f + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -0.5, -0.3, 2, -2\/3, -5, -17753, 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 189524.9 kilograms to milligrams.\nAnswer: 189524900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/7 + 88\/(-84)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*g - g + 3*g - 17*g**2 + 7*g.\nAnswer: -17*g**2 + 25*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -1*(-3)\/1*(-2)\/(-3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 9512.63 to the nearest ten.\nAnswer: 9510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**2 + 2559*n + 90782. What is g(-35)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -587897 and -0.02?\nAnswer: 11757.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 92.88349 millennia?\nAnswer: 9288.349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.08 and 3237.\nAnswer: -258.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**2 + h + 1. Let f(j) = 3*j**2 - 4*j - 6. Determine f(u) + 6*m(u).\nAnswer: -3*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 13*w**3 - 6*w**2 + 100*w - 583. Is g(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -18.1 + 19. Let h = 0.1 + l. Are 0 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 3 + 13 = -14. Solve -k = y + 4*g, 0 = 11*y - 8*y + g - 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 34, 3, -1, -2, -11 in increasing order.\nAnswer: -11, -2, -1, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 120 + -85. Suppose u = 3*f + 4*f. Suppose f = h + 1. Calculate the remainder when h is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from bbrrrrrbbb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.5 in 0.5, 5, 134?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the second derivative of -a**4\/12 + 2*a**3\/3 + 9*a**2\/2 - 26*a. Let h be j(5). Solve 2*f = h*d, 0 = d + 3*d + f - 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1213b (base 12) in base 3?\nAnswer: -1020110002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2445*t + 4539*t + 0 - 795*t + 0.\nAnswer: 6189*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 688 minutes after 6:16 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6233420542?\nAnswer: 2, 31, 61, 1648181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 365712 a multiple of 802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -3 + 6 + (-8 - -2) + 3. Suppose 3*m + 0*i - i = 224, s = -2*m + 5*i + 132. What is the remainder when m is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 83*t + 83*t + 83*t - 250*t. Let c(b) = -43*b. Calculate y(c(a)).\nAnswer: 43*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h**2 + 8*h - 10. Let o be i(7). Let g = -1 - o. Let f be -10*(g + 10\/(-4)). Solve -5*d = 5*c, -3*c + f*d - 8 = 16 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -478 + 485. What is the remainder when b is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (5*(-1)\/40)\/(7\/4). Which is the third smallest value?  (a) l  (b) -1\/12  (c) -5  (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x + 15. Let n be (-16)\/2 + 7*(-3)\/(-21). Let p be c(n). What is the highest common factor of 66 and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -15.6, -5, 1\/5, -1227 in descending order.\nAnswer: 1\/5, -4, -5, -15.6, -1227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1578467, -3156934, -4735403, -6313874, -7892347?\n\"Answer: -h**2 - 1578464*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -9*m - 21. Let z be w(10). Let r = 198 + z. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1.276 less than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/15 smaller than -0.0868625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 4*w - 22. Give t(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-100*93\/(-23250))\/(74\/(-15))?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 13221066 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8\/3 + -94\/33. Let a = 26 + -24.74. Let j = a + -0.26. Sort p, j, 5.\nAnswer: p, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-18 - (1 + 1 - -1)) + (5356 - 5361)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7069, 24223, 51455, 88765, 136153, 193619?\nAnswer: 261163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -16 - 9*g - 5*g + 16. Let s(w) = 18 + 1 - w + 7*w - 19. Calculate o(s(z)).\nAnswer: -84*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*s - 721 = 359. What is the remainder when 59 is divided by s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 284000 and 11502.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1873031460 + -20490964206869\/10940. Let v = f - -2\/2735. Find the common denominator of 2\/6*-1 - 390\/72 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -325*m**4 - 507*m**2.\nAnswer: -7800*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -213 (base 5) in base 10?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 108\/120 - (-2)\/(-5)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*u**2 - 10*u + 0*u - 7*u**2 - 26*u**2 - u**2 to the form k + b*u + t*u**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 12351438 or 2\/41?\nAnswer: 12351438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 - (30 - 72 - -60) - (-13 + 0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*l**4 + 50*l**3 - 160*l**2 - 480*l.\nAnswer: 5*l*(l - 4)*(l + 2)*(l + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -37.6 + 57.7. Let y = 21 - q. Let o = -4.1 - y. What is the second smallest value in 1\/5, o, 0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -35, -77, -119?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*u - 3*b + 12572910 - 12572942, 0 = -4*u - 4*b - 24 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 625\/115 + 1*-5. Let f = 3\/46 + w. Which is the second biggest value?  (a) 0  (b) f  (c) 4  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + -1 + (sqrt(19)*1)**2*3 + 3 + 5.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s - 15. Let f(v) = -11*v + 24. Suppose -27 = 4*t - 5*r, 10 - 22 = 2*t - 4*r. Let b(m) = 7*m - 15. Let a(z) = t*b(z) - 5*f(z). Calculate a(g(l)).\nAnswer: -l + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 672 + -682.54. Let t = -10 - s. What is t rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -964, -963, -962, -961, -960?\nAnswer: -959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 657 minutes before 3:33 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14*i**3 - i**4 - 13*i - 8*i**3 + 0*i**3 + 4*i - 2 to the form t*i**3 + h*i + f + b*i**4 + w*i**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -110, 7147, 19242, 36175, 57946, 84555?\nAnswer: 116002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -299 divided by -5?\nAnswer: 299\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -2*u**2 + 3*u**3 - 8*u**3 - 3*u - 3 + 4*u + 4*u**3 + 3*u**2. Calculate h(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 2 - 1)*(0 - 4*n + 1 - 6) in the form t*n + o and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4515900, 4515890, 4515866, 4515822, 4515752, 4515650, 4515510?\nAnswer: 4515326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 20 and 276.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the first derivative of -32*l**2 - 7*l - 1 - 1\/3*l**4 - 16\/3*l**3. Let h(y) be the first derivative of g(y). Factor h(r).\nAnswer: -4*(r + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44564.63ug in grams?\nAnswer: 0.04456463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*d**2*z**4 - 2*d**2*z**2 + 149*d*z**6 + z**2 + 37*z wrt z.\nAnswer: 72*d**2*z + 17880*d*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**3 + 4*z**2 - 6*z. Let o(n) = n**2 - 24*n - 48. Let k be o(26). Give x(k).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 12954882, 12954883, 12954884, 12954885, 12954886, 12954887?\n\"Answer: o + 12954881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -17*h. Let y(d) be the third derivative of -d**5\/15 + 89*d**2. Calculate p(y(s)).\nAnswer: 68*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve q - 6 = -11 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 8 = 2. Suppose i*n + 1 = l, l = 2*n + 1 - 0. Solve n = -0*k + 4*k + 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 427263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 111101110 (base 2) to base 3\nAnswer: 200022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 k when two letters picked without replacement from gfk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 135 + -43. Calculate the remainder when x is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 144085, 288196, 432307, 576418, 720529?\nAnswer: 864640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add -4.2 and 0.1.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 200748 and 66916?\nAnswer: 200748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 2*m**2 - m + 1. Calculate the lowest common multiple of s(-3) and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4 - 0)*5\/10. Let l(d) = 15 - k*d - 2 + 2*d + d. What is the units digit of l(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 52\/281, -0.043, -0.1?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -2*x + 5 + 3 + x. Let w be d(4). Let s(n) = -16*n**2 + 4*n + 18*n**2 - w*n. Let g(p) = p**2. Calculate s(g(z)).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4.1  (b) -6  (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -86594 - 0\nAnswer: -86594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 3 r when four letters picked without replacement from rcarqcrczqzzzr?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 221 is divided by 70?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/(-10) - 134*4\/(-40). Suppose 0 = -f*g + 37 + 132. Suppose -85 = -18*t + g*t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10020 - 21220201012?\nAnswer: -21220211102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:44 AM and 8:21 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 83199959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20181757.\nAnswer: 20181757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 8410839.\nAnswer: -1\/2803613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 3904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from pvovovpvvuuvovp?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z + 6 - 4. Which is the third biggest value?  (a) 0.3  (b) -0.1  (c) 1  (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 187*u**2 + u - 1. Let d be r(1). Suppose 0 = 3*o + 5*j - 36, -5*o - j + 48 = -2*o. What is the highest common divisor of o and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 141, 1, -5195 in decreasing order.\nAnswer: 141, 1, -5195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -450 - -3156\/7. Let p(x) = -x**3 - x**2 + 1. Let y be p(-1). Which is smaller: y or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1122*d**6 + 8421*d**4 + 106905160*d**2?\nAnswer: -134640*d**3 + 202104*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/179 in 0, -4, 1\/2, -1\/8, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -186, -180, -164, -132, -78, 4?\n\"Answer: f**3 - f**2 + 2*f - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the first derivative of 1\/4*m**2 + 1 + 2\/5*m**5 + 0*m + 1\/12*m**6 + 3\/4*m**4 + 2\/3*m**3. Factor t(k).\nAnswer: k*(k + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**3 + 4*m**2 + 2*m + 3. Suppose 11*p - 92 + 598 = 0. Let f = -42 - p. Determine l(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3367 + -3367.3. Which is the nearest to -8?  (a) -1  (b) -1\/10  (c) 4\/5  (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from {n: 5, f: 3, r: 7, w: 2}.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(((a\/a**(-4))\/a*a)\/a))\/a**14*((a\/(a\/(a**(-6)\/a)))\/a)**39 assuming a is positive.\nAnswer: a**(-329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 738 and 164.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*j + 0 = -18. Suppose -5*q - 36 = -3*c - 2*q, -c + j*q + 18 = 0. Calculate the highest common factor of c and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 539319 + -2027319. Round f to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**3 - 7*r**2 - 2*r - 14. Let x be j(-7). Suppose y - d - 126 = x, -162 = 4*y + 3*d - 638. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35054 is divided by 369.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 87075 is divided by 492.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.3, 0.2, 70.2, -111?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 divided by 1545?\nAnswer: -7\/515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -377 in -0.04, 3, 2\/15?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 117, 573, 1373, 2517, 4005, 5837, 8013?\nAnswer: 10533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -4*m + 10. What is the units digit of m\/(-9) - 308\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -100 - -98. Let b be d\/1 - 1 - (-3 - 0). Solve 2*j - 5*j + 15 = b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3262 + -2177. What are the prime factors of w?\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -4*j - 44, 2*j + 69 = 5*k - 1. Let x(a) = 7*a**2 + 1. Let q be x(1). What is the third derivative of 11*b**2 + k*b**2 - 14 - q*b**4 + 14 wrt b?\nAnswer: -192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7\/7915 and -19\/103401560?\nAnswer: 103401560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in -0.35245, -0.07, -0.1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, v: 1, e: 1, w: 1, c: 1, k: 2}. Give prob of picking 1 h and 1 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 6419.3 rounded to the nearest 100?\nAnswer: 6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y\/y**(-1\/11))\/y)\/(y**6*y)*(y\/(((((y\/(y**(-6)\/y))\/y)\/y)\/y)\/y)*y)\/y**(-4))**(-4\/11) assuming y is positive.\nAnswer: y**(216\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 357*0.4\nAnswer: 142.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 759*n + 29741 = 110*n - 31*n - 34859 for n.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 4 + 4)*(-2*k + 3*k + 0*k)*(-2*k**2 + 4*k - 28*k + 3*k).\nAnswer: 2*k**3 + 21*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.36 + 1.6. Let v = 1.76 + x. Let a = -1.8 + 1.7. What is the closest to a in v, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171) + (sqrt(171) - sqrt(171)*2*1 - sqrt(171)) + ((sqrt(171)*-1 - sqrt(171))*2 - sqrt(171)))\/(5*(sqrt(900) - 2*sqrt(900))) + 0.\nAnswer: 3*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 11901389?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 2 - 4)*(-9*b + 14*b + 5*b)*(-3*b + 2*b + 0*b).\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1, -22, -67, -140, -247?\nAnswer: -394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7209*d**4 + d + 37263?\nAnswer: 86508*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the second derivative of x**6\/45 + x**5\/30 - 7*x**4\/18 - 13*x**3\/9 - 2*x**2 - 14*x - 4. Find h such that g(h) = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 5 - 7 + 271*d - 908*d.\nAnswer: -637*d - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 368 - 373. What is the smallest common multiple of (j\/(-4))\/((-3)\/(-120)) and 15?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 o when two letters picked without replacement from {m: 1, o: 1, w: 1, n: 4, t: 11}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-5806)\/(-16) + (-1)\/(-8). Suppose -35*o = m - 48. What is the closest to 3\/7 in o, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**3 + 336*t**2 + 948*t + 318530. What is a(-336)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8 + 8. Let p(v) be the first derivative of v**4\/4 + v**3\/3 + v**2\/2 + 1. Calculate p(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 + -17. Let l = -16 - x. Put -0.5, 5, l in decreasing order.\nAnswer: 5, l, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.1, -9\/4, 2, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 114563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1 from -3125400659543.\nAnswer: -3125400659542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -25144.2 rounded to the nearest one thousand?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u**3 + 7*u**2 + 11*u + 4. Let m be (19 - 16)\/((-6)\/8). Give i(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*n**2 + 2*n**3 + 33*n**2 - 9*n**2 - 8*n**2.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 122 divided by -949.\nAnswer: -122\/949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3289 a factor of 277168753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-23125)\/(-825) + -15 + -13\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Are -386\/15 and -26 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (69\/(-6))\/(-3*75\/(-5490)). Which is greater: -281 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1123670 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10296802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g. Let y(u) = -5*u + 14. Let c(b) = 2*b - 5. Let m(s) = 11*c(s) + 4*y(s). Let n = 2 - -2. Give n*i(w) + m(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 3176*w - 6350. Let q be j(2). Let m = -0.05 + -0.35. Which is the closest to 0.1?  (a) m  (b) 0.5  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 35641 = -3*o - 7899, 10 = -5*o. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 9 = -21. Suppose 4 = -2*z + o*z. Suppose -z*i + 48 = i. Calculate the lowest common multiple of i and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4751 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n + 28. Let c = 130 - 78. Suppose 5*r + c = s, 6*s - 10 = s. Calculate the remainder when u(r) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (33*d - 240*d - 2*d)*(4*d + 2*d - 4*d) + 0*d - 2*d**2 + 0*d in the form w*d + s*d**2 + m and give s.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 8254 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*h**2 + 0*h**2 - h**2)*(3 + 2 + 5*h - 3*h)*(2*h + 3 - 3) in the form b*h**4 + y*h + i*h**2 + v + a*h**3 and give a.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 426, 3, -1, -587, -2 in descending order.\nAnswer: 426, 3, -1, -2, -3, -587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1256 or -1249?\nAnswer: -1249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.6 and 0.04.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, -5, 4, -2, -214.4 in decreasing order.\nAnswer: 15, 4, -2, -5, -214.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/3, 13, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 846 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 128.8 + -128.9. Sort 5, -22, -0.3, f.\nAnswer: -22, -0.3, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the third derivative of -u**6\/120 + 7*u**5\/60 + u**3 - 2*u**2. What are the prime factors of p(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5652 + -2?\nAnswer: 5650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = y - 4*r, 8*y + 4*r = 5*y - 11. Suppose -5*u - 3*z + 2*z = -1390, 2*u + y*z - 556 = 0. What are the prime factors of u?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/9, -0.1, 14\/5, -2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4771 * -0.15.\nAnswer: -715.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -62\/315 and 32\/2493693.\nAnswer: 87279255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 47.095 - 47. Let x = -0.094959 + g. Round x to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26485 is divided by 6593.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-2*f + 5*f - 4*f)*(5 - 5 + 2) + (-4 - 1 + 3)*(3*f - 3*f + f))*(-13*f + 13*f + 7*f**2) in the form t*f**3 + x + z*f**2 + w*f and give t.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 83.856 - 7.856. Which is smaller: v or -3\/20?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {z: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 1446 divide 19014900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is (1 - 2)\/((-4)\/(-5348)*-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes before 2:50 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 40\/260 + (-280)\/1482?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = g + 127, 0 = -4*i - 3*g + 110 + 22. What is the remainder when 110 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -3*f**3 + 4*f**2 + 2*f - 2. Let z(m) = 4*m**3 - 3*m**2 - 3*m + 3. Let i(w) = 5*h(w) + 4*z(w). Is i(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.13 * -3174\nAnswer: 412.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3.1797 + 3.22. Let i = s + -0.0746. What is i rounded to three decimal places?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:22 AM and 1:40 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 30 = -2*x, 4*z + 2*x = 9*z - 10. Let n be (-1)\/(-2*4\/40). Solve 5*r = -6*b + z*b + n, 3*r + 2*b = 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3 + (583\/(-16))\/11)*4\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:49 AM and 7:15 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z\/((z*z**(-2\/3)\/z)\/z)*z**(-5\/3)*z*(z\/(z**(-7)\/z))\/z*z*z**(5\/6)\/z*z assuming z is positive.\nAnswer: z**(71\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2323 - 443?\nAnswer: -3321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + (0 - -17 - 24) + -11 + 7?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ncncnncnnnnnnn. Give prob of sequence ccc.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 43 - 40. Suppose 0 = f*d + d - 92. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2 and 2102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 690778 and 68?\nAnswer: 1381556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 3*z - 4 = 0. Suppose -z*o - f + 16 = -0*o, -24 = -3*o + 4*f. Let k be ((-2)\/o)\/(11\/(-44)). Put -3, k, -2 in descending order.\nAnswer: k, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-108)\/(-45))\/((-6)\/(-20)). Let f = r + -6. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 23*f - 29*f + 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 673 + -281. Let z = n - 370. Is z less than 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 9009.8123870881 + 5967875.5176312119. Let x = b - 5976580.33. Let f = -305 + x. What is f rounded to six decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57*q - 16 = 49*q. Suppose s - 3*s + 2 = 4*u, -u - 5*s = 13. Solve -o - q = t, o - u*t = -0*o - 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*k**3 + 6*k**3 + 2*k**5 + (-k**2 + 0*k**2 + 2*k**2)*(-5*k**3 + 3*k**3 + 3*k**3) + 10*k - 30*k - 6*k + k**5.\nAnswer: 4*k**5 - 26*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**3 + 2*t**2 - 69*t + 141. What is x(5)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 3260824, 3260798, 3260772?\n\"Answer: -26*o + 3260850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -4386, -4414, -4470, -4560, -4690, -4866, -5094?\n\"Answer: -u**3 - 8*u**2 + 3*u - 4380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -4*w - 57. Let r be t(-14). Let b be 1\/(r - 3\/(-2)). Is b at most as big as -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*z**2 + 7*z**2 - 8*z**2 to f + s*z**2 + k*z and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -4*h + 3. Let b be y(2). Calculate the common denominator of 39\/5 and (-348)\/8*1\/b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 75990047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 7*j**2 + 20*j - 6. Let x(p) = -16*p**2 - 37*p + 11. What is -11*f(b) - 6*x(b)?\nAnswer: 19*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1855 - 567 = 46*g. Solve 2*p - 3*j - 19 = 0, 0 = -6*p + 11*p - j - g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 20*r**3 - 2660*r**2 - 2675*r - 670.\nAnswer: 5*(r - 134)*(2*r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1370460 divided by -156?\nAnswer: -8785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + x - 10 = 0, 3*x - 7 = -2*s + 2*x. Let d(p) = -2*p + 2. Let t(c) = -4 - 3 + 4 + c + 2. Determine s*t(y) + d(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - (1 - 1)) + (-15 - -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a + 7. Let v(r) = -2*r + 8. Let i(o) = 3*t(o) - 2*v(o). Give i(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.84 - 0.44. Let n = -3.6 - s. Which is the biggest value?  (a) -0.3  (b) n  (c) 2\/19  (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1607315995?\nAnswer: 5, 11399, 28201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*((-8)\/2)\/(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r - 33. Let o = -3014 - -3037. Calculate t(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 42\/(-10) - 25\/(-5). Let l(f) be the first derivative of 1\/8*f**2 + k*f**5 + 3\/4*f**3 + 3\/2*f**4 + 0*f + 8. Factor l(w).\nAnswer: w*(w + 1)*(4*w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -62 - -1516556832657.\nAnswer: 1516556832595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) -180\/49  (c) 1\/2  (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-8\/5)\/(u**(-20)\/u*u)*(u**(-5)*u)**8 assuming u is positive.\nAnswer: u**(-68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - a + 3*n = 0, -4*a + 2*n = 8. Let v = a + 13. Suppose -1 = q - v. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the third derivative of -5*y**4\/3 - 29*y**3\/6 + 22*y**2 - 24*y - 2. What is o(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 127610 is divided by 9109?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 112 = -3*n - 0*n, -468 = 4*p - 2*n. Let f = p + 291. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 2*y - 43. Let j be 183\/63 - 2\/(-21). Suppose -131 = -3*i - c, -2*i + j*i - y = 3*c. Is 21 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2, -215 in descending order.\nAnswer: 2, -1, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -527\/15 + 35. Is a at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*x**2 + 0*x**2 + x**2)*(17*x - 21*x - 38*x).\nAnswer: 126*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 z when two letters picked without replacement from {m: 1, j: 2, c: 6, y: 2, z: 5, u: 1}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -95734 - 1.\nAnswer: -95735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-40)\/(-10) - 9\/2. Let u = 0.2 - -0.8. Which is the closest to z?  (a) 0  (b) 0.5  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -35.7187+-281703\nAnswer: -281738.7187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/58712535 and -22\/19570845?\nAnswer: 58712535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:17 PM and 4:50 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2 + 32\/17 - 0. Let n = -775 - -873.9. Let u = 99 - n. Which is the second smallest value?  (a) o  (b) u  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.49 - 5.09. Let k = 6 + p. Round k to 1 decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l. Let p(b) = -49181580*b. Give p(w(h)).\nAnswer: 49181580*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24)\/10 + 12\/30 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u. Let w(m) = 6*m. Let r(d) = -34*o(d) - 6*w(d). Let n(q) = -9*q - 15 + 15. Give n(r(a)).\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 669, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4944*k - 40*k = -9968 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p + 1. Let c(i) = -i**2 - 11*i + 4. Suppose z + 4 = 0, 3*h = -5*z - 3 - 14. Suppose 0*w = j + 2*w + h, -7 = 2*j + 3*w. Let y be c(j). What is d(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wccs when four letters picked without replacement from awaqzcwcswzw.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80*y - 880 = 90*y. Let u(b) = -7*b + 17. Let n be u(13). Let f = n - y. Calculate the smallest common multiple of f and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -34*-915118.\nAnswer: 31114012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-56)\/18*1)\/((-10104)\/227340).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -41*b - b**2 + 2027 - 2028 + 12*b in the form n*b**2 + h*b + i and give h.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 21*y + 7. Let q(x) = -59*x - 17. Let u(w) = -11*o(w) - 4*q(w). Give u(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 3*r = q + 16, -13 = -r + 3*q. Let p be 1*(r + 1 - 0). Find the second derivative of 8 + 4*v**2 + 3*v - p wrt v.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -302 - -503. Suppose 4*k - 5*o = 477, 2*k + 3*o + 2*o - i = 0. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r + 12. Let w be k(-10). Factor -40*i**4 + 1 + 4*i**2 + 2*i + 2*i + 41*i**4 + 2*i**w + 4*i**3.\nAnswer: (i + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2724 + 2038. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5*x - x - 10 - 5*x - 4*x with respect to x.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**3 + 8*c**2 + 11*c + 9. Let z be i(9). Calculate the greatest common factor of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the first derivative of b**5\/5 - 441*b**4\/4 + 128*b**3 - 1560. What is the third derivative of h(n) wrt n?\nAnswer: 24*n - 2646","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8696921 is divided by 114?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -14, -20\/21, 4?\nAnswer: -20\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*j - 2*p + 1591 - 1630 = 5*j, 5*j - 6*p - 3 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -8177  (b) 1  (c) -4\/5  (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = -0*g + 4*r - 160, 5*g = -5*r - 355. Suppose k = 3*k + 226. Let o = g - k. List the prime factors of o.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) -3\/4  (b) -2\/7  (c) -0.1298\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 18 = 22. Let p = -290 - -293. Calculate the remainder when p + 28\/(-6)*1*-6 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14*(-3)\/(-36)*16\/(-84)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.413442 centimeters in nanometers?\nAnswer: 34134420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, -9207, 2.4?\nAnswer: -9207","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 24c - 7a6a?\nAnswer: -781b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 5*p + 9 = -3, -4*p - 32 = 4*t. Let v = 0.71 - 0.72. Which is the third biggest value?  (a) 1  (b) v  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 102102211 - 100?\nAnswer: 102102111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 - -3386?\nAnswer: 3388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes before 9:51 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 921425962 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2*1\/(-2)*-2. Suppose 0*p - 2*u + 105 = 5*p, 0 = -h*p - 4*u + 58. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 43 - 69. What is u rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14463 + 0*b - 3*b - b.\nAnswer: -4*b - 14463","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p - 117 - 99. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((15\/20)\/(-1))\/((-588)\/448).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -775, -1682, -2727, -3916, -5255?\nAnswer: -6750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 97\/(-2)*(-5 - 6\/(-2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**2 - 3*o. Let w be i(4). Let u(k) = -w*k + k**2 - 5*k + 2*k - 5. Let z be u(7). Let q(g) = g**2 + 7*g + 6. Calculate q(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27765000 rounded to the nearest one million?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-4\/3))**(-8\/9)\/(c*c\/(c*c**17)*c*c**12) assuming c is positive.\nAnswer: c**(113\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 66716 - -21423?\nAnswer: 110341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 213557046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 3079 * -6881\nAnswer: -21186599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 23 + -21. Put c, 1\/3, 5, 2\/7 in decreasing order.\nAnswer: 5, c, 1\/3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3972 by 4.\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*j**2\/3 + 1740*j + 1135350 = 0. What is j?\nAnswer: -1305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the second derivative of 139*u**4\/12 + 139*u**2 + 923*u. Differentiate j(s) wrt s.\nAnswer: 278*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 523 is divided by 142.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(2\/11)\/(i\/(i*i\/(i*i**(-1\/2))))*i**(-2\/9)*i**(-4) assuming i is positive.\nAnswer: i**(-701\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(204))\/sqrt(12) + (sqrt(17) - (2*sqrt(68))\/sqrt(4)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -3 - (11 + 1 + 0) - (-36 + 28).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the third derivative of -j**5\/20 + 425*j**4\/24 - 3427*j**3\/6 + 11*j**2 - j + 33. What is the derivative of g(f) wrt f?\nAnswer: -6*f + 425","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1020299 by 2.\nAnswer: -1020299\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 10\/(-15) - 112\/(-6). Let k be 50\/b - (-2)\/9. Suppose -7*w = -k*w - 12. Solve -4*q - 2*u + 5 = u, 0 = w*u - 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13249 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d**3 - 24*d**2 - 84*d + 61. Determine p(27).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 252303\/16 + -15763. Find the common denominator of s and 29*-1*(2254\/(-252) + 9).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(((sqrt(68) + 2)**2 + (1*sqrt(119))\/sqrt(7) - 6*(sqrt(2057) + -2)**2) + -3).\nAnswer: -1638*sqrt(17) + 73782","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2196 is divided by 820?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 785*n**3*s*w - 16*n**3*w - 2*n**2 - 11*n*s*w - 918*s*w wrt n?\nAnswer: 4710*s*w - 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*j - 4*j. Let l(z) = j*z - 5 - z + 0*z. Let s(q) = -q - 4. Suppose 13*m = 18*m - 5*y - 15, -5*m = 3*y - 15. Give m*l(t) - 4*s(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-7)*(-80)\/(-2400)*-1190.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**2 - 59*v. Let l(x) be the first derivative of 3*x**2\/2 + 9. Determine i(l(q)).\nAnswer: 9*q**2 - 177*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 778, 1544, 2296, 3028, 3734, 4408, 5044?\n\"Answer: -l**3 - l**2 + 776*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 7\/5  (b) -1  (c) -2\/7  (d) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5691223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88)*-6*-2)\/(sqrt(20)\/(sqrt(30)\/sqrt(3) + sqrt(10)) - sqrt(72)*4)*1 + 0.\nAnswer: -48*sqrt(11)\/47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 700247221 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -11 + 8 + -13 + 28 - -10.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p + p + 10, -25 = -3*i + 5*p. Which is smaller: i or 1\/635?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxrvxxxvvcxxrlxvxgxx. What is prob of picking 3 v and 1 c?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f - 4*f - f)*(3*f**2 + f**2 + 0*f**2 + (1 + 4 - 3)*(3 - 3 - 2*f**2) + 2*f**2 + 4*f - 4*f + 1 + f**2 - 1).\nAnswer: -18*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3054 is divided by 146?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -272*s**2 - 51. Let r(l) = 21*l**2 + 4. Give 4*j(p) + 51*r(p).\nAnswer: -17*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*a**2 - a**2 - a**2)*(-1251*a**2 - 1279*a**2 - 2 + 4*a + 2598*a**2).\nAnswer: 136*a**4 + 8*a**3 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -189634, -188459, -187284?\n\"Answer: 1175*t - 190809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -24, -21, 118, 507, 1260?\n\"Answer: 19*m**3 - 46*m**2 + 8*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 119 + -112. Let d be 2*t\/(-84)*-3. Factor 1 - 3\/2*h + d*h**2.\nAnswer: (h - 2)*(h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -665562902 + 0.3\nAnswer: -665562901.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = -34*o + 606 + 135. Let l(u) = -7*u + 138. Determine l(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.537593758 rounded to four dps?\nAnswer: -0.5376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -15325, -15181, -15035, -14887, -14737, -14585?\n\"Answer: m**2 + 141*m - 15467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11 - 3. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9 - -45. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (88*j - 88*j + 19*j**2)*(2 + 1 - 2) - 3*j**2 + 3*j**2 + 5*j**2 + (-j - 1 + 1)*(-2*j + 4*j - 4*j) in the form m*j + w*j**2 + s and give w.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of h**4 + 610*h**2 + 2256?\nAnswer: 4*h**3 + 1220*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 69 - 42. Let u = k + 34. Calculate the remainder when u is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (106*u**2 + 167 + 116*u**2 - 217*u**2)*(-8*u**2 + 5*u**2 - 2*u**2) in the form p*u**4 + c*u + f + a*u**3 + o*u**2 and give p.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 453837 to the nearest integer?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5560 and 665498640?\nAnswer: 5560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 14*p - 9*p = -1179, 5*p = -2*v + 1169. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1 and -35.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -39 - -41. Suppose -6*b + 3*k = -g*b - 8, -k = -5*b + 10. Suppose b*r = -z + 177 + 106, -3*z + 289 = 2*r. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the first derivative of -s**3\/3 - 131*s**2\/2 + 4163*s + 1224. Differentiate r(x) wrt x.\nAnswer: -2*x - 131","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**3 + 21*z**2 + 25*z - 54. Let d be g(22). Calculate the highest common divisor of 54 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -38, -134, -294, -518?\nAnswer: -806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5, -1\/5, 2, -6, 2\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 3, 1\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 6 = -10. Let l = -14 - z. Let i be -3 - (4\/8*l - 15). Which is the second biggest value?  (a) i  (b) 0.5  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*b**3 + 687745*b**2 - 24031769720*b + 26172432810000.\nAnswer: -5*(b - 68212)**2*(b - 1125)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -21\/481496 and 47\/361122?\nAnswer: 1444488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 35*76\/(-285)*-6. What is the greatest common factor of 3332 and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**3 - f**2 + f + 3. Suppose 5*a + 0*a - 3*b - 5 = 0, 3*a = -b + 17. Suppose -a*g = g. What is the units digit of y(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6\/(47396\/11848 - 4). Suppose 2*n = -10*n + i. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*q**3 + 17*q**2 - 4*q**3 - 17*q**2 - 8*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12012020100 - -10212221?\nAnswer: -12001100102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**2 + l + 76. Let z be g(0). Suppose 3 = j, 4*m = -3*j - j + 88. Calculate the greatest common factor of z and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1574 divide 106189573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1700 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p - 610 + 138. What are the prime factors of p?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 11 and 174?\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*o**2 - 6*o**2 + 3*o**2 + (4 + 1 + 1)*(-13*o**2 - 9*o + 9*o)*(-2 + 2 - 1) in the form x + h*o**2 + s*o and give h.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1823\/2 + 16319\/18. Let k be (0 + 24\/18)*3. Suppose 5*c - 4*l + 6 + 8 = 0, -l - k = 0. Which is smaller: c or j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*a**3 + 6*a**3 - 10*a**3)*(a + 0*a - 3*a + 2*a - 4*a + 4*a + (-3*a - a + 2*a)*(2 + 0 + 0) + a - 8 + 8 + 4*a - 6*a + a + (1 - 1 + a)*(4 - 1 - 1)).\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -106*x - 863. Calculate u(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -27*d - 729. Let i be x(-27). Factor -2*c**3 - 2\/9*c - 4\/3*c**2 - 8\/9*c**4 + i.\nAnswer: -2*c*(c + 1)**2*(4*c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 671839 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 295, 1159, 2589, 4585?\n\"Answer: 283*z**2 + 15*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 + 1112220210?\nAnswer: 1112220202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 8147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c**3 - 5*c**2 - 4*c - 1. Is 19 a factor of f(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (-1 - (2 + -3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -9*l**2 + 3*l + 522. Let s(u) = -14*u**2 + 4*u + 524. Give -3*h(f) + 2*s(f).\nAnswer: -f**2 - f - 518","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/((-3)\/21) - -1. Find the common denominator of 21\/(-96) - (-12)\/u and -101\/8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the third derivative of c**5\/60 + c**4\/24 + 3530*c**2. Let h(f) = 9*f**2 + 3*f + 1. Calculate -2*b(a) + h(a).\nAnswer: 7*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 352*g - 296*g + 2210 = 6746 for g.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9 - -8.98. Let h = t - -0.12. What is the closest to -0.1 in 0.4, -1\/4, h?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.04 - -10.96. Let f = r - 14. Let j = -21 + 20. Which is the biggest value?  (a) 6\/11  (b) f  (c) j  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixteenth of a kilometer in millimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 566796498.\nAnswer: 2, 3, 23, 31, 132491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2027769767552117\/95143450 - -51\/190286900. Let h = -21299873 + k. Let t = 12884 - h. Calculate the common denominator of 41\/18 and t.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10110 (base 2) to base 14.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 48669927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w - 6. Let t be r(-8). Let a(m) = -7*m - 5 - t*m**3 + 14*m - 9*m**2 - 2. Let v(q) = -2*q**3 - 8*q**2 + 6*q - 6. Determine 6*a(d) - 7*v(d).\nAnswer: 2*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**3 - 3*r**2 - 6*r - 3. Determine j(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31188 is divided by 303?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u**2 - 1. Let f be (-10)\/14 - 6\/21. Let z(t) = -4*t**2 - 2*t - 5. Let i(x) = 2*x**3 - 24*x**2 - x + 17. Let y be i(12). Determine f*z(b) + y*h(b).\nAnswer: -b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 1566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from rkrrooor?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(-9))\/u**(-5\/6))**(-12\/11) assuming u is positive.\nAnswer: u**(86\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*d + 21*g - 19*g - 19 = 0, 0 = -d - 4*g + 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/14?  (a) -6  (b) 53\/2  (c) 2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*b + 71 - 62 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -b**2*c*p**3 - b**2*c*p**2 - 59*b**2*p**3 - 26*b**2*p**2 + 2*p**3 - 5*p**2 wrt p?\nAnswer: -6*b**2*c - 354*b**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -119*u - 1167. Calculate the remainder when 33876 is divided by s(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 33 + -1404434?\nAnswer: -1404401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 71?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 48293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (220\/(-33) + 10)\/2. Let h(t) be the first derivative of -4*t**2 - g*t**3 + 1\/4*t**4 - 2 + 9*t. What is h(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 11201910 to the nearest 100000.\nAnswer: 11200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*k = -26*k - 7*u + 74, 3*k = -5*u + 44 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**1\/z)**(2\/73)\/(z\/(z*z\/z**(-5)*z)*z*z\/(z\/z**(-2\/13))))\/((z*z**(-2\/5)*z*z**(-2\/9)\/z)\/(z**(4\/5)*z*z**(-2\/9)*z*z*z)) assuming z is positive.\nAnswer: z**(673\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 - -2. Suppose 0 = 40*l + 775 + 985. What is the nearest to -0.1 in l, 0, o, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 282 and 108?\nAnswer: 5076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) 37  (c) 0.4  (d) 0.1  (e) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = 2*k + 186, 3*d + 2*d - 4*k - 237 = 0. What is the remainder when d is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**39*(y\/(y*y\/(y**0\/y*y)*y))\/y assuming y is positive.\nAnswer: y**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 896 and 2048?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 10) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is a1a0 (base 11) in base 4?\nAnswer: 3103211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 389.35 - 391.35. Let f be 76\/(-18) + 4\/18. Sort d, f, 2\/13, 1\/9 in decreasing order.\nAnswer: 2\/13, 1\/9, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-2 + sqrt(112)) + 5)**2 - ((sqrt(700) + -2 + sqrt(700) + 4)**2 + 0).\nAnswer: -2643 - 136*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 174\/178 + 2 + -3. Let r = -271\/178 - p. Let z be (-4)\/(-22) + ((-31)\/(-11) - -2). Which is the third biggest value?  (a) z  (b) -1\/2  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**2 - 8*y - 10. Suppose -4*m = -6*m + 8. Calculate the remainder when g(10) is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -16 + (53 - -13) + -42\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 356130 (base 7) to base 13.\nAnswer: 234c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-30 + 30)\/15)\/(-1*(1 + 0)). Solve v = 216*i - 255*i + 312 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16149266.\nAnswer: 2, 7, 23, 50153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -3 - 215\/(-25) - (-2)\/5. Suppose 24 - 12 = u*i. Solve -3*x + 2 = -i*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (21\/7)\/((-120)\/(-2)*(-5529)\/2328).\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 97 = 2*c. Solve 0 = c*g - 48*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 4\/75 of a century?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minutes after 5:49 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -168 divided by 14\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 143 - 140. What is the third derivative of 15*x**j - 143*x**2 + 0*x - 2*x**5 + 119*x**2 + 2*x wrt x?\nAnswer: -120*x**2 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q - 1. Let c be h(-3). Suppose -9*y + 45 = -4*y. Let k(w) = -w**2 + 11*w - 14. Let f be k(y). Solve -f*u - c*s = -2, -u + 4*s + 27 = 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1663 is divided by 551.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from usssssususssssusssss. What is prob of sequence uus?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -49 + 60. Find the first derivative of 12 + 1 - 4 - a*g**4 wrt g.\nAnswer: -44*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - x - 5*u + 800 = 0, -5*x = -5*u - 820. Suppose 2*v - x = -l + 4*l, -l + 439 = 5*v. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 t when two letters picked without replacement from tggttagg.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 6374563 divided by -47\nAnswer: -135629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 200 and 6375.\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -54, -151, -306, -513, -766, -1059, -1386, -1741?\n\"Answer: b**3 - 35*b**2 + b - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + w = 16. Let k be 2\/(w\/12)*108. What is k rounded to the nearest 10?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3714572849 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(-19)*y)\/y**(-15) assuming y is positive.\nAnswer: y**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**2 + 13*i - 8. Let m be c(13). Let n = -15 + 11. What is the units digit of 6\/n*m\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 2*a = -36, -5 = -2*a - 1. Let k be -38*(1\/4 - (-6)\/f). Is k > 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -5*s - 2. Let p be r(-1). Solve 2 = f + p for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -9*h**2 + 11875*h + 84. Let c(t) = -21*t**2 + 27708*t + 198. Let z(b) = -14*c(b) + 33*r(b). Factor z(l).\nAnswer: -3*l*(l - 1321)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p - p + 330. Let k be (-6)\/(-33) - 144\/p. Let s(t) = 2*t**2 - 2*t + 1. Let q(d) = d**2. Let a(v) = 6*q(v) - s(v). Give a(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4\/9 + 46\/63. Suppose -7*o + 9*o + 2 = 0. Let d(c) = 2*c + 1. Let i be d(o). What is the second biggest value in v, i, 2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 427248 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Are -153672730 and -153672729 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (60\/12)\/((-7)\/(21\/18))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 3 + 0)*(0*y**2 - 2*y**2 - 3*y**2) - 2*y**2 - 3 + 3 + (4 + 0 - 3)*(y**2 - 3*y + 3*y))*(y - 3*y**2 - y).\nAnswer: -27*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -1\/4, 0.01, -18\/11, -12 in ascending order.\nAnswer: -12, -2, -18\/11, -1\/4, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*t + 39*t - 77*t.\nAnswer: -13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 111173521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 80 and 40?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence al when two letters picked without replacement from {a: 2, t: 2, m: 2, o: 5, g: 5, l: 2}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 406\/18279 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 15902\/7 - 2278. Let k = 835187 - 119432227\/143. Let h = 30\/13 + k. Calculate the common denominator of t and h.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/916 and -69\/20.\nAnswer: 4580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - t = 14. Which is smaller: -61\/9 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -465 + 468. Let c(d) be the third derivative of 0*d + 0*d**z - 1\/60*d**5 + 0 + 1\/24*d**4 + 6*d**2. Factor c(b).\nAnswer: -b*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 51\/12 - (-2)\/(-8). Suppose 0 = 28*q + 60*q - 352. What is the third derivative of -11*b**q + 2*b**2 + 9*b**4 - 31*b**w wrt b?\nAnswer: -792*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 134 = 4*i, 4*i - 3*i + 47 = 4*f. Let v be (i\/28)\/((-1)\/4). Let s(m) = m**2 - 5*m + 1. What is s(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10211.97 less than 0.01?\nAnswer: -10211.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.002865 to four dps.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 6*d*s*w**3 - 2*d*w**3 + 250*d - 7774*s*w**3 - 4*w**3 - 2*w**2 wrt d?\nAnswer: 6*s*w**3 - 2*w**3 + 250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ee when two letters picked without replacement from areununaaareeauae?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -264564, -529204, -793838, -1058466, -1323088, -1587704?\n\"Answer: 3*t**2 - 264649*t + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 5365*t**3 - 3*t**2 - 5*t + 6. What are the prime factors of o(1)?\nAnswer: 31, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(208) + (-1*sqrt(325))**2.\nAnswer: 4*sqrt(13) + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 80*g - 8162. Let p be f(131). What is the highest common factor of 171 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 157 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the second derivative of i**4\/12 + 5*i**3\/3 - 7*i**2 + 19*i. Suppose 5*p - 56 = 4*o, 6 - 20 = o - 5*p. Is a(o) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 49465954 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ooooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 327.1 - 327. Let i = 3 - 4. Let x = -194\/1309 - -1\/187. Which is the closest to u?  (a) i  (b) x  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 460698431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**2 - 4*c - 21. What is y(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let 8*r**2 - 6*r**2 + 8*r + 14 - 8 = 0. What is r?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(539) + 0)*-1)**2 + 0.\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 693, 1386, 2079, 2772, 3465, 4158?\n\"Answer: 693*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 684929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**3 - 2*k**2 + k - 4. List the prime factors of v(-5).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, -1\/20, 5, 252611?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -90000 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4.8 - 0.2. Let f = 1\/2141 - 4295\/27833. What is the fourth biggest value in -3, -33, w, f?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-3)\/j**(2\/13))**(-2\/17)*(j**(-3)\/j**(-2\/15))\/(j**(1\/3)*j)**(-13\/2) assuming j is positive.\nAnswer: j**(6819\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 - -1. Suppose -24 = -r - 3*r - 4*t, -r = 2*t - 10. Which is the nearest to r?  (a) 2\/7  (b) 3\/5  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 divided by -165?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*m**5*n - m**5 + 4*m**4*n + 4*m**2*n + 8*n wrt m?\nAnswer: -240*m**2*n - 60*m**2 + 96*m*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -180 + -58656625?\nAnswer: -58656805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -53791.02958 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -33*x + 325. Calculate r(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 2*s + 6. Let y be d(-4). Let h(k) = k**3 - 7*k**2 + 3*k - 6. Let m be h(4). Let c be 2 - (-1)\/(15\/m). Is c less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-11 - -4 - -4) + 3. Suppose a = 13*y - 48*y - 105. Let u(t) = t**2 + 3. Give u(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**3\/4 - 68*g**2 - 556*g - 1120.\nAnswer: (g - 280)*(g + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6467*q - 6518*q + 1797 = -1365 for q.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-447)\/149*1\/((6\/(-2))\/(-3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 2*x. Suppose -4*h + g + 343 = 0, -4*h + 4*g - 135 = -487. Let t = h - 42. Let w(y) = t*y + 13*y + 1950 - 1950. Determine c(w(d)).\nAnswer: 112*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11 + 8 - 2)*(-4 - 2 + 5)*(v - 5 + 19 - 128)*(-11 + 7*v**2 + 11).\nAnswer: 35*v**3 - 3990*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*g - 4*g + 2*g)*(-3*g - g + 6*g) + 0*g**2 + 0*g**2 - 2*g**2 + (0*g + 3*g - 5*g)*(-408*g - 41653 + 41653) - 2*g**2 + 0*g**2 + 4*g**2.\nAnswer: 820*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 33\/4*m**2 + 21\/8*m**4 + 9\/8 - 27\/4*m**3 - 39\/8*m - 3\/8*m**5.\nAnswer: -3*(m - 3)*(m - 1)**4\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 16, g: 2}. What is prob of sequence ggt?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v**3 + 3*v**3 - 3*v**3)*(-2 - v + 2) - v**4 + 2*v**4 + v**4 + 5*v**4 + 5*v**4 + 3*v**4.\nAnswer: 14*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8 - 2. Let i = -10.24 - s. Let p = -0.23969 - i. What is p rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -2*p**2 - 10*p + 2. Let f(g) = 3*g**2 - 4*g + 2. What is -6*f(d) + 3*n(d)?\nAnswer: -24*d**2 - 6*d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - (-3 - -1)) + 0 - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -99 divided by -66.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -44 - (19 - 33 - 27) - (1 - -15)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*t - 5*i - 20 = 3*t, -3*t + 5 = 4*i. Let c = -247 - -259. Solve c = t*r - 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 3*j**2 - 12*j - 32. Let r be s(-11). Let h = r + -303. Calculate the highest common factor of 20 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3754 + 5?\nAnswer: 3760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 66905485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 360 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-2 + sqrt(425))**2 + -3 + (sqrt(425) - (0 + sqrt(425))).\nAnswer: -20*sqrt(17) + 422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the third derivative of -x**6\/720 - 11*x**5\/120 - 7*x**4\/16 - 6*x**3 - x**2 - 16*x. Let t(a) be the first derivative of r(a). Factor t(q).\nAnswer: -(q + 1)*(q + 21)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 65883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -7*s**3 - 303*s**2 - 86*s.\nAnswer: -s*(s + 43)*(7*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1266, 2530, 3794, 5058, 6322?\nAnswer: 7586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 19 = 24. Sort -4, 5, -13, z.\nAnswer: -13, -4, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1721359553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17*b - 62*b - 37*b)*(0 - 7 - 6).\nAnswer: 1508*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3747293 + 4?\nAnswer: 3747297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 22 in 3, -1, 0.08, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the second derivative of 25*m**3\/6 + 1205*m**2\/2 + 6*m + 129. Differentiate q(i) wrt i.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (-1 - (-1 + -2)) + 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -987.8343 rounded to the nearest integer?\nAnswer: -988","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9035, -18017, -26943, -35807, -44603, -53325, -61967?\nAnswer: -70523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 85663 + 32129486.22.\nAnswer: 32215149.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 56\/9  (b) 1  (c) 1.53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 624, 0.5, 0.24 in descending order.\nAnswer: 624, 3, 0.5, 0.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10080 and 13680.\nAnswer: 191520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*s = -11*s + 22*s + 644. What is the highest common factor of s and 897?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 72\/210 + 3 + (-16)\/5. Factor -3\/7*f + 2\/7 + q*f**2.\nAnswer: (f - 2)*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 198 - 196. Suppose -55 = -c*h + f, 2*h + 3*f + 16 - 67 = 0. Is h != 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**3 + 8*t**2 + 2*t - 2. Let q be f(-9). Suppose -9*x = -2225 - q. Suppose 5*v - x - 267 = 0. Does 19 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20002 - -220?\nAnswer: -12012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -355 * -359.\nAnswer: 127445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00002432 to six decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2315*f - 1282*f - 2185*f + 2556*f - 2552*f.\nAnswer: -5778*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -9\/235?  (a) 0.3  (b) 4\/3  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 4472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:06 PM and 9:12 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 228 = 228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -2*p - 4. Let j be i(-4). Let c(q) = 31*q + 15*q + 27*q - 22*q - 4. Let d be c(j). Round d to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -723, -967, -1217, -1473, -1735?\n\"Answer: -3*a**2 - 235*a - 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 (base 14) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*o = 17*o + 44*o. Let o*p + 0 + 1\/6*p**2 = 0. What is p?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 3\/2, -3\/7, 4, 17 in ascending order.\nAnswer: -3\/7, 0, 3\/2, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 441*s**2 - 2*s. Let w(b) = b**2 - 39*b + 3. Let i(q) = 2*q**2 - 65*q + 5. Let m(g) = -3*i(g) + 5*w(g). Give r(m(l)).\nAnswer: 441*l**4 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 324*x - 551. List the prime factors of b(4).\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.4 and 4089?\nAnswer: 4088.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*-2*sqrt(7)*1 + -5)**2 + -1 + -2*sqrt(7) + 4 + sqrt(7) + 5*sqrt(112).\nAnswer: 139*sqrt(7) + 1036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -358*x**2 + 11390 - 11390 to f*x**2 + a*x + k and give f.\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*x**3 + 1677*x**2 + 9*x**4 + x - 1653*x**2 + 0*x + (2 - 4 - 2)*(-x + x - x**4).\nAnswer: 13*x**4 - 2*x**3 + 24*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine fifths of a milligram in micrograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 416 is divided by 414?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 3 - 1)*(33 + 7 - 5) + 4 + 1 - 3)*(2 + m - 2).\nAnswer: 72*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 1674386*v + 3348770. Determine h(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 12*i - 8710 = 0. Is 67 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -9398.875 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 16 and 10056.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-3))\/((-24)\/18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of g**5 - 4315*g**4 - g**2 + 128670*g wrt g.\nAnswer: 20*g**3 - 51780*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**3 + 4*k**2 + 4*k - 3. Suppose -4*r = -3*r - 4, -3*r = -2*s - 6. Let t be 8\/s*6\/(-4). Let h be 6 + 0 + t - -2. Determine n(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(500)*-2 - sqrt(500)) + -2 + 1.\nAnswer: -30*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 3 - 3 = 0, -2 = -2*p - 2*o. Let z(v) = -22*v + 4. Let k be z(-2). What is the greatest common factor of p and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 3, y: 1, a: 2, o: 3, t: 1}. What is prob of sequence ac?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes after 2:04 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 11 = -5*r, 0 = -3*r - 0*y + 5*y - 11. Let q = 38980 - 38975. Sort r, q, -1.\nAnswer: -1, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5502.023 centuries to decades.\nAnswer: 55020.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 + -112424121203?\nAnswer: -112424121203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 + -2. Let j = -2.06 - -2. What is the nearest to a in -1\/2, j, -1\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -430*r + 4. Let v be a(0). Let d = 3 + -2. Solve -3*m = -4*k - d, 0 = -3*k - v + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q + o + 87 = 114, 0 = 5*q + 2*o + o - 4*o + 47 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 4*v + 2. Which is smaller: v or -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from ccmmcjcm.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1726392804?\nAnswer: 2, 3, 143866067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0019972 rounded to four dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 896 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -24, 0, 1, -11, -36, 13, -4 in descending order.\nAnswer: 13, 1, 0, -4, -11, -24, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -16*j**3 - 2*j**2 + 1. What is f(1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -561540, -2246243, -5054082, -8985057, -14039168, -20216415?\nAnswer: -27516798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 190, 1, 0, -5 in increasing order.\nAnswer: -5, -4, 0, 1, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (45\/12)\/((-9)\/(-24)). Suppose 7*o + 6 = l*o. Suppose -3*d = -o*d - 21. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*d + 2*d**2 + 2*d + (1 - 1 - d**2)*(-1 - 1 + 0) + 4*d**2 - 5*d**2 + 0*d**2 - 2*d**2 + 5*d**2 - 4*d**2 - 47 + 47 - 7*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c + 10, -2*c - c = h - 53. Is h a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -12.6 - -13. Let y = -2.3 - 0.7. Let k = -2.8 - y. Which is the closest to 0?  (a) 3  (b) f  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 260130 to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -5, 0, 2 in descending order.\nAnswer: 2, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 731029 is divided by 182754.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 200 - (2 + -3) - -2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 398 minutes after 3:41 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 + (7 - (43 + -34 - 16)) + -1 + 70?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -83*y + 252 = 76*l - 73*l, 15 = 3*l + 4*y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m + 2*m + 2*m**3)*(14*m - 5*m + 13*m)*(-2*m + 2*m - m)*(-3 + 1 + 5)*(4 + 0 - 6).\nAnswer: 264*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5549 and 451329?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3669 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: b\"What is the zth term of -44448740, -44448742, -44448744?\n\"Answer: -2*z - 44448738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 4, 1\/4, 0.5, -0.022, 2?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*c - 19*c + 12*c)*(0*c**3 - 2*c**3 + c**3) + 3*c**4 + 0*c**4 + 0*c**4.\nAnswer: 23*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k - 5. Let p be j(0). Suppose -3*q - 5*v = -5, -7*q + 2*v - 2 = -10*q. Sort 1, q, p, -3.\nAnswer: p, -3, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 14*w**5\/3 + 370*w**4 + 316*w**3\/3.\nAnswer: 2*w**3*(w + 79)*(7*w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**2 - p - 3. Let d(w) = 5*w - 13. What is the remainder when d(6) is divided by b(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**2\/3 - j\/3 + 2\/3.\nAnswer: -(j - 1)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 7 = -3*y + 18, 3*l + 14 = 4*y. Let u(a) = -1 - 87*a + 87*a - 2*a**l - 1. Let q(c) = -2*c. Determine q(u(x)).\nAnswer: 4*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the second derivative of 3*g + 0 - 10*g**2 + 0*g**3 - 17\/12*g**4. Differentiate n(m) with respect to m.\nAnswer: -34*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -55*t**2 + 98355*t - 8342090.\nAnswer: -5*(t - 1699)*(11*t - 982)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -18*r*v*y**2 - 30*r*v*y - 378*v*y**2 - 2*v + 9*y**2 wrt r.\nAnswer: -18*v*y**2 - 30*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 47.82804 centuries to months.\nAnswer: 57393.648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-40)\/(-4))\/20)\/(-1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are -11270\/71 and -158 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -1551 times 3009\nAnswer: -4666959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pup when three letters picked without replacement from {e: 4, z: 7, p: 4, u: 3}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -39, -44, -53, -66, -83, -104, -129?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 39330218?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*c**2 - 292*c**2 + 177*c**2 - 583*c**2.\nAnswer: -717*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 5*j - 17 = -4*b, b - 17 = 4*j. Suppose -357 = -b*n + 6*n. Suppose -8*v + 25 + n = 0. What is the remainder when 159 is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -149\/26352 and -67\/72.\nAnswer: 26352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -24*i + 13*i + 13*i - 3266. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p\/p**(2\/19)*p**12 assuming p is positive.\nAnswer: p**(245\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 15\/6*40\/50. Suppose -2*o = 3*d - 21, 2*d + 2*d - a*o = 28. Let s(n) = -n - 7. Let y(q) = -q - 4. Give d*y(k) - 4*s(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*f + 31*f + 1665 = 0. Let b = f - -260. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 308205779 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -9463 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -413 + 410. List the prime factors of 6873\/9 + (-1)\/g.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 16 and 1412.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2132*i**4 + 2*i**2 + 2*i + 1056?\nAnswer: -8528*i**3 + 4*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 771714 and 124.\nAnswer: 1543428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 715087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -29\/11582 or 0?\nAnswer: -29\/11582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**2\/7 - 47*w\/7 - 440\/7.\nAnswer: (w - 55)*(w + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**2 + 6*b - 4. Let f be l(5). Let p be f*18\/(-15)*15. Let r be 4\/18 + 10\/p. Is 1 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2324618363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8718338 - 4852638. Round s to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 31537154 and 3058.\nAnswer: 3058","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**2\/13 + 4388*a\/13 - 2406818\/13.\nAnswer: -2*(a - 1097)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, 4, -428 in decreasing order.\nAnswer: 4, 1, -2, -428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-121)\/(-2)*2*-8*(-22)\/(2640\/15)?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6976710 divided by 34710.\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 - 2.5. Let l = 32 - 6. Let r = 26.4 - l. What is the biggest value in r, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 66368433?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Solve 33 + 11 = 1312*z - 1316*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 4*v + 5 = 0, -2*v + 13 = -c + 2*c. Suppose g = -5*q + 288, 4*q = 5*g + c*q - 1414. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/33*(-1404)\/20. Let n = -30\/11 - f. Suppose 0 = 2*w - 35*w - 66. Is w greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - -5)*(-64)\/224.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 0*b**4 - 24*b**2 + 15 + 24*b**2 + 7*b**4 wrt b?\nAnswer: 28*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10 + -64. Let b = z + 4. Let v = 70.0031 + b. Round v to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -43*u**3 + u**2 + 2*u + 5. Suppose -4 + 19 = -5*r. Is d(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*s**3 + 0*s**3 + 2*s**3 + (s - 4*s + 0*s)*(-s**2 + 3*s**2 + 0*s**2) + s**3 - 2*s + 2*s to v*s + q*s**2 + t + u*s**3 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 289 divide 5975227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 2405, 2421, 2437, 2453, 2469, 2485?\n\"Answer: 16*v + 2389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**2 + 11*l + 12. Let o be t(-9). Let h be 8\/15*o - -4. Factor 4\/5*p**4 - h*p**2 - 2\/5*p**5 + 0 + 0*p**3 + 2\/5*p.\nAnswer: -2*p*(p - 1)**3*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 + -3. Let s = k + -3.7. What is the closest to 0.1 in s, 4, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8806091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2519763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g - 1. Let b(i) = 5*i + 74. Let y(x) = -b(x) - 5*q(x). Let h be y(-9). Which is smaller: h or 25?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -41  (b) 3  (c) -2  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**0*t**(3\/19))\/((t**(-3)\/t)\/t)**(-4\/7) assuming t is positive.\nAnswer: t**(-359\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 217, 220, 223, 226, 229?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/4506 and 61\/6759.\nAnswer: 13518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 168 = u, 4*g - 5*u - 24 = 3*g. Let z = g - 43. Is z greater than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -0.04, -2, -2\/3, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -383*z - 109. Let k be x(4). Let j = 3285 + k. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 5*f - 37302 = 25842, -5*h + f + 105212 = 0. Let q = h + -15030. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.05 * -42\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*l**5\/5 - 4902*l**4\/5 - 602208*l**3 - 8989056*l**2\/5 = 0. Calculate l.\nAnswer: -1224, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.1 - 0.2. Let b = o - 0.4. Let d = -0.2 - b. What is the third smallest value in d, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 + -0.04. Let a = -132.96 - -138. Let w = a + z. What is the second smallest value in -0.5, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11 - 124\/(-44)) + 8.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -34*86\/(-3655)*(-10)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 38096.06mm to meters.\nAnswer: 38.09606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 185 + 231 - 61*x + 62*x in the form y*x + z and give z.\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -129*v - 72 = -135*v. Let o(n) = -4*n - 14. Let h be o(-4). Suppose 0 = h*x + x - 45. What is the smallest common multiple of x and v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1790 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2925987?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(3) + 1 + (sqrt(3) + 1)*-4 + 3 - (5*(1 + sqrt(192))**2 - 6*(sqrt(243) + -1)).\nAnswer: -972 - 29*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -15 + (7 + -7 + 6 + -1 - 2)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the second derivative of -n**8\/4 + n**4\/4 + 3*n. Find the third derivative of c(m) wrt m.\nAnswer: -1680*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 65318853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that a**2\/2 + 37024325*a - 74048652 = 0.\nAnswer: -74048652, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Total of 2.3 and 7.\nAnswer: 9.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 257311344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -13 in -2, -0.2, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*v - 7 + 22. Are -2 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 36995 + -36995.1. What is the nearest to -1\/2 in 21, -2, 1.7, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.27 + -3.73. Which is the smallest value?  (a) q  (b) -0.8  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 1 + 340*f - 600*f + 0.\nAnswer: -260*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -229174 (base 11) in base 3?\nAnswer: -200110201101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 36138837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 15113 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (6\/(-51) + 140\/34)*(-14)\/(-8). Let k(g) = -2*g - 5. Let n be k(-6). Calculate the highest common factor of n and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -153*b - 4. Let m(f) = 459*f + 12. Let w(h) = -2*m(h) - 7*r(h). Let d be 2\/29 + 39*253\/2001. Is w(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -2*u**3 + 5*u**2 + 22*u + 28. What is z(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the first derivative of -25*f**6\/12 + 25*f**5\/6 - 10*f**4\/3 + 4*f**3\/3 - 3*f**2 + 19. Let t(n) be the second derivative of u(n). Solve t(l) = 0.\nAnswer: 1\/5, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 3*s**2 - 180*s - 367. Let l be y(-2). Put -5, l, 673, -4 in increasing order.\nAnswer: -5, -4, l, 673","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**2 + 2971*s + 83948. Give o(-28).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 34890 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -5 + 7\/2 - 57\/6. Let m be 0 - l - 10\/(14 + -9). Solve 2*a + 3*a = o + 23, -3*a = o - m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 104 + -103. Suppose -7*p = -13 - b. Solve 0*s - 3*s - 5*n - 10 = 0, 0 = -3*s - n - p for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 96 and 101404.\nAnswer: 2433696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = 2*w - 75138, -i + 112674 = 3*w - 6*i. Let t = w + -3906453\/104. Find the common denominator of t and -97\/6.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:41 AM and 4:21 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -92 + 94. What is the nearest to -2\/7 in 0.04, s, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1107 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-2)\/(8\/(-218)))\/(18\/36). Suppose 115*s - 810 = n*s. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 3*i**4 + i**3 - i**2 - 2*i + 1. Let t(j) = -14*j**4 - 263*j**3 - 2052*j**2 + 38706*j + 40497. Let c(g) = 3*l(g) + t(g). Factor c(b).\nAnswer: -5*(b - 9)*(b + 1)*(b + 30)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**2\/2 + 56062*d - 7279610.\nAnswer: -(d - 111994)*(d - 130)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -7152, -14301, -21450, -28599?\n\"Answer: -7149*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.1 + -0.1. Let i(r) = r**2 - 4*r - 12. Let h be i(6). Which is the fourth smallest value?  (a) h  (b) 2\/11  (c) m  (d) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 13\/6  (b) -1\/3  (c) 0.04  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.2 - 15.3. Let a = -19.7 - r. Round a to 1 decimal place.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 5) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.00313 + -16.99687. Let m be 1\/(-5) + (-4 - -4). What is the closest to 2\/3 in m, 3\/2, s?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4884 and 3445662?\nAnswer: 6891324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 42  (b) 5  (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dedssdd. What is prob of sequence dddd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k and 2 s when four letters picked without replacement from ssskkk?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -2*g + 639 - 143, 0 = -2*a - 5*g + 484. Solve 2*i - 256 = -a for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2\/3 + 8\/3. Let i = -5096.31 - -5096.81. Sort i, v, -1\/6 in decreasing order.\nAnswer: v, i, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.7  (b) -1\/8  (c) -1  (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 64 - 61. Suppose n*z - 5*b = -3*b + 401, 0 = -z - 5*b + 145. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27872*r - 14566*r - 13303*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = 8*z - 6. Let x = z - -51. Is x at most as big as 50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3227507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13 - -12 - -3) + -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 + 10. Which is the second smallest value?  (a) f  (b) 3  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -126*z - 1305 = -155*z. Let s(v) = v**2 + 3*v - 6. Suppose 4*c + 5*a + 39 = 0, -2*c = -6*c - 2*a - 30. What is the remainder when z is divided by s(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iai when three letters picked without replacement from imrmmiiiiamimmii?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n + 4*n + 254. Suppose -g + 238 = 2*v, -2*g = -2*v + g + n. Suppose 0*w = w - 11. What is the highest common divisor of w and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -35\/81 and -89\/36?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 58\/3, -0.4, 4, -4, -30 in decreasing order.\nAnswer: 58\/3, 4, -0.4, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2447 + 2452. Calculate the smallest common multiple of l and 515.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33*n**2 + n**2 - 34*n**2 + 4825*n**3.\nAnswer: 4825*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7.4798 - 8.2.\nAnswer: -0.7202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1554781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 15, 0.1, -0.4, 2\/25, 1\/18, 26?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1360873 - 1360874.640109. Let l = 1.64 + y. What is l rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 12\/18*3\/2 + 1. Solve w*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 156 + -464\/3. Let f = 2 - 6. Let o be ((-1)\/(-6))\/((-1)\/(-4)). What is the nearest to o in 1, f, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u, 1 b, and 1 y when three letters picked without replacement from bbbbbybbbbbub?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 28998121\/8104818 - 14606\/3077. Let r = -1\/439 - p. Determine i, given that 1\/2 + 1\/3*i**2 - r*i = 0.\nAnswer: 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the first derivative of 3*f**5\/5 + 3*f**4\/2 + f**3 + 5. Factor k(j).\nAnswer: 3*j**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 223 minutes before 5:31 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3889815676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 194 a factor of 29423592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 12882, 51628, 116222, 206664, 322954, 465092, 633078?\n\"Answer: 12924*r**2 - 26*r - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**3 - 19*h**2 + 37*h + 51. Let d be y(18). Let n = d - 377. What is the smallest common multiple of n and 824?\nAnswer: 1648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -462294*v**2 - 914693*v - 2?\nAnswer: -924588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -46*t + 10*t - 288 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 19*o. Let q(i) = 3*i**2 - 4. Suppose -w + 28 = -5*x, 0 = 2*x + x + 4*w + 26. Let p(c) = -3*c**2 + 6. Let f(y) = x*q(y) - 4*p(y). Determine f(g(v)).\nAnswer: -2166*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7784 - 2925. Suppose 108*k - 65*k - s = 0. What is the least common multiple of k and 8?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1\/3  (b) 4  (c) -6  (d) 1\/3  (e) -3  (f) -396\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65294 is divided by 558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in nine tenths of a century?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -102 - 148 = 389*m + 139 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (235\/705)\/((-2)\/(-120))*(-1)\/4. Put n, -3, 0, 9, -7 in increasing order.\nAnswer: -7, n, -3, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 6*c - 7. Let z(t) = 5*t - 6. Let q(a) = 3*p(a) - 4*z(a). Let o = 10 + -4. Suppose 2*u + 0*u = o. What is q(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -47.058 and 2313121.\nAnswer: 2313073.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 504 and 4312?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/11  (b) -241  (c) 7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 263*n - 495703 = -497544 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 2*r**3 + 33*r**2 + 18*r + 28. What is p(-16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 439753536 to the power of 1\/2, to the nearest integer?\nAnswer: 20970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 2*h**2 + 6*h + 3. Let k be a(-3). Factor 2*b**4 - 4*b**2 + 0*b**3 - 2*b + 9 - k - 4 - 2*b**5 + 4*b**3.\nAnswer: -2*(b - 1)**3*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nurndjul. Give prob of picking 1 u, 1 d, 1 l, and 1 n.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 15159 and 815.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q + 5. Suppose z = 4*z. Calculate the remainder when 9 is divided by v(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 763631*h**2 - 24 - 97 - 131 - 763634*h**2 - 47 + 39.\nAnswer: -3*h**2 - 260","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -53*u - 29*u - 3*u. Let f(v) be the third derivative of v**4\/8 + 74944*v**2. Determine f(y(d)).\nAnswer: -255*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 47 + -14. What is the greatest common divisor of d and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-29 - 85 + 263)*(2 - 2 - 5)*(3 - 2 + 1)*(1 - 4 + 4)*(2 + r**4 - 2) to q + c*r**2 + f*r + j*r**4 + n*r**3 and give j.\nAnswer: -1490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5035.137 millennia?\nAnswer: 60421644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -362 + 379 - (28 + 2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 65525, 131156, 196857, 262622, 328445, 394320, 460241, 526202?\n\"Answer: -w**3 + 41*w**2 + 65515*w - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 56436 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-nine fifths of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*q**3 - 7 + 7.\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 = -n - 14. Let i = n + 489. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in -0.06, 0, -0.1, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 159977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**3 + m**2 + 16. Does 16 divide n(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 579 = 5*j, -g - 4*j + 2*j = -588. What is the greatest common divisor of 216 and g?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 932236.11725 - 932351. Let x = 1.88371 + r. Let d = x + 113. Round d to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) -0.07  (b) -7  (c) 90  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 10*u - 72. What is the remainder when 28 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -12*p**3 + 31*p**2 - 2*p - 2. Let n(o) = 48*o**3 - 125*o**2 + 9*o + 9. Calculate 9*l(z) + 2*n(z).\nAnswer: -12*z**3 + 29*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 206 - 1441\/7. Which is the third biggest value?  (a) 4  (b) -2  (c) -6  (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 divided by 9474854.\nAnswer: -13\/9474854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 39.06 - 34.06. What is the nearest to 0.1 in -2, 555, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 31 + 2\/2 + -3 - 1. Let i = b + -18. Suppose i = -0*h - 2*h, -12 = v + 3*h. Solve 2*t = -v*t + 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -l**3 + 1440*l**2 - 17407 wrt l?\nAnswer: -3*l**2 + 2880*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = i + i. Suppose 0 = -4*x - 5*g - 8, 3*x + 4*g = 1 - 8. Suppose 4*c - 110 = -102. Solve 0 = -4*d - x*h + 28, -3*d = c*h - 4*h - i for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*j**2 + 2*j - 2*j)*(0 + 10 + 1)*(-3*j**2 + 3*j**2 - j**2) to the form g*j**4 + r + l*j + h*j**2 + m*j**3 and give g.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1*(-11 + (-13 - -19)). Put 4, n, 38, -3 in ascending order.\nAnswer: n, -3, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -21 + 33 + -6 + (1 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z + 2*z. Let a = 1 + -1. Let l = a + z. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00042886785 rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -4*p**2 + 8837*p - 114249. Calculate v(13).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*r**3 - 15*r**4 + 0*r**2 + r**2 - 2958 + 2965 to the form i + u*r**4 + k*r + f*r**3 + l*r**2 and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 27528132*n**3 + 24942668 wrt n?\nAnswer: 82584396*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -2*a. Let q(d) = 18448*d. Give n(q(w)).\nAnswer: -36896*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2022 - -3320. What is the greatest common factor of 22 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 674 and 26623?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 597732192 and -15360.2?\nAnswer: 597747552.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-2\/39))**(-23) assuming y is positive.\nAnswer: y**(46\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l - 13 - 2. What is the second derivative of -16*z + z**5 - 20*z**l - z + 2*z wrt z?\nAnswer: -380*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j - 9. Calculate o(-21).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -19951, -39739, -59539, -79357, -99199, -119071, -138979?\nAnswer: -158929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -289476 or -289344?\nAnswer: -289476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g = 2*k + 5, 0*g + 4*k - 5 = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -73  (b) -4  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**3 - 139*s**2 + 1652*s - 24015. Give z(-151).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 121233671 to the nearest integer?\nAnswer: 11011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, 18, -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.04 in -0.27, -1.3, 5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 19 and 194313.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 43544.72l?\nAnswer: 43544720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -737598761, -1475197519, -2212796277, -2950395035, -3687993793, -4425592551?\nAnswer: -5163191309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**2. Let a(g) = 3404485*g**2. Calculate a(w(z)).\nAnswer: 3404485*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.32 + -3.48. Let f = -3.03 - j. Let o = 0.23 + f. Which is greater: 8 or o?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 22922 = -2*k, 0*z + 4*k - 5727 = z. Let h = z - -12631. What is h rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49489 + 55898 = 51*k - 64698. What are the prime factors of k?\nAnswer: 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 5, b: 7, o: 2, d: 1, y: 1}. What is prob of sequence yb?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1\/5  (b) 3  (c) 0.3  (d) 1  (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 8.182872 millimeters?\nAnswer: 8182872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1546*d - 407 = -1509*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {h: 2, j: 18}.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - r = -104, 5*t - 92 = 2*r - 0*r. Let h be -29 - -33 - (1 - 1). Solve 0 = -4*y + 16, 4*y + h = -5*w + t for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 270*m**2 - 194*m - 2417. What is the hundreds digit of c(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/936 and -71\/252.\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 374 + -373.5. What is the second biggest value in 67\/2, -5, 0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ct when two letters picked without replacement from {t: 2, s: 2, c: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b - 2*m = -2*b, -4*b = -m + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8 - -29) + -12 + 6 + -3 + 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*k**4 + k**5 - 4*k**4 + (-3*k**5 + 5*k**5 - k**5)*(5 - 7 + 0) + k**5 - 4*k**5 + k**5.\nAnswer: -3*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 1 j, 1 s, and 1 x when four letters picked without replacement from {j: 3, p: 1, z: 5, x: 4, s: 1, u: 4}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:01 PM and 2:00 AM?\nAnswer: 479","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Solve -18*w - 478 = 36*w + 116 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4 - 0. Suppose -45 = r + c*r. Let v(z) = z**2 + 10*z + 12. What is the units digit of v(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 5230856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5410 - 5404. Suppose -4*a = f - 149, 4*a + 5*f - 143 = 2*f. Calculate the remainder when a is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -57*v**2 - 32*v + 8. Let f(j) = -19*j**2 - 12*j + 3. Let m(y) = 8*f(y) - 3*z(y). Let p(x) = -21 + 46 - 25 - x. Calculate m(p(u)).\nAnswer: 19*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 13) in base 3?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (26*r - 13*r - 27*r)*(-38 - 18619*r + 35 + 18721*r) to u + b*r**2 + n*r and give b.\nAnswer: -1428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 93 = -5*b. What is the tens digit of 12\/b + (-488)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**10*g*g\/(g\/(g\/g**(2\/43))*g)*g**(-8)*g**7 assuming g is positive.\nAnswer: g**(428\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*u = -4*a - 17*u - 28, -5*a + 4*u = 9 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (6\/9)\/(1\/(105\/14)). Solve 3*x - 3*m = 15, 0*m + 4*m + 22 = c*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + n = -11 + 13, 3*n - 6 = 2*k. Suppose -5*d + 58 - 13 = k. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58 is divided by 47?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s + 41404*m + 57 = 41400*m, 5*m = -17*s + 231 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 775 = 37*l - 853. Calculate the remainder when l is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -5, 57, -3 in increasing order.\nAnswer: -5, -3, 5, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3318362 by 1.\nAnswer: 3318362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*h**3 + h**3 - 3*h**3.\nAnswer: -15*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -5  (b) 1.0549  (c) 1\/7  (d) 1\/2  (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in seven halves of a minute?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -28\/3, -7, 3, 14214?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-1 + 0)\/2*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*2*sqrt(8) - ((sqrt(8) - (sqrt(8) + 1)) + sqrt(8) + -3).\nAnswer: -26*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 8 + 2 = 0. Let u be 10\/5*3\/v. Calculate the remainder when u\/2*(-6)\/(-1) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0002193403 rounded to six dps?\nAnswer: -0.000219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101011011101101110 (base 2) to base 9.\nAnswer: 301181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*g = -7*g - 90. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (14 + -11)\/(63\/84) - 16\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u + 768240*t - 768245*t - 10 = 13, u = 4*t - 32 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7646020*m**2 + 14060633*m**2 + 7113830*m**2.\nAnswer: 28820483*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 19191 > 19860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -7*t**2 - 12732*t + 114699. What is d(9)?\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.3 or -156?\nAnswer: -156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) -9  (c) -4\/7  (d) -5405\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**2 + 388*b - 6457. Let c be v(16). Suppose -i + 14 = -33. Solve 0 = 2*g + 2*d - 20, c = -3*g - 5*d + i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3*a**3 + a**2 - 1791*a + 6661?\nAnswer: -9*a**2 + 2*a - 1791","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 30 + -15. Let x = 4 + p. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g*((g**(2\/3)*g)\/g)\/g*g*g)**(-2\/27)\/(g**(-4\/7)*g*g)**2 assuming g is positive.\nAnswer: g**(-1774\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -323 + 477. Which is greater: 155 or w?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 + -1 + (24 - ((19 - 17) + 15 + 75))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 32474671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 - 0)*(0 - 1). Let p be (1 - (-2 + 3))\/h. Let n be (-4)\/22 - 12\/33. Is p greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -595930560 divided by 8222\nAnswer: -72480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9367*v + 2*d = -9371*v - 22, 27 = -4*v - 3*d for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*w - g + 2, 28*w + 2*g - 1815 = -1829 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9 - 1. Let s be -2*1 + (56 - 11). Suppose -r = 6 - s. Calculate the remainder when r is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 93019?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -100101110 (base 2) to base 5\nAnswer: -2202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-21 - -19) + 11 + -16 + 7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41050849?\nAnswer: 7, 19, 79, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -101\/22 and -41\/270?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 208 is divided by 71.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -8668 - -4?\nAnswer: -8664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (4 + (2*sqrt(363)*6 - sqrt(363)) - ((sqrt(363) - (sqrt(363) - (-1*sqrt(363) + -5))) + 5))**2 + 0.\nAnswer: 1056*sqrt(3) + 52291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -560.878974 - -3.\nAnswer: -557.878974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -140 + 163. What is the remainder when f is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9*(-170)\/(-4131)*12\/(-10).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 46\/5 of a centimeter?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 37 + -18. Let q be g\/7 + 4\/14. What is m in -4*m**2 + 0*m**3 - m**q + 5*m**3 - m**4 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the third derivative of -f**6\/720 + f**5\/24 - f**4\/24 - 2*f**2. Let s(y) be the second derivative of t(y). What is s(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 97438*b + 1948763. Give g(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/12  (b) -18.604  (c) -15.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that 2768 - 24229*m + 50684*m - 2*m**3 - 25067*m - 1382*m**2 = 0.\nAnswer: -692, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 557 minutes after 9:29 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (0 - -93) - (63 + (15 - (56 + 9)))\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**(2\/125)*b*b*b*b\/b**(-12\/7))\/(b*b**(1\/27)*(b**4*b)\/b))**39 assuming b is positive.\nAnswer: b**(520039\/7875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -13, 4, -483, -3 in decreasing order.\nAnswer: 4, -3, -5, -13, -483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the third derivative of 1\/6*z**4 + 0 - 25*z**2 + 0*z + 0*z**3 - 1\/45*z**5. Factor o(i).\nAnswer: -4*i*(i - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24509\/(6\/28 + -8*5\/(-140)).\nAnswer: 2, 24509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 30*y**2 - 4*y + 41. Is d(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 971.48 rounded to the nearest 10?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 40040836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 30030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-r**2 + 2*r - 2*r)*(3*r**2 - 9 + 9) + 19*r**4 + 55*r**4 + 33*r**4 to v*r + x*r**2 + g*r**3 + i + k*r**4 and give k.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4 and -238.535.\nAnswer: 954.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9294 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**2 - 5*b - 17. Let z be t(7). Let i(c) = -5*c**3 + 3*c**2 + c + 4. Let r(p) = -14*p**3 + 8*p**2 + 3*p + 11. Determine z*r(q) + 8*i(q).\nAnswer: 2*q**3 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 42*m - 459. Let h be b(11). Solve 5*k + 2*w + 7 + 8 = 0, h*w = -2*k - 17 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9, 31, 89, 201, 385, 659, 1041?\nAnswer: 1549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the second derivative of 173*s**6\/30 + s**3\/6 - 8*s**2 - 271*s. What is the second derivative of j(d) wrt d?\nAnswer: 2076*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -23 and -671.7?\nAnswer: 648.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-4)*-1 + (-1)\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -5*g**2 - 39 + 10*g**2 + 15*g - 85 - 4*g**2. Let o be q(-21). Solve s + 2*m - o = 3*s, 3*s + 5*m = 37 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1 - 6 - (-36 - -26)) + (4 - 20)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -224*v + 451*v - 225*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 779 - -4218. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1078*z - 6 = 1072*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*f**5 - 34*f**5 + 17*f**5)*(0 + 0 + 2) + f**5 + 0*f**5 + f**5.\nAnswer: -12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y + 2 = 8*y. Let g = -1 + 3. What is the remainder when y is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 - -190. List the prime factors of r.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 20*c. Let u(j) = -14*j**2. What is u(t(f))?\nAnswer: -5600*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/3 - (-80)\/24. Suppose a*f - 5 = 2*f. Calculate the remainder when 3*(-82)\/(-15) + (-122)\/305 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 2, h: 4, p: 4}. What is prob of sequence tthp?\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**2 - 2*q - 3. Let y = 17 + -12. Suppose y*k - 60 + 20 = 0. Does 15 divide t(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 33292, 33293, 33294, 33295, 33296?\n\"Answer: c + 33291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*u = -42*u + 342. Let k = -119 - u. What is the fourth smallest value in 4\/7, 0.3, 4, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 186790875 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9\/22 + -12\/11. Let x = 26 + -22. What is the closest to -4 in a, -1\/3, x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 3*h - 5. Let v be z(2). Is 19 a factor of (836\/(-55))\/(v\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (28 - 24 - -2) + -11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and -837258?\nAnswer: 3349032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8167 + 16322 - 15659*v - 8155 to h*v + p and give h.\nAnswer: -15659","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 4*x = -2*f + 9, -5*x = 5*f + 5. What is the closest to f in 0, 0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -7*a**2 - 1348*a. Let b(y) = 4*y. Calculate n(b(p)).\nAnswer: -112*p**2 - 5392*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3.72 + 0.28. Let g = -0.9 - 0.1. Let m = g - -0.5. What is the smallest value in p, -0.2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j - 4*j + 55. Suppose 22 + 2 = 4*y. Solve -y*s = -3*s - c + j, -3*s - 21 = -3*c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -180811, -723286, -1627411, -2893186, -4520611?\nAnswer: -6509686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g, -3*r = -r - 4*g - 70. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in o + 14*o - 2*o**3 - 15*o.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**2 + 166*j + 1279. Let t be c(-158). What is the greatest common factor of 120 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7\/(-42))\/(-2 + 9 + 43\/(-6))*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 77\/2 + -38. Which is the nearest to -1?  (a) 4  (b) w  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -5*o - 4*h + 27, -3*h - 21 = -3*o. Solve -5*l = 4*v + 9, 6 = -4*l - 2*v - o for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**3 + 12*a**2 - 26*a - 6. Let x be p(9). Factor 0 + 1\/3*g**4 - 5\/3*g**x + 7\/3*g**2 - g.\nAnswer: g*(g - 3)*(g - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/48 in 2\/5, 6\/11, -5, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11 + 20. Let w be 69\/s - 2\/3. Let b(a) = a**3 - 4*a**2 - 9*a + 1. Is b(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -2*r - 2544 + 2564. Solve k + 4 = x, 51*k - 50*k + 4 = -r*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 44*z + 3596 + 4401 + 1467 - 1254 + 371.\nAnswer: 44*z + 8581","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5*t*v**2 - t*v - 13*t + 156171*v**3 - 312*v + 2 wrt v.\nAnswer: -10*t + 937026*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**3 + 7*w**2 - 8*w + 16. What is g(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-16)\/(-480)*28)\/((-4)\/10).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.7 + 0.3. Let r = 73644.5 + -73644. Let z = -3\/97 + -179\/485. Sort r, -5, z, u.\nAnswer: -5, z, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1216584 divided by -4?\nAnswer: 304146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (0 - -1)*-1 - 0. Is 2\/69 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 201451?\nAnswer: 201451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-6*sqrt(77)*4 + 6*1*sqrt(77))\/((sqrt(28) - 5*sqrt(448))\/sqrt(4)*-4).\nAnswer: -9*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2\/(-10))\/(36\/(-132)). Let z = n - 2\/5. Factor 1\/3*r**3 + 1\/3*r**4 - 1\/3*r + 0 - z*r**2.\nAnswer: r*(r - 1)*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -1363\/6, 2, 0.3 in increasing order.\nAnswer: -1363\/6, 0.3, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 21 and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -9 + 7 - 700*r + 694*r + 115. What is o(20)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let x = 120 + -34. Let z = x + -82. Put -2, -1, z, 1\/5 in descending order.\nAnswer: z, 1\/5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 520 + 789 + 531 - 403 - 666*b wrt b.\nAnswer: -666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/22 - (-280)\/693. Let z = 59 + -104. Let x be 3*5\/z*-3. Which is the second biggest value?  (a) n  (b) 2  (c) x  (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the first derivative of 59*r**2\/2 - 8*r - 21. Let i be u(2). What is the greatest common divisor of 22 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bl when two letters picked without replacement from {l: 7, u: 9, b: 1, m: 2}.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 4\/57 and (-2)\/1 + 1096\/96.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2043121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -39 + 8 - 1898*b + 31 as l*b + y and give l.\nAnswer: -1898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 291177 - 291177. Let u = -3\/692 - -1007\/72660. Which is smaller: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, f: 1, r: 5, w: 1, g: 3, n: 2}. What is prob of sequence ngw?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 68869 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -293 divided by 540119\nAnswer: -293\/540119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*t**2 - 2*t**2 - 2*t**2 + 0*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**3 - 2*q**2 - q + 1. Suppose -2*h = -4*h - 4. Let o be i(h). Let x = -6 - o. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-19726)\/(-50724))\/(7\/66).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 2*q**2 - 3*q - 185. Let s be z(-9). Solve 2*i + i = 3*b, -2*b = -s*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 57*m**2 - m + 31. Let l(g) = 3*g**2 + 22*g + 11. Let x be l(-7). List the prime factors of j(x).\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12478 and 3536.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5 + 173138582042.\nAnswer: 173138582041.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 6*a**2 - 24*a - 37. What is the remainder when l(9) is divided by 61?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - 214\/(-52))\/((-1)\/8*3).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2010 - 2866 = 107*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 40188493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.27 - 0.1298518744.\nAnswer: -0.3998518744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 - 3cb0?\nAnswer: -3cb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20211609, 20211617, 20211627, 20211639?\nAnswer: 20211653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4 - -5. Let v(h) = -h**3 + 3*h**2 + 7*h - 12. Let w be v(3). What is the highest common divisor of t and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10862, -10902, -10942, -10982, -11022, -11062?\nAnswer: -11102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 4, -25, 6, 1 in decreasing order.\nAnswer: 6, 4, 2, 1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 351184, 351182, 351180, 351178, 351176?\n\"Answer: -2*a + 351186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -3*n + 14. Let i(l) = 2*l - 14. Let a(k) = -4*i(k) - 3*o(k). Let v be (66\/(-44))\/((-462)\/120 - -4). What is a(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -41, -29, 7, 79, 199, 379, 631?\nAnswer: 967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2591954 is divided by 2514.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the second derivative of -i**4\/4 - 2*i**3 - 9*i**2\/2 - 2*i - 14. Solve v(q) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 18*z - 6. Let d be y(3). What is the highest common divisor of 12 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -152  (b) 8\/11  (c) 2\/7  (d) -2\/281\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -15\/7 + 83\/42. Let m = 11 + -6. Let g(w) = w - 4. Let s be g(m). Which is the nearest to 2?  (a) d  (b) -4  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m - 4. Let j(p) = -868*p**2. What is w(j(g))?\nAnswer: 868*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 96 + -119 + 26 + (0 - 92).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3130\/7 + -442. Determine q, given that -8\/7*q - o*q**2 + 0 - 4*q**3 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 2*z**2 - 2*z + 2. Let j(u) = -8*u**2 + 9*u - 9. Let i(p) = 2*j(p) + 9*o(p). Let y(n) = 6*n**2 + 0*n**2 + 19*n**2. Calculate y(i(l)).\nAnswer: 100*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 3*l = 4*l - 10, 20 = 2*m + 4*l. Solve -m = k + 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i**2\/11 - 30*i\/11 - 28\/11 = 0 for i.\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -0.126*-8771\nAnswer: 1105.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f + 1932 - 132. Suppose 0*a = -5*a + i + f, -2*i + 83 = a. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*sqrt(52)\/sqrt(4) + sqrt(13) + -2.\nAnswer: -2 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -28, -2, -1, 0 in ascending order.\nAnswer: -28, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 53500524 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z**3 + 3*z**2 + 4*z - 2. Suppose 5*b - 270 = -5*y, 4*y + b - 143 = 67. Suppose y = 10*t + 72. What is k(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = 2*l - 18, -4*g + 55 = g + 3*l. Suppose -g*a + 11*a - 816 = 0. Is a a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -10.8, -3.1, 5\/6, 15, -0.1, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(-2\/9))**(-1\/5)*(o**1)**(10\/9) assuming o is positive.\nAnswer: o**(43\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 + -2. Suppose -r + 4*h - 4 = 8, k = -2*r - 3*h + 31. Let o = 219 + -218. What is the greatest common factor of o and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 10 = -0*g, 0 = -4*w - 3*g + 5. Find the second derivative of -41*z - 3*z**4 + w*z**4 + 32*z wrt z.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -30 + 34. Sort o, 5, 3 in ascending order.\nAnswer: 3, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-30))\/(((-15)\/25)\/((-18)\/(-10)))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1333213321 + 2232?\nAnswer: -1333211023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r**2 + 12*r - 11. What is the remainder when 81 is divided by c(8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18)\/(-1 + -1)*6\/(-18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 290455?\nAnswer: 5, 11, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -1242.4062 to the nearest ten.\nAnswer: -1240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes before 4:10 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 - 1787b?\nAnswer: -17881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 3 b when four letters picked without replacement from bmbummmmmbmmmumb?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 o when two letters picked without replacement from {o: 2, i: 1, j: 6, v: 3, w: 1}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -3178606 less than 25572?\nAnswer: 3204178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -18. Let u(k) = -k + 18. Let m(v) = -3*f(v) - 4*u(v). Is 10 a factor of m(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the third derivative of 0*n**5 + 1\/24*n**6 + 0*n**4 - 4*n**2 + 1\/6*n**3 + 0 + 0*n. Differentiate j(h) with respect to h.\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -536005.40023 - -535980.4. Let h = o + 25. What is h rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 39 and 1027?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 a and 1 f when four letters picked without replacement from {a: 4, f: 1, r: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 1257 divide 60145809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m**3\/9 + 1250*m**2\/9 + 194686*m\/9 - 195938\/9 = 0 for m.\nAnswer: -313, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rgmggugmrmmgu. Give prob of sequence mgg.\nAnswer: 20\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -23\/1376898 and -101\/728946.\nAnswer: 12392082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -2051797100 to the nearest 1000000.\nAnswer: -2052000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 150452219 to the nearest integer?\nAnswer: 12266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 21\/7 + 1*11 and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 47, 187, 421, 749, 1171?\nAnswer: 1687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 120 - 114. Let x(y) = y**3 - 6*y**2 - 2*y + 7. What is x(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the first derivative of -u**2\/2 + 18*u - 125. Suppose 4*q - 3*q - 31 = -4*l, -5*l = -5*q + 55. Let g be w(q). Which is smaller: -3 or g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*m - f + 1, -m + 3*f - 1 = 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**2 + 9*z - 12. Let t(g) = -g**3 + 6*g**2 + 7*g + 3. Let a be t(7). Let k be ((-4)\/a)\/(5\/(-30)). Let v be p(k). Do -4 and v have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - 974411205492.\nAnswer: -974411205495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o**3 + 9*o**2 - 15*o - 4. Suppose -680*t = 3*h - 684*t + 15, 33 = h + 5*t. Calculate v(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -241*l**3*v**3 - 2*l**3*v**2 + 260*l**3*v + 19*l*v**3 - 4*l - 2*v**3 wrt v?\nAnswer: -1446*l**3 + 114*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**3 + n**2 - 3*n - 9. List the prime factors of f(-6).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5553.4409 to the nearest integer.\nAnswer: -5553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -715 + 1270. Let d = b - 466. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjzz. What is prob of picking 2 j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 14.2 + -13.8. Which is the closest to -6?  (a) p  (b) 3\/2  (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**3 + 10*s**2 + 13*s + 33. What is u(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(-3)*(0 - 21). Let l(n) = 5*n**2 + 5*n**2 + 0*n**3 - q - n**3 - 4*n**2. What is the tens digit of l(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*y - 4186 = 11*y. Let j = y + 173. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(91)\/(sqrt(21)\/sqrt(3)) - -4*sqrt(117).\nAnswer: 13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 203 - 19283\/95. Suppose -3*h = -5*q - 8, 3*q + 3*h - 5*h + 5 = 0. Which is smaller: a or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**3 + m**2 + 5*m - 3. Let f be w(3). Let j = 8 + f. Is ((-2)\/6 - j)*-6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 4*l = -42, 0 = 3*i - 3*l - 147 + 39. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 168105 bigger than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Is 304 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the first derivative of -i**2 + 17*i - 21. Let a be s(5). Let v(c) = -c**3 + 6*c**2 + 10*c + 1. What is the least common multiple of v(a) and 1?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w - 1. Let m be u(-2). Let v(p) = 3*p - 1. Let o be v(m). Suppose -o = -4*k + 18. Solve -k = 2*r + j, -3*r - 5 = -5*j - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = k - 6*o, -32 = -3*k - o. Suppose -12 = -2*n + k. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s. Let x(h) = 10*h - 6. Let m(f) = 4*a(f) - x(f). Let v(o) = -5*o + 5. What is -4*m(w) + 5*v(w)?\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 181564*s - 91289*s - 3*s**3 - 90275*s.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 144 greater than -1.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-78)\/(-15) + (-1)\/5. Suppose 0 = v*u - 20, -5*u = -q - 2*u - 6. Let r = q - 4. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*r - r - 4*r)*(-4*r**2 - 3*r + r + r**2).\nAnswer: 3*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3827008.\nAnswer: 2, 59797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve k + 4*v - 40 = -4*k, -2*v = -10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*p + 2*p + 3*x + 13, -2*p + 3*x = -7. Suppose -b = -p*b. Let r = b + 15. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 90991 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -1084*y**2. Let o(b) = -2*b**2. Determine o(u(m)).\nAnswer: -2350112*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -347034396 >= -347034395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*s**3 + 2*s**3 + 6*s**3)*(0 + 1 + 3*s - 5*s) + (4*s**3 - 3*s**3 + s**3)*(-3*s + s + 0*s) as n + q*s**3 + r*s**2 + y*s**4 + z*s and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4355, -8422, -12219, -15746?\nAnswer: -19003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2*z**3 - 4)*(-4 + 4 + 1)*(0 + 4 - 5)*(-16*z + 2*z - 32*z) + 4*z - 4*z + z**4 + (-2*z**4 + z**4 - z**4)*(-1 - 2 + 2) + 2*z**4 - z**3 + z**3.\nAnswer: -87*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -84*j - 106*j = 224*j - 44*j + 19980 for j.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -958*o + 476*o + 483*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cu when two letters picked without replacement from {c: 5, w: 2, x: 11, u: 1}.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 73764931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 4570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -20*b**2*j**3 + 97*b**2*j + 2*b**2 - 110*b*j**2 + 577*j**3 wrt b?\nAnswer: -40*j**3 + 194*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -79 - -81. Suppose v + 15 = 2*y, a*y - 25 = 4*v - 13. Let l(j) = -5*j - 3. Let s(h) = -2*h - 1. Determine y*s(f) - 3*l(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1674, -2764, -4580, -7122, -10390, -14384?\nAnswer: -19104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 8, y: 3}. Give prob of sequence fyy.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(9072) - (-2*sqrt(9072) + sqrt(9072))) + (sqrt(9072) - (sqrt(9072) + (sqrt(9072) - (sqrt(9072) + -1 + 1))**2)) - (3 + 5*(sqrt(9072) + 0)))*3.\nAnswer: -1404*sqrt(7) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 114900223.\nAnswer: 71, 349, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/6)\/(37\/(-888)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -6*i + 63. Let p = 95 - -43. Let m = p + -159. Is q(m) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*s = 646050 - 645770 for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 22910219 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 212124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 4  (b) -5  (c) -2\/15  (d) 120  (e) 2  (f) 0.01\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1247\/3368 - -2\/421. Let k = -20285 - -20273. Is w greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 18a12 - 1234?\nAnswer: 177ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -613039193\/4 or -153259798?\nAnswer: -613039193\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -181736 - -181736.7. Let j = 16 - 27. Let m = j - -8. Is m bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = 4*t - 2*w, -t - 5*w - 10 = -w. What is the smallest common multiple of 4 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c**5\/6 - 3865*c**4\/3 + 225824*c**3\/3 - 218093*c**2\/3 - 150549*c\/2 + 73986 = 0 for c.\nAnswer: -7788, -1, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xgxxxghxxxxxxgxhx. What is prob of sequence gxx?\nAnswer: 33\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -44, -91, -138?\n\"Answer: -47*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 5 = 9. Let u be (13\/12 - (-4 + 5))*f. Let n = -3 + 11. Which is smaller: u or n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -173 + 45. Is -1\/4 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*d = u + 6*d + 155, 0 = -2*u - 5*d - 362. Let q = u + 171. Which is the closest to -6\/11?  (a) q  (b) -0.4  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: -0.04 * 808\nAnswer: -32.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 149*s - 149*s + 1392*s**2 + 7328*s**2 to z*s**2 + q*s + j and give z.\nAnswer: 8720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 13971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 2*l + 3*l, 0 = -v - 4*l + 23. Let o = v - 5. Solve 27 = 5*p + 2*w - 0*w, -5*w + o = p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 3329279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o + 2. Let c be i(5). Let p(q) = q**3 + 3*q**2 + 2*q + 4. Let l be p(-3). Which is bigger: c or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7873.\nAnswer: 7873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 12 = -2*m. Let u = -4 + m. Suppose d + d = 4*x - 4, u = -3*d - 4*x + 14. Solve -5*j - d = -3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**2 - 6641*h + 2028709. Give f(321).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + 2 + sqrt(475) + -2*sqrt(19) + 3 + (sqrt(95)\/sqrt(5)*6 - -6*sqrt(76)\/sqrt(4)))**2.\nAnswer: 90*sqrt(19) + 4284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 7b2 - 1?\nAnswer: 7b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 339779350?\nAnswer: 2, 5, 6795587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d + 19. Let w(l) = 5*l - 168. Calculate w(o) - 2*z(o).\nAnswer: 7*o - 206","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 6, -4, 40 in descending order.\nAnswer: 40, 6, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-606)\/39 - 36\/78 - -14) + -108?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 254225737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -37 - -36. Let o = 1.7 + -2. Sort o, l, 5.\nAnswer: l, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -38*q**2 + 52*q**3 - 54*q**3 + 14*q**2 to c + v*q + h*q**3 + w*q**2 and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 458337 - 0.1\nAnswer: 458336.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -316876*k = -316840*k + 274 + 230 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 13) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/170  (b) -3\/4  (c) 0.3  (d) 8.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 601 + -598. Let m(z) = z**2 + z. Determine m(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 60 and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3b30 - 14?\nAnswer: -3b44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -4*c - 3*x, -4*c = -2*x + 7*x - 16 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-996*(-21)\/1008)\/(((-3)\/10)\/((-102)\/(-85))).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 194 + -85. Suppose -2*r + 1 - 113 = 0. Let u = h + r. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes before 12:12 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w**(-3\/2))**(-42))**(-23))**(-1\/46) assuming w is positive.\nAnswer: w**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7275, -10680, -14085, -17490?\nAnswer: -20895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 553 is divided by 95?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g**3 - 20*g**2 + 14*g - 13. Suppose -4*s - 87 = p - 0*p, 0 = 4*p + 12. Is b(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 26121524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 20*b**2 + 20*b**2 - 35*b**2 - 7*b to w + n*b**2 + h*b and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 809*h - 838*h = -145. Solve h*n - 5*o - 15 = 0, 4*o + 5 = 2*n - 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -32*n + 36. Let q(r) = -r + 1. Let h(y) = -y**3 - 2*y**2 + 23*y - 12. Let m be h(5). Determine m*q(x) + 2*k(x).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 191*z - 3796. Let m(r) = 454*r - 8857. What is -19*f(c) + 8*m(c)?\nAnswer: 3*c + 1268","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 163252.718773138 + 5?\nAnswer: 163257.718773138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 113 is divided by 36.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -31518 + 31517. Let c = -2 + 7. Suppose 0 = 2*s + 4*s - 18. What is the closest to f in 0, s, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**2 + 27*b + 28. Let x be o(28). Suppose -33*u + 26*u + 42 = x. Is 4 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the first derivative of -113*d**4\/4 + 54*d**3 + 871. Find the third derivative of s(f) wrt f.\nAnswer: -678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1890 - 654 - 628 - 608 + 23*d.\nAnswer: 23*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35\/(-147)*-6*-10*(-42)\/15.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 (base 5) in base 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(119)*-1*-4)\/(sqrt(7) + -5*sqrt(28)).\nAnswer: -4*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 755 (base 9) to base 7\nAnswer: 1541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10995, 11275, 11735, 12375, 13195, 14195?\nAnswer: 15375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 62538209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 17482 + -14549. Calculate the highest common factor of 21 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 737983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 2*x**2 + 17*x + 71. Calculate i(-5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + 4*s = -4*l + 8, s - 2 = -4*l. Suppose l*w = 2*w + 96. Let c = 60 + w. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.05733 times -49?\nAnswer: 2.80917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 158387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9974719*-7.\nAnswer: 69823033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 18 - 22 = 0. Find the common denominator of (-664)\/(-140) - z\/5 and 54\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 2*k - 67 = 0, 3*j - 2*k + 20 = 91. What is the remainder when 82 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*i + 308 = -2*i. Solve a + 7 - 26 = -4*o, 4*o - 2*a - i = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 + -6. Suppose 0*l - l + 162 = j. What is the highest common factor of 18 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 746276*j**4*n**2 - 7*j**3*n**2 + 2*j**2*n**2 + 58*j**2*n - 176947*n**2 wrt j.\nAnswer: 17910624*j*n**2 - 42*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Expand (-7*k**2 + 24*k**2 + 20*k**2)*(1 + k**2 - 1) + 4*k**4 - 2*k**4 - 3*k**4.\nAnswer: 36*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-1\/4)*q)\/q*q*q**(2\/7)\/q)\/(q**(-2))**34 assuming q is positive.\nAnswer: q**(1905\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1063555193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*y - 86*y**2 + 6*y.\nAnswer: -86*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 509520.9 days in milliseconds?\nAnswer: 44022605760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 145\/(-290) - (-14)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the first derivative of -125*m**6\/3 + 17*m**2\/2 - 12*m - 726. What is the second derivative of h(n) wrt n?\nAnswer: -5000*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*q**2 - 7*q**2 - 11*q**2.\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 78 and 162.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3\/1 + (-6)\/(-2). Let i(q) = 4 + 7*q - 1 - n*q - 7. What is i(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -227 - -229. Suppose 16 = 4*j, -7 = -5*o - j - 3. Suppose 5*s - 2*n - n - 16 = o, 5*s = -4*n + 2. Solve -l*w - s*w - 8 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 313 - 325. Find the common denominator of ((-680)\/m)\/5*(-10)\/(-15) and 133\/162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 94*n**2 - 335 + 335.\nAnswer: 94*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2 - 0)\/((70\/30)\/(-7)). Let h be 435\/(-261)*k\/(-10). Let q be 8\/(-12) - (-34)\/60. Which is the closest to -4?  (a) 2  (b) q  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 895409?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/9*(-1)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 16424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.23 + 32.23. Let g = 31.24 - s. Round g to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m - 13*l + 16 = -11*l - 26, -6*m - 15 = 2*l + 23 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.18, -71610\/23, 21, 0.5 in decreasing order.\nAnswer: 21, 0.5, -0.18, -71610\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that i**3\/4 + 185*i**2\/4 - 3834*i - 20295 = 0.\nAnswer: -246, -5, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**3 + 6*j**2 + 3. Suppose -3*m - 3 = -12. Suppose m*s - s = -12. Let o be t(s). Solve -o*n + n = -6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -3 + (-4 - (-45 - -1))?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1613854 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -2*g + 8. What is f(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45559 is divided by 616?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Total of 10435 and 15.\nAnswer: 10450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1105, -2207, -3307, -4405, -5501, -6595, -7687?\nAnswer: -8777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = -3*b + 23. Let z(m) = m**3 - 3*m**2 - 2*m - 5. Let t be z(b). Suppose -t = 2*k - 3*k. Solve r = 3*p, 3*p = k*r + 2*r - 12 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and -4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 18098, 36065, 54032, 71999, 89966, 107933?\n\"Answer: 17967*n + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the second derivative of u**5\/20 - 13*u**4\/12 + u**3\/6 - 17*u**2\/2 - 6*u. Suppose -56*m + 63*m = 91. Calculate a(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 457 + -329. What is the highest common divisor of 320 and u?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*g - 5*h + 27 = -36*g, 0 = -4*g - 4*h + 16 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 (base 5) in base 6?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -502050*t**2. Let s(l) = -66*l. What is s(h(x))?\nAnswer: 33135300*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 9284 divided by 3?\nAnswer: 9284\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 77484101311038 - 0.4\nAnswer: 77484101311037.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -59 - g + 111*g**5 + g - 5*g - 525*g**5 + 112*g**5 wrt g?\nAnswer: -6040*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*s - 3*s - s)*(2*s - 2*s + 3*s)*(-s + s + s)*(0 - 3 + 7) as c*s + n*s**2 + i*s**3 + y and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (sqrt(33)*-2)\/sqrt(3))**2.\nAnswer: 12*sqrt(11) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the second derivative of -73*h**4\/12 - h**3\/2 - 2035*h**2\/2 + 576*h - 4. What is the derivative of s(z) wrt z?\nAnswer: -146*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -83*a - 6230000. Let n be v(0). What is n rounded to the nearest one hundred thousand?\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 - 25*u + 5 - 75*u + 26*u + 76*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14*m - 80 + 52. Let g be 2\/7 - (-418)\/7. Suppose -z = m*s - g, -2*s + 3*z + 39 = -21. Calculate the remainder when s is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1233159, -1233156, -1233145, -1233120, -1233075, -1233004?\nAnswer: -1232901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r**(-1))**6)**(-9)*((r**(1\/3))**(-40))**43 assuming r is positive.\nAnswer: r**(-1720\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - 154*(1 - 56\/60) - 88\/(-24)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g - 2 + 2)*(-268 + 200*g + 268) + 3*g**2 - 5*g**2 + 0*g**2.\nAnswer: 398*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1  (b) 0.3  (c) 0.2  (d) -2\/7  (e) -194\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/((-4)\/(12\/(-9)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 42 = -68. Let d = w - 50. Solve -2*m - d = 1, 4*m + 8 = -2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 109\/26806344 and -27\/272.\nAnswer: 911415696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2 - -1)*(-6)\/6. Let q(g) = 18*g**3 - 2. What is the tens digit of q(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 419.\nAnswer: -3\/419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/35 in 105\/8, 9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*f - 7*f + 3*f)*(1 + 2 - 1).\nAnswer: -34*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -20*s - 2. Calculate p(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1706 divided by 4.\nAnswer: 853\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = j + l + 3, -5*l + 4 = -2*j - 6*l for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -139*0.04\nAnswer: -5.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -38*v**3 - 2*v**2 - 4*v + 11. Let h(u) = -26*u**3 - u**2 - 3*u + 10. What is -4*h(l) + 3*o(l)?\nAnswer: -10*l**3 - 2*l**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (11 - 111*f - 1 + 113*f)*(-2*f**2 - 6*f + 6*f) to the form k*f**3 + i + x*f + h*f**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m + 17 = 392*c - 391*c, c + 6*m = 3*m - 13 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s*s*s*s*s\/(s**3\/s)*s)\/s*s**(2\/27)\/s)**(-31)*(s**(2\/7))**(2\/25)*s*s**(1\/5)*s*s**2 assuming s is positive.\nAnswer: s**(-430322\/4725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x + 52*n - 49*n + 3 = 0, -3*x + 2*n - 13 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2916 = -95*m + 21536. What is the least common multiple of 3 and m?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -3*t + 36. What is h(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2\/(-6))\/(7\/18). Suppose -s - 2*s + 12 = 0. Suppose 5*p + s = -1. Which is bigger: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = 3*k + 9, 0*k + 6 = -2*s - 2*k. Find the first derivative of -2*y + s*y + 0*y + 4 + 3 wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 15579 - 15229. Solve -3*v - 353 = -c for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m = -5*x - 79, 855*x - 851*x + 20 = 0 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 55 + -41 + -2 + 4 + -4 + -2 + 13\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 23 + -15. Let h = z + 11. Suppose h - 49 = -5*l. Solve -a + l*a = 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 267.78882 minutes?\nAnswer: 4.463147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (11*(-10)\/1155)\/(((-15)\/(-28))\/(-5))\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 285 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/(6\/16) + -1. Suppose -14 = -4*b - 2*l + 4*l, -b - 3*l = j. Suppose -b*y = -19 - 11. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.05186, -10, -2\/7 in descending order.\nAnswer: 0.05186, -2\/7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/(-5) + (2080\/150 - 11). Let x be 2\/9 + 28\/(-288). Which is the nearest to w?  (a) x  (b) -1  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhss when four letters picked without replacement from {s: 16, h: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 10*b**2*o**3 + 42*b**2*o**2 - 8*b**2 + b - 67*o + 38299 wrt o.\nAnswer: 30*b**2*o**2 + 84*b**2*o - 67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, k: 1, t: 3, z: 7}. What is prob of picking 1 a and 1 z?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 5339, 22491, 51103, 91169, 142683, 205639?\n\"Answer: -h**3 + 5736*h**2 - 49*h - 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*a + 773*l + 2453 - 883, -126*a = -125*a + 2*l + 12 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2*(2 + -3) + 40763. Let m = j + -60065. What is m rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 3*x**2. Let p be (-10)\/84 - (-12)\/42. Let u(r) be the second derivative of 0 + p*r**4 + 0*r**3 + 0*r**2 + 2*r. What is u(l(o))?\nAnswer: 18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 753443 is divided by 364.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3103 - 2345 = -646*m - 6814 - 8970 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 927231.\nAnswer: 3, 17, 18181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express g - 10645*g**2 + 21313*g**2 - 10656*g**2 + 5*g + 8 as s + x*g + z*g**2 and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2 + 14 + (0 - 0). Suppose 3*d = -0*d + g. Suppose -103*u = 596 - 2553. Solve u - 3 = d*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, 12, -10\/3 in descending order.\nAnswer: 12, 0.3, -10\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from idcikik. Give prob of picking 1 i, 1 c, and 2 k.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -2*m + 4. Let k be p(4). Let s = 0 + -1. Which is the biggest value?  (a) 3  (b) s  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(384) - ((sqrt(384) - 1*sqrt(384)*2) + sqrt(384) - sqrt(384)))\/(sqrt(512)*2)*-3*-1.\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 3*y. Let f(o) = -9*o - 2 + 8 - 7 + 25*o. Determine 2*f(g) - 11*j(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y - 1. Let b be o(-1). Suppose b = 2*z + 2 - 10. Suppose 3*g - g = 0. Solve g*s - z = -4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -559*i + 8*d = -562*i - 106, 0 = 3*i - 3*d + 84 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = -2*u - 14, 2*f - 4*u + 11 + 1 = 0. Let s(p) = p**3 + 5*p**2 + 5*p + 8. Let c be s(f). Solve 5*q = -2*r + 19, -2*q - 1 = 5*r + c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((1*sqrt(104) + sqrt(104))*3 - sqrt(104)) + (sqrt(104) - (sqrt(104) + 3*sqrt(104)))*3)\/(sqrt(32)*-4*6))**2.\nAnswer: 13\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**(-2\/5))\/l*l)\/(((((l*l**(-1)*l)\/l)\/l)\/l)\/l) assuming l is positive.\nAnswer: l**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**3 + 16*q**2 - q - 9. Give d(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - j = 3*p - 111, p - 37 = 3*j. Let o = 561 - 516. Let q = o - p. Solve 7 = -5*r - q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a**3 - 5*a + 2. Let p be q(2). Suppose 2*j - 4 = 2*n, 0 = 3*j + j - 8. Let c = p + n. Solve 3*s - 9 + 3 = c, 0 = -4*b + 5*s + 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 693 divided by 11\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6625*n = -7707*n + 1082 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73215 is divided by 24085?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -166 + -7aba68?\nAnswer: -7b0012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7233*a**2 + 496*a - 1424*a - 7245*a**2 + 504*a + 424*a.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -262 + 307. Suppose s*z - 50*z = -120. Calculate the remainder when 538\/12 - (-5)\/30 is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes before 4:39 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -403 (base 6) to base 12.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 63 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + v**3 - 349*v**2 - 2 + 347*v**2 to c*v**3 + q*v + d + l*v**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -19.00000031 + 19. What is j rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-4)\/10)\/((-24)\/(-120)))\/(2\/11).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 146.26 to the nearest integer.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1ad (base 16) to base 12\nAnswer: -2b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**4 + r**3 + r**2 - r. Let t(o) = -3*o**3 + 13*o**2 - 3*o - 1. Let x(i) = -t(i) - 3*u(i). Find the second derivative of x(w) wrt w.\nAnswer: -36*w**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2952\/182707 or -1?\nAnswer: 2952\/182707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.1475 + -15.1175. Let o = 1.87 + s. Let i = 13.100129 + o. What is i rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 22209\/4 - 5552. Put -17, c, -2, 17 in ascending order.\nAnswer: -17, -2, c, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the second derivative of g**3\/6 - g**2\/2 - 4*g. Let j be 4\/(-14) + 200\/14. Suppose 2*y - 6 = 2*w, -2*w + 4*y - j = -0*w. Calculate v(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -12.15 - -12.65. What is the nearest to r in -2, 0.3, -4\/5, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*c**2 + 247*c**3 + 102*c + 249*c**3 - 502*c**3.\nAnswer: -6*c**3 + 4*c**2 + 102*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 3*d = 131. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 37847 (base 14) to base 10\nAnswer: 136087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -35*a**3 - 5*a**2 + 10*a + 26. Let v(s) = 18*s**3 + 3*s**2 - 6*s - 14. Determine -3*k(p) - 5*v(p).\nAnswer: 15*p**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12*h**2\/13 + 83918*h\/13 - 5380.\nAnswer: 2*(h + 6994)*(6*h - 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 1 t when three letters picked without replacement from {v: 15, t: 3}.\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16241, -32476, -48711?\nAnswer: -64946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 78318091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: cc791 (base 14) to base 12\nAnswer: 1ba84b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1145 is divided by 172.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 15*150\nAnswer: 2250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11 and 341?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 665*a - 407*a + 1203*a - 1461 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rllr when four letters picked without replacement from ullurulllllulrrlr?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1*(-5 - 4\/4). Solve -8 = d*x - 10*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o - 14 = 5*l, -2*l + o = l + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 681.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w + 5, 2*q + 5*w - 35 = -q. Suppose -g = g - 234. Let i = -67 + g. Calculate the highest common divisor of q and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-52)\/156)\/((-2)\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*o - 3*g + 6 - 4, -5*o = -2*g - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**2 - 1048*v + 4192. Calculate r(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23290366 divided by -3.\nAnswer: -23290366\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 36\/5357 at most as big as -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.09135668 rounded to two decimal places?\nAnswer: -1.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - u - 43 = 0, -u + 3 - 6 = 0. Let s(t) = t**2 + 10*t + 13. Let o be s(i). Calculate the highest common divisor of 104 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 5*w = 11, -f = -0*w + 2*w - 3. Suppose -1 + f = -n. Let s be -3*(56012\/n - -2). What is s rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -174478906 divided by -24925558\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 67402 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-1*2*(-2 + sqrt(171) + sqrt(171)))**2.\nAnswer: -96*sqrt(19) + 2752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 25, 208, 505, 916?\nAnswer: 1441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((0 + 0 + i**2)*(-1 - 1 + 4) + i**2 + 2*i**2 - i**2)*(-i**2 + 3*i**2 - 3*i**2)*(-3 - 3 + 4) to the form o*i**4 + w*i + j*i**3 + g + z*i**2 and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 52 and 13105703.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 16537*k - 1121*k**2 - 8268*k - 8269*k in the form l*k + w*k**2 + x and give w.\nAnswer: -1121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12 - -16. Suppose -3*s - 5*h = -28, s + 5*h - w = 2*s. Let j(a) = 7*a - 5. Does 11 divide j(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhwwvwzvzhhhhhvhwhv?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 - -1.8. Let u = 7153 + -7153.2. Which is the closest to m?  (a) -4  (b) -0.06  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.5551 - -2.\nAnswer: -0.5551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(250) + -3*sqrt(250))\/(sqrt(180)*1).\nAnswer: -5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -160 divided by 4?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 8204 (base 9) in base 10?\nAnswer: 5998","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.409376 less than 13.022203?\nAnswer: 13.431579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((-1*sqrt(168)\/sqrt(3))\/(-1*(sqrt(8) - sqrt(24)\/sqrt(3)) + sqrt(8)) + (sqrt(567) + 6*2*sqrt(567) + -5*-2*sqrt(567))**2).\nAnswer: -3*sqrt(7) + 899829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xef when three letters picked without replacement from {l: 4, e: 8, f: 1, x: 3, t: 1}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -71, -142, -213, -284?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u**2 + 2 + 0 - 5)*(-2*u - u + 6*u).\nAnswer: -3*u**3 - 9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.65 in -1\/5, 7, -0.016?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the third derivative of 31*p**4\/24 + p**2. Let t be k(1). Let r = 2 + t. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 16\/(-20) + (-36)\/(-45). Solve 6\/5*o**3 + v - 8\/5*o - 98\/5*o**5 - 8*o**2 + 28*o**4 = 0 for o.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*r**3\/4 - 477*r**2\/4 + 489*r.\nAnswer: -3*r*(r - 4)*(r + 163)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -18*y. Let u(h) = -21*h. Let w(i) = -6*r(i) + 5*u(i). Let l(p) = -2*p - 32. What is l(w(a))?\nAnswer: -6*a - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*v**3 + 501*v + 503*v + 4*v**2 - 1004*v + v**2.\nAnswer: 14*v**3 + 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -356*g**4 + 564*g?\nAnswer: -4272*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.1  (b) -2\/3  (c) -0.1  (d) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -402 + 405. Let t be (84\/9)\/(-14) + 2\/f. Is 1\/135 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 88 and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes before 9:37 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -131 + 145. Let h = -136 - -192. What is the greatest common factor of h and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z**2 + 4*z**2 + 0*z**2)*(-z + z - 2*z**2) + (4*z - 3*z + 2*z)*(-3*z**3 + 2*z**3 + 0*z**3).\nAnswer: -7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 258 - 599. Let k = 287\/1976 - -1347799\/3952. Let q = h + k. Which is greater: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-20)\/130 + 1048\/52. Suppose -u - 5*q - b = 0, 2*u + 4*q - 11 = -27. Let p(g) = -g**3 + g**2 - g + 1. What is p(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*x**2 - 13*x**2 - 6*x**2 - 8*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 - 8. Let c = -528778 + 150702106\/285. Let s = c + -34\/15. Is s >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 477020 is divided by 1788.\nAnswer: 1412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 3*q - 3*i, -2*q + q - 3 = 5*i. Suppose -7*p + 90 = -q*p. Let r(z) = 1. Let t(v) = v + 9. What is p*r(x) - 2*t(x)?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {d: 4, b: 2, f: 1, y: 3, a: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -7179974988 take away -0.4?\nAnswer: -7179974987.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 563*u = 371*u - 3072 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(152) + 6*(sqrt(152) - sqrt(152)*-1) - 4*sqrt(152)*-2)\/((-1*sqrt(2016))\/(sqrt(7) - sqrt(35)\/sqrt(20) - sqrt(7))).\nAnswer: 7*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 195*s - 104*s - 95*s - 4*s + s + 4*s + (-4*s + 5*s - 2*s)*(4 - 5 + 3) - 4*s - s + 2*s to r + h*s and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1221.\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 33224894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = 3*k + 4. Let l be (3\/3 - k) + -2. Suppose 1 = -5*b + l*h + 7, 3*h + 6 = -4*b. Which is greater: b or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1706, -2391, -3076?\nAnswer: -3761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 130, 210, 290, 370, 450, 530?\nAnswer: 610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 7, 4, -30, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 3*w + 230 = 0, -5*h + 4*w + w = 270. Let i be h\/(-28) + (-3)\/4. What is the tens digit of ((-96)\/30)\/(i\/(-10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**3 + 5*a**2 - 12*a - 12. What is o(-7)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2168 and 14.\nAnswer: 15176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 19 + 3. Let a = -9 + 11. Let l(q) = 4*q - 9 + 4*q**3 + 11*q**a + 0*q**3 + 20. Let j(f) = -2*f**3 - 6*f**2 - 2*f - 6. Determine v*j(n) + 6*l(n).\nAnswer: 2*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 326806 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 9, 2, -2, 63357?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-55)\/(-3)*(24\/14)\/((-10)\/7)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:06 PM and 6:44 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/(-8) + (2 - (-570)\/40). Solve t*i = 12*i + 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -22 + 7*o**2 + 7 - 20*o**3 + 6 + 10 as p*o**3 + f + m*o + c*o**2 and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*c**2 + 55725*c - 55720.\nAnswer: -5*(c - 11144)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (2873 - 2873 - 110*t)*(-2 + 4 - 4)*(-1 + t + 1) in the form v + r*t + y*t**2 and give y.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 56 * -0.4\nAnswer: -22.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3080 - 109c?\nAnswer: -414c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -8*x - 1. Let g(p) = 32*p + 6. Let n(m) = -5*g(m) - 19*o(m). What is n(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 714*f**2 - 38*f - 84. What is the tens digit of h(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 + -8. Let y = -5 - b. Suppose -y*g + 2*g = -2225. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.1?  (a) -0.05  (b) 4\/9  (c) 1\/6  (d) 2  (e) -2  (f) -2.249\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q**2 - 16*q - 26. Let m be a(-2). Let z = 6 + -4. Solve 2*k + v - 2*v = 9, -m*v = -z for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 362722?\nAnswer: 2, 181361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5 + 2. Let o(i) = 9*i + 1. Calculate the least common multiple of o(1) and (-3)\/18*y*36.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2190*z**5 - 47*z + 1225*z - 240*z + 506*z wrt z?\nAnswer: 43800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5, 6, 15, 22, 27, 30?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 19\/(-46) - (-114)\/1311)*(-1386)\/33\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:34 AM and 11:28 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -458, -889, -1308, -1709, -2086, -2433, -2744, -3013?\nAnswer: -3234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -108354 = 87*m + 133158. Is m greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w**3\/6 - 3*w**2\/2 + 35*w - 100\/3 = 0. Calculate w.\nAnswer: -20, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/23, 0.0009, 0.5, -0.5, -3 in decreasing order.\nAnswer: 0.5, 0.0009, -2\/23, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 + (38 - (41 + -41 - 24)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -6*f - 26. Let z(k) = k**2 + 469*k. Give t(z(g)).\nAnswer: -6*g**2 - 2814*g - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-17)\/(-204)*(-36)\/(-8).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 4*z - 4*h = 6, -1 = z - 3*h. Suppose 0 = -2*s - 4*t - 14, 2*s + 0*t + 8 = -z*t. Let x be (2*(-1)\/14)\/((-2)\/(-4)). Which is greater: x or s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 73123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 48.20281 hours to nanoseconds.\nAnswer: 173530116000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -170*l + 393*l - 226*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1990960\/1398528 - 2\/18*10\/1.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in seventeen quarters of a kilogram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -7 + (16 - 6) - 25\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -30750 - 2997. Let m = r + 86242. Suppose 531495 = -k + m. Round k to the nearest ten thousand.\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6934*a = -476977 + 178815 for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 13781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o**3 + 0*o**2 + 0*o**2)*(201*o**2 - 165*o**2 - 130*o**2) + 0*o**5 + 2*o**5 - 9*o**5.\nAnswer: 87*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4356 and 1516?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2.7 or 57?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -4.577929 times -337\nAnswer: 1542.762073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the second derivative of -2\/3*u**4 - u**3 + 0 - 4*u + 7\/2*u**2 - 1\/20*u**5. Let m be i(-7). Solve 0 = -2*z - m*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 150.767 + -151. Let a = 0.033 + r. Let v = 0.3 - 0.2. What is the closest to 2\/7 in v, 2\/9, a?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - (-77)\/63)\/(1\/(-3))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1f6 - -15?\nAnswer: -1e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -1 - m + 6 + 5*m**3 + m**2 - 4*m**3. Let a be (-3)\/1 + 5 + 2. Let v be (0 + 0)*4\/a. Give d(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(136)*3*-5)\/(sqrt(24)\/sqrt(3)*-1 - sqrt(8) - -2*sqrt(800)) + 0.\nAnswer: -5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -0.593*902\nAnswer: -534.886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1192, 2364, 3536, 4708, 5880, 7052?\n\"Answer: 1172*k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -41*i**6*p + 1017*i**5*p - 664*i**2*p + 7*p wrt i.\nAnswer: -4920*i**3*p + 61020*i**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/(2\/1 + 0) + 46199\/831582.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 37406520*z + 475357946 wrt z.\nAnswer: 37406520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 103250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/8*((-20)\/(-6))\/(-5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 102814763617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 32*k - 525 + 11*k**2 + 541 + 3*k**2 - k**3. Let p be l(16). Solve p = -y - 3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -12*5\/(-20) + -3 + 3. Suppose -16 = -3*n + 2*x, x - 14 = -2*n + 4*x. Solve y = -5*m - 4*g - 2, n*m - 4*g = -40 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 277 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/8?  (a) 1  (b) 0  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-84)\/(-24)*144\/28. Solve -t - 10 = 4*b + 12, 4*b - t = -k for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (87\/30 + -2)*(-5)\/(-12)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 263, -18531 in decreasing order.\nAnswer: 263, 2, -18531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 418 minutes after 9:17 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -75*v - 60. Let m be u(-3). Is (-12)\/10 + 35013\/m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62*k = 58*k - 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 18 - -185. Suppose 5*x = -13 + o. Let y = -4 - -17. What is the remainder when x is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 94 - 93*j + 88*j - 86 - 139*j as b + t*j and give t.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = -32*n + 34*n + 5*y, n - 5*y + 18 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/364 and -101\/152.\nAnswer: 13832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 1683541*z**2 - 2515*z. Let a(p) = -4018*p**2 + 6*p. Calculate 2515*a(u) + 6*n(u).\nAnswer: -4024*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1.4  (b) -6.44  (c) 200\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.3  (b) 1\/3  (c) -2\/5  (d) -4.3  (e) -0.5  (f) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7 + 3 - 187217*p**2 + 187254*p**2 - 3*p - p**2 + 2*p**2 - 4*p**2 + 4*p**2 + 2*p**2 - 4*p**2 + (3*p**2 - 2*p**2 - 2*p**2)*(-2 + 3 + 0).\nAnswer: 35*p**2 - 3*p - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*n - 26*n = -q - 7, -q - 1 = 4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*o**4 - 6*o**4 + 5*o**4 + (2*o**2 + o + 0*o + 2*o)*(2 - 2*o - 2)*(o + 3*o - 3*o).\nAnswer: -10*o**4 - 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -166.24 and -2948?\nAnswer: 490075.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.441208 rounded to three decimal places?\nAnswer: -0.441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 4*h - 843. Let c(k) = 2*k**2. Give l(c(a)).\nAnswer: 8*a**2 - 843","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 340 divide 30689838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1212551451 to the nearest integer?\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**2 - 10*y - 39. Let v be w(-3). Suppose v = -21*h + 21431 - 4043. Calculate the smallest common multiple of h and 20.\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3835685*o**3*t**2 + 2*o**3*t - 581*o**2*t + 2*o**2 + 340*t wrt t?\nAnswer: 7671370*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -68*h = 61*h - 60243. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/7  (b) 6  (c) -0.2  (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8640 = 94*a + 50*a. Let f(x) = 36*x. Let o be f(3). What is the highest common divisor of a and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d**3 - 23*d**2 - 18*d - 21. What is the tens digit of l(24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - 2) + (32 - (7 + -17 + 71)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from irijkrvl. Give prob of sequence rr.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -1a02c (base 14) to base 12\nAnswer: -32174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(-8) - 150\/(-408). Let v(s) = -s**2 - 7*s + 7. Let y be v(-8). What is the nearest to y in a, -4, 2\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7\/15 and -44\/279.\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the third derivative of k**7\/840 - 7*k**6\/480 - k**5\/240 + 7*k**4\/96 - 14*k**2 - 2. Determine t so that x(t) = 0.\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*u + 2*u + 8. Suppose -496 = -2*p + 3*p + s, -u*s = -4*p - 1996. What is the hundreds digit of (p\/(-8))\/(70\/16 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 123*f + 2 - 4 - 76*f**3 - 64*f - 57*f as h*f**3 + z*f + o*f**2 + x and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 3*w**2. Let o(v) = -55*v. Let l(m) = -3136*m. Let f(i) = -6*l(i) + 343*o(i). Determine f(q(d)).\nAnswer: -147*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 342 and 126?\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 80711415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 7 = -2, -3*u + 2*o + 211 = 0. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 85 = 5*w, -12 = 4*f + w - 289. Let q be (f\/28)\/((-2)\/(-4)). What is the highest common factor of q and 60?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = -9 - 26. Let j be (i + 8)\/((-1)\/(-4)). Solve 4*b + 3*k - 11 = j*k, -2*k = 3*b - 22 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a + 6 = -x, 0 = 2*x - 3*a + 5 + 7 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 0, -17, -40, -69, -104?\n\"Answer: -3*i**2 - 8*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 4*l - 4. Suppose 36*y = 10*y + 104. Let k(i) = 4*i - 5. Give y*c(a) - 3*k(a).\nAnswer: 4*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 570.6496 years?\nAnswer: 57.06496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 264 and 199464.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -711\/2513 + -1\/359. Which is the second biggest value?  (a) r  (b) 0.6  (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = 2*j - 3*v - 11, 5*j - 23 = -v. Let h(g) = -5*g**2 + g**3 + 4*g**2 - 5*g**2 - 5*g + 3*g**2. Calculate h(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*r - 3*r**2 - 283 + 19*r + 138 + 144.\nAnswer: -3*r**2 + 21*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1961?\nAnswer: 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -51*u**2. Let w(v) = -2*v**2 - 5. What is a(w(s))?\nAnswer: -204*s**4 - 1020*s**2 - 1275","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6.72, -1, 0.01 in ascending order.\nAnswer: -6.72, -1, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 86 + 114 - 34*p - 25.\nAnswer: -34*p + 172","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w + 8. Let j(p) = p. Let s = 535 + -531. Give s*j(f) + 2*u(f).\nAnswer: 2*f + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*-4*(sqrt(198)\/sqrt(6) + sqrt(33) + sqrt(33))*2)\/(-6*sqrt(55)\/(sqrt(5) + 1*sqrt(5))*-5).\nAnswer: -48*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 99180?\nAnswer: 2, 3, 5, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 121*z + 60. Calculate the remainder when q(4) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -365*d**3 + 7*d**2 - 14*d + 13. Determine l(1).\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4347323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -37205, -37090, -36907, -36662, -36361, -36010?\n\"Answer: -w**3 + 40*w**2 + 2*w - 37246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 7*i**2 - 55. Let q(k) = 7*k**2 - 53. Let j(r) = 5*n(r) - 6*q(r). Differentiate j(z) with respect to z.\nAnswer: -14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-12727)\/801)\/(-13) - 5\/9) + 0.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 654334 - 654337. Let m(n) = n**2 + 6*n + 2. Let c be m(-7). Suppose -d - 20 = 4*d. Sort 1, c, d, a.\nAnswer: d, a, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(1\/10)*l*l\/(l**0\/l))\/(l*l**(-7)*l*l**2)*(l**(1\/3)\/l**(-1\/6))\/(l**(-6\/5)*l**(-8)) assuming l is positive.\nAnswer: l**(79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2135 + 1872 + 1999 - 1598 + 1187)*(-4*k + 3*k + 2*k).\nAnswer: 5595*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 708 minutes after 1:40 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 62 - 53. What is the smallest common multiple of t and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -n + 3*g, 4*n + 5*g - 56 + 11 = 0. Suppose -2 = 2*r + n*d, -4*r - r = 3*d + 43. Let w = r - -15. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7678 and 3080.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*a**2 + a**2 - 5*a**2 + 11*a**2 to l + y*a**2 + h*a and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that 168\/17 + 166\/17*f - 2\/17*f**2 = 0.\nAnswer: -1, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31146482 less than 0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3\/2, -0.041, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 344 a factor of 49058185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the second derivative of -3*w - 9\/5*w**5 + 1\/4*w**4 + 6*w**2 + 0 + 6*w**3 - 1\/2*w**6. Let g(m) = 0. Calculate m.\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0, 3, 1, -1, -2\/19, -151\/2, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 7783093 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10 - -15. Let s = 0.08 + -0.38. Suppose 3*v + 0*j = -5*j + 11, 0 = -3*v - 4*j + 7. Which is the closest to 1\/3?  (a) m  (b) s  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-11\/3))**(1\/3) assuming r is positive.\nAnswer: r**(-11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 137\/3 + (-6)\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/27 and 73\/7500.\nAnswer: 67500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes after 10:27 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-4)\/6)\/2)\/(2\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = -4*f + 19. Suppose 4*u - 7*u + 3 = 0. Suppose -5*s - 16 = -u. Put f, 2, s in ascending order.\nAnswer: s, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2206281?\nAnswer: 3, 7, 11, 9551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 - -1613.\nAnswer: 1610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**3 - 34*q**2 + 40*q + 192. Let x be z(-35). Solve -31 = x*p + 54 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*j - 2*j - j + (2*j - 3 + 3)*(0 - 4 + 2).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 136 + -1631\/12. Let i(d) be the first derivative of -1\/16*d**4 - l*d**3 + 1\/8*d**2 + 1 + 1\/4*d. Find u such that i(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 245326 to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 10 - 10*y - 5 - 4*y + 15*y**2 + 9. Is c(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 5*b = 872, -4*z + 0*z + 2*b = -1128. What are the prime factors of z?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 5*t**2. Let v(k) be the second derivative of -25*k**4\/6 + 430*k. Give o(v(l)).\nAnswer: 12500*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1193*h**3 + 543 wrt h?\nAnswer: -3579*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 53 + -30. Suppose 3*u - 10 = 2*b + 36, u = 5*b + 11. Let d = y - u. What is the lowest common multiple of 11 and d?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 5, -1\/3, 22?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/174 and 119\/54.\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-30)\/10*(-3)\/(-1). Let a = 2271 - 13673\/6. What is the common denominator of 3\/b + (-73)\/(-12) and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -142*q**2 + 78*q**2 + 30 + q + 82*q**2 to o + z*q + d*q**2 and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 100011100110 (base 2) in base 16?\nAnswer: 8e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**3 + x**2 + x + 2. Let b be z(0). Let v(u) = -u + 2. Let q be v(-3). What is the third derivative of b*h**2 - 4*h**2 + 3*h**q - 4*h**5 wrt h?\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -13aa94 + 31?\nAnswer: -13aa63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 106 divided by 32453.\nAnswer: 106\/32453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*t - t + 5*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -6 - (-2 + 4) - -4 - -8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes after 6:57 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -33267, -66553, -99859, -133191, -166555, -199957, -233403?\n\"Answer: -z**3 - 4*z**2 - 33267*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(252) + -5 - ((1 + sqrt(252) - sqrt(252)) + -2 + sqrt(252)))**2*6.\nAnswer: 576*sqrt(7) + 6144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 8\/(-6)*45\/(-6). Solve -5*n = -0*n - a + 20, 5*n + a + i = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 114226605 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = 2*y + d, -d + 23 = -5*y - 2*d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 859.329633 - 823.32968. Let v = o - 36. What is v rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1195 is divided by 177?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -30, -55, -70, -69, -46, 5?\n\"Answer: w**3 - w**2 - 29*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 573003?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*y + 46*y + 180 = 0. Sort -5, y, 5.\nAnswer: -5, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - 8) + (-8 - -20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 7.0211, -4, -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -93 - 5?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -7\/4708 and 19\/100.\nAnswer: 117700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the first derivative of -l**6\/3 + 2*l**5\/5 + l**4 - 7. Let f(k) = 0. Calculate k.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -84, -247, -516, -897, -1396, -2019, -2772, -3661?\n\"Answer: -i**3 - 47*i**2 - 15*i - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (2\/(-6)*-277)\/((-2)\/(-6)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -3, -0.3, 0.29, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*j + j + 15. Let l(k) = 34*k - 1. Let r be l(2). Let m = r - 403\/6. Which is the smallest value?  (a) 1\/8  (b) j  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 104272 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2411347899.\nAnswer: 3, 23, 73, 478727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -1. Let f(h) = 2*h - 2 - 1 + 7. Suppose -2*b - 3 + 9 = 0. Suppose 0 = -3*k - 3*w + 7*w, -3*w + 3 = -b*k. What is k*i(g) - f(g)?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 78 + 42 = 0. What is the highest common factor of f and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -65*x - 8. Let g be w(-9). Suppose -8*i = -g - 135. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:01 PM and 10:44 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3114?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the first derivative of 15*p**2\/2 + 3. Let r be d(1). Let j = -9 + r. Round j to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -9*(((-35)\/(-3))\/(-5) - -2). Suppose -m*y - 3*v + 3585 = 0, 4*v = -2*y + 3350 - 956. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58 + 53 = 3*w. Suppose -w*n + 30*n = 84. Let r(g) = g**3 + 11*g**2 - 12*g + 1. Let h be r(n). Calculate the highest common factor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 + 3. Suppose -5*d + s - 18 + 347 = 0, q*s = d - 77. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yj when two letters picked without replacement from {g: 2, y: 1, e: 1, d: 4, j: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 450 and 500.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*w - 16 = -17*w. Let d be 1 + 0 + w\/(-8). Suppose 0 = 2*p + l, l = -d*l. Sort -5, p, 3 in descending order.\nAnswer: 3, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 8, a: 5}. Give prob of sequence kka.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/95088 and -97\/42.\nAnswer: 95088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/5 of a millennium in decades?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9 + 10. Let j be w\/(1\/2) + 13. Suppose -5*c + 27 = 3*h, 4*c + j = 4*h - 53. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36\/66 + 148\/11 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 426 + -252. Is z a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7772, 8322, 9714, 12338, 16584?\nAnswer: 22842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 minutes after 9:42 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -3186\nAnswer: -2\/1593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + (4 - 19) + -4 + 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 21805508267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v**2 - v + 1. Let m(b) = -8*b**2 + 2*b - 2. Let i(g) = -2*c(g) - m(g). Let u(d) = 23*d + 15*d + 23*d - 69*d. Give u(i(p)).\nAnswer: -80*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-62)\/(-3))\/((-2)\/(-3)). Suppose -5*g = -3*x + d - 4, 3*x + 3 = -5*g. Find the second derivative of h + h**x + 0*h**4 + h + h**4 wrt h.\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 295 - 286. Which is the nearest to -1?  (a) w  (b) 4  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.56, -3, -10\/11, -5 in increasing order.\nAnswer: -5, -3, -10\/11, 0.56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 21271 - -12?\nAnswer: 21283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -574 - 387 = 39*g + 209 for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5)\/(25\/(-10)))\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2803646 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -190391*j + 654. Let x be t(-6). What is x rounded to the nearest ten thousand?\nAnswer: 1140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s**2 - 392*s - 9280 = 0. Calculate s.\nAnswer: -58, -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand z + 4*z + 0*z + (57*z + 80*z - 15*z)*(1 + 1 - 5).\nAnswer: -361*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1356, -1448, -1538, -1626, -1712, -1796, -1878?\n\"Answer: i**2 - 95*i - 1262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l + 1. Let q(m) = 2*m - 2. Let v be (22 - 23)*(-173 + 0). Let y = v + -172. Calculate y*q(a) + o(a).\nAnswer: 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 - -14103330111?\nAnswer: 14103330111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 21212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (-9 + (-4 - -20)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {x: 9, b: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 81538.3l?\nAnswer: 81538300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hckkibh. 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 n = -0.0047 - -0.0122. Let k = 1.0925 + n. Put 0.1, -4\/7, k, 3 in ascending order.\nAnswer: -4\/7, 0.1, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in -19692, 0.3, 0, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2.24 and -0.07.\nAnswer: 0.1568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 + 10 + x)*(645 - 365 - 373)*(1 - 1 + 3*x).\nAnswer: -279*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes after 12:45 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -76\/4102525 and -79\/27076665.\nAnswer: 135383325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 264.3826 to the nearest integer.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*c + 0*c + c)*(-4 - 1 + 4) - c - 2*c + c)*(-1 + 3 - 3).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 1\/10 of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/(-5)*(-206)\/4 and 1\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -384322070*x**3 + 8*x**2 - 2345492*x - 5?\nAnswer: -2305932420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r**2\/7 + 72858*r\/7 + 9019016\/7 = 0. Calculate r.\nAnswer: -72734, -124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 846165 to the nearest integer?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes before 10:07 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 80 + -64. Suppose 23*a + r = 27*a. Suppose -a*x + 3*j + 960 = j, -5*j = 10. Is 18 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -46020053 (base 7) in base 6?\nAnswer: -221501122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -681, -5571, -18839, -44673, -87261, -150791, -239451, -357429?\n\"Answer: -698*k**3 - k**2 - k + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 19*x**2 - 170*x - 4. Calculate z(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-8))\/(7\/462*-3)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.885709 centuries in millennia?\nAnswer: 0.0885709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the first derivative of -r**4\/4 + 13*r - 51. Differentiate y(g) wrt g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13 - 7. Calculate the remainder when (-7)\/(-4)*40\/(-140)*-30 is divided by m + (-5)\/((-20)\/12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3.1 - -3. Let u = -14 - -41\/3. Let m = 1 + -1.3. What is the closest to f in u, -1\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from ddndfufnufudfdddndu.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sum -91 and 1116.\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -9.3408 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 612410083?\nAnswer: 67, 9140449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 593*p + 2109*p**3 - 308*p**3 - 593*p.\nAnswer: 1801*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4890 is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -3*b**3 - 10. Let x(w) = -w**3 - 1. Let j(f) = -s(f) - 3*x(f). Find the first derivative of j(p) wrt p.\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 139\/335?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 12474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 96309000?\nAnswer: 2, 3, 5, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -7*g**2 - 11*g - 42. Calculate j(-4).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1238)\/28 + (-11385)\/(-35926)*142.\nAnswer: 11\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(((-1*(sqrt(200) - 2*sqrt(200)))\/sqrt(10))\/(6*(sqrt(800) - sqrt(50) - sqrt(50))\/sqrt(5)))**2.\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000055441 rounded to seven decimal places?\nAnswer: -0.0000554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the second derivative of 41*y**7\/14 - y**6\/15 - y**5\/10 + 31*y**4\/12 - y**3\/6 - 9*y**2\/2 - 29*y - 28. Find the third derivative of l(i) wrt i.\nAnswer: 7380*i**2 - 48*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*j = -5*j - 30. Suppose l + 9 = -n, -2*l - 7 = n + j. Let a(o) = o**2 + 10*o + 8. Let b be a(l). Which is greater: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (380\/8)\/((-4)\/(-16)*2). Let o = i - 36. What is the derivative of 30*y**2 - o*y - 2 + 59*y wrt y?\nAnswer: 60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21053077639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 14) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -185 + 405. Suppose -28*g = -30*g + h. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, 10, 0.08, -2, 0.6, 0.22?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 74 - 68. Which is smaller: -8 or s?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the first derivative of -x**3\/3 - x**2\/2 + 3*x + 2. Let l be u(0). Suppose -r = 3*h - 15, 2*r + 3*h + 10 = 5*h. Sort -2, l, r in increasing order.\nAnswer: -2, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 1084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1129, 8132, -2.\nAnswer: -1129, -5, -2, 8132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, -5, 0.109, 0.1?\nAnswer: 0.109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 469719 to the power of 1\/2, to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**2 - 6*p + 2. Let x be j(6). Suppose -3*r = -0*r + 3. Let o = x + r. Solve 3*y - z + o = -1, 4*y = -5*z + 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 9}. What is prob of picking 4 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v = -4*v - 58. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18315126727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 + 4 - (-13 + 9)) + -62 + 54?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**2 - 9*x + 5. Let n = -143 + 148. Let q be ((-15)\/3 - n) + 8\/2. Calculate o(q).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -301 + 301.3. Sort -1, k, 4\/7, -3 in ascending order.\nAnswer: -3, -1, k, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 148 - 148. Suppose 5*j + 3*m - 1662 = x, -974 = j - 4*j + 4*m. Is j a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1a17 (base 13) to base 4\nAnswer: 331003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 102 and 53803232?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -22 + 21.5. Let p = 1 + v. Let u be ((-5)\/2)\/((-7)\/(-14)). Which is the smallest value?  (a) p  (b) u  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z + 2. Give u(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11 by 68.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -146 + 148. Solve -o*k - 20 = -6*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = a, 0 = -c + 3*a - 14 - 1. Let w(p) = p - 10. Let h be w(7). Let t be (-1)\/(2\/(12\/h)). Sort 5, t, c in descending order.\nAnswer: 5, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 516*f = 521*f - 43530. List the prime factors of f.\nAnswer: 2, 3, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2843 less than 2843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -377*p + 376*p = 13*k - 1, 3*p - 3 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24\/((24\/(-858))\/(332\/(-4316)))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*r**5 + 0*r**5 + 2*r**5)*(1 - 2 + 3).\nAnswer: -2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2975*k**6 - 7*k**2 + 2*k - 326?\nAnswer: 357000*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*o**4\/7 - 136*o**3\/7 + 1012*o**2\/7.\nAnswer: 4*o**2*(o - 23)*(o - 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.413 - 0.15.\nAnswer: 0.263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 * 0.049\nAnswer: -0.0098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -503 (base 10) to base 2\nAnswer: -111110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 270 is divided by (-120)\/(-14) + (-68)\/119?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5304\/5 + -58169\/55. What is the common denominator of q and 103\/138?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -568, 5, 2, -2, -5 in descending order.\nAnswer: 5, 2, -2, -5, -568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 38 - 28. Let b be (-2)\/6 + 2\/(-3). What is the remainder when ((-19)\/4)\/(b\/4) is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yikyjyi. What is prob of sequence ji?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3985*x + 1293*x + 1309*x + 1320*x - 2 + 3*x**3 + x**2 to w + c*x**3 + i*x + u*x**2 and give i.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, t: 1, r: 1, a: 1}. What is prob of picking 1 a, 1 t, and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uiiuuuuiuuutuuuutt. Give prob of sequence iu.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 4*v**2 + 35*v - 13. Suppose 21*c = 15*c - 102. What is the tens digit of o(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4449 - 4449. Solve -v - 5 = k, -7*y + 2*v = -y + 14 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 94 = -101. Let w(v) = v - 107*v**2 + 112*v**2 + 3 + 0*v. Calculate the remainder when y is divided by w(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 688092 is divided by 1041.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 4379 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1330c (base 13) in base 12?\nAnswer: 18787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes before 11:21 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*w**3 + w**3 - 3*w**3 + (0*w - 2*w**2 + 0*w)*(4*w + 3*w + 0*w) - 35*w**3 - 30*w**3 + 66*w**3 as d + r*w**2 + p*w**3 + k*w and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 471082916?\nAnswer: 2, 117770729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/18 and -31\/717144.\nAnswer: 2151432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/13*d**3 - 178\/13*d**2 - 3872\/13 - 4048\/13*d.\nAnswer: -2*(d + 1)*(d + 44)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**2 + 18*g. Give h(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes before 12:41 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.08  (b) -2\/13  (c) -5.485  (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -41\/4 - -869\/84. What is the nearest to p in 3, 0, -92?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2609573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 - -201b4?\nAnswer: 201b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (45\/(-81)*75\/(-25))\/(-5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-202)\/77 + (-2)\/7. Let y = -1003\/22 + h. Let t = 2211\/8 - 529\/2. Calculate the common denominator of y and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j. Let b(t) be the first derivative of 2*t + 0*t**2 + 2 - 1\/2*t**3. Let y(r) be the first derivative of b(r). Calculate y(w(o)).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -0.8 * 4.3\nAnswer: -3.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 110291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -74\/15 and -73\/2778?\nAnswer: 13890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the third derivative of 41*r**8\/168 + 19*r**5\/60 + r**3\/3 + 6*r**2 + 2. Find the third derivative of d(i) wrt i.\nAnswer: 4920*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 170200446?\nAnswer: 2, 3, 13, 2182057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -10598*g + 165331 with respect to g.\nAnswer: -10598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -3*i**2 + 4*i + 12. What is f(5)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 13, -54, -1, -3, -5, 247 in decreasing order.\nAnswer: 247, 13, 4, -1, -3, -5, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 48350 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.05542 rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -121 (base 15) to base 16\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0019069527 to four dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 46?  (a) -10  (b) 0.122  (c) 3.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (35 - 16*f - 35)*(-4 + 6 - 4 + 3*f**2) in the form m*f + k*f**3 + n*f**2 + q and give m.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2338527384 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2693 - -1863. What is the thousands digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + f + 89 = 0, 2*k + 2*f - 49 = 13. Let i = -32 + k. Let x be (42\/20 + i)*-1. What is the biggest value in 0.1, x, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**2 + 11*h - 7. Let o be y(10). Suppose 8 = -o*d + d. Which is smaller: d or -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 2*g)*(5*g - 4*g + 0*g) + 4*g**2 + 5*g**2 - 4*g**2 - g**2 + 5*g**2 - g**2 + (4*g - 6*g + 0*g)*(0*g + 0*g + g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -3.8  (b) 3  (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (74*j**4 - 17*j**4 + 87*j**4)*(21 + 21 - 6)*(-j + 0*j - j).\nAnswer: -10368*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 176217?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**2 - 6*u + 25. List the prime factors of f(-10).\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d**2 + 0*d**2 - d**2)*(-4*d**3 + 4*d**3 + d**3) - d**5 + 2*d**5 - 4*d**5.\nAnswer: -2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 82?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45 = 8*x - 29 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -375 - 500 - 2*t + 883.\nAnswer: -2*t + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -17530, -18429, -19344, -20281, -21246, -22245, -23284?\nAnswer: -24369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the first derivative of -3\/2*b**2 - 13 + 0*b. Let n(m) = -14*m. Determine n(r(s)).\nAnswer: 42*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + g - 20 = 0, 5*g - 14 = 6. Suppose 81 = 3*h - q*h. Let m be (6\/8)\/(h\/(-24)). What is the second biggest value in 6\/11, m, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -9*i + 11. Calculate x(5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 211.839736 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -42 (base 10) to base 4\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-4)\/(-3))\/((-6)\/(-18)). Let v be (0\/(-1))\/2 - 0. Solve -u + x + 0 = v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 9*t**2 - 2 + 9*t**2 + t + 13 - 31*t**2 + 11*t**2. Calculate r(-5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 (base 4) in base 11?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 212 + -212.5. Sort s, 0.08, -1\/4, -1\/3 in decreasing order.\nAnswer: 0.08, -1\/4, -1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**2 - 53*i - 185. Suppose 0 = -2*n + 4*q + 22, -2*q + 5*q + 69 = 5*n. Suppose -y = -16 - n. What is the remainder when y is divided by u(-49)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(605) + ((sqrt(605) - (-2 + sqrt(605))) + 4)**2.\nAnswer: 11*sqrt(5) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100 = -5*u + m - 38, -u = 5*m + 38. Let i be ((-36)\/45)\/(u\/10). Let t = -1\/40 - 77\/120. Which is smaller: i or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.050304nm to micrometers.\nAnswer: 0.006050304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-1*sqrt(80) + sqrt(5))*-3 - (4*-1*sqrt(15) - sqrt(15))\/((sqrt(33) - (sqrt(33) + sqrt(33)*2))\/sqrt(11)).\nAnswer: 13*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4888 + 396b?\nAnswer: -c1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9955, 9930, 9877, 9790, 9663, 9490, 9265, 8982?\nAnswer: 8635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the first derivative of v**3 + 191. Let g(r) = -r**2. Give g(f(w)).\nAnswer: -9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 140 a factor of 5740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -39, -2077, 508 in ascending order.\nAnswer: -2077, -39, 508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11306*i - 11303*i - 4*z = -21, 2*i + 13 = 3*z for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 2688*o + 6 - 14051*o - 3.\nAnswer: -16739*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -40 - -35. Let x be (-5)\/((-15)\/(-36))*(-10)\/(-30). Sort x, 21, m in decreasing order.\nAnswer: 21, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1649155254.\nAnswer: 2, 3, 274859209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 98711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 806 minus -5?\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 134*q**3 - 1544*q**4 + 4 - 132*q**3 + 2*q - 4 to the form t + h*q**3 + s*q**4 + o*q + m*q**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1 + -4ae5?\nAnswer: -4ae6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 489 divided by 3.\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 105\/4 - 26. Which is the nearest to v?  (a) 3\/5  (b) -0.3  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -37035180 to the nearest one million.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -3*d + 2. Let p be w(-2). Let x(y) = -14*y - 94. Let a be x(10). Let q = a + 250. What is the highest common factor of p and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -5*x**2 - 4410*x - 525430. What is s(-740)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ttpohtoontt. Give prob of picking 1 n, 1 t, 1 h, and 1 p.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 - -2. Let y = a - -8. Suppose 5*w = -v - 3*v + 163, 4*w - 152 = y*v. What is the greatest common divisor of w and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -a, 5*p + 2*a - a - 11 = 0. Suppose p*m - m - 36 = 0. Calculate the greatest common factor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 725579\/26 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -75*n + 60. Let z(b) = -6431 + b + 3152 + 3278. Give -5*p(k) - 300*z(k).\nAnswer: 75*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.010028ng to milligrams.\nAnswer: 0.000005010028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of -15.911 and -3488.3.\nAnswer: -3504.211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -149.9 + 150.01. Put 3\/5, w, 3.9, 2, -1\/7 in ascending order.\nAnswer: -1\/7, w, 3\/5, 2, 3.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-1*sqrt(130)*1 + sqrt(130) + sqrt(130) + (sqrt(130) + 2*sqrt(130))*-3 + sqrt(130))\/(2*sqrt(160)*-2)*-4.\nAnswer: 21*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(3*1\/(-12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2*((-32)\/(-10) - 4)*-5. Let q be 3*((-20)\/(-3) - h\/(-4)). Does 5 divide 1\/(2\/(-6)) + q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**4 + 4*r - 4*r)*((-4 + 5 + 0)*(0*r - r + 2*r) + 2*r - 6*r + 2*r + 2*r - 2 + 2 - 4*r - 7*r - 13*r) - 3*r**5 + 6*r**5 - 2*r**5.\nAnswer: 47*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -7*6\/(-231) - 3128\/22. Let z = 880 - o. List the prime factors of z.\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(5\/3))**(-16\/7)\/((j**25*j)\/j)**(-1\/23))**(-33) assuming j is positive.\nAnswer: j**(14465\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2155*t + 721*t + 717*t - 89*t**2 + 62*t**2 + 717*t.\nAnswer: -27*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 c when two letters picked without replacement from cvvvpccccp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (13 - 89 - 27) + 28?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iurgrigrr. Give prob of picking 1 u, 1 r, and 1 g.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n + 40 = 4*y, 7*n + 5*y = 3*n + 45 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 35 in 4, 3\/11, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 192780.\nAnswer: 2, 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 1 a, 1 f, and 1 k when four letters picked without replacement from {a: 2, u: 3, r: 1, k: 1, f: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the third derivative of -53*f**4\/8 - 20*f**3\/3 + 4*f**2 - 38. Find the first derivative of q(m) wrt m.\nAnswer: -159","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -146 or -1611\/11?\nAnswer: -1611\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, o: 2, x: 1}. Give prob of picking 2 o and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**3 - 4*x**2 - x - 17. Let a be b(-7). Suppose 3*w - a = 133. Calculate the remainder when w is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 387 is divided by 99?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 77*t + 79*t - 160*t. Let v(b) = 2*b - b - 5*b. Determine v(g(p)).\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -1.4257193597 + 28\nAnswer: 26.5742806403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 4 - 7)*(2*q + 0*q + 0*q)*(0*q + q - 2*q) - 19*q**2 + 54*q**2 - 28*q**2.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((sqrt(14)*2)\/sqrt(7) + -1)**2 - (sqrt(2)*4*-2 + -6*(sqrt(12)\/sqrt(6))**2).\nAnswer: -12*sqrt(2) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -3469*p + 1065. What is the hundreds digit of o(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 64947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -4*d**2 + 3*d - 25. Let j be x(-13). What is j rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**2 + 21*b - 26. Let a be ((-140)\/(-112))\/((-3)\/(-48)). What is z(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3751, -3\/7, -192?\nAnswer: -192","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -19*b**4 - 9*b**4 + 25*b**4 + (0*b**3 + 3*b**3 - b**3)*(-3 + 3 - 2*b) - b**4 + 4*b**4 - 2*b**4.\nAnswer: -6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 minutes after 4:45 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 24\/(-42)*(-21)\/(-27)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 515*x**2 - x - 2*x + 2*x - 516*x**2. Let f(g) = 3*g**2 + 6*g + 5. Give -f(i) - 4*u(i).\nAnswer: i**2 - 2*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2.96 + -0.04. Let s = 3.4 + v. Sort 1, s, 1\/3 in ascending order.\nAnswer: 1\/3, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 (base 12) in base 15?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0 - (1 + 0 - -2). Let n be 3 + (-21 - -14 - (-26)\/6). Which is the closest to r?  (a) -1\/4  (b) -0.1  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3714319061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 28\/89 + -6314\/267. Which is bigger: -23 or n?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(8\/38) + 111\/(-148)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -23 + 20. Let h be 3 - (a\/3 + -1 - 0). Suppose d - 32 - 67 = 2*i, -h*i = 2*d - 189. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 105 - 73. Calculate the remainder when c is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5.0543 + 0.0543. Which is the nearest to -0.1?  (a) -1\/2  (b) m  (c) -4\/131\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -45, -392, -949, -1716, -2693, -3880?\n\"Answer: -105*g**2 - 32*g + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1101101111111000 (base 2) in base 6?\nAnswer: 1112412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*s**2 + 468*s**3 - 302*s**3 + s**2 + 3*s**2 - 8*s**2 - 5*s**2.\nAnswer: 166*s**3 - 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-5)\/(-10) + 3\/(-2). Let y(p) = -861*p + 4. Is y(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, -16, 4, -4, 1.\nAnswer: -16, -13, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 - -4. Let g = -7.37 + -2.63. What is the second biggest value in s, g, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((0 + sqrt(1008))*-3 - (1 + sqrt(1008) + 1)) + 1)**2 + 0.\nAnswer: 96*sqrt(7) + 16129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1345 - 339 + 16*l**2 - 340 - 336 - 330.\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = 3*m + 5*v - 9, -3*v = -3*m. Solve 2*i = m + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -9, -6 in decreasing order.\nAnswer: -1, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(5) + -4)*4.\nAnswer: -48 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 + 22*y - 7*y - 13)*(7 + 16 - 4).\nAnswer: 285*y - 57","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 1\/11361?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 19.429 - 19.6. Let n = 0.686 + p. Let c = 0.68 - n. What is c rounded to two decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/2 of a millennium in decades?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2.327 + 2.367. Which is the third smallest value?  (a) 2  (b) p  (c) -157\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 112 a factor of 5936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -10137213 divided by 3379071?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -434131*d - 2604799. What is i(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Are 8700 and 8704 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 199565 - -13?\nAnswer: 199578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five quarters of a second in milliseconds?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*((x*x**(-3\/14)*x)\/x)\/x)\/x)\/(((x\/(x\/(x\/(x\/x**(-25)))))\/x*x)\/x) assuming x is positive.\nAnswer: x**(361\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**(-6))\/b**5)**29 assuming b is positive.\nAnswer: b**(-290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in thirteen quarters of a millimeter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**2\/15 + 6*p\/5 + 28\/15.\nAnswer: 2*(p + 2)*(p + 7)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.005967348983 rounded to 5 decimal places?\nAnswer: -0.00597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 9) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-31)\/(-35) + -1)\/(11914\/(-4255))?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**3 - 10*q**2 - 11*q + 4. Let k be o(11). Let s = 1 + k. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -348260, -1\/8, -1\/3, -5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -263*c**3 + 141*c**3 + 143*c**3.\nAnswer: 21*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z**3 + 256*z + 1 - 256*z)*(-2 + 0 + 1).\nAnswer: -2*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5048, 4576, 4104, 3632?\nAnswer: 3160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00063394 to 6 decimal places.\nAnswer: 0.000634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -69.25 - -69.04. What is the closest to -0.1 in l, -3, 3, 1\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*q - 4*b - 4, 2*q + 4*b - 4 + 0 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -450 + 118. What are the prime factors of 6\/(-33) - z\/11?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 520 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -11\/5  (b) 1\/8  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 314 divided by -74.\nAnswer: -157\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-72)\/2*(-1)\/2. Suppose -3*g - q = 2*g + 42, 0 = 5*q + 10. Let s = l + g. Calculate the lowest common multiple of 22 and s.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 390117*n**2 + 109817*n**2 + 49671*n**2.\nAnswer: 549605*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -81*r + 75*r - 1 + 2 to the form q*r + a and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -760*d = -3296*d + 131872 for d.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 164 and 138054380?\nAnswer: 138054380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 3*b = 5*d - 150, -4*b = -4*d - 200. Let f(n) = -b + 50 - 5*n. Determine f(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the first derivative of -q**7\/168 + q**4\/24 + 7*q**3\/3 - 12. Let y(a) be the third derivative of m(a). What is y(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -11*g**2\/3 + 339574409*g\/3 + 61740802\/3.\nAnswer: -(g - 30870401)*(11*g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w. Suppose -3*f = h + 9, 4*h - 3*f = -f - 8. Let a = h + 3. Let z be r(a). Sort -2, z, -3 in ascending order.\nAnswer: -3, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:16 AM and 7:15 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -26 - -42. Suppose -2*b + w = 2*g, -4*b + 15 = 5*g - 29. Calculate the highest common factor of g and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**(-6)\/r)\/(r\/(r\/r**(-2))))\/((r**(-1\/3)*r)\/r*r**(1\/2)\/r))**26 assuming r is positive.\nAnswer: r**(-325\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**2 + 10. Let s be (2 + (0 - 2))*(-5)\/10. Let m be v(s). Solve 0 = 5*z - 0*z + m for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 29185 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11904*q**2 + 314*q - 207 wrt q?\nAnswer: 23808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -2*l + 1. Let w(x) = -x + 1. Let g(c) = 3*a(c) - 5*w(c). Differentiate g(n) with respect to n.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 7*s - 1. Let p be f(1). Let r be 1 - (-112)\/(-70) - (-2)\/10. Which is the nearest to -5?  (a) p  (b) r  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 364 = 4*d + 3*b, 133 = 2*d - 3*b. Calculate the remainder when d is divided by (-2)\/(-13) - ((-111)\/39 + -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 4*r**2 - 7*r. Let m(n) be the third derivative of n**4\/12 - 2*n**2. Calculate m(b(a)).\nAnswer: 8*a**2 - 14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 109 + (12 - (-2 - 10 - -20) - 6).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 20 + 68 + 60)*(0 + 0 - q).\nAnswer: -105*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the first derivative of t**2 - 8*t - 4. Let j be p(5). Solve -j*o - 2 + 4 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*q**2 + 987440*q - 48751887680.\nAnswer: -5*(q - 98744)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 33*d**2 - 3*d - 2. Let i be b(-2). What is the greatest common divisor of 17 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 768 and 960?\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8877945.\nAnswer: 3, 5, 591863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f*f*f**(-1))\/f)**32)**(1\/4) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1945732, 7782949, 17511652, 31131841, 48643516?\nAnswer: 70046677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 114 + -165. Let l = t + 55. Which is the third biggest value?  (a) 3  (b) l  (c) 5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10012021 - 1020203?\nAnswer: -11032230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 180 = 4*u, -2*u + 3*u = -p - 38. Let k be 201*1 + (-7)\/(u\/24). Let g = 315 - k. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r and 1 y when three letters picked without replacement from {w: 1, i: 1, h: 2, z: 1, r: 2, y: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -69 in 1.1, 0, 7\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 19.00017 - 19. Round g to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 + -10000010000111100011?\nAnswer: -10000010000111100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -c - 8?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 8 = -35. Let i(p) = -s*p + 0*p - 5*p - 8 + p. Is i(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:39 PM and 8:00 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/f**(-7))\/f**12)\/(f**(3\/22)\/(f**(2\/23)*f)) assuming f is positive.\nAnswer: f**(-1543\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 62567 and 38912?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 200453377?\nAnswer: 71, 2823287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 53517998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (-14 - -13) + -1 + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/7, 5, 4 in descending order.\nAnswer: 5, 4, -5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3 + -4 + 1)\/(-18 + 4). What is the second smallest value in i, -5, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -47879.2 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2 - -5*(-1344)\/(-120). Calculate the greatest common factor of y and 15254.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0867 rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.4 in 0.1, -61, 1\/9, -0.1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -1*(-11)\/88*-8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 369\/9*(70\/5)\/(-14)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c*c**4))\/c**(-2\/15))**(42\/5) assuming c is positive.\nAnswer: c**(-812\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 90 = -18. What is the greatest common factor of v and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = 29*i - 68 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -192 - 278 = 47*a. Let f(g) = -14*g - 137. Calculate f(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -1339*b + 31. Let f be w(3). Let i = 8973 + f. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -312 - -310. Let m = -0.46 - -0.06. What is the closest to y in -1\/2, 2, m?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the second derivative of -p**3\/3 - 727*p. Let m(b) = 8*b**2 + 17*b**2 + 4*b**2. What is x(m(n))?\nAnswer: -58*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = k - 4. Suppose 3*l = s + 2*s + 24, 28 = 5*l - 2*s. Suppose -4*d - l*t = 20, d - 3 - 2 = t. Calculate w(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 divided by 1461391?\nAnswer: 13\/1461391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3038*k + 9*k**3 + 12*k**3 - 3038*k.\nAnswer: 21*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -8, 4, -3, 3, -1809.\nAnswer: -1809, -8, -3, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1568175 is divided by 33361.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(1*sqrt(16)\/sqrt(2) - ((0 + sqrt(648) - sqrt(648)) + sqrt(648) + sqrt(648))**2).\nAnswer: -2*sqrt(2) + 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 2553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 15161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 31948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-three fifths of a micrometer in nanometers?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*d - 10 = 6*z + 18*d, -3*z + 3*d + 3 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k = -4*h - 6, 0 = 78*k - 82*k + 4*h + 12 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the second derivative of -q**5\/20 + q**4\/4 + 3*q**2 + 6*q. Let d be a(3). Suppose d*t - 3 = 5*t. Solve -2*z + t*z - 3 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 65*a + 23*a + 1616 - 4818 - 4542 for a.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 167\/30 and (-84273)\/(-6930) + (-4)\/66.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2436320457.\nAnswer: 3, 137, 658643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -856  (b) 0  (c) -5  (d) 111\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -2*r**3 + r**2 + r + 1. Let x(m) = -7*m**3 + 16*m + 18. Let b(f) = 6*u(f) - 2*x(f). Let b(k) = 0. Calculate k.\nAnswer: -5, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bebe when four letters picked without replacement from {b: 5, e: 7}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1315, 5270, 11869, 21106, 32975, 47470?\n\"Answer: -w**3 + 1328*w**2 - 22*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u + 9 - 33. Factor 4*f + f**2 + f**2 + f - u*f - f**3.\nAnswer: -f*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a millimeter in micrometers?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 19 - 13. Let s(y) = 1236*y**2 + 8*y - 16. Let p be s(c). Let z = -25528 + p. What is z rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 129080000 to the nearest 1000000.\nAnswer: 129000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n**2 + n + 5. Suppose 3*f + 12 = 5*f. What is the remainder when c(-6) is divided by 4\/6*36\/f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the third derivative of i**8\/672 - 11*i**7\/420 - 5*i**6\/48 - 13*i**5\/120 + 396*i**2 + 2. What is r in f(r) = 0?\nAnswer: -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 63.20088mm?\nAnswer: 63200880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*d - 513 + 134 - 125 = 0 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w + w**3 - 2*w)*(-3*w**2 + 0*w**2 + w**2) + (4*w**5 + 0*w**5 - w**5)*(8 - 1 - 2).\nAnswer: 13*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m**3 - 35*m**2 + 102*m - 3567. Give j(35).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 523.5671 millennia in decades?\nAnswer: 52356.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -6*k + 14. Give r(14).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -3 + (5 + (sqrt(833)*-2)**2 - ((-1*sqrt(833) + sqrt(833))*-4)**2).\nAnswer: 3329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = j + 2*j + 12, 2*n - 4*j - 16 = 0. What is the first derivative of -5 + n*z + 2 + 0 + 3*z wrt z?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -23*j - 87. What are the prime factors of w(-14)?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z - 1660 = -3*z - 670. What is the lowest common multiple of 5 and z?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 60974320 and 106480.\nAnswer: 9680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 68575.88um in centimeters?\nAnswer: 6.857588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66*h = 38*h + 84 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that -5*r**3 + 25*r**2 + 85*r - 105 = 0.\nAnswer: -3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1253021 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*u - 1590 - 503. Calculate the highest common divisor of u and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**2 - o + 1. Let h(w) = -18*w**2 - 10*w + 12. Let g(l) = 16*l + 497. Let a be g(-31). Calculate a*h(x) - 12*r(x).\nAnswer: -6*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -107, -883, -3011, -7175, -14059, -24347, -38723, -57871?\nAnswer: -82475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7\/10 and (-43)\/(-3) + -2 + 0?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13794 * 0.2\nAnswer: 2758.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10011000000 + -101?\nAnswer: -10011000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -9860000 to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -0.1, -4\/2293, -1 in descending order.\nAnswer: 0, -4\/2293, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**2 - 61*b - 862. What is f(-39)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 13581 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 144466 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 9048, 9047, 9048, 9051, 9056, 9063, 9072?\n\"Answer: g**2 - 4*g + 9051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the first derivative of -u**3\/3 + 19*u**2\/2 - 55*u - 22. Let s be d(15). Solve 2*i = 2*n - 8, -n = -s*n - 5*i - 11 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-8) - (12\/56)\/(-3)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**2\/2 + 123*d - 15129\/2.\nAnswer: -(d - 123)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -9, 1\/3, -10\/159, -23, -6, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -8110549 (base 10) to base 13\nAnswer: -18ac855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 395 - 90 = 0. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the first derivative of x**4\/4 + 4*x**3 - 5*x**2 + 42*x - 1. Suppose -75*r - 42 = 933. Let o be k(r). Solve -2*b + 1 = -o for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/36 in -1\/9, 2, 0.49, -1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**2 + w + 10. Let i(t) = t**3 - t**2 - t. Let u be i(0). Is a(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 16 - 49. Let t = y - -22. What is the units digit of 1 - (3 + (t - 0))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2*1)\/((-1)\/(-3)*6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.859943 - -0.86. What is r rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10733122823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-85*h + 85*h - 5*h**2)*(3*h + 1 - 1)*(4 - 4 - 2*h).\nAnswer: 30*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 349 and 35249?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*j**5\/15 - 6*j**4\/5 + 2126*j**3\/15 - 15062*j**2\/15 - 12188*j\/5 - 3872\/3 = 0. Calculate j.\nAnswer: -40, -1, 11, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (-3 - (0 + -7 + (15 - 6))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6813597*h**4 + 7187935.\nAnswer: 27254388*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -405*g**2. Let b(m) = 20*m. Calculate y(b(l)).\nAnswer: -162000*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*w = 38*w - d - 40818, -d = -7*w + 285684. List the prime factors of w.\nAnswer: 37, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8 + -14. Let w = 6.1 + q. Let j = 0.9345 - 1.2345. Sort j, w, -4, -2 in decreasing order.\nAnswer: w, j, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.4  (b) -2\/9  (c) -1299\/35693\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5038976214?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 - (2 - 0) - (91 - 68 - -20).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 12 + -15. Let d be (r\/(-5))\/((-2)\/(-10)). Solve 5 = -d*m - 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*l**3 - 13355 - 3*l + 0*l**3 + 98*l**2 - 28*l**2 + 13353 to the form k*l**3 + i + f*l + p*l**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let l be 2*(-2)\/(-2)*2. Solve 3*u + 11 = -l*r + 2*r, 3*u + 9 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -13.012055999 and -0.5.\nAnswer: -13.512055999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4995\/270)\/(11\/(-22)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - t + 127 = -379, 5*q - t = 2512. Calculate the remainder when q is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23943204.\nAnswer: 2, 3, 665089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*a = -5*p + 5*a + 25, -p + a = 2. Let u(j) be the first derivative of 2\/3*j**p + 0*j + 0*j**2 + 3. Let y(n) = 11*n. Determine u(y(z)).\nAnswer: 242*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide (-760)\/(-6) + ((-8)\/6)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*c - 257 - 120*c + 687*c.\nAnswer: 589*c - 257","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l - 35*j - 80 = 0, -5*l + 4*j = -0*l - 173 for l.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -2613273, -2613270, -2613267, -2613264, -2613261?\n\"Answer: 3*q - 2613276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 90783003*a**2 + 66012*a + 12.\nAnswer: 3*(5501*a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 - -4. Let o = -2.9 + 3.4. Which is the closest to -1?  (a) q  (b) -1  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 58 divide 580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 60 - 87 - (2 - 15)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*s + 4*s - 206. Let c(d) = 4*d**2 - 2*d - 2. Let v be c(4). Suppose 5*j + s = 4*h - v, 0 = -5*h + 4*j + 325. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (29 - -38) + 9119\/(-143).\nAnswer: 42\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -31.8 + 0.00126692650913?\nAnswer: -31.79873307349087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -89\/32 and 89\/48.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-68)\/45 + 8\/12. Let x = 13\/9 + a. Let g be 3\/(42\/8) - 15\/(-35). Are x and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*a**3 - 116 - 7*a + 116.\nAnswer: 6*a**3 - 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -63+-9.41\nAnswer: -72.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2288 = -136*m + 144*m. Calculate the highest common divisor of 78 and m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(52)*-2*1)\/(-1*(sqrt(4) + sqrt(64) + sqrt(4)))*-1)**2.\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*n**2 + 3*n**2 + 7*n**2 - 15*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -62 - 108. What is s rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2283159?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iiiisis?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**2 - p + 1. Let k(i) = -4*i**2 - 5*i + 5. Let m(c) = 2*k(c) - 10*o(c). Let d(v) = 13*v - 4. What is m(d(f))?\nAnswer: 338*f**2 - 208*f + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/5?  (a) 1  (b) 1\/12  (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3462 and 106441498.\nAnswer: 1154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 4465336.32 to the nearest 100.\nAnswer: 4465300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 2*p**2 + p - 2. Let h be m(2). Factor 10*k**4 + k**5 + k**5 - h*k**4.\nAnswer: 2*k**4*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3515 + -7023\/2. Put d, -0.4, -7\/2, -2\/25 in ascending order.\nAnswer: -7\/2, -0.4, -2\/25, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(2*(20\/(-5) + 3))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fzfzwbzzzf. What is prob of sequence zfw?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64*q - 359 = -615 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (4 - (-10)\/75) + -4. Sort n, 3, -6\/5 in increasing order.\nAnswer: -6\/5, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 + 9 = 5*t + 3*y, 0 = 4*y - 16 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1674, -1734, -1882, -2160, -2610?\n\"Answer: -7*v**3 - 2*v**2 - 5*v - 1660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11073254?\nAnswer: 2, 5536627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 9010 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*d - 10 + 0 + 15 to the form w + p*d and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1024\/3*q - 544\/3*q**2 + 1\/3*q**5 - 256 - 19\/3*q**4 + 48*q**3.\nAnswer: (q - 4)**4*(q - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 96 + -67. Suppose g*c - 30*c = -2. Solve 5*v + 3 + c = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1203 is divided by 53.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -16*l**3 - 2*l - 1 + 2*l**3 - 3*l**2 - l**3 + l**2. Suppose 0 = -45*y + 40*y + 20. What is the remainder when h(-1) is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2321 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 + 5 = 2*i - 3*m, -2*i + 16 = 3*m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.104 and -0.7.\nAnswer: 0.0728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64*k - 27024601 = -1013529. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 5*g + 0 = -25, -n + 2*g = -11. Suppose -r = -n*r. Let w be (-8)\/(-12) + 8\/6. Sort w, -5, r in descending order.\nAnswer: w, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/8 in 1\/11, -0.01, 0.3, -2\/4961?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1253 (base 6) to base 7\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**3 + 5*d**2 - 3*d - 3. Let h = 3 - 0. What is the remainder when 10 is divided by o(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2827 and 33073073.\nAnswer: 2827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 707746861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3  (b) -3\/4  (c) 3  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 260\/(-24) + (-11)\/11. Let m = -379\/30 - l. Which is the nearest to -2?  (a) m  (b) 5  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(275) + -3 + -6*sqrt(275))**2 - (sqrt(275) + 4 + 0 + sqrt(275)).\nAnswer: 140*sqrt(11) + 6880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -5*t + 138330. Let j(a) = 24*a. Determine p(j(i)).\nAnswer: -120*i + 138330","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000797 rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9, 5, -11, -45, -103, -191, -315, -481?\nAnswer: -695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s - 8 - 12. Let j = -25 + 11. Let t = s - j. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 325 >= 387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 49468, 98906, 148340, 197770, 247196, 296618?\n\"Answer: -2*q**2 + 49444*q + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 6898728060 to the nearest 100000.\nAnswer: 6898700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.1 - 3.9. Let z = 120 - 119. Let h = 0.5 + -0.43. Sort z, h, f in ascending order.\nAnswer: f, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t - 17 = 4*g, -309*g + 312*g - t = -10 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the third derivative of -1\/60*b**5 + 0 + 2*b**2 + 0*b - 1\/3*b**3 + 1\/6*b**4. Let d(q) be the first derivative of u(q). Determine d(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (((-20)\/(-3))\/5)\/((-5)\/(-15)). Suppose u = 2*t, 3*f - 3417 = -t - 2*t. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6108 (base 9) to base 15.\nAnswer: -14c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes after 7:10 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a**2 + 3*a + 6. Suppose -5 - 5 = -2*s. What is y(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 0.5  (b) 5\/3  (c) 0.4266  (d) 0  (e) -0.3  (f) 0.32  (g) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4.8998 * -0.04689.\nAnswer: 0.229751622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 57143981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.379 + -0.121. What is the fourth biggest value in -2\/5, -0.08, 2\/7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1319 (base 12) to base 13\nAnswer: -cba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-4\/7)\/(((r*r**(2\/3))\/r*r)\/r))\/((r\/(r**(5\/4)*r))\/(r\/(r*r*r**(-1)))))\/((r**(-5\/4)*r\/(r**(-9)*r))\/(r\/(r\/r**(-2)*r))**(-1\/3)) assuming r is positive.\nAnswer: r**(-283\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**4\/4 - 1523*p**3\/4 - 214130*p**2.\nAnswer: p**2*(p - 1960)*(p + 437)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/113?  (a) 2  (b) 4  (c) 5  (d) -529  (e) 2\/49\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -13 + -6 + 4\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r**2 - 14*r - 8. Calculate the remainder when ((-2)\/2)\/(1\/(-20)) is divided by y(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1169555353 to the power of 1\/2, to the nearest integer?\nAnswer: 34199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2995385149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:52 AM and 5:38 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 368 = 4*z + k, 5*z - 4*k = 110 + 371. What is the highest common factor of 62 and z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 132 or 130?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 1099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that 2*n**4\/7 + 47078*n**3\/21 - 2159326*n**2\/21 + 3474886*n\/3 + 8349736\/21 = 0.\nAnswer: -7892, -1\/3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - (270 - 308 - (24 - (-3 - -6))).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i*i\/(i*i*i**(-2\/29))*i**1)\/(i**(-2\/3)\/i)**37 assuming i is positive.\nAnswer: i**(5545\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 185 divide 33670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**3 + 4*o**2 - o - 3. Let r be d(3). Suppose 4*w = -r*j - 65, 3*w - 6*w - j - 50 = 0. Put w, 0, 3 in decreasing order.\nAnswer: 3, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1757 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 222088.\nAnswer: 2, 17, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 t when two letters picked without replacement from wwtmwtwmw?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 23.70026 kilograms in tonnes?\nAnswer: 0.02370026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 223098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 42647\/5958 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -5*p**2 + 71*p - 79. What is h(13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 257 and 4.\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/((-2)\/(-4) - 1). Let k = h + 4. Let q = -1 - 1. Put 0, k, q in ascending order.\nAnswer: k, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yqqyqryyyrqq. Give prob of picking 2 r.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -232, -464, -710, -976, -1268, -1592, -1954, -2360?\n\"Answer: -v**3 - v**2 - 222*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2005 - 2000. Suppose -4*j - 4*j = -32. Solve 0 = q + z*v - 7, q - j*v = -v - 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/(50\/15))\/((-216)\/(-32))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 701011542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 91395505?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 843006471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the first derivative of -11\/3*p**3 - 95 + 0*p**4 - 53\/5*p**5 + 0*p - 1\/2*p**2. Find the third derivative of l(s) wrt s.\nAnswer: -1272*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2342*y - 4*u + 48 = 4685*y - 2361*y, 0 = -5*u + 15 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 96935 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 64 = -3*g. Let i be (-2)\/(-1) + g\/6. Let z = 0 + i. Which is the closest to z?  (a) -0.2  (b) 0.3  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 12, b: 7}.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*a = -26*a + 42 + 3 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -49*g - 8. Let o(h) = 97*h + 15. What is -3*o(k) - 5*t(k)?\nAnswer: -46*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5, -891, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 7\/(210\/(-24))*-5. Let k be ((-32)\/(-6))\/(3\/18). What is the second derivative of k*g - 10 - 2*g**c - 2*g**4 + 10 wrt g?\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31609*k - 10532*k - 10537*k + 6 - 4 - 2 - 10536*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1355650201 to the nearest integer?\nAnswer: 1107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1 + -1. Let w be -2 + (-54)\/(-10) - 38\/95. Solve -i = -w - v for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 84.8, -67, 2\/9, -2, -4 in increasing order.\nAnswer: -67, -4, -2, 2\/9, 84.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -768 = 129134178*z - 129134190*z for z.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**2 - 1086*s + 93933. Calculate c(95).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 728156 + 0?\nAnswer: 728156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 4*b - 653 = 0, 5*b = -26 + 1. Suppose -s + 30 = -2*t, 5*t + 3*s + 2*s = -105. Let y = p - t. List the prime factors of y.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7\/6 of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f**2 - f + 8819. Let x(t) = -t + 5567. Give v(x(a)).\nAnswer: a**2 - 11133*a + 30994741","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*2*sqrt(108) + 4*(sqrt(108) + 0))*-1)**2 - (-3 + 0 + sqrt(3) + sqrt(3) + (sqrt(3) - sqrt(48)) + 0 + sqrt(3) + 5 + 1).\nAnswer: 6909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(1\/4)*p**6)**29 assuming p is positive.\nAnswer: p**(725\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 414 - 409. Solve o*z = 30 - 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 34*h - 66. Let j be g(2). Sort -2, 3, j, -4 in descending order.\nAnswer: 3, j, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by 2670?\nAnswer: 1\/1335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1480 + 36*n**4 + 1480 + (4*n**3 - 2 + 2)*(-3 - 3 + 2)*(1 + n - 1).\nAnswer: 20*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -8c (base 16) in base 4?\nAnswer: -2030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the first derivative of -v**2 + 2. Let z(s) = -503 + 18*s + 503. Calculate z(j(y)).\nAnswer: -36*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {e: 14, l: 4}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1137*q - 917*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 515 a factor of 17541082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 18426984 and 316494?\nAnswer: 165842856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**3 + 5*z**2 + 5*z - 10. Let w be -3*2 + 2\/2. Let m(h) be the second derivative of h**4\/12 + h**3\/6 - h**2\/2 - 18684*h. Determine w*m(g) + o(g).\nAnswer: g**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the first derivative of w**6\/120 - w**5\/12 - 5*w**4\/12 - w**3\/3 + 7*w**2\/2 - 21*w - 241. Let z(u) be the second derivative of n(u). Give z(7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -24 + 2 + 326 + -275 + (3 - 27)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*k**4 - 124*k**3 + 149*k - 2?\nAnswer: 24*k**2 - 744*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = 3*f - 2229, 2*n = f + 2444 + 2000. Suppose -24*h = -5*h - n. Let y = 23 + 7. Calculate the remainder when h is divided by y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 6.5 and -3245.\nAnswer: -21092.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/129, -57, 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 19 + 7 - 31 + 9 + 50*d + 7 in the form f*d + v and give f.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.028 - -0.028. Suppose 3*f = -4*d + 72 + 3, 2*f + 65 = 5*d. Let s be (-1)\/d*15\/(-6). Which is smaller: h or s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -7*a + 3. Let f be n(6). Let h be (-3 - -4)*354\/(-9). Let r = h - f. Sort r, -2\/7, -3\/4 in decreasing order.\nAnswer: -2\/7, r, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 31\/5 of a kilogram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 a and 1 d when four letters picked without replacement from {h: 1, d: 1, c: 9, a: 8}?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q**2 + 3*q + 7. Let r be a(4). Solve 3*x - 4*d + 19 = 0, r*x = 7*x - 2*d + 12 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2086.9498 rounded to the nearest 10?\nAnswer: -2090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 737348, 737274, 737150, 736976, 736752?\n\"Answer: -25*s**2 + s + 737372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -12850, -31825, -50800?\n\"Answer: -18975*s + 6125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -18 times -0.5\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -3*c - 3*t + 2, -8 = -5*c - 2*t. Solve c*y = -0*y - 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2 + 8\/3*x**2 - 26\/3*x.\nAnswer: 2*(x - 3)*(4*x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 8*a**2 - a + 1. Give m(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 16 - 17 = -3*y, 3*y = -2*x + 25. Suppose -h - 2*i + x = 0, -3*h - 3 = -i - 2*i. Suppose 8 = -r + h. Let o(v) = -v**2 - 8*v - 2. What is o(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (-2 + 1) - (96 + -93).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 17215416 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1499311803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -1, 1, 0.2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -151 - -33?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the first derivative of n**8\/504 - n**7\/630 + 2*n**3\/3 - 6. Let m(q) be the third derivative of k(q). Find h such that m(h) = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -142533451 (base 6) to base 14\nAnswer: -5660d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -4 - -1*(-116)\/(-30). Let s = -7.3 + 7. Which is the third smallest value?  (a) s  (b) -2\/5  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 781645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 16669 and 804773?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -76, -124, -160, -178, -172, -136, -64, 50?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/504)\/((-1230)\/45920).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 33 - 16. Suppose 20*u = n*u. Suppose 30 = -u*s + s. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1292 + 1291. Which is bigger: -2\/19 or k?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -163942\/5 + 32617. Let s = -170 - y. What is b in -7\/5*b - 2\/5*b**4 - 1\/5*b**2 + 3\/5 + s*b**3 = 0?\nAnswer: -1, 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/(-2) + (-36)\/8. Let g(l) = -l**2 - 6*l + 1. What is the units digit of g(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from amiaiamaia. Give prob of picking 1 i, 2 m, and 1 a.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18526010, 18526012, 18526014, 18526016?\nAnswer: 18526018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -27 - -26. Let f = p + -3. What is the third smallest value in 1\/2, f, 3, -0.5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**2\/4 - 153*y\/2.\nAnswer: 3*y*(y - 102)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes before 6:54 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**2 + 7*w + 24. Let z be s(12). Calculate the common denominator of 41\/14 and (3 - 147\/z)*1.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1150?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uufuaawuaaaaf. Give prob of sequence fa.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-2\/7))**(-18)*z**(-4)\/(z\/(z\/z**(-1\/6))) assuming z is positive.\nAnswer: z**(-701\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5  (b) 4  (c) 2\/3  (d) 2\/7  (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 3472.328 to the nearest ten.\nAnswer: 3470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 73*k - 657. Let o be n(9). Solve -21*c - 3*c - 144 = o for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u**3 - 448794*u + 5*u**3 - 116*u**2 + 448674*u - 3*u**3 = 0. Calculate u.\nAnswer: -1, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hnng. Give prob of picking 1 g, 1 n, and 1 h.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(108) - 3*sqrt(108) - sqrt(108)) - (-1 + sqrt(108) + sqrt(108) - sqrt(108))*-1)**2.\nAnswer: -156*sqrt(3) + 18253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -2\/9, 5\/4, -2, 53?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 203 - 115716?\nAnswer: -115513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1626 + -105?\nAnswer: 1521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the third derivative of 0 + 1\/3*i**3 + 0*i - i**2 - 1\/8*i**4 - 1\/60*i**5 - 7\/120*i**6. Is j(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qeqqieqie. Give prob of sequence iq.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -139\/7951074 and -7\/54?\nAnswer: 71559666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 21652165 - -426?\nAnswer: 21652624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 504880662 a multiple of 2678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 30300 and 450?\nAnswer: 90900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -62*l. Let a = 35 + -32. Let g(x) = -2*x**2 - 152*x + 152*x + a*x**2. Calculate g(v(c)).\nAnswer: 3844*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 92004 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -12362 - -12365. Let h(s) be the second derivative of -a*s + 0 + 1\/4*s**5 + 0*s**2 + 3\/2*s**3 + 0*s**4. What is the second derivative of h(w) wrt w?\nAnswer: 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10002200 (base 3) in base 8?\nAnswer: -4323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -2214715775, -2214715776, -2214715777?\n\"Answer: -i - 2214715774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 4, l: 1, f: 3}. What is prob of sequence ffss?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 11*b + 12 - 20 - 19. Let c be y(4). Which is smaller: -2 or c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 17\/4 - (5 - (11 - 6)). Let y = -101\/20 + w. Which is the fourth smallest value?  (a) y  (b) 0  (c) 2\/9  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -9  (b) 2  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2505 + -2177. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u + 215 = -11*u. Let i = 30 + u. Let n = -11 - i. Solve 5*z + 2*f = 4, -16 = -n*z + 3*f - 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -507*i**4 - 6*i**3 + 789*i**2 + 3. Let g(m) = 505*m**4 + 4*m**3 - 790*m**2 - 2. Let x(b) = 3*g(b) + 2*s(b). Find the third derivative of x(v) wrt v.\nAnswer: 12024*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in r**2 - 2*r**2 - 8*r**2 + 3*r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20429 - 7219 = -578*b - 241*b - 22007 for b.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 6\/25 of a century?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 2*f**2 - 16*f - 25*f + 41*f. Let o(l) = -l + l + 2*l. Calculate o(i(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*u**4 + 0*u**4 - 2*u**4 + (-3*u + 2*u + 3*u)*(5*u**3 + 2*u**3 - 3*u**3).\nAnswer: 10*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 570 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-6)\/9)\/((-2)\/3). Let s be v\/7 + (-116)\/28. Let i be (39 + -1)*(-2)\/s. Calculate the highest common factor of i and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9839, 53.8, 0, 0.5 in decreasing order.\nAnswer: 9839, 53.8, 0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000665831 to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 1480000*s. Let h be k(-5). What is h rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (5\/(-4))\/((-1)\/4). Let i = -17 - -19. Suppose -4*m + m - p = -y, y - i*m - 5 = 0. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = 3*n - 172, 192 + 84 = 5*n + x. Suppose 135*o = 138*o - 21. Calculate the highest common factor of o and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1721615 is divided by 2418?\nAnswer: 2417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the second derivative of 3*u**3\/2 + 7*u**2\/2 + 13*u. Let n be p(-1). Let r = 51 - 47. Sort n, -7, r in decreasing order.\nAnswer: r, n, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - t - 15 = 0. Suppose 0*f + t*f = 150. Suppose f = 3*y - 15. Does 15 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -2*d**4\/7 - 44*d**3\/7 + 106*d**2\/7 + 228*d\/7 - 288\/7 = 0.\nAnswer: -24, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -358420000 rounded to the nearest 1000000?\nAnswer: -358000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2 and 170?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -278*f + 95 - 255*f + 536*f.\nAnswer: 3*f + 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*m = -65*m - 52 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 5, r: 1, p: 1, z: 2, k: 1}. What is prob of picking 1 z and 1 p?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2b - 995e5?\nAnswer: -99610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/5 - 44\/(-10). Calculate the remainder when (6 - 1)\/(l + -3) is divided by -2 + 14\/5 + (-96)\/(-30).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 766*l + 901. List the prime factors of u(8).\nAnswer: 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1022, -1017, -1012?\nAnswer: -1007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -51, 6, -5 in descending order.\nAnswer: 6, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 82596 is divided by 201.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1454105 is divided by 104.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 91763 is divided by 1105?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-5)\/3*(0 - -3). What is the units digit of 5\/150*6 + (-229)\/g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -144 (base 9) to base 11.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1*2\/6)\/(1656\/(-432)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 + -3. Let c = 44 + -30. Let o be (5 - 3) + c\/(-6). What is the smallest value in 5, n, o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**3 - 2*z + 30. Let x be f(0). What is the highest common factor of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-17 - -12) + -2 + -2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 16*a**3 - 6*a**2 - 28*a + 125. Give d(3).\nAnswer: 419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -161*w - 3. Let n be v(-3). Let o be n - (-2 + 2\/1). Suppose -2*h + o = 2*h - 4*b, 4*h = -3*b + 487. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**(-1)*i*i)\/i)**36*(i**(-2\/3))**(-23))**8 assuming i is positive.\nAnswer: i**(368\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15, -21, -51, -123, -255?\nAnswer: -465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -574 - -577. Which is greater: 118\/29 or t?\nAnswer: 118\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 less than -0.0081?\nAnswer: -0.1081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15119343 is divided by 1052.\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 385 = -5*c + 2*k - 478, 2*c + 343 = 3*k. Let z = c - -176. Solve -10 = -8*x + z*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/8, -4, -76 in descending order.\nAnswer: -1\/8, -4, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-105)\/(-231)*108\/3*4\/(-40).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -43650 - -82742. Is 29 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes after 5:31 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 5*p + 9 = 0. Suppose 1 = f, -p*c + 4*f = 2*f - 7. Differentiate -9*x - 4*x + x**c - 7*x - 9*x - 29 wrt x.\nAnswer: 3*x**2 - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -54995 - -604401\/11. Suppose 240*r - 9585 - 2665 = -5*r. Let h = o + r. Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the first derivative of -26\/5*z**4 - 2*z - 44\/5*z**3 - 16\/25*z**5 - 31\/5*z**2 + 78. Determine x, given that p(x) = 0.\nAnswer: -5, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/30*4170\/556)\/(1\/(-72))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52632.\nAnswer: 2, 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -207603 or -207652?\nAnswer: -207652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 91\/902 and 25\/656.\nAnswer: 7216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*p**5 - 11280*p**3 - 75*p**2*z - 27*p*z + 13*p - 3*z + 1 wrt p?\nAnswer: 40*p**3 - 67680*p - 150*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -216 - -259. Differentiate 2*q**3 + n*q**3 + 2*q**3 + 123 - 5*q**3 wrt q.\nAnswer: 126*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 130739.\nAnswer: 7, 19, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1519  (b) -2  (c) -10854\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(-9) - (-10)\/594*24. Let l be (4 - 8)*2\/(-12). Which is the nearest to -3?  (a) l  (b) 5  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76 = -4*f - 2*m + 4, 2*f + 3*m = 48. Let d be -1*(1 + 0 - 1). Suppose b - f = -5*g + 6, d = 2*g - 2. Is b a prime number?\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**5\/30 + m**4\/4 + 5*m**3\/18 - 2*m**2 - 6*m + 129. Factor k(g).\nAnswer: (g - 2)*(g + 2)*(g + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 15742*r - 15780*r - 874 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:12 AM and 12:36 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 57119659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 60848 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 22 = -2*d, -3*a = -a - 5*d + 13. Suppose 5*q + a = -2*u, -u = -5*u + 3*q - 12. Let h be (-2)\/6 + 2\/u. Do -0.4 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 706034 is divided by 10232.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0, -0.04519, -2\/7, -0.03 in descending order.\nAnswer: 4, 0, -0.03, -0.04519, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 27\/(-45) + (-466)\/(-10). Let a be m\/(-14) - (-8)\/28. Let p(r) = r**2 + r - 4. Let h be p(a). What is the biggest value in -1\/3, 1\/2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide ((-40)\/(-3))\/(5\/15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 + 1)*(24976 - 24976 + 16777*b**5).\nAnswer: -16777*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-4)\/44)\/(-8 - 385\/(-49)). Let r(u) = -u**3 + 3*u**2 + 5*u - 4. Let z be r(4). Which is smaller: z or b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -9*k. Let l be y(0). Suppose -14*z + 443 + 271 = l. Solve 56*b - 15 = z*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 31 - 339 = -2*o, 2*f - o - 196 = 0. Let v = 93 - f. Put 5, v, -3 in decreasing order.\nAnswer: 5, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 215239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.174146 to 2 dps.\nAnswer: -1.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 4273, 4272, 4261, 4234, 4185, 4108, 3997, 3846?\n\"Answer: -u**3 + u**2 + 3*u + 4270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(243) + 1 + 5)*3)**2*5.\nAnswer: -12555 - 4860*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - m - 12 = -3*m, 3*h + 4 = -4*m. Suppose -4*n + 92 = h*s, 0 = -4*n - s + 2*s + 87. Calculate the highest common factor of 11 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 363 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0.0382 + -122.7\nAnswer: -122.6618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 175, 352, 529, 706?\n\"Answer: 177*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 - -12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (((sqrt(204)*2)\/sqrt(12) - (-1 + sqrt(17))*6) + -3)**2*2.\nAnswer: -48*sqrt(17) + 560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:25 AM and 3:33 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*p - 3*p + 6*p.\nAnswer: -23*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 112 + (-2)\/(-6)*(-225)\/(-1050)*238.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t - 2. Let h be i(2). Solve h = 4*m - 2*m - 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -781916, -2\/7, -0.017?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 4*i**3 + 11*i**2 - 29*i + 2. Let k be d(2). Solve -h = 5*v - 24 + k, 0 = 2*v + h - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 183523870 to the power of 1\/2, to the nearest integer?\nAnswer: 13547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 223221044 (base 7) in base 9?\nAnswer: 27470338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, -354284, -40.8 in ascending order.\nAnswer: -354284, -40.8, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -457*w + 1548*w - 73097 = 0 for w.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -31, -132, -351, -730, -1311, -2136?\n\"Answer: -7*x**3 - 17*x**2 - x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 - -7. Suppose i + 4 = -f, 0*i - 9 = f + s*i. What is the derivative of 2 - 5 + 1 + 2*o - f wrt o?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -102\/11, 0.2, -2\/13 in descending order.\nAnswer: 0.2, -2\/13, -102\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -7  (b) -0.05  (c) 0  (d) -131  (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13237 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 + 0 - 2)*(814*f - 23 - 1199*f + 24) to k + y*f and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 39 - (49 - (2 - -29))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 5, 4, -979, -1, -311?\nAnswer: -311","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 + 0.51238831?\nAnswer: -12.48761169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 3*j - j - 4)*(3*j**4 - 3*j**4 - 5*j**4 + (3 - 3 - 2)*(3*j**4 - 2*j**4 + 0*j**4)).\nAnswer: -14*j**5 - 7*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1448.719266498 and 0.03.\nAnswer: -1448.689266498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0 - 2)\/((-1)\/7). Let g be (-18)\/6 - (-2 - 9). Let v = n - g. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the first derivative of 93*q**4\/4 - 2*q**3\/3 - 7*q**2\/2 + 8*q + 112. Let j = -5 - -9. Let n be s(j). What is n rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -2*s**2 + 6*s - 2. Let h(i) = 2*i**2 - 7*i + 2. Let a(v) = v**2 - 3*v + 1. Let y(q) = -7*a(q) + 3*h(q). Let z(n) = -m(n) + y(n). Give z(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 251757.6 to the nearest 1000.\nAnswer: 252000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Total of 133285535 and -1.4.\nAnswer: 133285533.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1*(-2 + 11)*-1. Let h(m) = 9*m - l*m - 2*m**2 + 4*m**2. Let k(i) = -28*i + 93. Let u(r) = 10*r - 33. Let b(f) = -4*k(f) - 11*u(f). Determine b(h(c)).\nAnswer: 4*c**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2461448019 to the power of 1\/2, to the nearest integer?\nAnswer: 49613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*d, 1 = -7*p + 2*p - 3*d. Let j be -1*3\/(2 - (-7)\/p). Suppose 5*s + j*k - 6713 = -0*s, 0 = -2*s - k + 2685. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 363 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 14 - -17?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 3, w: 17}. What is prob of picking 3 w?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 l and 1 n when four letters picked without replacement from {l: 11, n: 5}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -11 - 5552b?\nAnswer: -5553c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10804614.\nAnswer: 2, 3, 181, 9949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5585 + 5606. Solve -x*l = -12 - 135 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8379, 8346, 8291, 8214, 8115, 7994, 7851?\nAnswer: 7686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -2*(sqrt(405) + 0 + 0 + -3) + -5*(sqrt(405)*1 + -5)*5)**2.\nAnswer: -63180*sqrt(5) + 312145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3360 (base 8) in base 6?\nAnswer: 12120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -i + 16. Suppose -d + 3 = -i. Suppose 1667*f = 1674*f - 175. Calculate the remainder when f is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jk when two letters picked without replacement from kkkakkkjkjkjakjk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 18209591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 54727902 by 27363951.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the first derivative of -3*x**4\/28 + 17*x**3\/7 - 27*x**2\/2 - 243*x\/7 + 97. What is o in n(o) = 0?\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1369042361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 2, s: 1, g: 3, l: 1, b: 2, d: 3}. What is prob of sequence glgs?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 6 = -2*o - 2*h, 0 = -4*o - 5*h. Let j(b) be the second derivative of -1\/6*b**3 - 2*b + 0 - b**2. Calculate j(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 91029 and 4153191?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -378*a**2 + 27*a - 27. Let m(o) = -29*o**2 + 2*o - 2. Let h(w) = 63*w - 1539. Let z be h(24). What is z*m(t) + 2*r(t)?\nAnswer: 27*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**2 - 6*f + 1. Let s(m) = 8*m**2 - 52*m - 112. Let r(v) = -7*g(v) + s(v). Factor r(y).\nAnswer: (y - 17)*(y + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4464 or -1154?\nAnswer: -4464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + d = -830. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -344008*b**2 - 285437 wrt b.\nAnswer: -688016*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in -10, -4, 2, 0.1, -9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -16\/27993 and 8\/651.\nAnswer: 27993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*g + 17*g - 165. Let t be 1220\/g + 4 + (-20)\/6. What is the greatest common divisor of 287 and t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the first derivative of 2*a**3\/3 + a + 4204. Suppose 0 = -3*b - 3*o - 18, 0 = 6*o - 2*o + 16. Let k(t) = -6*t**2 - t - 4. Calculate b*k(y) - 7*u(y).\nAnswer: -2*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 4*y + 240 = 0. Let j be y\/(-20) + 0 + (-2)\/4. What is the second biggest value in 0.21, -2\/21, -4, j?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**2 - 14*f - 86. What is d(20)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the first derivative of l**3 + 5*l**2\/2 - 31*l + 93. Calculate the remainder when 73 is divided by m(4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -41 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2135 and 5040?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1348?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of -90689 and 6719.\nAnswer: -609339391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8823, -14457, -16891, -16119, -12135, -4933?\nAnswer: 5493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 59, 186, 437, 812, 1311, 1934, 2681?\nAnswer: 3552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -4*n. Let p(w) = -20*w - 1. Let c(z) = -2*p(z) + 11*t(z). Let i be c(4). Let r(s) = -14*s - 15. Is r(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 85066?  (a) 2  (b) 2\/7  (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*z = 5*z - 5. Let n be 4 + (7 + z)\/(-3). What are the prime factors of -2*1\/n*-63?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 4 = 2. Let j(y) be the second derivative of -1\/3*y**3 + 0*y**u - 2*y + 0 + 1\/6*y**4. Solve j(s) = 0 for s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -7 - 15*o - 4*o - 4*o + 23*o + 3*o. Let l(m) = -3*m. Let r be l(2). What is p(r)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 4\/3  (b) 10  (c) -4  (d) -11  (e) -31\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -50509.870018 - -50510. Let f = 0.13 - c. What is f rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, 1\/2, 3\/38, -0.04, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 46 and 4278?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + c = 3*n - 14, 2*n + 5*c = 5. Suppose -3*j = 2*j - n. Let g(r) = 2*r**3 + 5*r - 2. Let x(t) = 2*t - 4*t + 3*t. Determine j*g(s) - 3*x(s).\nAnswer: 2*s**3 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 77888.2 weeks in seconds?\nAnswer: 47106783360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -45\/2 - -23. Which is smaller: 8 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 6 = -j - 29, 2*j = 3*s - 66. Let r(q) = -q**3 - 24*q**2 + 47*q - 3. What is the units digit of r(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 17\/252 + (-54)\/567. What is the second smallest value in -4, 1, -1\/3, v?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g + m + 5 = 0, 4*g - 15*m + 20*m = 33 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 202381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 919977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 times -16850?\nAnswer: -3370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in 18\/5, 4\/33, -1\/6?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/((n**6*n)\/n))\/(n\/(n**9\/n))*n*n\/((n*n**(-8))\/n)*n**4 assuming n is positive.\nAnswer: n**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8592282*z**3 + 11*z**2 + 2*z + 72248.\nAnswer: 51553692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -5*w + 77 + 18, -60 = -c - 5*w. Let n = -36 + c. Is 12 a factor of 175\/6 - n\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = 2*q - 20, 61 + 22 = 5*q - l. Suppose -q = 2*u - 4*u - 2*t, -3*u = 4*t - 27. Suppose -2*c = -c - u. Solve -5*x = d + 30, -x + d + c = -d for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 99 and 2461077?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 + -2bb92?\nAnswer: -2bb8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 522 and 379494?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 2*s = -15 - 75, 2*r = -3*s - 95. Let g be -4 + -51 - 60\/(-10). Let v = r - g. Which is the second smallest value?  (a) 0  (b) v  (c) 3\/2  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**3\/2 + 2363*d**2\/2 + 22258*d - 23440.\nAnswer: (d - 1)*(d + 20)*(d + 2344)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 5*(72\/(-15) - -5). Let k = 33\/2 + -17. Which is the nearest to 7?  (a) k  (b) y  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 333727, 333726, 333725?\nAnswer: 333724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 162785285?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**(-15\/8)*c)**11*c**20\/c**(-12))**10 assuming c is positive.\nAnswer: c**(1335\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -4204, -6507, -8810, -11113?\n\"Answer: -2303*r - 1901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 174 + 6*x - 94 - 42 - 40. Let c(d) = 3*d - 18. What is c(i(p))?\nAnswer: 18*p - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 724880672 divided by -22652521\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 224 and 2\/(-5)*(800 - 880)?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*((-935568)\/(-216))\/(-146).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1472 = -20*y + 22*y. List the prime factors of y.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**3 + r + 1. Let b(y) = -16*y**3 + 120*y - 3. Let g(a) = b(a) + 3*j(a). Find the second derivative of g(l) wrt l.\nAnswer: -114*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(130)\/(sqrt(810)*-4) + sqrt(65)\/(sqrt(405)\/sqrt(9)).\nAnswer: 11*sqrt(13)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 12*x. Let i(j) = 46762*j + 19 + 281 - 23388*j - 23375*j. Determine z(i(v)).\nAnswer: -12*v + 3600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 542416729 to the nearest integer?\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 113*j + 38*j + 3968 = 27*j. Let q be 1 + (-24)\/3 + 2. Sort q, j, 0, -3 in ascending order.\nAnswer: j, q, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7678 divided by -349?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (18\/(-216))\/((-3)\/(-8))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1041*o**3 + 12*o**2 - 2*o + 3499827 wrt o?\nAnswer: -3123*o**2 + 24*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the second derivative of -a**6\/360 - a**4\/6 - 65*a**2\/2 - 291*a. Let c(b) be the third derivative of i(b). Let w(v) = -60*v + 3. Determine w(c(s)).\nAnswer: 120*s + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 143 divide 6864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -54*a**2 - 21*a - 5. Let y be v(-2). Let k = 284 + y. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**2 + 11*u + 30. Let z be c(-7). Suppose 4*j + 52 = 4*k, -z*j = 2*k + 2*j - 56. What is the remainder when 106 is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 - -2. Let k be (z\/(-15) - (-20)\/(-25)) + -41. Which is greater: k or -44?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the first derivative of -2*t**2 + 5*t + 2. Let q(d) = -3*d + 4. Suppose 21*p + 711 = 795. Determine p*h(u) - 5*q(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 193 - 155. Suppose g - 4*m = 44, -2*g - k = -3*m - 146. Suppose -n = -29 + 9. Calculate the highest common divisor of n and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29597 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -3*a. Let z(h) = -104*h**2 - 16516*h + 8259*h + 8258*h. Give z(b(w)).\nAnswer: -936*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1470163, -1470137, -1470111?\nAnswer: -1470085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5*-14*(-1)\/10. Let b(r) = r**2 - 7*r - 8. Let w be b(h). What is the remainder when 7 is divided by (-21)\/(-6) + (-4)\/w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rn when two letters picked without replacement from rhhrjrnnfnjrnn?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (222\/117 - 2)\/(8 + 130\/(-15)). What is the nearest to -2 in i, 0.056, -1, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1830, 422, 4178, 9444, 16226, 24530?\nAnswer: 34362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*f - 13*f = -g + 175, -21*g = 4*f - 140. What is the remainder when f is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 14811 + 30084. List the prime factors of u.\nAnswer: 3, 5, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 78, -2, -1\/160, -0.063 in increasing order.\nAnswer: -2, -0.063, -1\/160, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2*p + 1)*(12*p**4 - 40*p**4 + 4*p**4).\nAnswer: -48*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 34 - 9. Suppose 5*c - 6 = -2*v, v - 3*v + 6 = c. Suppose -v*r + u = 2*r. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 361 - 154. Let f = 139 - n. Let v be (-2 + f)\/(7\/28). What is v rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Put 3, 3609, 2, 19, -6 in decreasing order.\nAnswer: 3609, 19, 3, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3499 by 3.\nAnswer: 3499\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mnmymqmnnynym. Give prob of picking 3 n.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 239\/5 - (4 + -1). Let w = q + -45. Which is the biggest value?  (a) 0.5  (b) -1\/12  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {e: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 121 = -4*k + 123, 298 = 5*k - 2*b. Suppose -59*m - 273 = -k*m. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 303 (base 8) to base 5.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v + 10 = 11*v. Suppose v*n - 10 = n. Suppose -7*g + 20*g - 104 = 0. Calculate the smallest common multiple of g and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9 and 122733.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**2 - 15*l + 4. Let w be m(-15). Suppose w*i + i - 7395 = 0. Suppose -2*c + 359 - i = 0. What is c rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 21954, 22023, 22092?\nAnswer: 22161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*a**5 + 3580*a**4 + 55078*a**3 + 161712*a**2 - 220320*a = 0.\nAnswer: -36\/5, 0, 1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**3 - 4*t**2 + 2. Let l be b(3). Let o = -2 + -2. Let h = o - l. Is h less than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -107\/3 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-160)\/140*693\/36.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 386 - 390. Let z be ((-18)\/(-144))\/((-2)\/f). Let d = 5.08 + -5. What is the second biggest value in z, d, 4\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 270*f + 1 - 539*f + 274*f - f**2 + 2*f**4 to the form u + d*f**3 + b*f + z*f**2 + x*f**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 1  (b) 418\/7  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) 17\/4  (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/15, 0.12, 5, -0.003, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -94 - (-1 - 2\/(-1)). Let s = a + 854\/9. Let g = 1549 + -1549. Which is bigger: g or s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -6*p + 2. Let z(k) = -k + 1. Calculate -4*y(x) + 8*z(x).\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 869.2, -1, -424?\nAnswer: 869.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = g + 5*z - 5, 2*g + 4*z - 6 = 0. Suppose 4*l = 2*o + 62, 5*l - 27 = l - g*o. What is the highest common factor of l and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -6\/19  (b) 0.16054  (c) -1\/4  (d) 2\/13  (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11953*y**2 - 11074*y wrt y?\nAnswer: 23906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1164, -2327, -3490?\n\"Answer: -1163*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(1\/12)\/(a**15*a)*a**(-2\/9)*a*a*a\/(a\/(a\/a**(-8))) assuming a is positive.\nAnswer: a**(-185\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2803 + -1379. Is w a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-6)*0*4\/16. Suppose 82*g - 75*g - 217 = p. Calculate the remainder when 153 is divided by g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5*(-43)\/(2365\/132)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1100*i**3 + 529 wrt i?\nAnswer: -3300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 1  (b) -4\/7  (c) -0.2  (d) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22808729?\nAnswer: 101, 225829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*n - 355 = -5*b, -3*n - 2*b + 1619 - 1658 = b for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**3 - h**2 - h - 15. Let c be d(0). Let t = c - -28. Is 13 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:29 AM and 5:21 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(2\/9))**(-40)\/(f*f**(1\/4)\/f)**(-18) assuming f is positive.\nAnswer: f**(-79\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*((sqrt(152) + sqrt(152) + 1*sqrt(152)*2 + sqrt(152) + sqrt(152))\/(sqrt(96)\/(sqrt(48)\/sqrt(4))) + ((sqrt(38)\/sqrt(2) + 2 - sqrt(19)) + -5)*-1))**2.\nAnswer: 324*sqrt(19) + 6237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:35 PM and 11:37 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24 and 4008?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 443 * -0.4.\nAnswer: -177.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53580*t + 96 = 53628*t. Let v(b) = b + 2. Let x be v(2). Solve 2*i - 2 - 4 = 2*y, 0 = -t*y + x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18*(-27)\/(-486)*((-270)\/(-65) - 4)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 - -1. Let m be (58\/(-4))\/(p\/4). Let y = m - 18. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/(5 + 3) - 3\/(-4). What is the nearest to d in 4, -1\/3, -6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -14.99 and -0.066.\nAnswer: 0.98934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + (3 - (1 - 2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 229821*x + 229523*x - 459346*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 709574948 a multiple of 5218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k - 468 = -3*r - 514, -6*k + 9 + 59 = -2*r - 3*r for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2910 - 2905. Let h(b) = -b**3 - 7*b**2 - 7*b - 6. Let s be h(-6). Solve s = f*k - 10, -5*k = t - 4*k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 240.1799862779 - 240.18. Round x to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*o - 11*o = 4. Solve 0 = -2*m + 4*t - 0*t + 10, -28 = 4*m + o*t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 9606 and 0.1547.\nAnswer: 9606.1547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the second derivative of -13*r**6\/165 + 71*r**5\/110 - 67*r**4\/33 + 100*r**3\/33 - 24*r**2\/11 + 1028*r. Suppose h(g) = 0. Calculate g.\nAnswer: 6\/13, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 2\/385183, 5, 41?\nAnswer: 2\/385183","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -170*v**2 - 2 + 170*v**2 + v**3 + 2*v**3 in the form f + x*v + t*v**2 + r*v**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 25*d**2 + 7*d + 7. Let v(q) = -14*q**2 - 4*q - 4. Let n(x) = 4*f(x) + 7*v(x). Let a(g) = -47*g - 2. Give n(a(c)).\nAnswer: 4418*c**2 + 376*c + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, i: 2, n: 3, s: 5, w: 1, h: 1}. What is prob of sequence hi?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = -3 - 5. Suppose 3*x - 163 = -2*x - j*l, 5*x - 145 = 5*l. Calculate the remainder when 123 is divided by x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the first derivative of m**8\/672 + m**7\/140 + m**6\/80 + m**5\/120 + 3*m**2\/2 - 4. Let d(n) be the second derivative of i(n). Factor d(g).\nAnswer: g**2*(g + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -39*m**3 + 6*m**2 - 33*m - 44. List the prime factors of y(-10).\nAnswer: 2, 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6602978*s**2 + 4324460*s + 708050 = 0. What is s?\nAnswer: -595\/1817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w**(-9)\/w)*w*w**(-1)*(w*w\/(w**1\/w))**16)**(14\/3))**(-34) assuming w is positive.\nAnswer: w**(-20468\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - (2 - 30) - 2) + (-33 - -24 - -5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 497*s - 496*s = 2, -2*s - 17 = 5*n. Let d(y) be the first derivative of -y**3\/3 - y**2 + 4*y - 1. Give d(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19637, -3798, -42857, -97540, -167847?\nAnswer: -253778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -11 + 8 + -31 + 9 + -3\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 1747 divide 1725408827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 48663, 97328, 145993, 194658, 243323?\n\"Answer: 48665*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**3 + 11*x**2 - 13*x + 32. Suppose 17*f + 120 = 29*f. Let r be v(f). Solve -u = r*u - 3*y, u - 5*y = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 41.85 + -1.05. Let n = r - 41. What is the biggest value in -4, n, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 7 + 0 = 0. Let c = u + 10. Suppose -s - 4*t = s + 126, c*s - t = -217. Round s to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 17753*i + 497085. Give y(-28).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.6 + -49?\nAnswer: -46.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/9 - (-1330)\/90. Let j = -21 + r. Let b(k) = 2*k**2 + 8*k - 1. What is the tens digit of b(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the third derivative of t**4\/6 + 13*t**3\/6 - t**2. Let l(v) = -v - 4. Suppose -2*s - 27 + 13 = 0. Calculate s*l(b) - 2*q(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6211656 and 2139?\nAnswer: 6211656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**2 + 4817*n - 190933. Determine f(40).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -175 + 313. Let b = c - 48. Let n = b + -48. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 0 + 0*o**3 - 2\/7*o**2 + 2\/7*o**4 - 1\/7*o**5 + 1\/7*o = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 300, 591, 882, 1173, 1464, 1755?\nAnswer: 2046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 4, b: 6, e: 2}. What is prob of sequence ebeb?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**23\/((n*(n\/(n**(-2\/85)*n))\/n)\/n) assuming n is positive.\nAnswer: n**(2038\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**3 - 2*q**2 - 3*q + 4. Let o = 10 + -8. Suppose -o - 33 = 5*c. Let m be l(c). Calculate the greatest common divisor of m and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -5, 0.6, 1, 2, 3, -33?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 5*v - 9*v = 117, 33 = 2*p + 3*v. Suppose -3*y + 9 = 0, 11 + p = s + 2*y. Calculate the lowest common multiple of 10 and s.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7652 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 96867 and 1592924?\nAnswer: 14336316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 358663 to the power of 1\/2, to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2149174 nanometers in meters?\nAnswer: 0.0000000002149174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*d**2*k**2 + 7*d**2*k - 47*d*k - 6*d - 1079*k**2 wrt k?\nAnswer: -4*d**2 - 2158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**3 - 21*n**2 + 43*n - 119. Determine m(19).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-70)\/(-28))\/(2\/500). Suppose 15*c - m = 10*c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the third derivative of -3*d**2 + 0*d + 0 - 1\/6*d**4 + 5\/6*d**3. Let m(a) = -a + 1. Suppose -9*u + 17926 = 17917. Determine u*g(b) - 5*m(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -550000 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the second derivative of -t**3\/2 + 11*t**2 - 1095*t. Determine c(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -131\/170 and 93\/850?\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 66641 is divided by 174?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49*v**2 - 1 + 56*v**2 + 1.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 3*x - 20. Suppose -4*a - 5*h = -27, -4*a + 11 = 2*h - 19. Let j be y(a). Sort -2, j, -4.\nAnswer: -4, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2\/6)\/(13\/(-6)). Let t = -311 - -311.1. Let r = -12.2 - -12. What is the closest to r in 4, t, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-9)\/(-18) + 3\/(-6))\/(-2). Put k, -32, 4 in ascending order.\nAnswer: -32, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*g, 4*g - 2*g - 8 = 2*k. Suppose 9*j - 3724 - 605 = k. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hujhbhjjbh. What is prob of picking 1 h and 2 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:49 AM and 6:26 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 14999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-32) + (-77368)\/2432 + 22.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1651 - 117 = 13*g. Suppose g*f + 7 = 125*f. Solve 2*d - f = -l, -d - 4*d = 5*l + 10 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*b**4 + 45715*b**3*y**2 - 8*b**2 + 17155*b*y**2 - 7*b*y - y**2 wrt b?\nAnswer: -24*b**2 + 274290*b*y**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.356561 millennia in months?\nAnswer: 28278.732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**3 - w**2 + w + 1. Let s(d) be the first derivative of -10 - d**4 + 4*d + 2*d + 11 - 5*d**3 + 3*d**2 + 3*d**3. Give -6*m(g) + s(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ri when two letters picked without replacement from irrm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the third derivative of 53*u**6\/120 - 5*u**3\/2 - 31*u**2. Differentiate h(w) with respect to w.\nAnswer: 159*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1a8 + -3?\nAnswer: 1a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -13.46 - -13.4599285. Round n to 6 dps.\nAnswer: -0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 + 6 = 2*w + 16 + 19 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-60)\/50*(1 - 31)\/2. Calculate the highest common divisor of j and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -3766, -3768, -3770?\n\"Answer: -2*z - 3764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkye when four letters picked without replacement from eewklwvwvkweyvk?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 less than 0.9514?\nAnswer: -2.0486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -19 divided by -81\nAnswer: 19\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-30)\/(-9)*(-36)\/(-5). Suppose 5*i = 51 + n. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15 + 8 + 0 + (9 - 9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 1 = -4*o + 3, -4*d + 4*o = 4. Suppose -d*y - 5 - 1 = 0. Let a be 0\/(3\/1) - y. Put 5, -3, a in ascending order.\nAnswer: -3, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16, -6819, -5, 0, 3 in increasing order.\nAnswer: -6819, -16, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/7?  (a) 4  (b) -0.155  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2997 - 1454. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + (6 - 4 - 4 - (-6 + 8)) + 40.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**3 + 9*x**2 + 11*x + 13. Let k be r(-7). Let u be k\/(-10) + 3 - 24\/(-10). Solve 0 = u*t - 4 + 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 5 - -1 - -1*2. Let n(i) = -i**3 + 7*i**2 + 11*i - 8. What are the prime factors of n(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -28*g**3 + 432*g**2 + 1164*g - 1584. Let u(k) = 5*k**3 - 86*k**2 - 233*k + 317. Let n(a) = 16*u(a) + 3*w(a). Determine s, given that n(s) = 0.\nAnswer: -16, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -4740.\nAnswer: -1\/948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1599 - 1599. Suppose 13 + 14 = 3*t. Let r = t - 6. Solve x = r - a for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 155153 is divided by 19307?\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*u + 65*u + 39*u)*(-2 + 2 + u).\nAnswer: 98*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 465203 (base 11) to base 7\nAnswer: 6165242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 228*q - 11*q**2 - 228*q.\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**2 + 2*n - 65. Let g be c(15). Let d = g + 262. Solve 5*t = t - 5*p, 0 = 5*t - d*p for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 178870147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -25 - 20. Let r be 34\/10 - (-6)\/(-15). Suppose 0 = 2*p - 2*k - 16, -4*k - 3 = -r*k. What is the least common multiple of p and h?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 minutes after 11:55 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (11 + -10)\/(0 + 2\/238). Let y = u + -101. Let z(q) = -q**3 + 7*q**2 - 7*q + 9. What is the smallest common multiple of y and z(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0965 + 306.\nAnswer: 306.0965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-1 + 7 + -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, 2\/7, 0.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -121, -242, -363, -484?\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6972937.\nAnswer: 2347, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 276*p + 834. Let u be n(-3). Suppose 4*o + 5*d = 35 + 2, 0 = 2*o - 4*d + 14. Suppose -o*l = -6*l. Put u, -3, 4, l in descending order.\nAnswer: u, 4, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 minus -1.963976?\nAnswer: 1.563976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 355 minutes after 11:12 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*b = -3*b - 54 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2*(-2 - (-3 - -4)). Let q(p) = p**2 + 6*p + 9. Let c be q(-3). Let l(n) = n**2 + n + 4. Let t be l(c). Solve -5*d - t = -4*m + 10, -z = 3*d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 29464 and 6.\nAnswer: 88392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -243 + 710 - 261 - 206 + u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -115022, -115027, -115034, -115043, -115054, -115067?\nAnswer: -115082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 27*l + 15. Let b(j) be the first derivative of 7*j**2\/2 + 4*j + 2. Suppose 0 = -3*y + 5*t - 4*t + 37, 4*t = -3*y + 77. Determine y*b(r) - 4*u(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.47763 centimeters to millimeters.\nAnswer: 54.7763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -155.86 + 154. Let c = -1.859671 - n. Round c to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 5 + 0)*(3 - 1 - 4 + 3 - 1 + 0 + (-2 - 3 + 4)*(2 + 1 - 1) - 5 + 0 - 5)*(-2*w**2 + 3*w**2 - 4*w**2).\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + p - 990 = 0, -p - 2*p + 738 = 3*a. Round a to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 2*h**3 + 107*h**2 - 165*h + 28. Give v(-55).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 32911.8429 rounded to the nearest one thousand?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**8\/(x\/x**(-1\/29)) assuming x is positive.\nAnswer: x**(202\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the third derivative of 0*x**4 - 5\/6*x**3 + 0*x + x**2 + 0 + 1\/20*x**5. Differentiate k(q) wrt q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1752\/(-7) + 2*-1. Let w = -8732195 + 978033487\/112. Let b = w + r. Find the common denominator of b and -115\/42.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*i - 799 - 401. Let d be (-2)\/((-4)\/(-30))*i\/36. Suppose 94 = b - k, d + 40 = b - 5*k. What are the prime factors of b?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -6*g. Let x(w) = -39141*w. Give k(x(f)).\nAnswer: 234846*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -240823\/16 + 15057. What is the common denominator of 0 + (-1)\/(-16)*(-1340)\/(-25) and y?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1186954 by -151.\nAnswer: -1186954\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/803091 and 83\/2042814.\nAnswer: 210409842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g + 5*g - 480 = 0. Suppose 0 = 3*p + 3*f - 162, -3*f = 2*p - 5*f - g. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 34 + -22. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 98 divide 2359742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 43*n + 24*n + 7*n - 146*n to the form o + f*n and give f.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -103 - -109. Sort v, -5, 1 in ascending order.\nAnswer: -5, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -2*c + 2. Let u(o) = o. Let f(t) = i(t) + u(t). Let m be f(2). Suppose m = -2*n + 3*n. Solve 0*g - 3*g - 12 = n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jvn when three letters picked without replacement from gnjgrgvgntgjgg.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {x: 3, b: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rfl when three letters picked without replacement from {k: 1, r: 1, f: 1, s: 1, l: 1, v: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 69, 113, 145, 159, 149, 109, 33, -85?\n\"Answer: -a**3 + 51*a + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*d**3 - 53*d**3 + d**3)*(-3*d + 3*d - 2*d).\nAnswer: 88*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 75\/88016 and -57\/656.\nAnswer: 3608656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v**3 - 3*v**3 + 0*v**3)*(-1 + 0 + 2 - 6 + 0 + 4 - 3 + 2 + 3 - 2 + 0 + 1 + (2 - 1 - 3)*(2 + 1 - 1) - 7 - 1 + 4 - 3 + 1 + 4).\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -109*l - 5*k = -114*l - 20, -k - 20 = 5*l. Let d = 0.01 - 0.19. Which is the third smallest value?  (a) d  (b) l  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.2 - -0.3. Let i be 6*((-11)\/(-132) + 2\/120). What is the nearest to n in i, 0.2, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 6185503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5 + 1 + b + 2 + (-3*b + 3*b - b)*(-10 + 13 + 15).\nAnswer: -17*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 80, 32.\nAnswer: 3, 32, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 + 3*36870\/18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 352*j - 21. Let n be 3*1*(1 + (-18)\/27). What is the units digit of l(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/28 in 0, -17, -5, -6\/7, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = w - 33, -w - 3 = l + 3*w. Let d be 2\/(-3) - 3\/l. Let h(z) = 1164*z**2 - 3*z - 2. Is h(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 157.3 - -2327?\nAnswer: 2484.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x - 7. Let d be n(6). Let i(q) = 10*q**2 - 1. Give i(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 376791 divided by 4.\nAnswer: 376791\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -3 - 0.4612174136\nAnswer: -3.4612174136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0*(4 + (-2 - 1)). Suppose 4*n = -i + 7, -3*n + 4 = 2*i - u*n. Let t be (-28)\/44 - (-4)\/(-11). Let a(f) = 3. Let o(r) = -r. Determine i*o(d) + t*a(d).\nAnswer: d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*(-2)\/2*(-360)\/72?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*y + 14*y - 39 = 0. Suppose 0 = -2*o - 3*o - 190. Calculate the remainder when -1 - (1 + -2) - o is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8062385 rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from loouuczuzou. Give prob of sequence ouzo.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 410194 to the nearest integer?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(2\/7)\/u*u*u**(-1\/4)*(u\/(u*(u*u\/(u\/u**7))\/u))\/u**(-3) assuming u is positive.\nAnswer: u**(-111\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of 20025 and 0.07.\nAnswer: 1401.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1167.0000692 + -1167. What is x rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 - -14) + -6 + (2 - -13) + (-82 - -72)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 374 divide 11073937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d - 5*d = -w + 11, -5*d + 115 = 5*w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1989 a factor of 59866911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5\/3, -3, 16, 1\/15?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the first derivative of 114 - 1\/5*c**5 + 12*c**2 - 6*c**4 + 1\/3*c**3 + 0*c. Let w(p) = 0. Calculate p.\nAnswer: -24, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -719\/4 - -180. Let a = 0.09 + -0.09. What is the second smallest value in 1\/3, t, a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t = 21*g - 22*g - 4, t - 1 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-12)\/14)\/((-9)\/(-63)). Let m(i) = -7*i**2 - i - 1. Let k(w) = 13*w**2 + 2*w + 2. Let t(z) = p*k(z) - 11*m(z). What is t(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 270986 (base 11) to base 4.\nAnswer: 1213330230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + -2 + ((-221)\/6630 - (-599)\/(-30)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 2*i + 4*a - 9 = 0, 4*i + 8 = 3*a. Let x be i\/(-2)*(-232)\/(-4). Let d = -2907\/20 + x. What is the common denominator of d and -3\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n + 0*r - 5 = -5*r, 3*n - 38*r = 3142 - 3271 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(3\/19)*o*o*o\/o**(-15\/7))\/(o**(-1\/6)\/o*(o\/o**(16\/3))\/o))**(3\/28) assuming o is positive.\nAnswer: o**(9417\/7448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -12914 divided by 16148\nAnswer: -587\/734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 25456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z, 1 p, and 2 k when four letters picked without replacement from kzzppkppz.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19, 234, -3, -1\/4, 2\/3 in descending order.\nAnswer: 234, 2\/3, -1\/4, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 2 v when three letters picked without replacement from huchvhyvhvyccc.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (-30)\/(-3) + (0 - 1) and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q*(q\/q**(-7\/3))\/q)\/(q**(1\/2)\/q))\/(q**(-1\/4)\/q)**(-28\/5))**15 assuming q is positive.\nAnswer: q**(-95\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 26740577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -38100, -35052, -32004, -28956, -25908, -22860?\nAnswer: -19812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1188380908 to the nearest integer?\nAnswer: 1059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.2, 11\/12, -18, 0.1, 5, 2\/13?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k\/k**5*k*k)\/(((k*k**5)\/k)\/k))**(6\/19) assuming k is positive.\nAnswer: k**(-30\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8305948\/696)\/(-371) + 14\/12?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/855 and -37\/270.\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*a + 79 + 90 = -21*a for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*s - 79 + 43. Let p be 9\/s*(-3 - -1). Let u = 0.3 + -0.1. Which is the second biggest value?  (a) u  (b) 4\/3  (c) p  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 60 + -58. Let j(p) = 3*p**2 + 2*p - 3. Give j(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h**3 + 20*h**2 + 32*h - 12. Let z be i(21). Suppose 2*g - z = 71. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -3*o**2 - 3. Let u(y) = 4*y. What is t(u(a))?\nAnswer: -48*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 12 + -8. Suppose -5*h - 4 = -4*h - 2*z, -r = 3*h - 2*z. Suppose -5*s + 0*s + 10 = h. Solve -x + s = x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.08 * 32169\nAnswer: 2573.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 196*o**2 - 124*o**3 - 196*o**2 + (-2*o - 4 + 4)*(-4*o + o**2 + 4*o) - 563*o**2 + 563*o**2 + 55*o**3.\nAnswer: -71*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 12444977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 8*y - 39 + 18*y**3 - 47*y**3 + 7*y.\nAnswer: -29*y**3 - y - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -4*b**2 + 0*b**2 - 3*b**2 - b + 6*b**2. Suppose 12*q = 24*q - 60. Let j(y) = -4*y**2 - 2*y + 3*y**2 - 6*y - q*y + 7*y. Give -j(v) + 6*l(v).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4928 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -90113200 or -90113197?\nAnswer: -90113197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 40 + 69. Let k = o - 102. Calculate the remainder when k is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1036687 - 4583313 = -2*z. Round z to the nearest one hundred thousand.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/4, 4\/3, -1\/3, 14?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -44, -192, -448, -812, -1284?\n\"Answer: -54*k**2 + 14*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**2 + 933*m + 36757. Determine p(-39).\nAnswer: -1151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -8018*g + 39052. Determine a(5).\nAnswer: -1038","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 2382, 4, 103, -3, -10 in decreasing order.\nAnswer: 2382, 103, 4, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 5*i. Suppose 0 = -4*n - n, -4*n = 5*m - 10. Let f(d) = -39*d**2 + 124*d**2 - 33*d**m. Determine o(f(q)).\nAnswer: 260*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(8\/2))\/((-250)\/(-6000))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*r = 7*r - 48 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2248 by 1.\nAnswer: 2248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 63*o + 451. Let c be j(-7). What is the highest common factor of c and 530?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 159 = 126*l - 179*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 + 2. Let x = 1\/78 - -23\/78. Is n equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*b*g**2*r + 3*b*g**2 + 18089*b*g + b - 60*g**2*r - 2*g**2 + 3343*r wrt r?\nAnswer: -2*b*g**2 - 60*g**2 + 3343","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:07 PM and 7:51 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -74c9 + -1b?\nAnswer: -7506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c**2 + 4*c + 7. Let o = -233 - -357. Let z be o\/4 + (-2 - -1). Suppose 0*n = 5*n - z. Give p(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.326 + 0.104. Let j = 62.38590125 + -61.9559. Let q = j - s. What is q rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 992552957?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 42 = -12. Suppose y = 3*y + r. Let f be (-2)\/(-10) + 13\/(-15). Put y, f, 4 in decreasing order.\nAnswer: 4, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 145117169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 - 11) + (24*1)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 8*l + 40. Let f be s(-13). Let z = f - -61. Let k(x) = -x**3 - 5*x**2 - 2*x + 2. Give k(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 81 - -3?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**3 + 10*z**2 + 11*z - 2. Let j be h(11). Let f be -16*((-21)\/j - 3). Let d = f + 220. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -2*r - 66. Let a be s(-27). Let k = -4 + 2. What are the prime factors of k*2 + (-2 - a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2401 + 2432. Let v be (-46 + 1)*2\/2. Let q = s + v. Put q, -4, 5 in decreasing order.\nAnswer: 5, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 + 3*n + n)*(n**2 + 2*n**2 - 9*n**2).\nAnswer: -24*n**3 - 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.29 - -0.11. Let u(j) = -j**2 + 6*j - 8. Let n be u(6). Let r be n\/(-40)*9\/3. What is the fourth biggest value in v, -4, r, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0 + (-2 + 20 - 3). What is the lowest common multiple of -2 - (5 + -4 - 27) and i\/20*-2*(-10)\/1?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -83?  (a) 3\/7  (b) -1\/3  (c) -1  (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o + 4*o = -4*q + 1324, -3*o = q - 985. Suppose o = -5*i + 952. Suppose -5*k + 25 = -i. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6*(-20)\/(-18) + (-4)\/6. Let u be (-4)\/6 + (-2)\/(w\/7). Let v be (-5 + 305)*(-1790)\/u. What is v rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 4*z**2 + 24*z - 14. Give k(-9).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3 - (-2)\/4*140\/(-21). Put o, -4, 1\/7, -5 in increasing order.\nAnswer: -5, -4, o, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15\/2*(-242)\/(-363).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -813 + 812. Suppose 30 = -2*b - 78. What is the third smallest value in j, -2, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -195*v + 163*v - 416 = 0 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-5)\/(125\/(-3))*5. Which is the nearest to 0?  (a) -0.2  (b) r  (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 69 divide 436195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 258*w - 461 + 227 + 235 - 756*w as k + n*w and give n.\nAnswer: -498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 147 and 9835623.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 98 divided by 98.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -5\/15174 and -53\/15384?\nAnswer: 38906136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u = -16*n + 17*n - 1, 5*u - 5 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**3\/5 - 678*a**2\/5 - 4944*a + 6195656\/5.\nAnswer: -2*(a - 73)*(a + 206)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -190*s + 157482 = 824*s + 1005*s for s.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -31*o + 5 + 23*o - o**2 + 8. Let u be x(-9). Is 7 a factor of (-520)\/(-12) - 4 - u\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 26 - 24. Find the common denominator of i*((-69)\/(-18))\/1 and (-2)\/(-7) - 2140\/(-56).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77)*-3*-2)\/(sqrt(132)\/(sqrt(60)\/sqrt(5))) + 0.\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (198\/(-495))\/((-7)\/5)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -102 (base 7) in base 13?\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -4  (b) -0.2  (c) 2\/3833  (d) 3  (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 57*q - 54*q - 375. Let c be (-5)\/(-10) + q\/(-10). Let z be (c\/3)\/(3*(-4)\/1770000). What is z rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -6*d - 5. What is the tens digit of g(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/984 and 18\/66461?\nAnswer: 1595064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than or equal to -45\/1648619?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10285 - 110*c**3 + 3511*c**2 - 10285 + 21*c**3 wrt c?\nAnswer: -534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -164 divided by 18\nAnswer: -82\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.6 + -0.2. Suppose -68 + 119 = 17*t. What is the closest to t in u, 5, -0.05?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zmzgmg. What is prob of picking 2 z?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.0884 and 0.397?\nAnswer: 0.4854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s, 2 b, and 1 k when four letters picked without replacement from {h: 5, b: 5, s: 1, a: 2, k: 3}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -6 + 23 + (4 + -24 - -12)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 2*c = 9. Let n(x) = x**3 + x**2 + 3. Let h be n(0). Suppose -4*s + 2*f - 5*f = 23, 8 = -s - h*f. Sort 5, s, c.\nAnswer: s, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 398.184 + -0.4.\nAnswer: 397.784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w - 2*w = 0, -2*a - 216*w + 334946 = -220*w. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/(-100))\/(21\/105)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**3 - 10*i**2 - 22*i - 13. Calculate p(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 9*x - 2. Let q(i) = -19*i + 5. Let v(k) = -13*d(k) - 6*q(k). Let c be v(-3). What is the tens digit of ((-130)\/(-4))\/c*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*y - 4*i - 7310 = 6*y, -3*y - 4*i = -7270. Suppose -2*n = 2*a - 0*a - 992, -5*a = -5*n - y. List the prime factors of a.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1308618570 - 106*x - 1308618570.\nAnswer: -106*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the first derivative of -5*i**4\/2 - 355*i**3\/9 - 170*i**2 + 60*i + 75. Solve a(l) = 0 for l.\nAnswer: -6, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - l = 4*l + 25, -4 = 4*j + 4*l. Find the second derivative of 6*g**5 + 5*g**j - g - 4*g**2 - g**2 wrt g.\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -3\/136090 and 41\/1212.\nAnswer: 82470540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/936 - (-941008)\/(-334035)?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, d: 9}. What is prob of sequence hdhd?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a centimeter in millimeters?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -61*f + 12. Let w be j(-6). Let l be (w\/24)\/7 - (-2)\/(-8). Suppose -l*d - 5*r - 13 = 0, 0*d - 5*r = d + 9. Put -8, -2, d in decreasing order.\nAnswer: -2, d, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 255261 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is (-17)\/(495\/(-1863) - 4\/(-18)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - d = 0, -8 - 22 = -5*v + 5*d. Let z be 4\/(-12) - v\/(-3). Let a = z + 3. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -919*s**2 - 4*s**3 + 1782*s**2 - 863*s**2.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, -3\/2, -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 8849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m**3 - m**3 - 4*m**3)*(8*m - m - 2*m) - 15*m - 7*m**4 + 15*m.\nAnswer: -17*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the second derivative of -r**6\/720 + r**5\/40 - r**4\/12 + 3*r. Let f(k) be the third derivative of y(k). Determine f(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 56 - -2856560939\nAnswer: 2856560995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1841611.\nAnswer: 139, 13249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(3\/4)*n)\/n**(5\/4))\/(n**2\/n)**(1\/13) assuming n is positive.\nAnswer: n**(11\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 70768 and 22185768?\nAnswer: 44371536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(63) - sqrt(1008) - sqrt(63))*2)**2*-5.\nAnswer: 20160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:32 AM and 8:26 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, l: 10, m: 2}. Give prob of picking 1 m and 1 v.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -51.994 + -0.006. Let w = -52 - s. Which is the nearest to w?  (a) -5  (b) -0.7  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9+13894399131437\nAnswer: 13894399131446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/7  (b) 5  (c) 55  (d) 1  (e) 0.5  (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44971 is divided by 485?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -23560, -34641, -45722, -56803, -67884?\n\"Answer: -11081*y - 12479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 10.6  (b) 595  (c) 7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1793.2 - -1793. Which is the nearest to f?  (a) 4  (b) -0.3  (c) 85  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) -1  (c) -74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -11 - (-14 + 9 + -5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 44*f**2. Let m(z) be the first derivative of 2*z**3\/3 - 1098. What is m(s(n))?\nAnswer: 3872*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lokpoogkllppnog. What is prob of picking 4 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -50006, -100013, -150020?\nAnswer: -200027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 13824 and 8496384?\nAnswer: 152934912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 1 + 5 = d, -2*b = -2*d + 20. Suppose 5*f - 39 = -2*v - 19, 5*v = -3*f + 31. Suppose v*z - d*z = -12. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**2\/7 - 56124*w\/7 - 393737922\/7.\nAnswer: -2*(w + 14031)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 2*t + 2. Let u(c) = 2*c - 8. Let i be u(6). Let z(g) = 3*g + 1. Let b(f) = i*n(f) - 3*z(f). Is b(0) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -111232002222 - 132?\nAnswer: -111232003020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -290000 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = -5*u + k + 4, -4*u + k = 24. Let m(q) = -q**3 - 3*q**2 - 2. Let y(o) = 2*o**3 + 5*o**2 + 3. Calculate u*m(n) - 3*y(n).\nAnswer: -n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10 - 29\/3. Let h be (2\/1)\/(4\/(-28)*7). Let y = -4.7 + 5. Which is the smallest value?  (a) y  (b) i  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (15 + 0 - 0 - 0) + 97 + -102\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-558 - -593 - (0 - -9)) + -2 + -1?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 35610551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1010?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -18.429143 to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 180443469 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (580\/15)\/((-724)\/(-18)). Let d = -1475186587 + 35779175455067\/24254. Let i = f + d. What is the common denominator of i and -43\/6?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes after 12:22 AM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wgw when three letters picked without replacement from wgwgggg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 i when two letters picked without replacement from {e: 4, i: 7, k: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that i**2 - 108741758*i + 2956192483232641 = 0.\nAnswer: 54370879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(-12) + ((-1096)\/(-48) - 6). What is the second derivative of 23*g + 40*g**2 - 197*g**2 + 263*g - 23*g - o*g wrt g?\nAnswer: -314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 16*l. Let q(a) be the third derivative of -a**5\/60 + a**3\/3 + 10*a**2. Let z(p) be the first derivative of q(p). What is z(j(s))?\nAnswer: -32*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2 + 1)*(2 - 1). Let b(p) = 2*p**2 - 55*p - 292. Let t be b(41). Let n(d) = -2*d + 800 - 3*d - t + a*d. What is n(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 848109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k - 4 = 4*y, 110*y - 4 = 114*y + 2*k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13447*h**3 + 13445*h**3 - 2179*h**2 + 2190*h**2.\nAnswer: -2*h**3 + 11*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/12)\/(26\/(8112\/(-273))).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 175767345?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + sqrt(1539) - sqrt(1539))*2 + sqrt(1539) + sqrt(1539))**2.\nAnswer: 216*sqrt(19) + 6192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1460 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -44 and -1791440.728?\nAnswer: 1791396.728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1757\/(-7)*1\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 271 minutes before 11:10 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 120 - -110111?\nAnswer: 111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the first derivative of -3*o**6\/40 - o**4\/12 - o**3\/6 - 2*o**2 - 17. Let r(b) be the second derivative of p(b). Give r(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 7  (b) 5.393  (c) 16\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 104*w - 107*w - x = -17737, x = 3*w - 17735. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.818607 to 3 dps.\nAnswer: 0.819","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -12849.\nAnswer: 1\/4283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -0.32 times -1.1\nAnswer: 0.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -129.78 rounded to zero decimal places?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 485106 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 407045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64013.\nAnswer: 64013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -22*j**2 - 14*j - 7. Let b(r) = 12*r**2 + 8*r + 4. Let z(p) = 7*b(p) + 4*g(p). Let t(x) = -28*x**2. What is z(t(a))?\nAnswer: -3136*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15 + 2 + 16 + 8 - -50 - (0 + 9).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4.9962 * -10236\nAnswer: -51141.1032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-540)\/(-315) - -2*1\/7. Solve 0 = -3*s - 2*z - 2 - j, -5*s - 24 = -z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3264 + -3209. What is the lowest common multiple of 594 and l?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -10 - 3486*k + 1 + 3485*k + 5. Suppose 0 = -4*s - s - 15. Give r(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3573504726.727 plus -6.4?\nAnswer: -3573504733.127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h**3 + 83*h**2 - 669*h + 222. Let d be f(74). Find s, given that d + 3\/2*s**2 - 117\/2*s = 0.\nAnswer: 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y + 5*t - 10, -5*y - 3*t - 60 = -0*t. Let j = -11 - y. What is the units digit of j\/8*12*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, d: 1}. What is prob of sequence dd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -956 - 4952 = 963*s + 11849 - 423 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let 68*d**4\/7 + 2120*d**3\/7 - 6428*d**2\/7 + 3424*d\/7 + 816\/7 = 0. Calculate d.\nAnswer: -34, -3\/17, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -554*b**2*u**3 + 49*b**2*u**2 + 3*b**2 - 1005*b*u**3 + 969*u**3 wrt b?\nAnswer: -1108*u**3 + 98*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 288048 and 1412.\nAnswer: 288048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 838109 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -5*l + 197, -21 = -3*l + 5*c + 84. Let z = 29 + -21. Calculate the highest common divisor of l and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*b - 11*b = -152 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = 8, -4*q + s + 233 = q. Let w = q - -6. Let m = 54 + w. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -127.7 * -0.0791.\nAnswer: 10.10107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 1 + 8*i - i + 3*i + 4*i + (1 - 1 - 2)*(2*i - i - 2*i) - 2 + 2 - 7*i + 2*i + 0*i + i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 27, -3, -130 in descending order.\nAnswer: 27, 0.1, -3, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 996561?\nAnswer: 3, 110729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5*r**4 + 162*r**2 - 276*r - 2.\nAnswer: -60*r**2 + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 141 - 2?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -2120 (base 3) in base 5?\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 23.969, -5, 1\/2.\nAnswer: -5, 1\/2, 23.969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the first derivative of -96*m**5\/5 - 9*m**4 - m**3 + 24. What is x in d(x) = 0?\nAnswer: -1\/4, -1\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in seven quarters of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 388450, 1553777, 3495986, 6215077?\n\"Answer: 388441*o**2 + 4*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-12)*(-860)\/(-258).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(12)*4 + sqrt(3) + 4*((sqrt(3) - ((-3*sqrt(3))**2 + sqrt(3) + sqrt(3))) + sqrt(3)).\nAnswer: -108 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 2*t + 0 + (-5*t + 3*t - 14*t)*(-1 + 2 + 1) + t - 3*t - 2 + 3 as v + c*t and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the first derivative of 4*z**5\/5 + 6*z**4 + 16*z**3 + 16*z**2 + 93. Let i(a) = 0. Calculate a.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5906933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:36 AM and 2:03 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.5?  (a) 1  (b) -1547  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -88*f - 16. Let h be i(-7). Let k be (-1)\/(-4) + (-230)\/h. Put 4, k, -4 in decreasing order.\nAnswer: 4, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 91\/2 - 1\/6*s**2 + 44\/3*s = 0.\nAnswer: -3, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8953 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*u - 2*u + 3*h - 13 = 0, 5*h - 19 = -4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11 - 7. Suppose -4*p + 707 = 5*l, 0*p - 582 = -x*l + 5*p. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9.5 + 8.5. Let f = 19 + -9. Is f less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -473 - 567 = -5*z. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-39 - 23*h - 50 + 87)*(0*h - 4*h + 3*h) + (h - 2*h - h)*(-4*h + 3*h + 13*h) as z*h + w*h**2 + n and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes after 7:06 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.2, 2, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 3*j + c, 2*c + 3*c - 5 = -j. Suppose -2*k + j*l - 8 = 0, -l = 3*k - 10 - 12. Let m(v) = v - 5. What is m(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o = -2903*j + 2908*j - 40, 0 = o - 2*j + 16 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1*-2 + -2 - -2. Let o be (2\/(-3))\/(x\/3). Let c be (-44)\/(-117) + 4\/(-18). Which is smaller: o or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*w + 87 = -53. What is the greatest common factor of w and 1420?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -811\/2 - -403. Which is the nearest to 0.43?  (a) f  (b) -2  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(4\/15)\/(z**16\/z))\/(z**(-1\/3))**(-28))**(-2\/17) assuming z is positive.\nAnswer: z**(722\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Is 2877091 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.09 and -2254810818620?\nAnswer: 2254810818620.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1545097157*-0.1.\nAnswer: 154509715.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 33561, 33569, 33581, 33597?\n\"Answer: 2*q**2 + 2*q + 33557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.05 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 288979, 1155930, 2600843, 4623718, 7224555, 10403354?\n\"Answer: 288981*q**2 + 8*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1907 = 3*d - 5*v - 3244, 5*v = -2*d + 3459. What is the lowest common multiple of d and 7?\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -23 + -27431.\nAnswer: -27454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -153296037 or -153296036?\nAnswer: -153296036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6.99 + -0.01. What is the third smallest value in h, 0.3, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - -3 - (1 + 9 + -6 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 583*p**2 - 42*p - 6. What are the prime factors of h(-2)?\nAnswer: 2, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -10*m**2 + 227*m - 12532. Let h(y) = 3*y**2 - y - 4. Let s(d) = -3*h(d) - j(d). Factor s(b).\nAnswer: (b - 112)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 4*j**2 - 3*j - 1. Let h = 27 + -29. Calculate the remainder when 3\/6*4 - -80 is divided by f(h).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 811073 - -362875. Let s = 1932949 - b. Suppose 2*m = -r - 258999 + s, -5*m = 3*r - 1250006. What is m rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 129\/110 and 74\/8018427?\nAnswer: 882026970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 12243831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 845517.73 from 88.\nAnswer: -845429.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -11*w**5 + 306*w**4 - 989*w**3 - 498*w**2 + 1000*w + 192 = 0.\nAnswer: -1, -2\/11, 1, 4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 1386050 to the nearest one thousand.\nAnswer: 1386000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -1 - 3*m**2 - 2*m + 6*m + m**2. Determine u(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 13, u: 6}. Give prob of picking 1 u and 2 w.\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 - 5 = -7*z. Let m = -2780\/3 - -919. What is the common denominator of (1\/z + 0)*(-4)\/14 and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-21))\/((-67)\/((-1072)\/(-32))).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k = 2*z + 8, 144*z - 136*z + 11 = -3*k + 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -937 and 7381.\nAnswer: -6915997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m + 4065*y = 4061*y + 8, -m + 2*y = 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-52 + 2 - (-434 + 403)) + 9 + 98.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -52667 + 53751.65. What is h rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -97*s + 30 = -102*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -18 - -55\/3. What is the second biggest value in 0.3, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 - -5. Let m be (-28)\/(-10) - ((-16)\/(-10))\/2. Suppose 9 = m*v - 2*r - 13, -v = 3*r - 31. Calculate the smallest common multiple of v and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 747 or -193?\nAnswer: 747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 27328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**2 + 3*d - 7. Let m be v(-5). Suppose -3*u + m = -3. Suppose -2*n + u = -24. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 680 minutes after 4:37 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1646247563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 109, -13, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 38833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -9 and 567375?\nAnswer: -5106375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 7672, 7690, 7708, 7726, 7744, 7762?\n\"Answer: 18*v + 7654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {v: 15, h: 4}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -2*o**3 + o**2 - o - 1. Let u be 18\/(-45) + (-6)\/10. Let h be z(u). Solve h*t + 8 = 5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z**5\/9 + 34*z**4\/9 - 937*z**3\/9 - 34*z**2\/9 + 104*z = 0. Calculate z.\nAnswer: -52, -1, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 49 - 18 + 1379*k - 1377*k. Let i be a(-11). Solve 0 = -3*f - 0*f + i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + 7 + -25 - -4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 65594280?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 6176 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand r**2 - 5*r**2 + 5*r**2 + (-7 + 7 + 31*r**2)*(4 - 1 - 1).\nAnswer: 63*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1.3, 0.3, 0.869, -0.2?\nAnswer: 0.869","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -27.376 or 5227?\nAnswer: 5227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 3, q: 13, y: 3}. What is prob of sequence pyyy?\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*r**2 - 7*r**2 + 86*r**2 + 1572*r**3 - 42*r**2 - 18*r**2.\nAnswer: 1572*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 998 - -3?\nAnswer: 9a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 214 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 17803 - 142417\/8. Let w(k) be the second derivative of 0 - 1\/4*k**3 - 31*k + 0*k**2 - 5\/8*k**6 - f*k**4 - 39\/32*k**5. Find z, given that w(z) = 0.\nAnswer: -1\/2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 59*m - 323. What are the prime factors of p(30)?\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttgc when four letters picked without replacement from {i: 1, c: 5, t: 7, g: 3, e: 2}.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(-3 + -6*sqrt(1584)*2*-2 + (sqrt(1584) - -1*sqrt(1584)) + 4 + -1*1*sqrt(1584) + 5))**2.\nAnswer: 32400*sqrt(11) + 8910324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -20106 - -21238.9. Round j to the nearest ten.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -7739, -2\/21, -77?\nAnswer: -7739","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) -0.11  (b) -4  (c) -2\/5  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2120 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 37292711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 406 + -402. Let v = -14 - -13. Which is the closest to v?  (a) d  (b) 0.2  (c) -2\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -87810.2 rounded to the nearest 100?\nAnswer: -87800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-1\/32)\/a**(-40)*a**(1\/12)*a**(-23) assuming a is positive.\nAnswer: a**(1637\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the second derivative of f**5\/20 - 7*f**4\/12 - 7*f**3\/6 - 2*f**2 - 8*f. Let i be k(8). Solve -y + i*z + 13 = 0, -5*z + 0*z - 32 = 4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*k + 0*k = -24. Suppose k*l - 93 = 93. Suppose 17 = -u + l. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -44 + (42 - 38) + 16.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x*x\/(x*(x*x**(-6))\/x)*x)\/(x*x**(-4))*x\/(x*x**(-3\/7))*x**(-2\/33)*x assuming x is positive.\nAnswer: x**(3088\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -23434057 (base 8) to base 3.\nAnswer: -100122102210221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2672042*s**5 - 3*s**2 - 1080?\nAnswer: -160322520*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1160 = 13*h - 595. Let v(f) = 870*f + 135. Let c(b) = -13*b - 2. What is h*c(x) + 2*v(x)?\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 228 = j, -s - 3*s + 921 = j. Let y = s - 120. Let f = y - -20. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 23610 and 790?\nAnswer: 1865190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put together 181207494970852 and -0.4.\nAnswer: 181207494970851.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -40526a0 (base 11) to base 8.\nAnswer: -33246103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2679, -2667, -2597, -2469, -2283?\nAnswer: -2039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 542 + 542 - 1626 + 3427*b**3 + 542.\nAnswer: 3427*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 256, 266, 282, 304, 332, 366?\n\"Answer: 3*d**2 + d + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1879756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the third derivative of p**4\/12 + 2*p**2. Let t(m) be the first derivative of 3*m**2\/2 - 6695. What is t(v(k))?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3460720 to the nearest integer?\nAnswer: 1860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1343\/(-1020) - (-1)\/15. What is the closest to -0.4 in d, -6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-36)\/20)\/(147\/(-70)))\/(-2)*(-77)\/18.\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8.961 - -9. Let m = 3.961 + p. Which is the biggest value?  (a) m  (b) -5  (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25 = 150*u - 147*u + 20*a - 60, 8*a - 30 = -2*u - 0*a for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (13267\/(-15))\/((-67)\/(-201)). Let i = v - -2644. Calculate the common denominator of (-15)\/25 - 1058\/120 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(256) + sqrt(256) + sqrt(256))\/(sqrt(32)\/(sqrt(4)*-1)) + -5*(sqrt(8) + 2)**2*-2.\nAnswer: 64*sqrt(2) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -9*l - 3*l. What is the third derivative of l*x**5 + 7*x**5 - 10*x**2 - 3*x**5 - 4*x**5 wrt x?\nAnswer: 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11376 (base 11) to base 2\nAnswer: -100000000100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - ((-24)\/(-22) + ((-8674393)\/115577 - -76)).\nAnswer: -3\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 149324911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1 - 0.6. Let j = y + -0.4. Let r = j + -0.2. Which is the third smallest value?  (a) r  (b) 0  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 50218 and 10?\nAnswer: 251090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 8523*d - 1414818. Give t(166).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -99\/1961776 and 63\/980888?\nAnswer: 1961776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 10 + 6. Let s = -8 + c. Suppose 5*h - l = s, -3*h + 5*l - 3*l = -2. Solve b - 16 = 4*q, -h*q - 2*q - 24 = -3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 63.2 - 65.2. What is the nearest to 1 in 1\/3, j, -0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000833744094 rounded to five decimal places?\nAnswer: 0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9 + 4988.\nAnswer: 4979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 661913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n. Let j(o) = 3*o**2 + 15*o + 1. Let u(y) = y**2 + 5*y. Let h(s) = 2*j(s) - 7*u(s). Let p be h(-5). What is t(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in fourty-two fifths of a century?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*h - 424 + 424.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -140*v**3\/9 + 4153*v**2\/3 + 89*v\/9.\nAnswer: -v*(v - 89)*(140*v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 47 divided by -50906\nAnswer: -47\/50906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ((-990)\/396)\/(3\/30)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6 - (-1430)\/70) + -12 + 0 + -3)*-56.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (6 + -24)\/((-3)\/(-2)). Let m(z) = 7982*z**2 + 14*z - 9. Let i be m(u). Suppose 3550769 = v - i. Round v to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 32*b - 7. Suppose 5*t = 3*t + 14. Is z(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d - 2. Let h(t) = -3*t - 8. Let y(w) = -2*h(w) + 11*r(w). Let s be 25\/3 + (-3)\/9. Let n be y(s). Round n to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 128767.\nAnswer: 128767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 11919*v**2 + 49*v - 1. What is the ten thousands digit of z(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 63941 is divided by 72.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1163751 to the nearest integer?\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 8936 - 4233. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 5*t - 8. Let l(o) = 6*o - 9. Suppose -12 = -3*x + 9. What is x*s(m) - 6*l(m)?\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that q**2\/6 - 5708*q\/3 + 22601983\/6 = 0.\nAnswer: 2549, 8867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*j - 63 + 45. Solve -6*l + 10 = -j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 2*w + 3*w - 20 = 0, 5*w = 0. Let l be 167\/x - 8\/20. Suppose 3*o = -s + l, -s = -2*o - 4*s + 15. Solve 2*j - 4*d = -2*j, -o = -j + 5*d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, d: 2, k: 1, g: 1, h: 1, p: 2}. What is prob of sequence ph?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(450) + -1*sqrt(450))*1 + sqrt(450))\/((sqrt(396)*1)\/sqrt(11)))**2.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1*(-318)\/265*10\/(-6). Put 4, p, 6, -1 in descending order.\nAnswer: 6, 4, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -32*30\/2880*16\/6\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 223748 by 1.\nAnswer: 223748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 36876*z - 36876*z + 4169*z**2 to r*z + c + w*z**2 and give w.\nAnswer: 4169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2892650, -2892650, -2892648, -2892644, -2892638?\nAnswer: -2892630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -771952 or 3?\nAnswer: -771952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4810 - -101053\/21. What is the common denominator of 30\/252*(9 - -1) and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 21 - -1010?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -214 - -187. Let a be (6\/(-27))\/(3\/o). Solve 0 = -3*g + a*q + 1, 0 = 2*g + 3*q + 21 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the third derivative of -f**6\/30 - f**5\/15 + f**4\/3 + 19*f**2. Factor r(u).\nAnswer: -4*u*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 67737684139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l**3 - 5*l**2 + l + 7. Let n be k(-5). Which is smaller: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**2 - 4*m + 8. Let k be v(6). Suppose 4*r - 2*r + k = 0. Let n = r + 14. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -204 (base 6) to base 7\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 10*l - 11*l + 6 - 4*l. Let y(s) = 14*s - 17. What is -17*i(r) - 6*y(r)?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2113449?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -17*f - 6. Let z be 37\/(-5) - (-6)\/15. List the prime factors of d(z).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from eeyyyyyeyyeeee?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 54993\/2150 - 1056\/43. What is the common denominator of x and -33\/95?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -33 - (-39 + (102 - 63))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.14006 to three decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1203 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 537 - 382. Suppose -5*a - v = -3*l, 2*a - 167 = -3*l + a. Suppose -l = -2*q - 19. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -722, -2782, -6216, -11024?\nAnswer: -17206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -295*g**2 + g + 7. Let o(q) = q**2 - 1. Let u(j) = 14*o(j) + 2*t(j). Let c be u(2). Round c to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5)\/2)\/((-115)\/230).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p**3 - p + 42. Let y be d(0). Suppose -u + 3*u = 5*v + y, 5*u - 51 = -v. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 118229, 472909, 1064043, 1891631, 2955673?\n\"Answer: 118227*k**2 - k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/3)\/((-1)\/(-4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -85*d + 35. What is the tens digit of o(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 22\/6 - 2\/(-6) - 2. Solve 14 = -g*c + 4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:25 PM and 11:39 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Are 3730 and 3732 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2496 and 16.\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -59, -73, -105, -161, -247, -369, -533?\nAnswer: -745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (75\/(-10))\/(4\/8). Let j = a + 14. Is j\/(((-28)\/492)\/7) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-504)\/(-24928)*8 + (-13)\/((-2470)\/(-40))?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bdhl when four letters picked without replacement from {l: 1, i: 6, h: 3, b: 3, d: 1, c: 6}?\nAnswer: 1\/12920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -777 + 777.5. Let g = -3.8 - -4. Which is the third biggest value?  (a) -0.4  (b) l  (c) g  (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, 19061, 5, -1, -0.3, -26, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 875755.\nAnswer: 5, 17, 10303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 45225 and 73231.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -14 - -13.46. Let l = 0.6 + n. Let y = 0.3305 - 0.1305. Is l greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -16, -37, -72, -121, -184, -261, -352?\n\"Answer: -7*j**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*a - a + 3*a)*(182*a**2 + 59*a**2 + 74*a**2).\nAnswer: -630*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -10*w + 86. Let v be s(7). Suppose -v*y = -42 - 278. Calculate the remainder when 73 is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (23 + -21)*(-1)\/(-2). Let d(v) = -3*v - 28. Let a be d(-5). Sort a, w, -4.\nAnswer: a, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 309961028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -58*v - 356. Let h(d) = -116*d - 712. Let w(o) = 4*h(o) - 9*t(o). Give w(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 2*a - 12. Let v be i(0). Suppose -n = -5*j + 89, -3*j - j + 75 = 3*n. What is the least common multiple of 153\/v*8\/(-3) and j?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5720.\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -4*i - 2. Let l be x(1). What are the prime factors of (-19 + 5)\/(l\/9)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 2, u: 1, b: 4, l: 9}. What is prob of sequence ukkb?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 396 and 14778?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of ((-13)\/(-4))\/(5\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 113 = -11*t + 201. Solve 4*c + 4*h - 4 = 0, -3*h + t - 4 = 2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 202, 721, 1586, 2797?\nAnswer: 4354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 16 - 14. Suppose o + 13*a = 15*a + 8, -2*a = -4*o + 20. Calculate the smallest common multiple of o and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and 147.457161.\nAnswer: 147.457161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*j - 12*j + 6. Solve 5*u - 5*t = 0, -j*u + 4*t + 2 + 0 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 25*q + 0*q - 2*q in the form a + t*q and give t.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 + -1000?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (253\/(-22))\/((-2)\/24).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*p - 16*p + 3*p)*(-5*p - 33 + 33 + 4*p + p - 4*p + (-2 - 1 + 1)*(-p + 1 - 1)).\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -3*u**2. Let y(a) be the second derivative of -1003*a**3\/6 - 2132*a. Give y(p(m)).\nAnswer: 3009*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 655386, 1310775, 1966164, 2621553, 3276942?\n\"Answer: 655389*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3383 - -523?\nAnswer: 38a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the third derivative of 4*q**2 + 0*q**3 + 0 + 7\/12*q**4 - 2*q. Let x(j) = -2*j**2. Give w(x(a)).\nAnswer: -28*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve z + 42 = -0*z - 3*q - 67 + 134, -4*z + 21*q - 164 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -7462265 less than 2?\nAnswer: 7462267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*b - 14*b + 0*b + 7*b - 187.\nAnswer: b - 187","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -254742, -253380, -252022, -250668, -249318, -247972, -246630?\n\"Answer: -2*w**2 + 1368*w - 256108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 13759 divided by -49?\nAnswer: -13759\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(196) + sqrt(196))\/sqrt(7) - (sqrt(252)*-1 + sqrt(28)))\/(sqrt(144) - (sqrt(144) - -5*(sqrt(144) + 2*sqrt(144)))).\nAnswer: -sqrt(7)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4814203.\nAnswer: 29, 109, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1795274 divided by 6.\nAnswer: 897637\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 62 a factor of 434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the third derivative of r**6\/600 - r**5\/100 + 2*r**3\/15 - 7*r**2. Factor v(h).\nAnswer: (h - 2)**2*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7.1 - -7. What is the closest to -2\/3 in b, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 2*s. Let l be 7 + -5 + (-5 - -5). Let u(g) = 48*g**2 - 13*g**2 + 44 - 11*g**2 - 14*g**2 - 9*g**l. What is h(u(p))?\nAnswer: 2*p**2 + 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2*d**2 + 0)*(-10916*d + 451*d - 1129*d - 15309*d).\nAnswer: 53806*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q\/q**(-1\/2))**49\/((q\/(q\/(q*q**(2\/5)))*q)\/((((q\/(q*q*q\/((q**(-2\/3)\/q)\/q*q)*q*q)*q*q)\/q)\/q)\/q)) assuming q is positive.\nAnswer: q**(3403\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from tttttptptpp?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -113310210210 (base 4) to base 12\nAnswer: -2111970","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.14 or 3.5?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7649 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(-4)*6 + 61. Suppose -25 = 2*b - 3*g - h, 3*b - 49 = -5*g. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -81 + 84. Which is smaller: 5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {a: 8, t: 5}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 289557247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 5*d, -5*q + 2*d = -3289 - 581. Calculate the greatest common factor of 16 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45479893.\nAnswer: 45479893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 129 a factor of 45306264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 169198 (base 15) in base 8?\nAnswer: 4130354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5327 + -5307. Calculate the greatest common divisor of 4610 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 46481.505 days?\nAnswer: 6640.215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 38\/783 and 22\/673329?\nAnswer: 175738869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 46593366.\nAnswer: 2, 3, 1723, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.1004 - -1.130355. Let w = y + -0.03. Round w to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*f = -2*f - 74. Which is smaller: -440 or f?\nAnswer: -440","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14.6536843 rounded to three dps?\nAnswer: -14.654","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -98 - 96 + 194 - 4269*j**2.\nAnswer: -4269*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -635*g**3 - 20309*g**2 - 37748*g + 660.\nAnswer: -(g + 2)*(g + 30)*(635*g - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 205 a factor of 3247815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = 0, -4*t + 0*t + 5*k + 100 = 0. Solve 3*x + t = -2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert a83 (base 16) to base 10.\nAnswer: 2691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8.5?  (a) -40  (b) -5  (c) -80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12298 and 3453502?\nAnswer: 1118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 117 and 489?\nAnswer: 19071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.2 - 0.2. Let y = 0 + g. Let s = -0.3 + -0.2. What is the third smallest value in y, -0.4, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2580 + 2580 + (-1 - 1 - -102)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1287 divided by 24326?\nAnswer: 1287\/24326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2466 is divided by 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*b + 1720 = 29*b + 7*b for b.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.82 - 8.9. Round h to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -6702 and -6702 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*z + 643926513 + 590273487. Round z to the nearest 1000000.\nAnswer: -73000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7a2a (base 15) to base 5\nAnswer: -1312130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 312433\/31506 + 1\/21004. Find the common denominator of n and (3\/8)\/((-12)\/(-584)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*o**2 - 153*o**3 - 4*o**2 - 149*o**3 + 304*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes before 8:20 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 4*a**2. Let j(m) = -20*m + 1. Calculate j(q(w)).\nAnswer: -80*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-9)\/(-27) - 167\/(-3). Let m be 7 - (2 - (-4 - -2)). Let z = 11 + m. Calculate the highest common divisor of z and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 22314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.016772516 to five dps.\nAnswer: 0.01677","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1412 and 296309612?\nAnswer: 1412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 6043.692 to the nearest integer.\nAnswer: 6044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3\/16 or 0.07?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 97\/57 - 3\/6. Let u = 7\/19 - r. Calculate the common denominator of u and ((-42)\/(-140))\/(6\/148).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u - 5*u = -g - 171, -2*u + 82 = 3*g. Suppose 0*c - 4*c = 0. Solve c = -4*r + 15 - u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 1 = -2*a, -2*a + 5*a = o - 11. Suppose 0 = o*w + y + 19, 3*y = 3*w + 6*y + 21. Let t = 0 - -1. Put t, w, -2 in decreasing order.\nAnswer: t, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -5*b + 789, 0*k + 3 = -3*k. What is the remainder when b is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000454958 rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -38 - -38. Solve 3*a + 3 = -3*y - 0*y, x = -5*a - 3*y - 13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49276788 plus -6522.5?\nAnswer: 49270265.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1581.62 - -1581.62063697. What is h rounded to six decimal places?\nAnswer: 0.000637","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -251741*o**6 - 270110*o**2 wrt o?\nAnswer: -30208920*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 86 - 16?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**3 + 34*b**2 - 71*b + 35. Determine p(-36).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 10\/45 + (-11)\/9. Let f(m) = -m**2 - 12*m - 1. Let d be f(-6). Let i be w\/21 - 10\/d. Is -1 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17 divided by 4\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -11914000 to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 11 + 3681*w - 25 + 14 + 212*w as c + z*w and give z.\nAnswer: 3893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/2*(-9 + 13). Suppose m + 5*y + a = 0, 0 = 3*m + m - 2*y - 14. Suppose m*t - 4*t = -79. What are the prime factors of t?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -30457, -30454, -30453, -30454, -30457?\nAnswer: -30462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/5  (b) 1  (c) 1\/4  (d) -119\/104\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -o - 24, -2*o - o - 68 = -5*u. Let g be ((-16)\/140)\/(18\/o). What is the second smallest value in g, 2, -3\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(300) + 1)*2 - ((sqrt(300)*-2 - sqrt(300)) + sqrt(300))*-5)*3 + 2)**2*-5 + 5.\nAnswer: -864315 + 19200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -2*k + 1. Let y(x) = 4*x + 52 - x - 30 - 23. Let u(q) = 4*t(q) + 5*y(q). Let a(i) = 2*i**2. Determine a(u(d)).\nAnswer: 98*d**2 - 28*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.46 - -1.9. Let i = -0.43999948 + w. What is i rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 30 = 2*b. Let m be (39575\/b)\/((-2)\/(-24)). Suppose l + 4*l - m = c, 0 = -5*c - 2*l - 475008. What is c rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 119*m - 122*m - 11124 = 0. Let n be 1630\/4*(-454)\/50. Let c = m - n. Find the common denominator of c and 39\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-31175)\/3900 - -4) + 17 + -13.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**3 + 14*x**2 + 11*x. Let s be (-6)\/(-9) + (-164)\/12. Is k(s) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -88063.9 to the nearest 1000.\nAnswer: -88000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -15.096124 to two dps.\nAnswer: -15.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**2 + 22*k - 1. Calculate c(20).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -9, 81 in decreasing order.\nAnswer: 81, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 48 + -33. Suppose -6*y + 3*y = -l. Solve -3*p = 4 + y for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, l: 1, p: 2, w: 1, v: 1, r: 1}. Give prob of sequence lswp.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 161847*p - 161847*p - 22*p**2. Let m(a) be the third derivative of -a**5\/60 + 3*a**2. Calculate u(m(c)).\nAnswer: -22*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**1*i*i\/(i**(-1\/13)*i))\/(i**(-4\/9)\/i**(-2\/7)) assuming i is positive.\nAnswer: i**(1831\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -683 divided by 211606\nAnswer: -683\/211606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 2 + 5 + (1 + 0 + 0)*(0 + 3 - 5))*(-11*r - 5*r - 24*r)*(-r**3 - 2*r**3 + 2*r**3).\nAnswer: 240*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 271 = -u, 5*z = -3*u - 69 + 342. Suppose -4*m + 2*d = -0*m - z, 4*d - 48 = -5*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - 4)*1 + 18\/(-8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9306 - 186117\/20. Calculate the common denominator of d and 163\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 93*x + 14141*x**2 + 1 - 296*x - 14126*x**2 + 0.\nAnswer: 15*x**2 - 203*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o, 1 h, and 1 n when four letters picked without replacement from {o: 2, g: 2, n: 4, h: 1}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 594 = -5*v. Let x = 162 - v. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1216) - (-2 + sqrt(1216) + -3))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**3 - 4*u**2 + 2*u + 1. Let x(r) = -5*r**3 - 16*r**2 + 9*r + 5. Let c(t) = -9*a(t) + 2*x(t). Let p = -135 + 109. Let j = p + 30. What is c(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 293 minutes before 11:44 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2\/(-3) + 0)*(-30)\/5. Suppose 2*w + 4*x = 8424, -2*w - 3*w = -p*x - 21032. Let z = w - 2438. What is z rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 66, 137, 208, 279?\nAnswer: 350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that -k**5 + 40*k**4 + 10171*k**3 + 30218*k**2 + 20088*k = 0.\nAnswer: -81, -2, -1, 0, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 - 4. Let o be 80\/(-6) - 3\/(-9). Let w = p - o. Calculate the highest common divisor of 63 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = -2*b + 2, 2*f - 18 = -4*b + f. Suppose b*w - 160 = 2*v + 3*v, 2*v - 167 = -5*w. Calculate the common denominator of -93\/22 and ((-648)\/w - -2)\/4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*r + 7*r. Suppose -3*b + 75 = 4*h, 5 + r = b. Does 15 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -197*s = 2529*s + 264*s - 32890 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*f + 391 + 341 = 0. Solve -f*d + 55*d = -30 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*w + 38*w**3 - 126*w + 46*w + 51*w + 50*w - 40*w.\nAnswer: 38*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 20707759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 329357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3537 and 1314.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -82 divided by -612?\nAnswer: 41\/306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 195550?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -32956, 5, 2, 34, -3 in descending order.\nAnswer: 34, 5, 2, -3, -32956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 + 3990\/36 - 55\/66?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 684 and 432?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10 - -5) + 1 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**3 + 12*p**2 + 30*p + 17. What is b(-9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12350, 24232, 36114, 47996, 59878?\nAnswer: 71760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*d**2*l*y**2 + 9*d**2*l - 48*d**2*y**2 + 2*d**2 - 2*d*l*y**2 - 2*d*l*y + 8*l wrt y.\nAnswer: -8*d**2*l - 96*d**2 - 4*d*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 5\/3 - 2\/(-6). Suppose u*s - 26 - 40 = 4*g, -2*g = 3*s - 67. Solve -r + 6*r = -s for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 4 = 0, -l + 26 = -4*l - p. Is 35 a factor of 70\/(3*(-2)\/l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1223 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-2\/19)\/t*t*t*t\/(((t**3*t)\/t)\/t)*t)**21*(t*t**0)\/(t\/(t\/(t\/t**(-2\/21))))*t**(-2)\/(t**(-2)\/t) assuming t is positive.\nAnswer: t**(7858\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37261201.\nAnswer: 29, 251, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11171942 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**(-5))\/l**(1\/12))**(-2\/9)\/((l**(-2)*l*(l**(1\/4)*l)\/l*l)\/((l*l*l\/l**(-1\/5))\/(((l\/(l*l\/(l*l**(-5\/6)*l*l*l*l))*l)\/l*l)\/l))) assuming l is positive.\nAnswer: l**(373\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 51787709?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 58001*y + 10. Let d(i) = i**3 + 11*i**2 + 11*i. Let l be d(-10). Let f be u(l). Round f to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = -3*y + 16, -y + 3*o + 17 = 4*y. Let f = 152 - 153. What is the closest to 2 in y, 3, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 179403447 to the nearest integer?\nAnswer: 13394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = 6*h - 95. Solve 0 - 17 = -3*r + 4*m, 3*r - h = 5*m for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q*q**1*q*q)**(-39)*q**4\/(q*q**(-5)*q))\/(q*(q**5\/q)\/q*q*q**(3\/7)*q*q)**(-1\/32) assuming q is positive.\nAnswer: q**(-10515\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 11 - (5 + 6 - -10) - (-2 - -1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.03 - -5.03. Let s = h - 7. Let y = -98 - -781\/8. Which is the closest to 0?  (a) s  (b) y  (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**2 - 7*o + 18. Let l = -19 + 37. Let g be j(l). Find the common denominator of (19\/2 - -1)\/(g\/(-40)) and -45\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 21 and ((-228)\/36 + 6)*(-126)\/2?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -35401*i + 283073. Give y(8).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6496 + -3695. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4\/19703 - 19715\/59109. Sort -1\/4, -5, -6, 0, w in increasing order.\nAnswer: -6, -5, w, -1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wwu when three letters picked without replacement from qkkwkwwucwckwcqkkcc?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3 and 140\/6 + (-2)\/(-3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.95 + -1.6. Let s = -5.5 - f. Let c = s + 6. Round c to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 681580.\nAnswer: 2, 5, 53, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 73545 and 900?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 60 and 180?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-18)\/6 + (1 - 513). Let v = 1011\/2 + p. Let i be (44\/(-8))\/(4\/8). Is v != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-2\/27))**(-2\/17)*(t**5\/t)\/t**(8\/5) assuming t is positive.\nAnswer: t**(5528\/2295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 (base 9) in base 7?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**3 + o**2 + 2*o - 1. Suppose 1 = -5*f + 36. Let q(w) = -3*w**3 + 3*w**2 + 7*w - 3. Let v(l) = f*k(l) - 2*q(l). Give v(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-18)\/18)\/((-8)\/(-2))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -504101306 and -2?\nAnswer: 1008202612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 363 and 66.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 3 + 6)*(0*s**5 - 2*s**5 + 4*s**5 + (-s**3 - 2*s**2 + 2*s**2)*(-2*s**2 + 4 - 4) + s**5 + 0*s**2 + 0*s**2 - s**4 + s**4 + s**5).\nAnswer: 24*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*b**2\/4 + 9*b - 27 = 0. Calculate b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*n**2 + 23*n**4 - 5*n**2 - 8*n - 12*n**2 - 19*n**4.\nAnswer: 4*n*(n - 2)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the second derivative of -w**3\/3 + 11*w**2\/2 - 21*w + 2. Let y = 5 - 9. Let c(u) = -u + 5. Determine y*b(o) + 9*c(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3996 + 3995 + 1232*f**3 - 399*f**3.\nAnswer: 833*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.7, 0, 1, -0.4.\nAnswer: -0.4, 0, 0.7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/6)\/(40\/(-32)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2181419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the third derivative of -m**5\/60 + 2*m**4 - 10*m**3\/3 - 22*m**2. Differentiate s(f) with respect to f.\nAnswer: -2*f + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 168101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5686, 5676, 5658, 5626, 5574?\nAnswer: 5496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 11  (b) -2\/11  (c) 4  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, o: 1, z: 6, u: 4, r: 3, e: 1}. What is prob of picking 1 z, 1 u, and 1 m?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6599 = 3*m + 944. Suppose 541*q - 546*q = -m. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.02 + 113807681035860.\nAnswer: 113807681035860.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*c**3 + 2*c**3 + 0*c**3 + (12 - 12 + 2*c**2)*(-2*c - 2*c + 6*c).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 62836 and 184?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 1011*c**3 + 7*c**2 - 42*c. Let u(i) = -337*i**3 - 2*i**2 + 12*i. Determine -6*h(w) - 21*u(w).\nAnswer: 1011*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00346094283 to 4 decimal places.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c**4 - 1713*c**3 + 8496*c**2 - 3372*c - 13584 = 0 for c.\nAnswer: -1, 2, 4, 566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 82672.27mg in micrograms?\nAnswer: 82672270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -5, 5, 41, -17, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 127 or 141?\nAnswer: 141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 335*t**4 - 338*t**4 - 287 + 46 + 2*t to h + s*t + l*t**2 + z*t**4 + a*t**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(1\/4))**(-25)*k**(-9)*((k*(k\/(k**(-1\/8)\/k))\/k*k)\/k)\/k assuming k is positive.\nAnswer: k**(-113\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 386 + 106. Calculate the common denominator of (-10)\/12*(-27)\/(-24) and y\/(-18)*(-6)\/64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6555 and 4830?\nAnswer: 91770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -7*p**3 - 4*p**2 - 4*p + 263. Let b(h) = -12*h**3 - 7*h**2 - 7*h + 526. Calculate 4*b(q) - 7*w(q).\nAnswer: q**3 + 263","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18816, 37234, 55650, 74064, 92476, 110886, 129294?\nAnswer: 147700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2023212112103 + 11?\nAnswer: 2023212112120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -71113*i**2*l*s**2 + i**2*s**2 + 456*i**2*s + 2*i**2 - 6*s**2 wrt l?\nAnswer: -71113*i**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -76 + 79. Suppose j + 155 + 22 = 2*d, 3*j - 288 = -n*d. Let f = -28 + d. What is the highest common factor of 14 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48\/312 - (-2960)\/26 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2183547 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**4)\/m*m**(1\/7)\/m*m*m**5*m*m\/(m**(-4)*m*m*m) assuming m is positive.\nAnswer: m**(85\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2114134878?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 21112003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**(-1))**(-32)*k**(3\/5)*k**4 assuming k is positive.\nAnswer: k**(-297\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 4133462 (base 7) in base 2?\nAnswer: 1111001000100000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2 + (3 + -13)\/5. Solve -4*f + f - 5*w - 10 = a, 5*f - w = -26 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 241942050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 - 3 - 5*k**3 + 20*k**3 - 3 to the form g*k + i*k**2 + m*k**3 + q and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -39 by 18.\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 1 o, 1 s, and 1 x when four letters picked without replacement from {o: 3, s: 3, x: 1, q: 1, t: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 e when two letters picked without replacement from eeeeerrrrrrrerrreee?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2131 + -943. Let f = -509 + l. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 625, 1255, 1885?\n\"Answer: 630*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 1, 367, 0, -1.2, -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 219*g**2 - g - 18*g**3 + 21*g**3 - 559*g - 157*g**2 - 240*g wrt g?\nAnswer: 18*g + 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 48, 177, 500, 1113, 2112?\n\"Answer: 16*l**3 + l**2 + 14*l + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.14 - -202.\nAnswer: 199.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 104 divide 780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/5  (b) 5.6  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -111154401105 - -5?\nAnswer: -111154401100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1800)*3)\/(sqrt(20)\/sqrt(2)*-4).\nAnswer: -9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 3472*p**2 - 3388*p**2 - 12*p - 14*p in the form n*p + r + u*p**2 and give n.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -9\/61 less than 136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*y - 3*y + 3*y + (-3 + 1 + 0)*(5*y - 4*y + y) + y - 2*y + 3*y)*(-y + 2*y - 2*y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 96\/1105 - -2\/65. Sort 2, k, -1, -1\/2.\nAnswer: -1, -1\/2, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 54.96451 decades?\nAnswer: 549.6451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1356*x**6 - 484*x**2 + 187960*x**3 - 187960*x**3 + 5 wrt x?\nAnswer: -162720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 37167 and 161577?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10320 by -10963.\nAnswer: 10320\/10963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 3*k + 2. Let p(m) = -152*m - 5. What is 3*d(h) + p(h)?\nAnswer: -143*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3669 = -4*a + h, h = -2*a + 2*h + 1833. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**2 + 32*h + 59. Let k(s) = -366*s + 11682. Let x be k(32). Calculate w(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/6*12\/232.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 584 minutes before 6:39 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 10  (b) -6  (c) -22\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*u = 4*u + 5*g + 34, -2*u - 2*g = 4. What is the units digit of u - 4*(-2 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/9 or 13.7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -9496961 take away 11?\nAnswer: -9496972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0474757 to 3 decimal places.\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 73*r = 88*r - 3846450. Round r to the nearest 10000.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 55, 188, -3312, -5 in ascending order.\nAnswer: -3312, -5, 55, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s - 4. Let h be r(-3). Let l = -135\/4 - -34. Put l, 2, h in decreasing order.\nAnswer: 2, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*i = 28*o - 17*i - 116, -15*o + 10*o - 4*i = 110 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 208517.\nAnswer: 109, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 30 + -2?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 2*n**2 + 4*n - 1. Let z(j) be the second derivative of -1\/6*j**3 + 0 + 4*j + 11\/2*j**2. Let h be z(14). Give w(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*b**2 + 13375*b - 9095970.\nAnswer: 5*(b - 562)*(b + 3237)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2\/1873 - 114217\/33714. What is the common denominator of -1 + 2 - 30\/(-28) and j?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21a7 (base 12) to base 2.\nAnswer: -111010001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 9) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.148 - 0.048. Let w = -3 - -11\/4. Which is the biggest value?  (a) -10\/3  (b) d  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -7*r + 8*r + 0*r + 3. Let d be c(9). What is the greatest common divisor of d and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -713763, -1427529, -2141299, -2855073, -3568851, -4282633?\nAnswer: -4996419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 less than 295276.67?\nAnswer: 295277.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 70\/(-14) + (1 - -29). Let d be (90\/s - 0) + 8\/(-2). Let q(x) = -x**3 - 5*x**2 + 4*x - 8. Let r be q(-6). Which is greater: r or d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -18 or -233?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -31210 - -1?\nAnswer: -31204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 76434 is divided by 72.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express ((10 - 7 + 8)*(-5*b + b + 2*b) + 2*b - 1 + 1)*(6*b - 4*b - 3*b) as c + j*b**2 + p*b and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -155.78 rounded to zero decimal places?\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 42763.7 - 42764. Sort -1\/7, -0.02, d, 5\/3 in descending order.\nAnswer: 5\/3, -0.02, -1\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**3 - 2*t**2 - 9. Calculate p(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.02, -0.4, -18, 0.5, 5?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 310 a factor of 313658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -z + 2*l - 2, 4*z = -5*l - 12. Let f(b) = 4*b**2 - 5*b**2 + 3*b**z. Let o be f(1). Sort 1, 5, o in decreasing order.\nAnswer: 5, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -505.65314 to the nearest ten.\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 3869319401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the first derivative of 20 + 14\/3*q**3 + 0*q**2 - 11*q. Find the first derivative of k(b) wrt b.\nAnswer: 28*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 278 = -0*r. Does 19 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**2 + 879*n - 15211. Determine b(17).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9 + 12. What is the remainder when 82 is divided by s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that 18*v**5 - 113*v**4 + 235*v**3 - 185*v**2 + 27*v + 18 = 0.\nAnswer: -2\/9, 1, 3\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {s: 7, n: 3, h: 5, o: 1, t: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hrh when three letters picked without replacement from rhhhhhhhrhh.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -144, -134, -106, -54, 28, 146?\nAnswer: 306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -141*y**5 - y - 28?\nAnswer: -2820*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -3*c**3 - 4*c**2 - 9*c - 10. Calculate the remainder when 3242 is divided by u(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -9045 - -9657. What is the remainder when i is divided by 96?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -59168 != -52912?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 36874384 and 9218596.\nAnswer: 36874384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10 + -5. Let r = 420 - 417.18. Let t = r - 2.7. Which is the closest to 0.1?  (a) t  (b) m  (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 8\/5  (b) 8\/3  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 p when two letters picked without replacement from {p: 5, c: 5, e: 3}.\nAnswer: 25\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 76  (b) -4\/7  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14740*w - 6 + 8 - 14*w**2 + 14740*w.\nAnswer: -14*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53736729?\nAnswer: 3, 397, 45119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 89*z - 16. Is y(10) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 5, x: 11}. What is prob of picking 2 x and 2 e?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/4)\/(-3)*(-20)\/(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -150011*g + 11. Let d be h(1). What is d rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/3*0\/49. Let w(r) be the first derivative of l*r + 4*r**2 + 3 - 4\/3*r**3. What is the second derivative of w(s) wrt s?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - -2 - (8 - 10) - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*k + 12 = -38*k, 5*i - 13*k = 22 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 3 + 1 = 0. Let i be 5 - 0*(-1)\/f. What is the common denominator of -91\/4 and 646\/(-40) + 2\/i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**3 + 16*w**2 + 16*w + 18. Let h be j(-15). Suppose 6 - h = -3*c. Is c >= -5\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a + 11. Let p(v) = -2*v + 12. Let w(s) = 2*p(s) - 3*z(s). Suppose -60 = -4*f - 24. What is the smallest common multiple of f and w(-13)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((k**(1\/2))**23)**21)**(-5\/4))**(7\/8) assuming k is positive.\nAnswer: k**(-16905\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - 45\/(-24))*(0 + 6)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3452 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = q - 32, -28*q + 32*q + 4*d - 48 = 0. Solve 4*w - q = -3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(-8) + (5\/(-28) - -1). What is x in -2\/7*x**3 + 6\/7*x**2 - 6\/7*x**4 + 0 - 2\/7*x + g*x**5 = 0?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m**3 - 3*m**2 + 6*m + 4. Let p be a(-4). Let t(b) = b**2 - 26*b - 35. Let x be t(27). Is 2 a factor of 1 - x - p\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*u = -53*u + 768. What is the remainder when u is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/(7 - 3 - 3). Differentiate p + 13 + 1 - 3 - 4*s**3 wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -256*z - 96*z + 292*z.\nAnswer: -60*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*u**2 - 22*u + 23*u + u**2 + 3*u**2 + u**3 - 36*u**4 in the form l*u**4 + h*u + w*u**2 + k + f*u**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iiff when four letters picked without replacement from {f: 2, i: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 3210.365ug?\nAnswer: 0.000003210365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ml when two letters picked without replacement from dmjlxmmm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1188, -1201, -1222, -1251, -1288, -1333?\n\"Answer: -4*x**2 - x - 1183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 26783?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 796 is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i - 3*k - 63 = 0, -2*k - 522 = -5*i - 632 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -306303 (base 16) to base 2.\nAnswer: -1100000110001100000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 20.8 + -8.8. Let i = 11 - w. Which is the second smallest value?  (a) i  (b) 0.02  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58835 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7\/(-14))\/(3\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -84*a**3 + 45*a**3 - 13 - 4*a - 11*a**2 + 40*a**3 + 5*a. What is w(11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3038.4828 microseconds in days?\nAnswer: 0.000000035167625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6118)\/152)\/((-49)\/(-56)) + 8.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the second derivative of 2*u**7\/21 + 13*u**6\/15 + 23*u**5\/10 + 11*u**4\/6 - 5*u**3\/3 - 4*u**2 - 278*u. What is w in z(w) = 0?\nAnswer: -4, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0011090563 rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 16 and 2492090?\nAnswer: 19936720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -n - 3*n**2 - 36 + n**3 - 9 + 34*n**4 - 89*n**4 + 28*n**4 + 26*n**4 to r*n**3 + d*n**2 + t*n**4 + b + z*n and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the first derivative of w**4\/4 - w**3 - 2*w**2 + 5*w + 1. Let n be l(4). What is the third derivative of -3*a**2 + 2*a**2 + a**n - 6*a**5 wrt a?\nAnswer: -300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**3 - 6*t**2 + 8*t + 1. Let f be c(4). What is the remainder when 35 is divided by 24\/f - (4 - 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.0428 - 0.4472. Let u = 0.29 + t. Let r be (-12)\/99*6\/(-4). Which is the biggest value?  (a) r  (b) u  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -6*v**3 - 2*v**2 + 4. Let x be d(-2). What is the greatest common factor of 11 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -20 + (0 - 8 - (13 + -10) - -2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 2 - (-16 - (0 + 19 + -3 - 26))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + r - 19 = 0, 4*p - 23 = -r - 7. Let k(z) be the second derivative of 0*z**p + 0 - 1\/4*z**4 + 3*z + 0*z**2. Let o(v) = -v**2. Determine k(o(c)).\nAnswer: -3*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1576971?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h = -2*u, 0*h + 2*h = -39*u + 38*u - 2*h for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 5, -2, -560, 2 in decreasing order.\nAnswer: 5, 2, -2, -4, -560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 22045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4847, 19336, 43471, 77252, 120679, 173752, 236471?\nAnswer: 308836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 44*m**2 - 37605508*m + 37605464.\nAnswer: 4*(m - 1)*(11*m - 9401366)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (12\/(-36))\/((-2)\/12). Let j(k) = 52*k**l - 22*k**2 - 33*k**2. Let i(a) = -6*a. Give j(i(w)).\nAnswer: -108*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/16 of a week in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1 - 4\/(8\/(-14)). Let d(b) = 3*b**2 - 3*b + 6. Let l be d(v). Suppose -7*x + l = x. What is the remainder when 47 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the first derivative of s**7\/840 - s**6\/120 + s**5\/120 + s**4\/12 + s**3 + 2. Let z(a) be the third derivative of q(a). Does 11 divide z(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-56)\/(-6) - 5 - 3\/9. Suppose a*u = 0, -57 - 13 = -t - 4*u. Is t a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 96*v + 1574 + 383 = 37 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Are 210639 and 210638 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4198 - 502114.\nAnswer: -506312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**2 + 5*d - 2. Let i be s(-1). Let w(q) be the second derivative of -q**4\/12 - q**3\/3 - 7*q**2\/2 + 13*q. Determine w(i).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 51482 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*w + 51*w - 51 = -5*s, 2*w = 2*s + 16 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-9)\/6*16\/(-12). Suppose -j - 6 = j. Let z(o) = 2*o**2 + 5*o + 2. Let l be z(j). Solve 0 = l*g - w*y - 31, -4*y - 3 = -3*y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-9)\/(-164)*212\/(-17808). Is 1 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 140\/1575*495\/(-6)?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do -10006 and -10021 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 416141\/18 - 23125. Calculate the common denominator of 57\/10 and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-6\/5))\/d**(-2)*(d**18\/d)\/(d*d*d**(3\/11)\/d*d) assuming d is positive.\nAnswer: d**(909\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 167 a factor of 29927057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1074791730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11266\/3 - -3668. Let t = q - -87. What is the third smallest value in t, 3, -3\/7, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 325705 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that 7\/3*b**4 + 4\/3*b - 4*b**2 + 0 - 3*b**3 = 0.\nAnswer: -1, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10.8 times -7?\nAnswer: 75.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**3 + 10*z**2 + 11*z + 3. Let f be b(-9). Let k = 27 + f. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6\/53, 2\/3, -1\/21 in descending order.\nAnswer: 2\/3, 6\/53, -1\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2607*l**3 - 2793*l**3 + 5498*l**3.\nAnswer: 98*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 19 + -17.9. Let f = -1.26 + z. Let k = 0.24 - f. Which is the second biggest value?  (a) -7  (b) -2\/3  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3625 and 23780?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -74632*h**4 + 2354*h**3 + h**2 - 158324666*h wrt h.\nAnswer: -1791168*h + 14124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*a + 5*m = -7*a - 2352, -5*a + 4*m = -5914. Let y = a - 770. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*l = -60 + 10. Let z be -33*l\/(-15) + (-8)\/(-2). Sort 2\/3, -4, 0.1, z.\nAnswer: z, -4, 0.1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3\/5 or -0.077654799?\nAnswer: -0.077654799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 1863 + 1194 + t - 11087 - 2395 in the form o + y*t and give o.\nAnswer: -10425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2375 - -2383. Which is greater: -0.69 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:17 PM and 3:42 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**2 + 10*f - 4. Let d be 5\/(-1) + (-156)\/(-13). Calculate k(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 209459754?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1007, 1020, 1035, 1052?\nAnswer: 1071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 3, r: 3, n: 1, c: 4, z: 6, q: 1}. What is prob of picking 1 n and 1 c?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 260\/23  (b) -2  (c) -1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 2*a - 2. Let b be v(0). Let i be 6*(-2)\/(1 + -3). Let w be 48\/9 + b\/i. Put w, 4, -3 in ascending order.\nAnswer: -3, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3193214 - -1?\nAnswer: -3193213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 58974 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -45*y**3 + 274*y**2 - 41*y + 91. Give g(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.16 + -4.84. What is the closest to 0 in g, -2\/5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x**2 - 36*x - 44. Give i(37).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -694277, -694277, -694269, -694253, -694229, -694197?\nAnswer: -694157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3 - (9 - 15 - -4). Let x be (-2)\/(-6)*36\/48. Put q, x, 43 in descending order.\nAnswer: 43, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -9*w - 51. Determine q(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 32 = -0*n + 4*l, 5*l = n - 8. Let t be -3 - ((-222)\/n - -1). Let r = t + -24. Sort r, -0.1, 3 in descending order.\nAnswer: 3, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 2*x**2 - 33*x + 13. Let f(z) = -z**2 + 17*z - 7. Let s(a) = -7*f(a) - 4*w(a). Is s(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 3*g + 5*a - 18, -36 = -4*g + a. Let c be ((-2)\/4)\/(1\/(-4)). Suppose c*w + 3*w - 16 = -o, -g = -2*w - 3*o. Solve 0 = 5*x - 2*x - w for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1436 a factor of 5275084252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/8*(-288)\/63*(-56)\/(-48)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7\/12 + -1\/4. Let g(s) = s**3 - 2*s**2 + 2*s - 1. Let z be g(2). Let y = z - 3. Is j < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 5, -5, 20 in decreasing order.\nAnswer: 20, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 2*h. Let s(v) = -28*v - 3. Let j(l) = 1625*l + 175. Let z(k) = -3*j(k) - 175*s(k). What is z(t(w))?\nAnswer: 50*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 919 is divided by 84.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p, 1 d, and 1 e when four letters picked without replacement from {e: 1, g: 8, p: 2, q: 5, d: 1, m: 3}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 16604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/72 and 43\/90?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 696318 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 29*b + 2577. Determine f(-89).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 2341835 (base 9) to base 16\nAnswer: 1357e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 13 - 222. Let d = j - -352. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -2*l + 1. Let z(t) = -t + 3. Let b be z(2). Let f(p) = 2*p. Let v be f(b). Let j be (-24)\/(-16) + (-5)\/v. Give r(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 38810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 520 + -515. Let z(i) = i + 1. Let d be z(1). Let f = -1.5 + 1.51. Which is the biggest value?  (a) d  (b) f  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -j**5 + 11*j**4 + 209*j**3 + 689*j**2 + 800*j + 308 = 0. Calculate j.\nAnswer: -7, -2, -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80 = 4*i + 5*t, 4*t + 19 = 3. Suppose -4*l - 17*k - 22 = -12*k, -4*l + 3*k - 38 = 0. What is the least common multiple of 2 and 2 - l*i\/(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 210, 1, -5, -38 in ascending order.\nAnswer: -38, -5, 1, 5, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -37, -2 in descending order.\nAnswer: 3, -2, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 - -4. Let x be (2 - 9\/2)*-2. Suppose -d + 16 = x*y, -3*d - 4 = -3*y + h*y. Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**3 + 9*v**2 + 11*v - 12. Let u be b(10). Let w = -3 - u. Let i = 7 - w. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11 - (-2 + 11)) + -1 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.24, -0.3, -0.034, -53.22, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (3480\/6090)\/((-6)\/(-651))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 902 - 900. Suppose -6*p = -4*g - 4*p, 0 = 2*g - 2*p. What is the third derivative of 0*n**4 + 0*n**4 + 5*n**6 + g*n**4 - 5*n**s wrt n?\nAnswer: 600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-3 + 5 + (sqrt(300)\/(sqrt(5)*1) + sqrt(60) + sqrt(60))\/((sqrt(84) + sqrt(84) + sqrt(84) + (sqrt(84) - sqrt(84)*2) - sqrt(84))\/sqrt(7))) + -2.\nAnswer: -12*sqrt(5) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8294 - 13986 - 15190 = 437*f + 8852 for f.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -15211637*r**3 - 2*r + 70044 wrt r?\nAnswer: -91269822*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 20\/155*5*-1. Let j = 1187\/62 + m. Calculate the common denominator of j and 1*-75*10\/(-36).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*t + u + 3*u - 4, t = 3*u + 7. Let z = -39 - -61. Which is the second biggest value?  (a) 1\/7  (b) z  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38757?\nAnswer: 3, 12919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the third derivative of u**7\/70 + 11*u**6\/720 + u**5\/6 + 13*u**2. Let g(i) be the third derivative of w(i). Is g(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 643697495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-26)\/5*(5040\/(-273))\/5?\nAnswer: 96\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 6, t: 8, x: 3}. What is prob of sequence etx?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 38 + 62*a + 12 + 25. Let n(u) = -21*u - 25. Let o(i) = -2*l(i) - 7*n(i). Differentiate o(h) with respect to h.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/5)\/((-315)\/(-1050))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 plus -300.9438?\nAnswer: -295.9438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 194*f + 132*f + 5801 - 33837 for f.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*u + 2*u + 75*u**3 - 11*u to t*u + o*u**3 + w + b*u**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the second derivative of 103*z**6\/720 + 17*z**4\/4 + 22*z. Let l(v) be the third derivative of w(v). Let c(b) = 2*b**2. What is c(l(n))?\nAnswer: 21218*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 + -443666?\nAnswer: -443669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k. Let n(o) = -14*o - 2. Give -n(q) + 5*s(q).\nAnswer: 19*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y**2 - 3*y**2 + 4*y**2)*(0 + 4 + 0) - 2*y - 2*y**2 + 2*y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2  (b) -1  (c) -0.058  (d) -3  (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the first derivative of c**7\/840 + 11*c**5\/120 - 6*c**3 + 9. Let b(s) be the third derivative of k(s). What is the second derivative of b(w) wrt w?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 4*s**2 + 1 - 2*s**4 - s**3 + 0 - 3*s**2. Let w = 62 - 63. Let t(d) = -d**3 - d**2 + 1. Let l(q) = w*t(q) + y(q). What is k in l(k) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -124354 + 62235 + 37*k**3 + 62119.\nAnswer: 37*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.31938 litres to millilitres.\nAnswer: 8319.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 89994.47mm?\nAnswer: 8999.447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 43343 + 444?\nAnswer: 44120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 283*c. Let s(y) = 5*y - 65. Give s(b(l)).\nAnswer: 1415*l - 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2187 and 72.\nAnswer: 17496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -0*d + 3*d. Suppose 2*n - d*y = -8, -4 + 2 = 3*n - y. Let b(i) = 2*i. What is the units digit of b(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (9 - (-250119)\/36)\/(4\/16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = -35 + 11. What is the units digit of 1 + 27 + (c - -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*i = 19382 - 52324. What are the prime factors of i?\nAnswer: 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 229 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 67*j**2 + 4082*j - 118. Calculate n(-61).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56 is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 278450 and 55690.\nAnswer: 278450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.96 + 0.04. Let b = j - 0.7. Sort 5, -2\/3, b.\nAnswer: -2\/3, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7138724\/5 less than 1427746?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 3, q: 2, f: 1, z: 3, r: 1, b: 2}. What is prob of sequence flz?\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.356819709 to four dps.\nAnswer: 0.3568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 23792570 divided by 2\nAnswer: 11896285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.8 - 1. Let v = g + -0.8000024. Round v to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -445, -1789, -4029, -7165?\n\"Answer: -448*l**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n + 9. Suppose -3*b + 0*v + 37 = -2*v, 3*v = -4*b + 38. Let h be w(b). Is -2\/9 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9)\/((-90)\/(-4)))\/((-2688)\/(-560)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve r = -16925 + 16905 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -18*s - 29*s + 46*s. Let b(p) = p**2. Calculate b(j(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 0.3966  (b) 2  (c) 227.8  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g*g**(-16))\/(g**2\/g) assuming g is positive.\nAnswer: g**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 206*d*x**2 + 2*d + 26*x**2 + 20*x wrt d?\nAnswer: 206*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**3 + 5*w**2 + 8*w - 9. Let m be x(6). Suppose m = 11*u - 12*u. Sort 6, u, -1 in increasing order.\nAnswer: u, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2553000 to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 70943?\nAnswer: 61, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2517 + -2520. Which is the third smallest value?  (a) 1\/6  (b) -10\/17  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -462 - -727. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 109 = 3*i, 5*l - 3*i - 34 - 57 = 0. Let r = -9 + 13. Calculate the greatest common divisor of r and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 13\/((-1)\/(-5)*1). Let t be (1 - 0) + 11\/((-88)\/(-200)). What is the greatest common divisor of t and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5375141789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (6\/(-7))\/((-4)\/(-28)). Let v be (2 - (-14)\/q)*-2. Which is the biggest value?  (a) v  (b) 5  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, 3\/4, -0.3, -0.0147 in descending order.\nAnswer: 3\/4, -0.0147, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -0.05, -0.142 in decreasing order.\nAnswer: -0.05, -0.142, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 127864605?\nAnswer: 3, 5, 11, 709, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2541 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11013 - 10973. Calculate the greatest common factor of l and 5580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 171 is divided by 41.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 198, 784, 1706, 2964, 4558?\nAnswer: 6488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that s**5\/3 + 2243*s**4\/3 + 482074*s**3 + 211337380*s**2\/3 + 8866837400*s\/3 + 2885648000 = 0.\nAnswer: -1030, -102, -80, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:06 PM and 4:52 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + 18 = -22*a - 23*a + 50*a, 0 = -r - 6*a + 4 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -5 - -3 - 0 - -6. Let u be (5 - 2)\/((-27)\/2). Which is the second biggest value?  (a) u  (b) 0  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the first derivative of -2*i**5\/5 - 291*i**4\/4 - i**2\/2 + 143*i - 204. Find the second derivative of a(v) wrt v.\nAnswer: -24*v**2 - 1746*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 368211539 to the nearest integer?\nAnswer: 19189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-24 - 7 + 13)*(3*o + 8*o + o) to p*o + r and give p.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7351959?\nAnswer: 3, 271, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2139 - 3553 = -2579*k + 2045 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a - 11 = -4*a - 3*k, 2*a + 5*k + 5 = 0. Calculate the remainder when 24 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -2*s**3 + 6*s**2 - 8*s - 2. Let m(c) = 3*c**2 + c - 1. Let x be m(-1). Let v(a) = -a**2 - 1. Let o(h) = x*w(h) - 2*v(h). Solve o(y) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 23  (b) 9  (c) 463  (d) 1  (e) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the first derivative of j**7\/70 + j**3\/3 - 3*j**2\/2 + 3. Let o(z) be the second derivative of k(z). Find the first derivative of o(s) wrt s.\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1068*-0.269982.\nAnswer: -288.340776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*44.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 9*p + 11948 = 6*p, -5*v + 2*p = -11947. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.5*557.598.\nAnswer: -1393.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 44964\/(-12490)*15\/2\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -5*n + 31 - 4, 5 = -5*h + 3*n. Let a(q) = -96 - q**h + 159 - q**3 - 62 + 5*q. Calculate a(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-16)*-2)\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -132 divided by -66.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 279\/(-12)*-46 - 51\/34. Suppose 18*d - u - 354 = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 times -0.61?\nAnswer: 1.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*x + 0 + 1\/7*x**2 - 1\/7*x**3.\nAnswer: -x**2*(x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that -16*j**4\/7 - 180*j**3\/7 + 1444*j**2\/7 - 2076*j\/7 - 612\/7 = 0.\nAnswer: -17, -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/330)\/((-188)\/(-470))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3907538?\nAnswer: 2, 61, 32029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/47?  (a) -5  (b) 1\/2  (c) 1.7  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 2366*x - 9*x**2 - 11*x**2 + 37*x**2 - 7*x**2 - 8*x**2.\nAnswer: 2*x**2 + 2366*x + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 69, -1\/2, -0.3, -1, 2 in ascending order.\nAnswer: -1, -1\/2, -0.3, 2, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 7*g + 12. Does 32 divide k(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -976*z**5 - 8*z**4 + 6376*z**2 wrt z.\nAnswer: -58560*z**2 - 192*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-21)\/(-28) - (-3)\/(-4). Suppose p = -o - 4*o - 30. Let r(h) = h**2 + 4*h - 1. What is the units digit of r(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -3*k + 6. Suppose 5*g - k = 3*g. Let t = 160 - 145. Solve 2*x - t = -g*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 110648 is divided by 35?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0\/((-265)\/(-106)*(-8)\/5). Solve 3*u + 5 = 5*f - u, m = 3*f - 4*u - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -11\/5  (b) -0.4  (c) -2\/11  (d) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*c**2*u - 1384*c**2*w + 3*c*u*w + 458*c*u - c*w - c - 2*w - 1 wrt w.\nAnswer: -1384*c**2 + 3*c*u - c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.08 in 3, 2, 3\/7, -41.01?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8391 is divided by 458.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5007 + -5007. Solve g = -10*d + 13 - 73 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 2*d**2\/7 + 186897280*d + 30564269112473600 = 0.\nAnswer: -327070240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -59 - -107. Let f = -45 + o. Is 1 + 18 - (f + -2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**3 - 13*l**2 - 17*l + 47. Let f be m(14). Suppose -12 = 4*t, f*p - 5*t - 17 = 13. Solve 1 + p = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 358, -182, -1626, -4424, -9026, -15882?\nAnswer: -25442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 464256.376 rounded to the nearest ten thousand?\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**2\/(o*o**(-14))*(o**8\/o)\/(o*o\/(o**16\/o)) assuming o is positive.\nAnswer: o**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 12 + 1 + 1 - 8*d - 7*d. Let z(h) = -5*h + 5. Let x(w) = -6*v(w) + 17*z(w). Give x(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, n: 1, m: 1, i: 1, j: 1}. Give prob of picking 1 i, 1 n, and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -74*l - 1. Is a(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 31976 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 7*o - 21. Let m be x(4). Let t(y) = -65*y + 53. Let j be t(m). Is 28 a factor of (-21)\/14*(-2 + j\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8.0066 + 8. What is c rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -3, 173, 3 in decreasing order.\nAnswer: 173, 3, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6696 divided by -36.\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -3*1\/3*(140\/259)\/10\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (46*(-154)\/(-1518))\/(6\/72).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o - 12. Let d be g(-16). Does 17 divide (1\/2)\/(d\/136)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -73227.2178 rounded to the nearest 10?\nAnswer: -73230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 23259940493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 71568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 100 = 2*r. Let l be (-36)\/16*(-8)\/(-3). What is the smallest common multiple of 1*r*(-3)\/l and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 3 + 0)*(-23743*o + 49042*o - 23530*o) to r + c*o and give c.\nAnswer: -3538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**2 - u - 11. Calculate o(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 126 = -2*z, 5*m - 4*m = 0. Suppose -135*v = -132*v - z. Suppose v + 11 = -2*k + 4*g, -20 = 2*k - g. Is -13 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -172855, -172535, -172183, -171793, -171359, -170875, -170335?\nAnswer: -169733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 64284 and 10714.\nAnswer: 64284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x - 2 + 2)*(384*x + 602*x - 51*x + 356*x).\nAnswer: 1291*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 3*p + 34. Let q be r(-8). Suppose -q*b - 324 = -22*b. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((sqrt(125)*2 + -5 - (-1 + sqrt(125) + -5)) + (-2 + sqrt(125))*-4*5)**2.\nAnswer: -7790*sqrt(5) + 46804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-3\/5)\/(s\/(s*s**(5\/3)\/s*s*s))*s**(4\/5)*s*s**(1\/9) assuming s is positive.\nAnswer: s**(179\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*l + 4*l + 3*l.\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 67*u**3 - 103*u**3 - 225*u**3 + 2*u**3 + 0*u**3 + 0*u**3 + (7 - 4*u - 7)*(3*u**2 - 2*u**2 + 2*u**2).\nAnswer: -271*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-300)\/2)\/(4\/(-2)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 70440 and 204?\nAnswer: 1197480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 133\/48 + 1\/16. Let k be 6\/21 - (-4059)\/1890. Let b = i - k. What is the nearest to 1 in -4, b, 1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m and 2 n when four letters picked without replacement from nnmnnmnn.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 17 + -12. Suppose -2*y + 20 = -8. Is 1*-3 - (a - y) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 39292031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 139152801661 - 139152801661 + 10*y.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(-4*(sqrt(272) - (sqrt(272) + 1 + sqrt(272) - sqrt(272) - sqrt(272))) - ((sqrt(272) - -1*sqrt(272)) + -1))*-3)**2.\nAnswer: -34560*sqrt(17) + 1413648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) 0.4  (b) 12\/11  (c) -5  (d) -72  (e) -1\/4  (f) -3\/5  (g) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*a**3 + 598 - 951 + 512.\nAnswer: -7*a**3 + 159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**3 - 22*r**2 + 1079*r + 24735. Determine u(-24).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4*j*m**2 - 2*j + 46*m**2 - 18 wrt m?\nAnswer: -8*j*m + 92*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 10*i**3. Let x be v(1). Let l = 13 - x. What is the least common multiple of 1 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j + 8 = -24*s + 22*s, -20 = s + 5*j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -33*u**2 - 25. Let y(o) = 53*o**2 + o + 38. Let x(v) = -8*h(v) - 5*y(v). Determine x(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 3\/8 of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**3 - 4*a**2 + 2*a + 1. Let t be v(3). Which is smaller: t or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-6)\/27 - 20121\/(-27) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28925 is divided by 4130?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 3*c**2 - 67*c - 13. Is o(-22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 5*u + 2*u + u. Let x be 3 + (-65)\/(-10)*-2. Let y(p) = -p. Determine x*y(o) - k(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-20)\/14 - -2)\/((-44)\/(-1694)))\/(34\/68)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 16.4 * -0.121.\nAnswer: -1.9844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -18355.3 + 19710. Let u = q - 1236. What is u rounded to zero dps?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -10*b - 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.13*-4.51.\nAnswer: -0.5863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2922 + -589. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 916927\nAnswer: -1\/916927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 98 - 48. What is the highest common divisor of 40 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11, -21, -39, -65?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -112748*d**2. Let r(t) = 881*t + 2. Determine r(i(s)).\nAnswer: -99330988*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -29608 + 6*g**2 - 13*g**2 + 5*g + 6*g**2 + 29608. Let i(s) = s + 4. Let f(z) = -1. Let u(y) = 4*f(y) + i(y). Determine t(w) - 4*u(w).\nAnswer: -w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 672 = x. Suppose 0*b = 4*b - x. Let y(q) = -9*q**2 + 149*q + 240. Calculate the lowest common multiple of b and y(18).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3 + -2 + 40 + -1.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r**3 - 3*r + 3. Let p be y(2). Let t be 8730\/50 - (-2)\/p. Let n = t - 63. What is the highest common divisor of 16 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**2 + 5*a + 6. Let i be o(-4). Find the common denominator of 19\/20 and (-6)\/i + (-146)\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1157901*g**4 + 383591*g?\nAnswer: 13894812*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 128 a factor of 56064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -12.5715994 to two decimal places.\nAnswer: -12.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 615 = -4*c, 0*c = 2*c + 3*r - 297. List the prime factors of c.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-2\/23)*h)\/h**24 assuming h is positive.\nAnswer: h**(-531\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -299*a**2 + 147*a**2 - 1 - 2*a + 8 + 154*a**2. Determine l(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 6*x**2 - 143*x - 1491. Let c(d) = 8*d**2 - 141*d - 1492. Let k(p) = 4*c(p) - 5*y(p). What is the first derivative of k(w) wrt w?\nAnswer: 4*w + 151","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8451 = -7*l + 10*l. Suppose -10*a + 13*a - l = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 3*w**2 - w. Let x be r(1). Suppose -6*c + 5*c = -x. Let m = -5 + 9. Solve m = l - 3*u, c*u + 22 = -5*l + 3*u for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -2*b - 1. Let m be p(0). Let n be (m\/((-15)\/18))\/((-8)\/(-20)). Suppose -25 = -h + y, -2*h + 4*h = n*y + 52. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1839 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 86*d - 11. Let y be 5 + (1 - (-1 + 2)). Is k(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 10 = -3*y. Let u(k) = -36 + 103 + 21*k**2 + 4*k - 39 - 32. Is u(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange v + 343 - 330 + 217 - 3*v + 981 to the form n + h*v and give n.\nAnswer: 1211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 41*l**5 - 44*l**3 - 27980*l wrt l.\nAnswer: 820*l**3 - 264*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p*p\/(p**4\/p)*p*p*p**10)\/(p\/(p\/((p\/(p*p*p\/(p\/p**(-2))))\/p))*p*p*p)**(-18))**(-4\/31) assuming p is positive.\nAnswer: p**(-264\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1 - -3)*((-4 - 0) + 5). Suppose 0 = -w*a - 115 - 53. Let m be (a\/18 - -3)*9\/2. Solve m*c + 8 = c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 0 - 3*p**2 + (5*p - 3*p + p)*(44*p + 45*p + 81*p).\nAnswer: 507*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 796 or 789?\nAnswer: 796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3 and -12434905.\nAnswer: -37304715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 13c6208 + c?\nAnswer: 13c6215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(17) + 0)**2 + (-5 + sqrt(272) + sqrt(17))**2 + (-3*(sqrt(17) + sqrt(272))*6)**2.\nAnswer: -50*sqrt(17) + 138167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.212  (b) 0.3  (c) 0  (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 691*f - 656*f + 165 + 524 + 291 = 0 for f.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -128641762, -128641759, -128641756, -128641753, -128641750?\n\"Answer: 3*p - 128641765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(1\/5)*p**16\/p)\/(p\/((p\/(p*p\/(p*p\/(p\/p**(2\/21))*p*p*p)*p))\/p*p*p)*p**3) assuming p is positive.\nAnswer: p**(1501\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.4172 + 1.418. Let u = l - 0.97. Round u to 3 dps.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*s**2 + 5*s - 5*s)*(3 + 6 - 5) + s**2 - s**2 - s**2 + (4 - 4 - s)*(s + 3*s - 5*s) + s**2 + s**2 - s**2 + 0*s - 2*s**2 + 0*s.\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -4*m**3 - m**2 + 2*m + 2. Let v be o(-2). Let h be v\/(-6) - (-28)\/7. Is h greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -200\/117 smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -2*b**3 + 4*b. Let j be z(-3). List the prime factors of 4\/j - ((-13338052)\/(-294))\/(-26).\nAnswer: 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kiiik. Give prob of picking 1 k and 1 i.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 169, 686, 1547, 2752, 4301?\nAnswer: 6194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c - 49*t + 47*t - 2 = 0, 6*c - t - 9 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -344886*a + 3. Let d be j(-6). Suppose -2*k + d + 630681 = -3*u, u = -4*k - 900000. What is u rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-14 - -2) + (-4 - (19 + -19))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 4884*p + 126970. What is k(-26)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 1.3*-6.1\nAnswer: -7.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0\/(-2))\/(6\/(-3)). Let t = -233 - -235. What is the nearest to 2\/7 in p, -3, t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.119248276 rounded to 5 decimal places?\nAnswer: 0.11925","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:17 PM and 6:35 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 4244299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the second derivative of 1\/2*p**4 + 1\/20*p**5 + 3*p**2 + p**3 - 2*p + 0. Calculate j(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1401588*b**2 + 700476*b**2 + 701114*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 24048 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: Let t be (2 + 0 + -1)*5. Let n(q) = 2*q**3 - 5*q**2 + 5*q + 5. Let m(p) = -2*p**3 + 4*p**2 - 4*p - 4. What is t*m(j) + 4*n(j)?\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1248969650 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the third derivative of g**5\/60 - 13*g**4\/24 + 8*g**2. Let d be b(13). Let v(i) = -2*i**2 + 29*i - 9. Let a be v(14). Solve -p = -d*p + a for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 368 = 4*s. Suppose -4*i = f - 55, 4*f + s = 4*i + 2*f. Which is the nearest to -1?  (a) i  (b) 5  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*k**3\/7 + 355143*k**2\/7 + 3347091*k + 386535105\/7.\nAnswer: 3*(k + 33)**2*(k + 118315)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6)\/(-27) + (-11)\/9. Let f(w) be the first derivative of 11*w**3\/3 - w - 2. What is the units digit of f(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (73841\/246)\/((-1)\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -2*x. Suppose 10 = 5*s - 4*k, 9 = 4*s - s - 3*k. Let y = 6.2 + -6. Which is the closest to y?  (a) x  (b) s  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -24, -31, -42, -57?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 187102 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -4*t**3\/3 - 244*t**2\/3 - 1280*t - 1200 = 0.\nAnswer: -30, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 85 (base 10) in base 7?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -8*i**2 - 6*i + 6. Let u(d) = -2*d - 12. Let c be u(-7). Let x(q) = 0*q - 4*q**2 + 3*q**2 + 1 + 0*q**c - q. Calculate -h(k) + 6*x(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v\/v**(1\/4)*v**(-2\/7)*(v**1)**(-26)*((v**(-1\/3))**43)**19 assuming v is positive.\nAnswer: v**(-25021\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -110, 433, 3, -73 in ascending order.\nAnswer: -110, -73, 3, 433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 5*q**3 - q**2 - 7*q + 2. Let l(w) = -2*w**3 + 3*w - 1. Let j(y) = -7*l(y) - 3*m(y). What is j(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2249 (base 10) in base 2?\nAnswer: 100011001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-2\/47)\/((v\/(v\/v**(-9)))\/v))\/(v*v**(-1\/19))**(-42) assuming v is positive.\nAnswer: v**(44424\/893)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -41\/5368 and -81\/3416?\nAnswer: 37576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 4 = -12. Put i, 2, 3 in increasing order.\nAnswer: i, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2.5 in -32\/1203, -5, 0.14, -2\/7?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3 - -19. Suppose 31 = -4*i - 13. Let r = c + i. Does 2 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 7*g**5 + 3*g**3 + 12*g - 3. Let h(a) = 20*a**5 + 8*a**3 + 35*a - 8. Let r(v) = -3*h(v) + 8*u(v). Find the second derivative of r(b) wrt b.\nAnswer: -80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the second derivative of y**3 + y**2 - 1\/2*y**4 + 0 + y. Let f(t) = t**2 - t - 1. Determine -4*f(s) - m(s).\nAnswer: 2*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/(l*l**(-1)))**23*(l**(2\/7))**(-10\/7))\/((l\/l**1)**(-21))**(-1\/89) assuming l is positive.\nAnswer: l**(1107\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.211 + -1.789. Which is the third biggest value?  (a) h  (b) 4  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1030463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -1.6 - -0.097\nAnswer: -1.503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -180.6 + 15.6. Let t = n + 164. What is the nearest to 12 in 1, t, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-164)\/(-451)*22 + (-1 - -9).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 minutes after 9:24 PM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 544831 is divided by 560.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 190 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2194997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.2  (b) -43\/5  (c) -19\/413  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - -1 - 5) + 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 31 - 46 - -26 - (41 - ((-2 - -1) + 1))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2306*b + 2321*b - 225. What is the third biggest value in b, 1, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*a - 78 + 310 = 84*a. Solve -a*s - 28*h = -25*h + 29, 2 = 2*s - 4*h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 172083*u**2 + 14008*u?\nAnswer: 344166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 12 - (10 + 5) - ((11 - 7) + -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-60)\/((-255)\/(-17)))\/(0 - -10).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 913 + -620. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 2*k + 8 = 0, 3*k = 4*l + 8 - 31. Suppose -4*p + 1668 = 4*o + 12, 5*o - l*p - 2077 = 0. List the prime factors of o.\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 124191 is divided by 2778?\nAnswer: 1959","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -5, 1\/9, -2264, 1\/6, -2\/13?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -25 or -77699?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 5 + 4)*(17*x**4 - 218*x**4 + 16*x**4) - 5*x**4 + x**4 + 2*x**4.\nAnswer: 183*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -188488 or -2073384\/11?\nAnswer: -188488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9 - -13. Let d = 4.2 - 4. What is the nearest to d in -0.4, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 699 minutes after 6:41 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -177d1 (base 15) to base 8.\nAnswer: -224365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - -66 - (595 - 498)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -1746614, -1747305, -1748008, -1748729, -1749474, -1750249, -1751060, -1751913?\n\"Answer: -o**3 - 684*o - 1745929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 189040 to the power of 1\/2, to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*f**5 + f**4 + 108*f**3 + 3*f**2 + 11*f - 13 wrt f.\nAnswer: 240*f**2 + 24*f + 648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*x**2 + 47352*x.\nAnswer: -4*x*(x - 11838)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/6, 4, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**2. Let p be 12\/20 + (-120)\/(-300). Let h(r) = -2*r**3 + 4*r**2 + 5*r + 3. Determine p*h(n) - 4*d(n).\nAnswer: -2*n**3 + 5*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f**3 + 7*f**2 - 6*f - 4. Suppose 3*o + h = -1, 5*o + 0*h + 5 = -h. What is the remainder when -15*(-1 - (o + 3)) is divided by j(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k**3 + 5*k**2 - 6*k - 6. Let l(z) = 51*z - 3*z**3 - 45*z - 6 + 4*z**3 + 7*z**2. Let v be l(-6). Calculate r(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 586 minutes after 9:36 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (-2 - 0) + (-3 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000279149 to seven dps.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -2, -7\/15, -4\/9, -0.2 in increasing order.\nAnswer: -2, -7\/15, -4\/9, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*r - 14*r + 35. Let z be (r + 11)*(-19)\/(-4)*9714. Let a = z + -1900547. Round a to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (12\/(-300))\/(4*3\/915) and 7\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12240 and 33660.\nAnswer: 134640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 2*i = -41, 2*k + 3*i + 2*i - 31 = 0. What is the remainder when (-2 + 104)\/(2 + 0\/(-3)) is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -752 + 773. Let q(t) = -t**3 + 9*t**2 + 14*t - 7. Calculate the smallest common multiple of q(10) and r.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -42*x**3 + 7*x**2 - 19*x + 8. Let h(s) = s**2 - 2*s + 1. Give -8*h(m) + i(m).\nAnswer: -42*m**3 - m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -16?  (a) 0.5  (b) 28  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1524 is divided by 220?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the third derivative of 7*w**2 - 1\/15*w**5 + 0*w**3 + 0 + 0*w + 0*w**4 - 1\/60*w**6. Find the third derivative of a(t) wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -211, -3, 3, 1, -0.3, -2\/83 in descending order.\nAnswer: 3, 1, -2\/83, -0.3, -3, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(225)\/sqrt(36) + sqrt(25) + sqrt(225)*4)\/((sqrt(1125)*1 + sqrt(1125) + sqrt(45) + sqrt(45))*1).\nAnswer: 3*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 + 3. What is the remainder when 5 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d**2 + 11178*d - 11181 = 0.\nAnswer: -3727, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 3*x + 4*f = 13, f - 2 = 0. Let d be ((-12)\/x)\/(36\/(-1530)). Calculate the greatest common factor of d and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {g: 6, x: 7, d: 1}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2526239?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 34120 greater than or equal to 34120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -1. Suppose -6 = 2*q - 0*q - 5*b, -2*b = 5*q + 15. Let g(r) be the first derivative of r**2\/2 + r - 4. Determine q*h(i) - 2*g(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25467962.\nAnswer: 2, 13, 151, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p**2 - 11*p - 10. Let w be k(12). Solve -2*u = 3*u - w*d - 35, 2*u + 3*d + 5 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 0*n = -14. Suppose -200 = -5*y + 5*t, 5*y - 4*t = -0*t + 202. Calculate the highest common divisor of y and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vv when two letters picked without replacement from yvvn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3513146 + 5?\nAnswer: -3513141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 48 and 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zdczzzcd. What is prob of sequence dccd?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 4465 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -640*t - 5388 + 8444 = -130*t - 11224 for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 1730.153 to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*w = 27*w - 30. Suppose 5*s = -4*y + 198, -y = 2*s - w*y - 66. What is the third derivative of -s*p**2 + 12*p**2 - 6*p**4 + 2*p**4 + p**4 wrt p?\nAnswer: -72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 8 = -3*n, -17 = 3*k - 5. Let h be n - (-1)\/315*358. Let y = h + 4\/63. Which is the second smallest value?  (a) -0.5  (b) y  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 26, 5, -4, -93 in increasing order.\nAnswer: -93, -5, -4, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 46 = -3*i, -3*i + 2*j + 0*j = -44. Let a = -35.3 + 32.37. Let k = 0.93 + a. Which is greater: i or k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 28\/70*5\/6. Let q = -0.09 + -1.91. What is the nearest to 0.1 in l, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 318514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*q + 3*q - q)*(-4 + 4 - 11*q**2) + (2*q - q + q)*((-2*q**2 + 5*q**2 - q**2)*(-4 - 2 + 4) + (4*q - q - 2*q)*(2*q + 0*q + 0*q)).\nAnswer: 18*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 717?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**(-2)\/d)\/d**(1\/5))**(-20))**50 assuming d is positive.\nAnswer: d**3200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*g + g + 44889. Suppose 5*p - 3463 + g = 0. Which is smaller: -114 or p?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 8*s - 10. Let i be j(3). Determine h so that 7*h**4 - 12*h**3 + 8 + 12*h**2 - 5*h**4 + 0*h**4 + i*h**2 - 24*h = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.14 from -8.58.\nAnswer: -8.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -2800?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -666456 by 2.\nAnswer: -333228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 8 = -18. Let i(q) = 2*q + 5. Let g(k) = 8*k + 21. Calculate h*g(v) + 9*i(v).\nAnswer: 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(36) - -1*sqrt(5184) - sqrt(36))\/sqrt(12) + ((sqrt(165)\/sqrt(5) + sqrt(33))*3)\/sqrt(11).\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from vddvdddddd.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 3*f - 20 = -f, -5*u + 4*f + 47 = 0. Suppose 11 = 36*s - 124 + 27. Put u, -2, s, -1 in decreasing order.\nAnswer: u, s, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 + 1. Suppose v*o = -55 + 455. Suppose -3*s = -4*a + 69, 28 + 13 = 2*a + 5*s. What is the smallest common multiple of a and o?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g - 81*l + 80*l - 14 = 0, 6*g = 31*l + 552 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.5, -1080515, -1.6?\nAnswer: -1080515","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 7557 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i = 3*h + 6, h + 4*i - 3 = -5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10 - -11. Let r = -0.4 - -0.38. Let g = r + 0.32. What is the third smallest value in n, g, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 98\/(-21) - (7 - 3). Let k = 136\/15 + q. Which is greater: k or 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -22*r - 14. Let c(m) = 8*m + 4. Let b(s) = 8*c(s) + 3*u(s). Determine b(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**2 - 7*m - 7. Suppose 2*d = -9 - 1. Let q be x(d). Suppose -11*p = 3*p + p. Solve 3*c = -4*w + 20 + 8, -q*c - 5*w + 32 = p for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8014 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1221 - 1221.0002132. Round o to six dps.\nAnswer: -0.000213","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 1. Let h(w) = -4 - 1707*w**3 - 1704*w**3 - w**2 + w**2 + 3408*w**3 + w**2. What is -h(s) - 4*i(s)?\nAnswer: 3*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 96528 divided by -24132?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 26871984 by 2985776.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7425 and 605?\nAnswer: 81675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 84150 and 220?\nAnswer: 168300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -46540532 by -2.\nAnswer: 23270266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 114274603*s**3 - 2*s**2 - 13986556*s wrt s.\nAnswer: 685647618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*p = -31*p - 61*p + 1485016. List the prime factors of p.\nAnswer: 2, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 15*h - 17*h + 18. Calculate the highest common factor of 36 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15738993?\nAnswer: 3, 1748777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -7 - (451\/(-5))\/11. Which is the closest to 1?  (a) 0  (b) g  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35150911.\nAnswer: 3329, 10559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-2\/51)*a*a\/a**(-5\/2)*(a*a**(1\/5))\/(a*(a\/a**11)\/a*a) assuming a is positive.\nAnswer: a**(7477\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 535877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 14096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(33)\/((sqrt(66) - sqrt(66)*-2)\/sqrt(6)) - sqrt(24)\/(-6*sqrt(24)\/sqrt(3)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1387 - 5*n - 2*n + 44.\nAnswer: -7*n - 1343","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3267\/45 - 4) + 4\/10. Find the common denominator of (-18)\/80 - (-2)\/(-1) and 159\/20 + (61 - h).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*n = -59*n + 5734. Put n, -3, -31 in descending order.\nAnswer: n, -3, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f**2 + 3*f - 3. Let r be a(3). Let h(i) = -i**2 + 0*i**2 + 0*i**2 + 9*i - 13*i. Let t be h(r). Which is smaller: 4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*l + 4*l - 4 = -2*j, -5*j + 5*l + 15 = 0. Let w(i) = 3*i - 6. Determine w(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-153)\/4*104\/(-39). Let l(g) = 8*g - r*g**2 + 101*g**2 - 7 + 6*g. What is the least common multiple of l(13) and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2358 - -857263.513.\nAnswer: 859621.513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvvvvvvvgvgvgvvvvvg.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:19 AM and 5:09 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + -31 - (6 - 9) - -25?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -6a - 2?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(26) + -1*sqrt(78)\/sqrt(3) - sqrt(234)\/(sqrt(9)*-1))\/(5*sqrt(100)\/sqrt(2)).\nAnswer: sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-1\/4)*g\/g**(-2\/15))\/((g*(g*g**(-1))\/g*g)\/g*g)**(2\/65) assuming g is positive.\nAnswer: g**(133\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, 10, -6 in decreasing order.\nAnswer: 10, 8, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m = 5*s + 6, -67*m + 70*m = 3*s for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 982482591 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**3 + 5*g**2 + 7*g - 3. Suppose -4*f + 30 = -4*y - 2, 5*y + 16 = f. Give t(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 0.6  (b) -1\/2  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v + 6 + 33. Suppose -139849 = -v*w + 507551. Round w to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d, 1 t, and 1 c when four letters picked without replacement from zztcccddddddcd.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.4, 2.42, 11.9, -0.05, -4?\nAnswer: 2.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-25038)\/749)\/(-117))\/((-2)\/(-203))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -17742 + 17747. Let f = -314\/5 + 63. Factor -46\/5*v**2 - u*v**4 - 12\/5*v - f - 12*v**3.\nAnswer: -(v + 1)**2*(5*v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*r = 26 - 26. Sort r, 3, 182, 2 in descending order.\nAnswer: 182, 3, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/575?  (a) 4  (b) -2\/5  (c) 77  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -13*v + 11. Let d(t) = -47*t + 88. Let g(k) = 23*k - 47. Let w(q) = -4*d(q) - 7*g(q). Calculate 13*b(a) + 6*w(a).\nAnswer: -7*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -39\/30547730 and 27\/3054773?\nAnswer: 30547730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -4*f**2 + 0 + f**3 + 0*f**2 + 2 - 5*f. Determine y(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g. Let u(r) = r**2 + 5267*r + 1. Calculate j(u(c)).\nAnswer: c**2 + 5267*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 5*g = -22, -2*r = -0*r - 5*g - 19. Let y = r - -11. Let l = y - -1. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -227 + 227. Suppose o = -3*l + 25 + 23. Calculate the least common multiple of 4 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45*f + 23*f + 10*f.\nAnswer: 78*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**3 + 5*i**2 + 15. Let t be o(-5). Solve -5*g - 5 + t = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -14.286 - -2.\nAnswer: -12.286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the first derivative of 7*x**4\/4 + 4*x**3\/3 - 2*x**2 - 11*x - 45. Let n(b) = -2*b**3 - b**2 + b + 3. What is 22*n(h) + 6*v(h)?\nAnswer: -2*h**3 + 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1038*t + 1 = 3*p + 1039*t, 2*p + 3*t = -4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 - -4. Suppose 0*u + 10 = 5*u. Let c(v) = 1 + u + 4*v - n*v. What is c(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d = -5*n + 2*d + 13, 0 = 5*n - 3*d - 17. Let v be 0\/(n\/(3\/6)). Suppose -2*x - u = -8, 3*x - 2*u = 5 - v. Solve 0 = -0*t + x*t - 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 77d69 + -156?\nAnswer: 77c13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2440010 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 271*g + 16084 - 5515 = 0 for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 11\/13 + 1 - 2. Let r = 29355 - 88063\/3. Which is the nearest to r?  (a) q  (b) -52  (c) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 15200089 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uggjlu. Give prob of sequence ljll.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 194190589 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -8549 times -0.19?\nAnswer: 1624.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 112831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -2*m**3 + 31*m**2 + 2509*m - 12. What is r(44)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11.2 - 7.2. Which is the fourth biggest value?  (a) 16\/7  (b) 3  (c) j  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = 7*g - 154. Suppose -g*i + 7*i + 42 = 0. Solve 3 = 3*h - i for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**3 - 9*i**2 + 10*i - 16. Let m be f(8). Suppose -4*s + 109 + 187 = m. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/7*h**2 - 5\/7*h**3 - h**4 - 3\/7*h**5 + 0*h + 0.\nAnswer: -h**2*(h + 1)**2*(3*h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/16 of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-5412)\/(-135) + 4\/5. Suppose -32*m**4 - b*m**3 + 2*m + 4\/9 - 22\/3*m**2 = 0. What is m?\nAnswer: -1, -1\/4, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -61 - -53. Let q be -1930002 - (o\/(-6))\/((-14)\/21). Round q to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -106\/555 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 1 = 5. Let c(d) = 2*d + 3. Give c(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -10*h**2. Let s = -13 - -9. Let u = s + 7. Let q(x) = u*x**2 - 3*x**2 + x**2. Determine l(q(j)).\nAnswer: -10*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -68 + 84. Let p = 21 - v. Suppose 4*t + 4*g = p*g - 44, 0 = 4*g - 16. Is t not equal to -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.2, 2\/3, 1\/50227, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34077061.\nAnswer: 17, 83, 24151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from {m: 1, w: 1, v: 1, b: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 518828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 832\/7 + -3321\/28. Which is the third biggest value?  (a) 30  (b) 11  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6.4 - -6.327. Let f = -0.573 - l. Let n(j) = j**3 - 6*j**2 - 8*j + 1. Let u be n(7). Is u bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*r = 10*r. Solve -3*f + 4*f - 4*y = r, -3*y = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 14 = 4*f. Let a(o) = -o**3 + 6*o - 4. Let n be a(f). Let r = -1357 + 1393. What is the greatest common divisor of n and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/7, -4\/25, -0.1, 1\/7 in decreasing order.\nAnswer: 3\/7, 1\/7, -0.1, -4\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 3, 1, -85, -8 in decreasing order.\nAnswer: 3, 1, -5, -8, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 0.2, -3, 31812?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(-11 - 1547\/(-143)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that -4*m**2\/5 - 47796*m\/5 + 9560 = 0.\nAnswer: -11950, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3\/1)\/(3\/2). Suppose -h - d + 10 = 5*a, 0 = -3*a + 4*h + 14. Let i = 20 - 5. Solve a*s - i = -3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -10720*l**4 - l**3 - 64635.\nAnswer: -42880*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.2, 6, 0, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 14*f + 111. Let o(n) = 40*n + 332. Determine -17*d(q) + 6*o(q).\nAnswer: 2*q + 105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**3 + 8*d**2 + 12*d + 6. Let g be l(7). Let j = g - 833\/6. What is the second smallest value in 2\/5, -1\/3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -2*t - 12. Let l be o(-9). Suppose -3*g + 36 = 2*j, -5*g + l = -14. Suppose -j*q - 1514 = -4838. What are the prime factors of q?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -5, 1\/6, 2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/48*(1260\/(-130) + 22 + -12).\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -14906*n + 74619. Give h(5).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2993 = 4*q + 25*k - 28*k, 0 = -2*q - k + 1489. List the prime factors of q.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1317, -3405, -5487, -7557, -9609?\nAnswer: -11637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -2021, -7946, -17819, -31640?\n\"Answer: -1974*g**2 - 3*g - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 1 - (-2 + -3 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 160, 4 in ascending order.\nAnswer: 4, 6, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**3 + v**2 - 1. Let o(l) = 11*l**3 - 5*l**2 - 5. Let m(d) = 5*g(d) + o(d). What is the derivative of m(w) wrt w?\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0 - (-2 + -1 + 1). Suppose -s - 5*l = 12, 4*s + x*l = 2*s. Let d = 0 + s. Which is greater: d or 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21008 is divided by 563.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 - (7 + -10 + -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((3283\/(-98))\/67)\/((-3)\/(-14))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/12 and -97\/1050646.\nAnswer: 6303876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 241670.\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -354\/55 >= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8218 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the third derivative of 3*i**6\/40 - i**4\/12 + i**3\/6 - 12*i**2. What is the remainder when m(2) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 24.426132 nanoseconds?\nAnswer: 0.0000000004071022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -162 divided by 6?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 2040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1.46 or 8572?\nAnswer: -1.46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**3 - 6*h**2 + 8*h - 6. Let k be c(-7). Let y = 40 + k. Suppose -2*p + p - y = 0. Round p to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -3*t**2 + 3*t - 2. Let h(w) = -2*w**2 - 1 + 8 - 1 - w - 5. Let l(i) = -i**2 - i + 1. Let d(o) = 2*h(o) - 3*l(o). Determine 2*d(n) - x(n).\nAnswer: n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -25951122*s**4 + 15603462*s.\nAnswer: -311413464*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 4*m = 1724, 10 = 5*m + 30. Let g = -1734\/5 - d. Let k = -10.7 + 11.7. Put k, g, -1\/5 in decreasing order.\nAnswer: g, k, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 172594 times 5\nAnswer: 862970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -341 = 5*y - 4*z, -279 = 3*y - 2*z - 74. Let l = y + 551\/8. Sort l, -5, 1\/2 in ascending order.\nAnswer: -5, l, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12450 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 14*v + 3. Let z = 5 - 1. Let d(p) = 5*p + 1. Let w(m) = z*y(m) - 11*d(m). Let l be 4\/10 + (-52)\/(-20). Calculate w(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10 + -6. Suppose -3*a + 4*j = a - 472, a - b*j - 109 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3170, 12774, 28724, 51020, 79662, 114650?\nAnswer: 155984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (10\/12)\/((-8)\/(-240)). Factor -23*x**2 + 52 + 7 - 20*x - 9 + a*x**2.\nAnswer: 2*(x - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**3 - 6*o**2 + 3*o + 7. Let v be j(5). Let r(y) = -y**3 - 5*y**2 - 2*y + 1. Give r(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*a + 5*a + 0*a + (2*a - 26*a - 10*a)*(-11 - 7 + 17 + 2 + 3 - 3 + (3 + 1 - 3)*(4 - 1 - 1) + 1 + 2 - 5) in the form n + h*a and give h.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0\/(-2 - (-1)\/1). Suppose m + 2*m - 39 = d. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*n - 60*n - 50*n.\nAnswer: -87*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 269523?\nAnswer: 3, 29947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-one halves of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h + 11. Let w be n(10). Let f be 1 - (0 - (2 + w)). What is the derivative of -f + t - t - 5*t**3 wrt t?\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7029450724?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 424 and 4187.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -499*f*u**3 + 2432*f*u**2 - 4*f*u + 1175*f + 5*u**3 - 71*u + 4 wrt u.\nAnswer: -2994*f*u + 4864*f + 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(10)*-4)\/sqrt(2) + -2 + sqrt(5)*1 - (sqrt(405) + sqrt(405) + 2 + -1).\nAnswer: -21*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3 - (20\/5)\/4. Suppose l = -c*l + 447. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12553127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s + 0*s + 0*s)*(0 - 11 + 6)*(-5*s**4 - 11*s - s**2 + 11*s).\nAnswer: -50*s**5 - 10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -4  (b) -3\/2  (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -16, 6, 2 in ascending order.\nAnswer: -16, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 208 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that -2*p**3\/3 - 8582*p**2\/3 - 3070210*p - 3067350 = 0.\nAnswer: -2145, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*d - 280 = -54*d - 26*d. What is the nearest to -0.1 in -0.09, -1, 1\/6, d?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.5, 2\/5, 3\/4, -38\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -2*p**3 - 1085*p**2 - 13263*p - 6946. Calculate q(-530).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ac when two letters picked without replacement from {c: 1, o: 6, n: 4, a: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 8*n - 89. Let f be b(-29). Let y be (-4)\/30 - f\/4095. Which is bigger: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 29*c + 69. Let d(r) = 355*r + 3. Calculate d(j(w)).\nAnswer: 10295*w + 24498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*i + 74 = 16*i - 46. Let n(a) be the third derivative of -1\/12*a**i - 10\/3*a**3 - 25\/24*a**4 + 21*a**2 + 0*a + 0. Factor n(h).\nAnswer: -5*(h + 1)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 16 = g + 18, 4*s - 3*g = 12. Calculate the lowest common multiple of 4602 and s.\nAnswer: 4602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.14797?  (a) 25  (b) -0.4  (c) -116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of j**2*n**5 + 2*j**2*n + 222*j*n**6 - 40*j*n**2 + 2 wrt n.\nAnswer: 60*j**2*n**2 + 26640*j*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/4 + (-6)\/8. Suppose v = 6*n - 4*n - 2. Solve 14 = -5*q - n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 351020300?\nAnswer: 2, 5, 3510203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.870363 rounded to 1 decimal place?\nAnswer: 6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 17528548969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 462 minutes after 8:38 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -61541346 (base 7) to base 9.\nAnswer: -10623613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -1931*h + 4031. Let y(q) = -11710*q + 24185. Let s(f) = 34*l(f) - 6*y(f). What is the first derivative of s(m) wrt m?\nAnswer: 4606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -109\/5200 and -95\/16.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-6)*b)\/b)\/(b**(-14)*b) assuming b is positive.\nAnswer: b**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1*sqrt(572))\/sqrt(11))\/((sqrt(88)\/sqrt(2))\/sqrt(11)))**2 + (sqrt(468))**2 + -3 + sqrt(78)\/(sqrt(18)\/sqrt(3)).\nAnswer: sqrt(13) + 478","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the second derivative of -w**4\/90 + 4*w**3\/45 - w**2\/5 - 5*w. Determine j so that n(j) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 328 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 132809, -0.4, -2\/9, 3 in decreasing order.\nAnswer: 132809, 3, -2\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58 is divided by 38?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 920a2c - -7?\nAnswer: 920a36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the first derivative of -5*v**2\/2 + 8*v - 1046. Let f(t) = -5*t + 9. Determine -5*f(r) + 6*y(r).\nAnswer: -5*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**3 + 6*f**2 + f + 7. Let s(v) = -v**3 + 3*v**2 + 5*v + 2. Let h be s(4). What is the tens digit of u(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.05 + -3.95. Let v(x) = -x**2 - 14*x + 28. Let t be v(2). Let n = -0.202 - 0.798. Which is the closest to r?  (a) n  (b) t  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, d: 1, z: 1, o: 2}. Give prob of sequence ozd.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-80)\/12 - -6)*9\/(-2). Suppose t*g + 9 = -l - 12, 3*g = 2*l + 6. Let x(n) = n**3 + 9*n**2 + 9*n. Let i(v) = 4*v**2 + 4*v. Determine l*i(p) + 4*x(p).\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -436200112 + -2?\nAnswer: -436200114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 10085027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 44\/84021 and -19\/4662?\nAnswer: 18652662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -8 + 750\/65 + -2*2. Let o be -1 + -1 + 1 + 0. Are o and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -297, -304, -311?\n\"Answer: -7*k - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 702 and 7601742?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 213166*k**4 - 2*k - 17654.\nAnswer: 2557992*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/11  (b) 13  (c) -1  (d) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) 4  (b) 1600  (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6570 and 6.\nAnswer: 6570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -34f2 (base 16) in base 4?\nAnswer: -3103302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -218251\/344844 + 40\/3193. What is the common denominator of 41\/936 and i?\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4093607 rounded to the nearest one hundred thousand?\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -7*b - 7. Let w(r) = -8*r - 6. Let i(l) = 5*o(l) - 4*w(l). Let a = 9 - 7. Let d(m) = 5*m - 2 - m + 8 - a*m. Give -7*d(t) - 4*i(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**3 + 58*b**2 + 477*b - 22. Calculate w(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 745*y**2 + 5187*y + 7. Give z(-7).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 121 - 608\/5. Suppose -5*k = -k - 12. Let t be 4\/(-21) + 1\/k. Which is the second biggest value?  (a) -0.4  (b) z  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 12\/(-78) - (-1166)\/(-26). Suppose -1 - 45 = y + 4*m, 0 = 4*m. Is c > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 1320 = -b. What is the tens digit of b\/45 + 2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1061*i**2*l**3*x + 6*i**2*x - 38*i*l**3*x + 23*i + 6*x wrt i?\nAnswer: -2122*l**3*x + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -2129450 divided by -11\nAnswer: 2129450\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -d6 - 2396?\nAnswer: -248c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 52, 55, 60, 67?\n\"Answer: y**2 + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (7 - (-1 + 5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6988446 and 1290?\nAnswer: 34942230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 990 and 2367.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:09 PM and 7:53 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes before 4:00 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 804 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -55910 divided by -11182.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 (base 9) in base 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 689 - -3358. What are the prime factors of f?\nAnswer: 3, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 877905?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 132 is divided by 36?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4039425 by -17953.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1064 - 1004. What is the remainder when 82 is divided by m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 2\/7 of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = 3*y - 36, -3*r + 173 = 5*y + 53. Solve -47*s + r*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 2*u**3 + 36*u**2 - 3*u + 2. Is 8 a factor of c(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**2 + 3*b + 2. Let g be p(3). Let t = 48 - 41. Calculate the remainder when t is divided by (g\/(-4))\/((-3)\/24).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5229*i - 19727 - 28965 = -5303*i. Let n be ((1 + -3)*-7)\/1. What is the highest common factor of n and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**3 + 83*z**2 + 637*z + 45510. Give r(-82).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/((v\/v**(1\/3))\/v*v))\/v)**48 assuming v is positive.\nAnswer: v**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i**3 - 10*i**2 + i - 4. Let s be a(10). Solve 16*z = 18*z - s for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3 + 11\/((-11)\/6). Let z be -12*6\/27*m. Suppose -4*v + z = 0, 4*x - v = -6*v + 3414. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4426 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1201400?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 6*n**2. Let m be y(-1). Let t be (-1)\/(-2) - 3\/m. Suppose t = -0*u - u + 5. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 246 by -123.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 15427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 111 - 77. Is 6 a factor of (-3)\/(-9) + s\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 0 - m**2 + 1 + 0*m**2 + m. Let o be q(-1). Let c = o + 2. Solve h - 5 = -c for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y + 5. Give t(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 6.834506ml?\nAnswer: 0.006834506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, -107, 0.4?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -10 + -1868975.\nAnswer: -1868985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-6)\/((20\/(-6))\/(-5)). Let i(l) = l**2 - 5*l + 1. Let c(h) = -4*h**2 + 20*h - 3. Let m(d) = w*i(d) - 2*c(d). What is m(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 439 is divided by 129.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/6051 or -4?\nAnswer: 2\/6051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -21  (b) -0.002  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-3 + (1*sqrt(468) - sqrt(468)) + -4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -7*u - 58. Let g be r(-4). Put -1, g, -7 in ascending order.\nAnswer: g, -7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**2 + 27*i + 601. Let q be m(49). Do q and -474 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 214749885 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -32 - -25. Let p(u) = 11*u - 4. Let b(s) = -7*s + 3. Calculate k*b(t) - 5*p(t).\nAnswer: -6*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((-2*4*sqrt(187) + sqrt(187))\/(sqrt(11) + -2*sqrt(99)\/sqrt(9)))**2.\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of g**6 - 74*g**5 + 162*g**2.\nAnswer: 120*g**3 - 4440*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5, -5, -4, -40, -16?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i - 2*i - 6*i)*(-7 + 82 + 495) + 0 + 0 - 2*i.\nAnswer: -4562*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 27406180 to the nearest integer?\nAnswer: 5235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zvzj when four letters picked without replacement from zzqqqzjjvzqvvzjv.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -31\/535 - 45383\/38520. What is the common denominator of 7\/72 and w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1996 is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 2 - 3*k + 0*k**3 - 21*k**3 - 12*k + 20*k + 2*k**2. Let n be i(-2). Calculate the highest common factor of 280 and n.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 248878.7 years?\nAnswer: 248.8787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43 = v - 69. Let q = -74 + v. Calculate the remainder when q is divided by (-6)\/(-2*(-3)\/(-20)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7223.22ug to grams.\nAnswer: 0.00722322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3037 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**2 - 10*h + 1. Let o be k(12). Suppose -4*b + o = -31. What is the remainder when b is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**3 - 2*x**2 - 2*x. Suppose 2*t - 2*k = 3 + 3, -3*t + 13 = -4*k. Let j = -1 + t. Let g(h) = h**3 - h**2 - h. Give j*m(z) + 4*g(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 148 - 72. Suppose 2*d = -2*d + v. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -42 (base 5) to base 15.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*w - 33*w - 7872 = 0. Let o = w - -295. Solve -2 = o*r - 133*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 941*w*y**3 + 482*y**3 with respect to w.\nAnswer: 941*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12199*y**2 + 11745*y**2 - 7301*y**2 + 2749*y**2.\nAnswer: 19392*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 8, a: 4, l: 2}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -21*v - 164. Calculate l(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1957, 10049, 23535, 42415, 66689, 96357, 131419?\n\"Answer: 2697*x**2 + x - 741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2189.\nAnswer: 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 30468064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7201191 is divided by 30257?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x**3\/3 + 180*x**2 - 3212*x\/3 + 1424 = 0.\nAnswer: 2, 4, 534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 31 = 49. Let w be 399\/1045 + q\/33. Which is the biggest value?  (a) 0.3  (b) 0.1  (c) w  (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -117 - -163. Calculate the remainder when 135 is divided by h.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.1  (b) 96  (c) -0.3  (d) -11  (e) 2\/41  (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6520 and 40804.\nAnswer: 66510520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.3  (b) 38\/5  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -13*n**3 - 5*n**2 + n - 2. Let v(a) = -26*a**3 - 11*a**2 + 3*a - 5. Calculate -5*j(h) + 2*v(h).\nAnswer: 13*h**3 + 3*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1978)\/(-1288) - 5\/4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 20 and 1045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -10*k**2 - 6. Let z(m) = -4*m**2 - 3. Let h(i) = 3*o(i) - 5*z(i). Let g be 3\/((-78)\/74) - 6\/39. Let d(q) = 21*q**2 + 7. Calculate g*d(f) - 7*h(f).\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 46*x - 31*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -60, -12, 82, 228, 432, 700?\nAnswer: 1038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together -3.9 and 0.95.\nAnswer: -2.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -127 divided by -48\nAnswer: 127\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**3 - 7*t**2 - 7*t - 4. Let d be o(8). Put -2, -3, d in decreasing order.\nAnswer: d, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 40856.616 minutes?\nAnswer: 28.37265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 18 = 2*r, 0 = -4*r + f + 4*f - 39. Let o(w) = -21*w + 8. Let n be o(r). Let z = -65 + n. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = -2*x - 4*b, -2*x + 22*b - 38 = 28*b for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aaeeaaaarabaaopaaaap. What is prob of picking 2 e, 1 r, and 1 a?\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -4828000 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 4204 = -5*y, 4*s - y = 3*s + 1060. Calculate the remainder when 153 is divided by s\/20 + (-44)\/55.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/10 and 11\/7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 3024 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the first derivative of m**5\/40 - m**4\/4 + 3*m**3\/4 - 17*m - 20. Let n(a) be the first derivative of j(a). Solve n(p) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 55.6 - 55.3. Put k, 0, -1\/10, 0.4 in descending order.\nAnswer: 0.4, k, 0, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 422 + 202 + 0 - 43942*a**2 + 25*a**3 + 232 + 43960*a**2 wrt a.\nAnswer: 75*a**2 + 36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1342260 is divided by 1541.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times 45873?\nAnswer: -229365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1721 + -1568. What is the remainder when c is divided by 40?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 75 + 155*g - 489 - 100*g + 78*g wrt g?\nAnswer: 133","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = 4*x + 2042*j - 2045*j, 5*j = -x - 27 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the second derivative of -o**3\/6 + 6*o**2 - o. Let i be 7 + 4\/8*-2. What is the units digit of x(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*a + 20*a + 23*a - 25 = 2*n, 54 + 1 = -5*n for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**2 - 8*i. Let f be d(-5). Suppose 6*o = o + f. Let j(t) = 4*t + 8. Let w be j(-1). Solve w*s - 4*b + 16 = -0*b, -o*s - 4*b = 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/(-105)*-5*0\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 945263?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes after 11:11 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (435\/1450)\/(27\/(-24))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -54 or -2437\/45?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2, 6, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 22 - 18. Suppose -3*u + 127 = -2*m, 2*u = 6*m - 3*m + 83. Suppose 2*g = 3*o + u, -g - x*o + 18 - 2 = 0. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -3*q - 13. Is (q + 6)*(-118)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 3688 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 759.\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that 4*g**2 + 960*g - 64900 = 0.\nAnswer: -295, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 27 = -4*q, 2*q + 2*q + 17 = s. Let i be 9\/3 - (-1 - -1). Put i, -2, q in descending order.\nAnswer: i, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -33 + -188. Let k = m - -234. Solve -8*g - 15 = -k*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 9220635 and 683010?\nAnswer: 18441270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 1910 + 128 = 0. Suppose 3127 = -3*v + 184. Let m = v + x. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 44590 and 2730.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3.272 - 5.272. Which is the closest to l?  (a) 4  (b) 1.6  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24\/32*(-8)\/(-12)*1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 2\/15, 2, 387 in decreasing order.\nAnswer: 387, 2, 0.2, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**29\/p)**(5\/4) assuming p is positive.\nAnswer: p**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -57*w - 8260. Calculate n(-145).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1553232?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -41881\/10 - -4200. Let v = 1658 - 53101\/32. What is the common denominator of v and i?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the first derivative of -209*r**7\/7 + 2*r**5\/5 + 25*r**3 + r**2\/2 - 290. What is the third derivative of m(u) wrt u?\nAnswer: -25080*u**3 + 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 3, -1, 67, 5 in descending order.\nAnswer: 67, 5, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -221257.03 to the nearest ten.\nAnswer: -221260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -80*z + 0*z - 29*z + (-16 + 16 + 5*z)*(1 + 0 - 3) in the form h + r*z and give r.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.7 + 1.9. Let x = v + 17.4. Let w = x - 17. What is the nearest to 0.1 in 0.2, -0.03, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 85430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (40\/(-75))\/((-72)\/540)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -135312*12.\nAnswer: -1623744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3790*t**5 + 4*t**4 + 3*t**3 + 1377*t**2 - 39?\nAnswer: 227400*t**2 + 96*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1363909*h**3*k**3 + 90*h**3*k - 1124*h**2*k**3 + h*k**3 - 5*h*k**2 + 2*k**3 - 18 wrt h?\nAnswer: -8183454*k**3 + 540*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1\/5)\/(8\/20). Let d = -381\/5 - -116591\/1530. Let q = -67\/306 - d. Is m smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 24 - 16. Let r(m) = -m + 24. Let p be r(v). Let x(s) = s - 32. Let u be x(p). Is u at least as big as -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the first derivative of -v**3\/3 - 12*v + 4. Let b(t) be the first derivative of -2*t**3\/3 + 1194. What is z(b(i))?\nAnswer: -4*i**4 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 123 = -0*v + 3*v, -2*v - 121 = -3*h. Suppose s = 2*y + h + 351, -s - y = -393. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 94*c - 386. Determine i(7).\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v and 1 t when four letters picked without replacement from tvvitvvvvttvitvvtvtv.\nAnswer: 77\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*h**3 + 0*h**3 + 4 - 10*h**3 - 3*h**3.\nAnswer: -18*h**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that 5*o**5 - 155*o**4 - 86435*o**3 + 173315*o**2 - 86730*o = 0.\nAnswer: -118, 0, 1, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/(-2)*30640\/5362.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*p**3 + 0*p**3 + 1756*p - 3476*p + 1749*p.\nAnswer: -2*p**3 + 29*p","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -2*((sqrt(1584) + (-1 + (sqrt(1584) - sqrt(1584)*1))**2 + 3)*-2 + -3)*-3.\nAnswer: -144*sqrt(11) - 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 1. Let w(n) = 2. Let u(b) = -t(b) + w(b). Let l(g) = g**2 + 6. Let a be 8\/(-32) - 3\/4. Calculate a*l(x) + 6*u(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3786 and 24.\nAnswer: 15144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -74\/163 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/56 and -111\/40796.\nAnswer: 81592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z + 10 + 6. Suppose 0 = 4*r + 2 - 42. Let b = z - r. What is the remainder when 22 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j - 15*j + j)*(-3 + 0 + 2)*(-5*j**2 + 2*j**2 + 2*j - 3*j**2 + (-3*j + 1 - 1)*(3*j - 3*j - j)).\nAnswer: -36*j**3 + 24*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 divided by -1586.\nAnswer: 7\/1586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 266 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -51977 minus -250789464?\nAnswer: 250737487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -0.028+-46\nAnswer: -46.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h + 3, 34 - 7 = -3*z + h. Let n = -7 - z. Let s(q) = -q + 3. Calculate s(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 198 and 528.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 762*j + 5. Let x be u(-3). Let s = x + 3590. What is the tens digit of s\/55 - (-1)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4406 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 7279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 899, 911, 923, 935, 947?\nAnswer: 959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s + 1. Let f = 5 - 0. Let d(j) = -j + 1. What is f*d(r) - 4*x(r)?\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is n in -2*n**2 + 2870*n + 182512 = 0?\nAnswer: -61, 1496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**(-2\/3))**(11\/6)\/(c*c**2*c)**(31\/2))**(2\/139))**3 assuming c is positive.\nAnswer: c**(-1138\/417)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*w - 0*w + 4*q - 196, 0 = 3*w - 3*q - 294. Let t = w - 66. What is the highest common divisor of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -14.4  (b) -4  (c) -3  (d) -2\/7  (e) 487\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0 + 2*(3\/(-3) - -2). Let i(j) be the second derivative of -2*j + 0 + 0*j**l + 11\/6*j**3. Let t(d) = -3*d. Give t(i(z)).\nAnswer: -33*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 63\/130 + 3\/26. Let n be 163695\/7440 - 13 - 8\/124 - (-4)\/64. Which is the nearest to -1?  (a) n  (b) -3\/5  (c) 1\/5  (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 77 + 25 = 0. Let c = x + -32. Calculate the lowest common multiple of c and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 711, -2, -4?\nAnswer: 711","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -251.00000472 - -251. Round p to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11 (base 2) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v = 5*q + 8, 0 = -4*v + 5*q - 9 + 18 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 2*u = 562, -7*u + 568 = 2*l - 2*u. What is the greatest common factor of l and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 94578.\nAnswer: 2, 3, 11, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 5184837, 20739329, 46663481, 82957293?\n\"Answer: 5184830*j**2 + 2*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, 0.2, -0.3, -4, 1\/10 in increasing order.\nAnswer: -4, -0.3, 1\/10, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 259052182?\nAnswer: 2, 31, 4178261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-1)\/(-3))\/(25\/(-6)). Which is the closest to -3?  (a) -0.1  (b) f  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**3 - 29*z**2 + 28*z + 5. What is g(28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -23840*s + 548306. Calculate p(23).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3509 and 1630235?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3\/(((-18)\/4)\/(-3)). Suppose n*f + f - 2*a = 37, 4*f - 16 = -4*a. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2 + -2 - 2\/(-12). Let x = 46 + -50. Let n = 5 + x. Which is smaller: v or n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 36\/697979?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4\/9235 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 449.33 - 4279\nAnswer: -3829.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64*g = 60*g + 48. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**3 + 7*a**2 + a + 6. Give c(-3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.3 from -1047186.\nAnswer: -1047186.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 0 - 486*v**2 + 95*v**2.\nAnswer: -391*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4 + -44. Let i = -29 - q. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.03925 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 24961 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = 5*j - 188, -3*j = -2*x - 7 - 85. Is x at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 345137520 and 210.\nAnswer: 345137520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2320975 and 3177?\nAnswer: 20888775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 3479871093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -68 (base 10) to base 9.\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*c - 33*c - 3*t - 141 = 0, 4*t - 215 = -5*c. Calculate the remainder when 464 is divided by c.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 3*r - 3*j + 9, -2*r + 4*j + 10 = 0. Solve 4*b - 3 = r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 2*v - 7. Suppose -5*l + 69 + 1 = 0. Suppose -17 = -4*y - 2*g - 3*g, 5*y = 2*g + 46. What is the remainder when f(l) is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((b*(b*b**(-14))\/b*b*b)\/b)\/b)\/(b**(-1\/5)*b))\/(b**(-2\/19)*b**(1\/22)))**40 assuming b is positive.\nAnswer: b**(-114868\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from ooossojosjossojosso?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:16 PM and 5:14 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 3*n + 22 = 0, 5*v + n + 20 = -4*n. Suppose 2*i - 4 = -3*p, 5 + 5 = -4*p + 5*i. Let w = p - v. Calculate the remainder when 8 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -0*b + 110. List the prime factors of (b\/(-3))\/(10\/(-15)).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 2 + 4 = k, 0 = -5*k + 2*n + 16. Let r = k + -4. Suppose -g - 1180012 = -3*g - 4*y, r = -5*g + y + 2949997. Round g to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmmmmimmiimimimmmmi. What is prob of picking 1 m and 3 i?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -42.34 - -44.34. Which is the closest to 0.05?  (a) 1\/10  (b) -0.2  (c) -3  (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 (base 13) in base 4?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -787 divided by -69732.\nAnswer: 787\/69732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*h - 5 - 66*h**4 + h**3 - 4*h**2 - 3*h**2 + 24*h**4 + 10*h**2 + 3 in the form b + v*h**4 + q*h**3 + c*h**2 + z*h and give v.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 357088*i**2 + 360954*i**2 - 718039*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 3*h - 75 = 3*v, -2*v - 50 = 2*h. Let r be 4\/20 + (-5)\/(v\/14). Sort 0, -3, -1, r in decreasing order.\nAnswer: r, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 448 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -2110 - 0.058798?\nAnswer: -2110.058798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 85 and 6335.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1564 and 952?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minus 845.07?\nAnswer: -748.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes before 4:59 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*a**2 - 8*a**2 - 6*a**2 to v + w*a**2 + z*a and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6448?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 106275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n and 2 y when four letters picked without replacement from ynyyyymnmyony.\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Is 40514173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7476*v + 2002 + 74 = 7303*v for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -1159565 + 3728*t**2 + 1159565. Let x(y) = 2*y. Determine n(x(p)).\nAnswer: 14912*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 7, 0.5, 5\/3, -1\/12 in decreasing order.\nAnswer: 7, 5\/3, 0.5, -1\/12, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 25341000 rounded to the nearest one hundred thousand?\nAnswer: 25300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3829, -7855, -11871, -15871, -19849?\nAnswer: -23799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -6*l - 33. Let x be u(-6). Suppose -x + 15 = 6*b. Solve -h + p = -4*h + 14, -b*h = -p - 11 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1668 and 172638?\nAnswer: 345276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -2460, -4124, -5790, -7458, -9128?\n\"Answer: -y**2 - 1661*y - 798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -3*m + 53, 2*r + 11 = m - 11. Let w = -6 - r. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:34 PM and 9:15 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d**4 + 741*d**3 + 3780*d**2 = 0. What is d?\nAnswer: -5, 0, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -33859, -33857, -33855, -33853?\n\"Answer: 2*d - 33861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**3 - 6*g**2 - 2*g - 1. Let b(s) = 15*s - 109. Let w be b(8). Let l(d) = -2*d**3 - 11*d**2 - 4*d - 2. Calculate w*y(o) - 6*l(o).\nAnswer: o**3 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 16714  (b) 0.3  (c) -1.634  (d) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 104 + 97 - 183 - 2*w**2.\nAnswer: -2*w**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ffzh. What is prob of picking 1 h and 2 f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaaaaaaaa. What is prob of sequence aaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 262785*q**3 - 525705*q**3 + 262799*q**3.\nAnswer: -121*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1604 (base 7) to base 16\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-80)\/(-45) + (-4)\/(-18). Let k(f) = 4*f - 3. Calculate the least common multiple of k(u) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1221577 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: Determine r, given that -2*r**3\/9 + 7634*r**2\/9 - 257372*r\/9 + 161408\/3 = 0.\nAnswer: 2, 32, 3783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3242 is divided by 497.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -604, -1206, -1808, -2410, -3012?\n\"Answer: -602*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 68\/14 + 2\/14. Suppose n*i + 182 = 822. Suppose 3*b = 64 + i. What is the smallest common multiple of b and 22?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.72082213 rounded to one dp?\nAnswer: -6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 35 - 45. What is the common denominator of 12\/(-11) + 1\/(-2) and b\/(-45) - 223\/72?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the third derivative of z**9\/252 + z**7\/7 + 7*z**5\/12 + 2*z**2 + 38. What is the third derivative of u(m) wrt m?\nAnswer: 240*m**3 + 720*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -50*y - 2644. Give f(-53).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.32 + 0.02. Let p(o) = -o**3 + 5*o**2 - 5*o + 4. Let s be p(4). Which is the closest to -1\/4?  (a) d  (b) 0.05  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u + 3*u - u - 2*u - 2*u + 2*u + (2 - 2 + 2)*(-1 + 1 + 2*u))*(3*u**2 - u + u).\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -180 = 11*n - 15. Put n, 2, -5 in descending order.\nAnswer: 2, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3540708\/11 less than or equal to 321884?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 73.24612 centimeters?\nAnswer: 732461.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 23729 or -664?\nAnswer: -664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -174*j**2 - 7*j - 8. Let y be l(-4). What are the prime factors of (y\/7)\/((-24)\/84)?\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2419\/19604 - 15\/116. Let g = h - -849\/676. What is the nearest to -3 in g, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 319411131, 319411132, 319411133?\nAnswer: 319411134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -21 - -17.6. Let g = 3 + p. Let v = -63 + 58. What is the smallest value in g, -1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1725071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 224 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15547, -31156, -46765, -62374, -77983, -93592?\nAnswer: -109201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0\/6*(-1)\/(-2). Suppose -r - 4*b + 27 = 0, x*r + 37 = r - b. What are the prime factors of r?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -y**2 - 54*y + 44. Determine i(-55).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 11239429?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 306\/(-4)*28\/(-63). Let j(y) = -2*y + l*y - 27*y. Let z(v) = 3*v. What is z(j(a))?\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 3 = -3. Suppose m - 18 = -k - g*m, -3*k + 34 = 5*m. Suppose 3*q - 79 = -2*x, -x = 3*x + k*q - 143. Is 15 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1371277\/2 or -685639?\nAnswer: -685639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*b - 9*h = 27*b - 5307, 4*h - 12 = 0. Is 16 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -2*r**2 - 572*r - 3361. Let s be d(-6). What is the nearest to s in -4, 137, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d\/d**(-3\/2))**(-18)\/(((d**(2\/3)*d)\/d*d)\/(d**(-4\/5)*d*d)) assuming d is positive.\nAnswer: d**(-952\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:35 AM and 4:17 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 22 + -19. Suppose -6 = w - m. Let f = 11 + -9. Put w, -5, f in descending order.\nAnswer: f, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 53957617 a multiple of 1132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a**(12\/7)\/a))**(7\/2)*(a\/a**2)**14)**(-16) assuming a is positive.\nAnswer: a**208","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 122743*g**5 + 440*g**3 + 183400418*g**2.\nAnswer: 7364580*g**2 + 2640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the second derivative of -d**4\/12 + 3*d**3\/2 - 3*d**2 + 8*d. Let v be m(8). Suppose 140 = 3*s + v*s. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (5*(-1 + sqrt(192))**2 + ((-1 + sqrt(192))*-1 - sqrt(192)) + ((sqrt(192) - 2*sqrt(192)) + 5)*-1)*-2.\nAnswer: -1925 + 176*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -1127\/888131?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6 + -1*(2 - 0). Let j = -5138 - -5142. Solve -5*v - 27 = j*q, 2*q = 7*q - p*v + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -5*l**3 + 3*l**2 + 102*l - 208. Determine x(2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 15 = 9*i. Suppose 5*p - 2*k - 362 + 51 = 0, -i*p = -2*k - 185. Which is bigger: 61 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -15 - 9*m**3 + 4 + 5*m + 10 - m**2 - 2 + 2. Give p(2).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/(-1) + (-6785638235)\/(-3900). Let n = o + -1739911. Let v = n - 7\/78. Find the common denominator of v and 77\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 + -9. Let s = z + 10.00000062. Round s to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 16*o**5 - 17*o**5 + 9*o**5 + (11 - 11 + o)*(2*o**4 + 0 + 0).\nAnswer: 10*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -440*v - 44*v - 25098 = 516*v + 57902 for v.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of w**6 - 90 + 16*w**2 + 183 - 95 + 97*w**6 wrt w.\nAnswer: 11760*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o**2 + 1 - 2*o**2 + 4*o**2. Let q be 32\/24 - 2\/6. Let a(m) = -m + 4*m + 6*m**2 + 8 - m. Determine q*a(w) - 8*v(w).\nAnswer: -2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 7, z: 4, t: 1, f: 2, j: 2}. Give prob of sequence qzjz.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 16631009 and 251?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -54.76490763 rounded to the nearest integer?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -6*i**2 + 3*i + 3. Suppose 2*t - 4*z + 10 = 4, -4*t + 5*z - 9 = 0. Let g(f) = -f**2 + f + 1. Determine t*d(n) + 3*g(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -397951, -396888, -395827, -394768, -393711, -392656, -391603?\nAnswer: -390552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -8*l + 24. Let y = 46 - 6. Let w(r) = 104*r - 312. Let f(h) = y*d(h) + 3*w(h). Let n be f(-9). What is the highest common divisor of n and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fururzffuuuur. Give prob of sequence rufu.\nAnswer: 9\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 33 = 1. Let t be (-1530)\/(-24) - 2\/y. Let i = 98 + t. Calculate the greatest common factor of i and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58*n - 8694 = -2256. Solve n*v + 120 - 564 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-14)\/784*-10 - ((-9)\/(-12))\/1. Which is the closest to 5\/26?  (a) 0.4  (b) k  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 314230937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l**2. Let n(f) = 366853*f**2. What is n(r(s))?\nAnswer: 366853*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 439501.\nAnswer: 5\/439501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*o + 3*o - 7. Let k be 6 - 10\/5 - (o + -1). Let y(t) = t**2 + 3*t - 1. Is 27 a factor of y(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**3 - 37*d**2 - 232*d - 241. What is the tens digit of y(46)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 0*d + 30 = 0. Suppose -4*i + 2 = 2*f + 32, -d = i + 2*f. Let g(x) = -x**3 - 6*x**2 - 8*x + 3. Does 9 divide g(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1004, 965, 926, 887, 848, 809?\n\"Answer: -39*p + 1043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 + -4)*(-1 + 1 + -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.7*16.577.\nAnswer: -11.6039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1 and 4601.341?\nAnswer: -4601.341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (sqrt(540)*1*1 - sqrt(540))\/(sqrt(12) + sqrt(192)*2))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-996)\/(-1743))\/((-178)\/(-182) - 1). Let w be 3\/(-12)*3*4. Let p be (-1)\/w + (-237)\/9. Is y bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28584872 divided by -7146218.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/17  (b) 0.1  (c) -31  (d) -3  (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 841, 905, 1003, 1129, 1277?\n\"Answer: -i**3 + 23*i**2 + 2*i + 817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17797357.\nAnswer: 19, 71, 79, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 343*v - 26083. Determine l(76).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t - 7 - 2 = -3*j, 2*t - 6 = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {b: 6, f: 1, k: 2, u: 2, x: 3}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0365 plus -1.6834731?\nAnswer: -1.7199731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 9148.732l?\nAnswer: 9148732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -41.727 less than 16?\nAnswer: 57.727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3900\/520*((2\/5)\/(-1))\/(-1))\/(-5)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 41\/2 of a micrometer?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 0  (b) 2\/5  (c) -1\/5  (d) -1313\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 9*f + 13. What is r(-6)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8564 + 342581\/40. Is t < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/30 of a week in minutes?\nAnswer: 336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -3  (b) 125643  (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 3*d + 6 = 0, -8 = -2*b + b + 2*d. Suppose -2*u - 19 = 3*r, -b*u + 3*r = -2 - 5. What is the units digit of 8 - (-2 - u)\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, e: 2, a: 4, w: 2}. What is prob of sequence ww?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**3 - 5*w**2 + 4*w + 42. Let b be m(-3). Suppose 3*f + 2 = 14. Differentiate 23 + 7*d**f + b*d**4 - 26*d**4 + 13*d**4 with respect to d.\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**3 - 7*t**2 + 10 - 5 - 7 + 6*t. Let v(n) = n - 3. Let k be v(-5). What are the prime factors of y(k)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1*(-3 - 14\/(-5)). Let a = 1155 + -1150. What is the third biggest value in -0.5, h, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3352 * -13669.\nAnswer: 45818488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 16*p**2 - 11*p. Let g(b) = -15*b**2 + 10*b. What is 6*g(w) + 5*z(w)?\nAnswer: -10*w**2 + 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 2856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*w - 268579708 + 85059708. Round w to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((a*a*a*a**2)\/a*a)\/a*a)**(-1\/45))**(2\/35))**47 assuming a is positive.\nAnswer: a**(-94\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q - 25 = -4*a, -6*a + 2*q = -3*a - 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1559229 is divided by 3544?\nAnswer: 3413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -4*g + 4*g + 5*g. Suppose 2*s - 2*k = 74, 2*k + 25 = s - 12. Let y = s - 36. Calculate b(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -726 at least -727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*((l*l*l\/l**9)\/l)\/l*l)\/(l**(-1\/10)\/l))\/(((l\/l**(-1\/77))\/l)\/l**(2\/95)) assuming l is positive.\nAnswer: l**(-71569\/14630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -596024.\nAnswer: -5\/596024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**2 + 8*z - 2. Suppose 0 = 2*w, 2*p + 5*w + 4 + 12 = 0. Let t be j(p). Let f be (2 + 1 + t)*-1. Is 2\/7 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes before 6:55 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**2 - 7*m + 6341. Is n(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (28\/70)\/((-7)\/(-70)*-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**2 - p. Let w(o) = 4*o. Determine v(w(t)).\nAnswer: 16*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/4, -2\/3, -0.04, -0.2, 41, 111?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 305.594 rounded to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 5, z: 3}. Give prob of sequence kkz.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5980905 and 341766.\nAnswer: 11961810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.5  (b) -0.4  (c) -99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 36148*g - 18102?\nAnswer: 36148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-44)\/(-110)*(-5)\/6*-1835202. Let g = 1738734 - c. Round g to the nearest ten thousand.\nAnswer: 1130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.5?  (a) -9\/23  (b) -2  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 4*w = -20. Suppose -p + w*p - 315 = 0. Let q be 3 + p\/(-6 + 3). What is q rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 1 z, and 1 y when three letters picked without replacement from zzawawzabcby?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*z + 7167 = 1569. What is the remainder when z is divided by 57?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + 3 - (-5)\/((-5115)\/14787)?\nAnswer: -38\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 224 = -3*h + 4*h - 4*g, 5*g = 15. Let f = 241 - h. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o - 2*g = -2*o - 20, 24*g = -3*o - 1276 + 1261 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1026732 and 2.\nAnswer: -2053464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 3*d + 2. Let g be b(-2). Suppose 0 = 37*q + 1071 - 1219. Put g, q, 2 in decreasing order.\nAnswer: q, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 164*d**5 - 22*d**4 + 605*d - 2.\nAnswer: 3280*d**3 - 264*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes before 3:38 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 12*v + 5 + v**3 + 3 + 12 + 4 + 12*v**2. Let m be l(-11). Solve -2*f + 5*q - m = 6, 17 = -f + 4*q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 15043 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p**2 - 11212*p + 11208 = 0 for p.\nAnswer: 1, 2802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -10413104 (base 6) in base 16?\nAnswer: -4c6c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.2 - 0.1. Let p = -1.1 + h. Let f = -2 + p. Which is smaller: 0.1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18460?\nAnswer: 2, 5, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/(-27) + (-5)\/90*-122. Suppose 714 = 9*p - l*p. What is the highest common factor of 51 and p?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1016, -2038, -3082, -4160, -5284?\nAnswer: -6466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 2*x**2 + 74*x - 1 + 83*x - 162*x. Let o(r) = r**2 - 3*r - 1. Calculate 3*k(n) - 5*o(n).\nAnswer: n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2 or -271\/90?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4616a - -2?\nAnswer: -46168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9917194 - 9916718 = 17*t for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -34 + 61. Calculate the smallest common multiple of ((-41426)\/42)\/(-11) - 1\/(-3) and j.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -13 + 19. Let x be (-4)\/(-18) - (1695\/(-27) - -5). Suppose x*o - 57*o = 0. Solve v + 2*v + f + 14 = o, -f - j = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*q - 84 = -13*q. Let k be (-26)\/(-65) + -2 + q\/15. Let a(g) = -g + 1. What is a(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2.8 and 19425960456724.\nAnswer: 19425960456721.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.7 and -12.71.\nAnswer: -12.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 2*m - 52. Let d(t) = -2*t**3 + 10*t**2 - 4. Let i be d(4). Let w be s(i). Solve w - 3 = v, 0 = 3*c - v + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 2 + 2*(sqrt(1539) - (sqrt(1539) + -2)))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1 - (-3 + 1)) + -5 + 8457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 smaller than -121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1672 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 150 divided by 389.\nAnswer: 150\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:40 PM and 1:25 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6\/(-15) - -21*(-66)\/(-15). Let v be (-3)\/(-7)*-1 - c\/(-84). Let r = 6 + -11. What is the nearest to v in r, -0.9, 4?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that 28*v**2\/5 + 5256*v\/5 - 1504\/5 = 0.\nAnswer: -188, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 254289 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 317612 to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*y**3 + 4*y - 4*y - 12*y**2 - 8*y**3 + 12*y**2 + (5*y - 2*y - y)*(2*y**2 - 4*y + 4*y) as q*y + v + s*y**3 + p*y**2 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 4 + 4*m**3)*(108 + 96 - 157) to the form o*m + f*m**2 + p + s*m**3 and give s.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 22, -2, -81, 0 in descending order.\nAnswer: 22, 0, -2, -5, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -2*g - 11. Let v be d(-6). Let s = -4 - -7. Calculate the greatest common divisor of s and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 2 + (12 - 20)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -5*f**2 + 6*f - 70. Let d(t) = -t**2 + t + 1. Let z(j) = 6*d(j) - h(j). Let m(o) = -2*o**2. What is m(z(q))?\nAnswer: -2*q**4 + 304*q**2 - 11552","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/(-93))\/(-4*13\/104).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v + 33 = -3*v + 4*v - 8*v - 2*s, 49*v = 4*s + 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 117655, 235306, 352959, 470620, 588295?\nAnswer: 705990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + (-8 - (-7 - 4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 41127 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 103 = -63. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xdbxvdzbbxbv. What is prob of picking 1 d and 2 v?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the second derivative of n**5\/5 - 5*n**4\/3 + 16*n**3\/3 - 8*n**2 + 25*n + 1. Let h(l) = 0. What is l?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = -3*f, 3405*h + 3*f = 3404*h - 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1000 = -119*t - 793 - 1278 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 160030.4 millimeters?\nAnswer: 0.1600304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = 2*v + 2*c - 22, 26 = 4*v + c. Suppose 4*o - v*o = 0. Let n = o + 4. Solve -n*i - 29 = -9 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that q**5\/6 + 3*q**4 + 19*q**3 + 136*q**2\/3 + 15*q\/2 - 75 = 0.\nAnswer: -6, -5, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 3*i + 9 = 0, 0*g - g = -i - 3. Suppose g = -l - 9 + 42. Suppose u + 0*m - l = 5*m, 0 = 3*m + 15. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 5, u: 4, j: 5}. What is prob of sequence ju?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: What is 488 minutes after 12:47 AM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 7) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 459 and 135.\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**3 + 7*l**2 + 6*l - 3. Let d be y(-6). Sort d, 11, 5, 3 in decreasing order.\nAnswer: 11, 5, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(132)\/sqrt(4)*-2)\/(sqrt(147)*1).\nAnswer: -2*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the first derivative of -138*k**2 - 54*k**3 - 88 - 168*k - 3\/5*k**5 - 39\/4*k**4. Factor z(a).\nAnswer: -3*(a + 2)**3*(a + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:50 AM and 2:33 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -115, 1, 3 in decreasing order.\nAnswer: 3, 1, -1, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**3 - 8*f**2 - 13*f - 13. Let b be x(7). Sort b, 3, -3 in descending order.\nAnswer: 3, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:22 PM and 4:04 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -22\/271 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9779*c**6 - c**2 - 77?\nAnswer: 1173480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -2, 1162, -3 in increasing order.\nAnswer: -3, -2, 5, 1162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f + 16 = 9*r + 118, -3*f = 2*r + 18 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 1 - 0. Let m be (o + 3)\/(2\/(-2)). Suppose -11 = s + d + 2*d, 0 = -2*s - 5*d - 18. Sort s, m, -2 in decreasing order.\nAnswer: s, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 21*v**3 + 317*v**2 - 67*v - 1459. Calculate l(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-117)\/26 - (102\/(-20) - 21\/105)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3597 by 3.\nAnswer: 1199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 46475*k + 5437571. Give q(-117).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in -5, 3, -7\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 4189 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -10\/847 and -47\/160123425.\nAnswer: 1761357675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b**2 + b. Let r be 16*(-6)\/(-216)*9. Let j(s) = -r - 10 + 22 - 5*s - 8. Determine j(o(f)).\nAnswer: -5*f**2 - 5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -10*h - 12. Suppose w + 2*w + 30 = 3*d, -4*w = -d + 25. Let t be -15 + 1 + (-2)\/(-1). Let z(a) = 4*a + 5. Determine t*z(v) + w*b(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -7178*w - 301475. Determine q(-42).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(-2 + ((sqrt(192)*-2*6)**2 - sqrt(192))) + ((sqrt(192) - -1*sqrt(192) - sqrt(192) - sqrt(192)) + 3 - (-1 + (sqrt(192) - -1*sqrt(192)))**2))*-1.\nAnswer: -82172 - 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iitctttitvvttttvc. Give prob of picking 1 c, 1 t, and 1 v.\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.660696 rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(192)\/(sqrt(4)*-1).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -18927008 - 1?\nAnswer: -18927009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 291a2 (base 11) to base 14\nAnswer: 1119c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5297*m**2 + 1075*m - 7677526 wrt m?\nAnswer: 10594*m + 1075","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the first derivative of 2*b - 78. Let o(s) = -s - 1. Let i(y) = 9*o(y) + 4*t(y). Let l(z) = -10*z - 2. Calculate 3*i(u) - 2*l(u).\nAnswer: -7*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/5 - (-2)\/(-125)*-26)*(-50560)\/(-70784)?\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:12 AM and 5:12 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2002333 (base 4) in base 13?\nAnswer: 3a7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((sqrt(98) + 5)**2 + -5 + 5 - (sqrt(140)\/sqrt(160))\/(sqrt(49)\/sqrt(63))).\nAnswer: 277*sqrt(2)\/4 + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 747?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 plus -13583931251405.8?\nAnswer: -13583931251410.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 107*t**3 - t**2 - 2*t + 3. Determine b(1).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -5*x - 95. Let m be k(-21). Solve -20*f + 30 - 6*f**2 - 3410*f**3 - m + f**2 + 3415*f**3 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y**2 + 5*y. Let v be c(4). Let a(u) be the first derivative of u**2 + 8\/3*u**3 + 1\/2*u**v - u + 2 - 2\/3*u**6 - 7\/5*u**5. Factor a(i).\nAnswer: -(i - 1)*(i + 1)**3*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 33159\/62905447 - 5\/6743. Which is greater: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51270000 rounded to the nearest 1000000?\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttdddtt. Give prob of picking 2 t.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1401, 2397, 3407, 4437, 5493?\n\"Answer: o**3 + o**2 + 986*o + 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the first derivative of -101*j**5\/5 + j**2 + 158*j + 37. Find the second derivative of i(t) wrt t.\nAnswer: -1212*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 111351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1885*j - 1945*j + 587 - 2867 = 0 for j.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1375)*1 + (sqrt(55) - -2*sqrt(7920)))\/(sqrt(22)\/sqrt(72)*-6).\nAnswer: -30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k + 97 = -134*c + 126*c, -2*c - 2*k = 16 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-2\/53)*b**(2\/33)*((b\/((b**(-15)\/b)\/b))\/b*b)\/(b\/(b*b**(1\/8)*b)))**(-46) assuming b is positive.\nAnswer: b**(-6162091\/6996)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 12\/(6\/(-3))*(2527\/21)\/(-19)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 71470.953 rounded to the nearest 10?\nAnswer: 71470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 2*p**3 + 11*p**2 - 9*p - 4. Let n be m(-6). Let u(y) = 7*y - 84. Is u(n) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 7*v - 15. Let t be w(11). Let z = 108 - t. Let s = z - 22. Calculate the highest common divisor of 3 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -413 - -411. Let p = -284 + 284.03. What is the nearest to -2\/5 in 1\/2, b, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**2 - 19*n + 23. Let r be w(18). Let o = -156 - -160. Suppose -5*v = -3*a - 0*a + 430, -r*a - o*v = -766. Is 25 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d = -18, 0 = 32*x + 16*d - 21*d - 109 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*q**3*w - 361555*q**2*w**2 - q**2*w + q*w**2 + 2*q*w - 695*w**2 + 748*w + 8 wrt q?\nAnswer: -18*q*w - 723110*w**2 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a\/a**(6\/17))*a**34*a**(14\/3)*a*a*a**(-8\/5))**34 assuming a is positive.\nAnswer: a**(20104\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -4131140 to the nearest 10000.\nAnswer: -4130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 6 + ba?\nAnswer: c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 8*m - 34. Let c be w(5). Let s(p) = 11*p**2 - 6*p - 4. Let l(r) = -13*r**2 + 6*r + 5. Let u(f) = c*l(f) + 7*s(f). Calculate u(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -25662 (base 12) to base 14\nAnswer: -14866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 51 + -48. Suppose -2*b - 1 + 53 = 0. Let c = b + s. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2*(-10)\/(-8)*(-8434)\/(-10). Let k = -2148 + m. Calculate the common denominator of k and 49\/74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 276  (b) 3  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10292806?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*s + 21*s + 1056 = 0. Let z = s - 139. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -15*z + 7. Let a = 16 + -24. Is k(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16322 rounded to the nearest 100?\nAnswer: -16300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes before 8:56 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 3 - 5 + 4 = -a, 0 = -4*a. What is the closest to 1 in 7\/2, f, -3\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-54)\/(-20))\/(-9))\/(4*54\/(-4680)).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 964 and 6507.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -25 + 15. What is the third smallest value in u, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the first derivative of d**4 + d**3\/3 - 2*d**2 - 2*d - 385. Let u(f) = 21*f**3 + 6*f**2 - 19*f - 11. Give -11*r(y) + 2*u(y).\nAnswer: -2*y**3 + y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:56 AM and 6:39 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4, 0.5, 0, 42?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(152) - (-2*sqrt(152)*-1 - sqrt(152)))\/((sqrt(128) + sqrt(8))*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 62 - 28. Suppose -3*z + 8 + h = 0. Let u(t) = 15*t**2 - 1. Let q be u(-1). What is the greatest common factor of q and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 31*r**4*w - 461*r**4 - 23*r*w - 13*w + 77935 wrt r.\nAnswer: 124*r**3*w - 1844*r**3 - 23*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (6\/(-15))\/(-21 - (-560)\/28). What is the closest to v in -2\/3, 1\/5, 5\/17, -3?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**2 + o. Let w(l) = l**2 - 4*l - 1. Let p(u) = -2*s(u) - 3*w(u). Give p(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (27 - 12 + 25)*(-2 + 3 - 3)*(30 - 30 + 18*z)*(-2 + 1 + 3).\nAnswer: -2880*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(130\/(-8) + (-65)\/(-52))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1041, 626, 211, -204, -619, -1034?\n\"Answer: -415*j + 1456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 107 a factor of 20468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -943 > -923?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 2*d**2 - 5*d + 2. Suppose -8 = -2*l - 4*b, 2*l - 32 = -l - b. Let y = -9 + l. Is 2 a factor of v(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4)\/(-32) - 31\/(-8). Let a(u) = -2*u**2 + 3*u**2 - 58 + b*u + 61. Give a(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - (0 - 0)) + 7 - (-33825)\/(-5863).\nAnswer: 42\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 614 and 4298?\nAnswer: 4298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -40 - -56. Let s be (d\/6)\/((-2)\/6). Let q(a) = a**2 + 8*a + 10. Calculate the remainder when q(s) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the second derivative of -1\/63*w**7 + 32\/9*w**4 - 29*w + 0*w**2 + 0 + 4\/15*w**6 - 8\/5*w**5 + 0*w**3. Solve g(r) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*f - 8*f = -5610. Suppose -4*o + 28 + 92 = 0. Calculate the greatest common divisor of f and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 622444 = -5*d, 172*d - 2489861 = -4*z + 175*d. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 - (6 - -3) - -203. Let y = -181 + j. What is the highest common divisor of y and 1526?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -37.57 to the nearest integer.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.7 and -64.\nAnswer: -44.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*o + 23*o + 111*o + 115*o to f*o + s and give f.\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 31 - 26. Let o(q) = 2 + q**3 + 7*q - 9 - 2*q**2 - g*q**2 + 0*q**3. Calculate o(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(125) + 2*2*sqrt(125) - sqrt(125)) + (sqrt(125) + 0)*-6)**2.\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -67*v + 3453. Calculate h(51).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -51*u + 60*u + 2896 - 2464 for u.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h + 2*d - 135, 28*d = 26*d + 6. Find the second derivative of -7*w + 2250 + 38*w**2 - 5*w**5 + h*w - 2246 wrt w.\nAnswer: -100*w**3 + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(300))\/sqrt(6)*-5 - sqrt(600)\/(2*sqrt(12)*5))**2.\nAnswer: 2601\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 177, -4554, -12445, -23502, -37731, -55138, -75729?\nAnswer: -99510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5596642 is divided by 2537?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 41961180 + -92?\nAnswer: 41961088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 20082 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -4*t - 3*t + 10 - 19 + 0*t - 33. Determine g(6).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 83431?\nAnswer: 83431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.0775, 3, -1, -1\/3, -0.4 in descending order.\nAnswer: 3, -0.0775, -1\/3, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 37195962 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -125 (base 6) to base 12\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 30\/(-18)*5\/((-25)\/18). What is the first derivative of 28 - 6*v + f*v - 68*v wrt v?\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 553*p**2 - 109514*p + 109514*p.\nAnswer: 553*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is (24 + 77\/(-3))\/(-1 - (-890392)\/890394) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -4*n**2 + 392*n - 2542. Determine p(91).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 7) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-467 + 29)\/(((-12)\/3)\/(-12)). Are -1314 and m equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 - -35. Suppose -3*z = -6*z + i. Calculate the greatest common divisor of 44 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 15 - 18?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 114375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-690)\/78 - (4 - (-500)\/(-130)). Put z, -5, 6, 1, 4 in decreasing order.\nAnswer: 6, 4, 1, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.96 - 0.67. Let g = a + -0.79. What is the second smallest value in -2\/9, g, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -78, -74, -66, -54, -38, -18?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 5, -207, 1, 0.87?\nAnswer: 0.87","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -6.19274 and -13?\nAnswer: 80.50562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 + -7072a0?\nAnswer: -70729a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32454444?\nAnswer: 2, 3, 11, 53, 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1035153 divided by -3.\nAnswer: 345051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 6*u + 74. Let w be (-1 + (-44)\/(-12))*135\/(-36)*1. Determine v(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wjjjjwjjjwjjjjjrjr. What is prob of sequence jjw?\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 40 divided by -20.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand j**4 + 9*j**4 - 2*j**4 + (2*j**3 + 1 - 1)*(-2 + j + 2) + 2*j**4 + 4*j - 4*j - j**4 + j**4 - 2*j**4.\nAnswer: 10*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 385954 divided by -6.\nAnswer: -192977\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 166052484 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 692 or 15247\/22?\nAnswer: 15247\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 83505 and 82919.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 2 k when three letters picked without replacement from ffqqqkqfqaqjfaqq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 11971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -4*z**3 + 2*z**2 + 2*z + 1. Let n be r(-1). Suppose b = -2*x + 1 + 8, n*b + 5*x - 35 = 0. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10\/30*-5*42\/70*(-4)\/(-136)\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/3, 75, 0.4, -3, -2\/5 in descending order.\nAnswer: 75, 2\/3, 0.4, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, -1, -451, -14.8, 3 in decreasing order.\nAnswer: 3, 0.4, -1, -14.8, -451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u = -5*u + 5*n + 1215, 0 = 3*u - 2*n - 728. What is the highest common factor of u and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5885225 micrometers in nanometers?\nAnswer: 588.5225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*y**2 - 51*y**2 + 10*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 66, 131, 196?\n\"Answer: 65*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -216*p**3 - 903*p - 2592 - 2765*p - 1746*p**2 + 63*p**4 - 220*p - 71*p**4 = 0 for p.\nAnswer: -12, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the first derivative of v**5\/10 + v**4\/3 - 5*v**3 - 36*v**2 - 122*v + 10. Let x(t) be the first derivative of h(t). Factor x(j).\nAnswer: 2*(j - 4)*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16976 times -0.57?\nAnswer: -9676.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the third derivative of -f**5\/60 - 3*f**2 + 2001*f. Let q = -4 - -9. Let z(u) = -2*u + 2*u + q*u**2 - u**2. What is z(o(l))?\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*u + 3*u + 2*n + 86, -4*u - 4*n = -332. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2830012.\nAnswer: 2, 19, 23, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (452\/2034)\/(8\/90).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 354 = 4*j, 1659*j + 2*v + 324 = 1663*j. Calculate the highest common factor of 1596 and j.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/7 and 7\/15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1169 (base 10) in base 6?\nAnswer: -5225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 88810 is divided by 1164.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -4*(-2)\/(-10)*-5. Suppose -5*d + 12 = -8, 2*d = -4*l + 12. Let x(n) = -1 + 0*n + 5 + 4*n - n**2 + l. Determine x(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -26906*p**3 + 33593 wrt p.\nAnswer: -80718*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 385 minutes after 8:28 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l**5 - 4868825*l**4 + 24344030*l**3 - 29212780*l**2 - 19475240*l + 38950400 = 0. Calculate l.\nAnswer: -1, 2, 973760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**2 + 4*c - 4. Let d be b(-5). Let x be 6\/(1 - (-5)\/(-4)). Let r = 45\/2 + x. Put d, -2, r in descending order.\nAnswer: d, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q - 3. Let h be d(-7). Suppose h*b - 42 = b. Calculate the remainder when 41\/(-492) + 4459\/84 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 19\/13  (b) 1\/7  (c) 0.88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes before 6:23 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o*o**(3\/8))*o*o)\/((o*o**(-2))\/o)*(o\/o**(1\/2))**(-14) assuming o is positive.\nAnswer: o**(-27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 4*o + 191 = 0, u - 2*o + 193 = 4*u. Let f = u + -30. Suppose -2*p = w - 6 - 0, 3*p = 5*w + f. Solve p = 2*v + 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 57.1 times 0.269\nAnswer: 15.3599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 15 and 225.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express ((4*k + 6 - 6)*(2 + 2 - 2) + (3 - 4 + 0)*(-6*k + 2*k + 3*k))*(12*k + 14*k - 28*k) as f*k + b + t*k**2 and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**2 + 2*s - 1. Let m(r) = 2*r**2 - 6*r**3 + r**3 + 4*r**3. Let x be m(1). Let a be w(x). Solve a = v - 2 + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-1\/9)*i**(-11)*(i\/(i*i*i**(-16)))\/(i**(-2)*i) assuming i is positive.\nAnswer: i**(44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 5 * -2\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4597.\nAnswer: 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4519811?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*a + 3*a - 14*a**3 + 2*a - 4*a**3.\nAnswer: -18*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 5  (b) 2\/3  (c) -68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4819 = 4*o - 8333. Let c be 1*(4 + o)*(-1)\/(-2). Suppose -5*s - 5*f + 1680 = 40, 5*s + 3*f - c = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5059, -10182, -15323, -20488, -25683, -30914, -36187?\nAnswer: -41508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 23*m**3 + 4*m**2 - 105*m - 20700 with respect to m.\nAnswer: 69*m**2 + 8*m - 105","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 3 + 3*sqrt(17) + (1*sqrt(272) - 5*sqrt(272)).\nAnswer: -13*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 4, b: 8, s: 2, t: 2}. What is prob of sequence gtb?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 1 g when three letters picked without replacement from jrgargrravrargggrgg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 149871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 330179.\nAnswer: 73, 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-13)\/(-91) + (-12)\/14*(-10)\/(-30).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**3 + 6*q**2 + 2*q - 8. Suppose 2*f - 7*h - 27 = -4*h, -2*f - 5*h = 13. Let g be d(f). Suppose g - 7 = -3*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18435324.6s in weeks?\nAnswer: 30.4816875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -t**5 - 2*t**4 + 2*t**4 + (-3*t + 3*t - 2*t**2)*(3 - 3 - t**3) - 20*t**5 - 3*t**5 - 3*t**5.\nAnswer: -25*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**2 + 13*p - 7. Let y be q(12). What is the units digit of 122\/y + 8\/(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9*v**5 + 18*v - 18*v + (v + 0*v - 2*v)*(-v**4 + 6*v**4 - 3*v**4) + 13*v**5 - 6*v**5 + 5*v**5.\nAnswer: v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -4*t - 9, 0 = -4*b - 3*t - 37 - 12. Let u be b\/(39\/(-30)) + -3. Let o(x) = -x + 9. Determine o(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u + 2035*d - 2031*d = -72, 5*u + 69 = -3*d for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -21*o**2 - 18*o. Let u(n) = -n**2 - n. Let p(a) = -h(a) + 18*u(a). Let v = 1 - -1. Let k(c) = -2*c**2 - c**2 + c**v. Give k(p(w)).\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 7*b - 4. Let t(r) = 1. Let z(i) = s(i) + 2*t(i). Let f be z(1). Let y(c) = -c**2 + 8*c - 9. What is the remainder when 9 is divided by y(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 956567278 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -1 + 5. Suppose 4*h - u - 8 = 0. Suppose 0 = 2*s + h*s. Solve -3*d + 5 = 5*o - 8, s = -4*d - 16 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 19883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*h - h**2 + 3*h)*(15 + 5*h**2 + 0*h - 18 + 2*h).\nAnswer: -5*h**4 - 2*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*u + 18 = 2*x + 11*x, 6*u - 7*u - 3 = -5*x for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 15 and 298110?\nAnswer: 298110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -43681851 divided by 118379.\nAnswer: -369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 158767.3 times -0.4\nAnswer: -63506.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -p**3 - 73*p + 23*p + 24*p + 24*p + 1094 - p**3 as d*p + a + q*p**3 + m*p**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that c**5\/3 - 66317*c**4\/3 - 154769*c**3 + 2586689*c**2\/3 - 3515194*c\/3 + 486376 = 0.\nAnswer: -11, 1, 2, 66324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that -v**3\/6 + 258*v**2 - 10757*v\/6 - 7705 = 0.\nAnswer: -3, 10, 1541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*n**3 + n**4 + n**3 + 2*n**3)*(-n + 3*n + n) - 88*n**3 + 88*n**3 + 26*n**5.\nAnswer: 29*n**5 - 3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 627532, 627524, 627510, 627490, 627464?\nAnswer: 627432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*f**2 - 18*f**2 + 20*f**2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 3590*r - 340. Let l(t) = 6*t + 2. Give -5*h(m) - 850*l(m).\nAnswer: -23050*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 2, u: 1, a: 4, e: 3}. Give prob of picking 2 e and 2 a.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -24, -3, -5166, 1\/3, -5 in descending order.\nAnswer: 1\/3, -3, -5, -24, -5166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -72653 divided by 4\nAnswer: -72653\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -70\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -82 + 81.9788. Let l = -7 + 7.023. Let y = l + w. What is y rounded to 4 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 5192.265g?\nAnswer: 5192265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 - -4) + -2 - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i - i - 3*f - 1142, 4*i - 4523 = 3*f. Suppose -11*d + i = -4406. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -9741 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.1305 + -0.4305. What is the closest to -2\/17 in -0.4, -2\/11, 0.2, m?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vudosas. What is prob of picking 1 a, 1 o, and 1 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -3 - 2 - -4*(-45)\/(-20). Is l at most 193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1648.94 + -1665. Let j = b - -16.1. What is the closest to -1 in -0.5, 2\/17, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-58)\/(-7))\/(1186\/(-4151))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001327 to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**2 + 7*a - 7. Suppose u = -4*t - 7, 2*t - 4 = u - 3*u. Let x be s(u). Suppose -x = -3*w, 2*v - 5*w + 23 = 4*v. Solve 2*b = -1 - v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 96 + -73. Calculate the remainder when n is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-4)\/(-6))\/((3 - -9) + -8). Put 1, 0.4, 271, k in increasing order.\nAnswer: k, 0.4, 1, 271","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1126 and 9200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -4*l**3 + 8*l**2 + 2*l. Let m(i) = -i**3 + i**2 + i. Let a(t) = -k(t) + 6*m(t). Factor a(b).\nAnswer: -2*b*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1027967 and 9175?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57 = -8*f + 97. Solve -f*m + 3*m - 4 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000372 to 5 dps.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from vnsyq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-1))**(-18))**(-1\/4) assuming i is positive.\nAnswer: i**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -203 + -1187?\nAnswer: -1401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -38, -70, -114, -176, -262?\nAnswer: -378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 312 divide 110924096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*p**4 + 4*p**3 + 2*p**2 = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2591575968 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -2000113 (base 4) to base 2\nAnswer: -10000000010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 3*n**2 + 31*n - 45. Let x(f) = -4*f**2 - 32*f + 46. Let v(y) = 5*k(y) + 4*x(y). What is the units digit of v(21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -995, -7044, -23675, -56180, -109851, -189980?\nAnswer: -301859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxuu when four letters picked without replacement from {u: 3, x: 12}?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -5*s**2 + 20*s - 37. Let k(a) = a**2 - 5*a + 9. Let y(w) = 9*k(w) + 2*t(w). Let d be y(-6). Sort 4, d, 5.\nAnswer: d, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1008 and 35.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 177*o + u = 174*o + 2, 4*u + 4 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 4*x + x + 121 + 8*x - 2*x - 118. Suppose 4*j - 3*y + y = 28, -4*j - 2*y = -20. Suppose 2*a = j - 2. Let l(m) = -5*m - 1. Calculate a*i(r) + 5*l(r).\nAnswer: -3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 48762, 194193, 436284, 775029, 1210422, 1742457, 2371128?\n\"Answer: -x**3 + 48336*x**2 + 430*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*c + 13*c - 146 = -2*m, 0 = 3*c - 2*m - 194. Calculate the highest common divisor of c and 5882.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h = -1 + 13 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4034 + 4052. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*d*f**2*z**2 + 89*d*f**2 - 6*d*f - d*z**2 + 2*d*z + 4*f**2*z**2 + 6*f*z**2 wrt f.\nAnswer: -4*d*z**2 + 178*d + 8*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1 - (-2)\/17 - 1. Let r = -0.143 - -0.143. Is r at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -165*v + 140*v + 500 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(63)\/((sqrt(9) - sqrt(108)\/sqrt(300)) + sqrt(9)) - (sqrt(35)\/((sqrt(35)*2 + sqrt(35))\/sqrt(7)))**2.\nAnswer: -7\/9 + 5*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 39359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(3\/5)*a**8)\/((a\/((a*a**(1\/17))\/a))\/a**(-5)) assuming a is positive.\nAnswer: a**(226\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-1\/2))**(-42)*((w**(-4)*w)\/w)**(5\/6) assuming w is positive.\nAnswer: w**(53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 18 + -13. Suppose l = m*l. Solve 2*d - 4*b + 12 = l, -3*d + 12 = -7*d + 5*b for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 102 and 1954278?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -223, -233, -245, -259, -275, -293, -313?\nAnswer: -335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -84, -81, -76, -69, -60, -49?\n\"Answer: q**2 - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*w - 4*l = 8*w - 6, w = -2*l + 10. Solve -7*b + 20 = -3*b - 4*c, -w*b + 5*c + 13 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10.1 + 0.1. Let d = -10.3 - n. Which is the biggest value?  (a) -1  (b) -1\/8  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1295032228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 9*x**2 + 30*x - 152. Give s(4).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 69\/16867088 and 95\/672?\nAnswer: 101202528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1316 + 10*n**2 + 652 + 664.\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -6 - (-8 + 40\/28)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -5 + 973\/(-14) - (-1)\/2. Let i = -72 - t. Solve -1 = 4*c - 5*d, 0*d + 11 = -i*c - d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*v**4 + 35340*v**3 - 62410430*v**2 - 124926900*v - 62481125.\nAnswer: -5*(v - 3535)**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.14325974 rounded to 4 decimal places?\nAnswer: 0.1433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 2 + 0)*(2 - 4 + 0)*(-1 + 5 - 3)*(11*r - 14*r - 16*r)*(10*r**2 - 15*r**2 + 10*r**2)*(-6 + 6 + 3) as o*r + g*r**3 + b + x*r**2 and give g.\nAnswer: 2280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 32.522 + -32.5220023663. What is r rounded to 7 dps?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 + (-3)\/15*0. Solve -2*x + 4 = -k*g, -3*x = -4*x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -109*y. Let o(f) be the second derivative of -f**4\/3 + 2*f - 222. What is k(o(d))?\nAnswer: 436*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 207 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5587521 or -5587612?\nAnswer: -5587612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -247607, -247603, -247597, -247589, -247579, -247567, -247553?\n\"Answer: y**2 + y - 247609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q**2 + q**2 - 2*q**2)*(-3 - 3 + 7) + 59 + q**2 + 139 - 260.\nAnswer: -q**2 - 62","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 408 - 395. Solve -30 = n*k - 7*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -2*b**2 - 21*b - 5. Let l be y(-10). Let o(w) = 17*w - 22. Let z(u) = -24*u**3 + 2*u**2 + u. Calculate the remainder when o(l) is divided by z(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(931) + -1 + sqrt(931))**2 + 2 - (sqrt(19)*-2 + 5 + (sqrt(152) - sqrt(152)*1)\/sqrt(8)))*-6 + 2.\nAnswer: -22330 + 156*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (j + 9*j + 0*j)*(-5*j + 0*j - 2*j)*(-j**2 + 0*j**2 + 5*j**2) to q*j + t*j**3 + l*j**4 + c*j**2 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.0903 + -0.09031086. Round s to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 32, 10\/31, 3\/7, 2.\nAnswer: 10\/31, 3\/7, 2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 9\/21 + (-234)\/(-42). Solve -4*s = -2 - p for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u**2\/7 - 820609*u\/7 - 410304\/7 = 0. Calculate u.\nAnswer: -410304, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 279 or -950?\nAnswer: -950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 14*i - 3. Let j(s) = -15*s + 2. Let y(g) = -4*j(g) - 3*q(g). Let f be -2 - (-3 - -2) - -2. Does 19 divide y(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -97011 divided by -3?\nAnswer: 32337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*x - 1 - 4*x - 255*x**3 - 1367*x**2 + 1367*x**2 in the form t*x**2 + r + u*x + i*x**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**2 - m - 1. Let n(o) = -12*o**2 + 11*o + 11. Let d(f) = -2*n(f) - 22*v(f). Let y(p) = -14*p - p**2 + 14*p. Determine d(y(u)).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 2839*p - 228225. Determine z(80).\nAnswer: -1105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -127\/2144840 and 145\/408.\nAnswer: 109386840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ygynyyyywlwlywggggly. What is prob of picking 3 g?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 73405 is divided by 73157.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 2*s + 145 = 0, 5*o - 3*s = 1003 - 264. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = 0, 0*t = -3*j - 4*t - 96. Let o = j - -56. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 122, 60, -2, -64?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = -6*z - 0*t + 3*t - 2, 13 = -2*z - 3*t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 7*u**3 + 108*u**2 + 33*u - 17. Let l be s(-15). Solve 6*g + l = 151 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 17582306 and 890.\nAnswer: 87911530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -473 - -12324. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -38410610 rounded to the nearest 1000000?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 60.32 * 886\nAnswer: 53443.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15\/25 + -4 + (-177)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 544509521 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 59147000 to the nearest 1000000.\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 21470 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*a - a + 3*a)*(-10 + 23 + 38) to t*a + j and give t.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = -2*t + 4*t. Suppose -7*i - 309 + 561 = 0. What is the remainder when i is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 82*h = 94*h - 3*k - 90, -3*h + 3*k + 27 = 0 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 9*j + 2. Determine g(4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/5, 0, -72?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*k**3 + 3 + 4*k**3 - 8*k**3 - 3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 84\/2*(225\/(-30) - -8). Let g be u\/49 + (-4)\/140. Is 52 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**(-1\/4)\/k*k)**(1\/17))**(-7\/2)*(k**(-1\/6)\/(k**(2\/11)*k*k))\/(k**(1\/8)\/k**0) assuming k is positive.\nAnswer: k**(-5897\/2244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12 + 9 - 143*q**2 + 4 + 10.\nAnswer: -143*q**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (6 - 6 + 7*n**3)*(-3 - 6 + 2)*(-3*n - 2*n + 2*n) - 9*n**4 + 4*n**4 - 38*n**4 in the form i + w*n**3 + d*n + z*n**2 + c*n**4 and give c.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -444216d + 5?\nAnswer: -4442168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.049 + 18.649. Let k = u + -18.5779. Round k to three decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 4*y + 4*r + 11 = 0, 0 = 3*y - 4*r - 29. Let k(z) = 4*z**2 + z + 3 + z**y + z**2 - 2*z. What is the units digit of k(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**5*c**28\/c assuming c is positive.\nAnswer: c**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a century in years?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3\/2, -1\/3, -1\/6, 3, -1\/469?\nAnswer: -1\/469","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 851 is divided by 416.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 909.2721l in millilitres?\nAnswer: 909272.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7659?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**3 - 12*m**2 - 12*m - 14. Let v be p(13). Let t(k) = 6*k + 1. Let x be t(v). Calculate the remainder when ((-3)\/x)\/((-2)\/(-30)) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 - -101222?\nAnswer: 101220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -302.63 + 303. Let y = -125 + 125.57. Let l = y - u. What is the third smallest value in l, 5, 2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 32*g**2 + 2*g + 1. Let k(o) = -o**2 - 12*o - 28. Let h be k(-9). Calculate a(h).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i**2 + 28*i - 180. Let r be n(14). Solve 0*x - x = -d + 6, 4*d - r = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 3*f**2 - 129*f - 1633. Is t(-149) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (7 - 6\/2)*14. Let x be 4\/(-14) + 128\/w. Which is greater: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2152 is divided by 598?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 766791?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the third derivative of q**6\/12 + q**3\/6 + 5*q**2. Determine a(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from afapzafapcaapzp. Give prob of sequence aa.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y + 2*o - 0*o - 16, -11 = -2*y - o. Determine r so that 0*r**2 + 1 - y*r**3 - r**2 + 3*r + 2*r**3 - 2*r = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 0.7327306cm?\nAnswer: 7.327306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ohohohhomhh. Give prob of sequence oo.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 5152 times 0.305?\nAnswer: 1571.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 0, 0.02 in increasing order.\nAnswer: -0.4, 0, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -1, 4, -0.13, -0.152, 555?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 624267.8t to kilograms.\nAnswer: 624267800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2814 and 20610674.\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4.694 - 0.284. What is w rounded to 1 dp?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -644*y + 1344. Let p be a(-12). What is the highest common divisor of p and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16\/12 - (-1 + -4 + 7).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9593319 hours to microseconds.\nAnswer: 3453594840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -232, -1420, -3394, -6154, -9700?\nAnswer: -14032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 67042 is divided by 16756.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one halves of a centimeter in millimeters?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 6*a**2 - 3*a + 10. Let m(w) = -w - 1. Let v(t) = -3*m(t) + o(t). Differentiate v(z) wrt z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z - 310 = 75. Let p = 168 - z. What are the prime factors of p?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 57 - 2d?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 300704423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(6\/39*(-17)\/(-34)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 3*o. Let i(j) = 7*j**2 + 4*j. Let n(a) = 6*a**2 + 3*a. Let s(q) = 3*i(q) - 4*n(q). Give s(c(d)).\nAnswer: -27*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -12397, -12421, -12445, -12469, -12493?\n\"Answer: -24*f - 12373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3961 * -0.6445.\nAnswer: -2552.8645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-26 - (24 + -21)) + -44 + 21\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (n + 3*n - n)*((0 + 0 + 1)*(2 - 1 + 1) + 0 + 1 + 1 + 33 - 67 - 49) in the form c*n + a and give c.\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 15718 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22 is divided by (-2 + 8\/1)*(-3)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3 + -6 - -37)*95\/(-78). Let y = q - 562\/13. Is -78 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 354913839.\nAnswer: 3, 7, 547, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.037 + 7.237. Let z = 7.5 - b. What is the nearest to z in 0.3, 6, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -30 - -30.48. Let g = 0.08 - i. Let h = -7\/10 + 1\/2. Which is the closest to -2\/5?  (a) g  (b) 3  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-11505)\/(-118)*2\/(-6))\/(73\/(-146))\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.068 + 599.929.\nAnswer: 599.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*y + 2*y**3 + 15 + 8 + 67*y**2 - 19*y**2 - 62*y**2 in the form d*y**3 + r + t*y + l*y**2 and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 57 and 4725.\nAnswer: 89775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five halves of a century in months?\nAnswer: 27000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-2*((sqrt(72) - sqrt(72)*-2) + -2 - -2*(2*sqrt(72) + sqrt(72))))**2.\nAnswer: -3456*sqrt(2) + 93376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56*g = 62*g - 12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 7470\/29, 6, 1?\nAnswer: 7470\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -p + m + 60, 3*m + 151 = -5*p. Let u(d) = 2*d**2 + 58*d + 9. Let s be u(p). Solve 3*j = -s - 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 35230 = 108*a - 88754. Which is bigger: a or 1149?\nAnswer: 1149","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 4*w + 16 = 0, 0 = -3*g + 2*w + 3*w + 6. Suppose 3*k + 5*u - 12 = 0, 5 = 3*k + 4*u - g. Suppose 3*x + 12 = k*x. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 60712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (213*160\/25560)\/(((-102)\/(-9))\/(4\/6))?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 2*h**3 - 3*h**2 + h - 4. Let b(j) be the first derivative of j**4\/4 - j**3 + j**2\/2 - 3*j + 144. Give -4*b(k) + 3*c(k).\nAnswer: 2*k**3 + 3*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -642, -648, -654, -660, -666, -672?\nAnswer: -678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(77)*1 - sqrt(77)) + sqrt(77))\/((sqrt(66)*-1)\/sqrt(6)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**3 - p**2 + p. Let r be l(-2). Let k = 17 - r. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 522 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x\/x**(-1\/7))\/(x\/(x*((x\/(x**2*x)*x)\/x)\/x)))\/(x*x**(-1)\/x*x)**(-49))**(1\/43) assuming x is positive.\nAnswer: x**(-13\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*h - 26 = 14. Let q be (h + -3)\/((-1)\/(4\/(-2))). Let a be (5\/2)\/(q\/(-28)). Solve 3*l + 14 = 4*r, -l + a*l + 4*r = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20194, -80887, -182052, -323683, -505774, -728319, -991312?\nAnswer: -1294747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 56 - 56. Let w be (v + 2424\/(-9))\/(6\/(-108)). Is 8 a factor of w\/42 - 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1918095 and 2.\nAnswer: -3836190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 4228 divided by -4?\nAnswer: -1057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zae when three letters picked without replacement from iideiiaiz.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z + 10 + 8. Let o = 16 - z. What is the remainder when o is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7362 - -11634. What are the prime factors of q?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*v**2 + 19*v**2 + 13*v**2 in the form n*v + r*v**2 + b and give r.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -289888127*x**3 - 252097387*x.\nAnswer: -1739328762*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + -1*(sqrt(2) + sqrt(8)\/sqrt(4)) + 1*sqrt(2)*-5*-4.\nAnswer: 4 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -103914000 to the nearest one million.\nAnswer: -104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -2*d - 9. Let i(z) = -5*z - 26. Let f(o) = 8*c(o) - 3*i(o). Let l be f(-6). Let w = 9 + l. Calculate the greatest common factor of 231 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13 - -23. Suppose -3*z - l = -3, 0 = -4*z - 0*z + 2*l - 6. Suppose 5*c + 91 = 5*m - 14, -2*c - 6 = z. What is the smallest common multiple of g and m?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3 - (-3 + (0 - 9)). Let f be 1\/(16\/13432) - (-1)\/2. Calculate the highest common divisor of m and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a**3 - 20*a**2 + 4*a + 22. Let w(k) = -k**3 + 20*k**2 - 5*k - 24. Let m(q) = -5*s(q) - 4*w(q). What is the thousands digit of m(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 163*205.\nAnswer: 33415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*-38*((-192)\/6688)\/6.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + -76 - -11 - (8 + -4 + -17).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 + 5. Let s(c) be the first derivative of 3*c + 1. Let o(d) = -11*d - 5. Let i(j) = 5*j + 2. Let r(u) = 13*i(u) + 6*o(u). Give f*r(b) + 3*s(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2694 and 737?\nAnswer: 1985478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 424057 is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:18 PM and 8:11 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 7) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 minus 1883018?\nAnswer: -1882995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*2*2*sqrt(76))**2*-4*-6.\nAnswer: 466944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y + 2 = -4*w - 5, -2*y = -2*w - 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 52.39 + -51. Let j = -73.71 - -74. Let n = j - w. Round n to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 21650037, 43300076, 64950111, 86600142, 108250169, 129900192, 151550211?\n\"Answer: -2*v**2 + 21650045*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e and 2 r when four letters picked without replacement from {e: 4, n: 1, r: 3}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -6 + -6 - -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -98 - -40. Let a = -62 - p. Let x = -3.14 + 0.14. Sort a, 0.1, x in descending order.\nAnswer: 0.1, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 81 a factor of 761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 150, 372, 620, 906, 1242, 1640, 2112, 2670?\n\"Answer: 2*d**3 + d**2 + 205*d - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -z**3 - 4*z**3 + 7*z**3 + (-4*z + 1 - 1)*(4 - 4 - 2*z**2) + (-1 - 5 + 4)*(90 - 90 - 8*z**3).\nAnswer: 26*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2671049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-256)\/20 + (23 - (29 + (-14 - 1)))?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -3*l + l. Let j(c) = 3 - 1 - 4 + l*c. Let o be j(2). What is the greatest common divisor of 1 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.8, 1\/3, 0, 0.4 in increasing order.\nAnswer: 0, 1\/3, 0.4, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 99 divided by 2\nAnswer: 99\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 135872 and 784?\nAnswer: 6657728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -478 - -483. What is the smallest value in -280, 1\/8, o?\nAnswer: -280","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand o**3 - 2*o**3 + 2*o**3 + (0 + 0 - 2*o**3)*(-4 - 2 + 4) - 10*o**2 - 7*o**3 + 10*o**2.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.0732 rounded to one decimal place?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 8 = 2*a + 4, i = -4*a - 12. Solve -j + 0*j = -4*m + 13, -24 = -i*j - 3*m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 0.03, 1\/4, 2, -3\/35, 0.05 in decreasing order.\nAnswer: 4, 2, 1\/4, 0.05, 0.03, -3\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -0*f + 3*f. Suppose f*r + 158 = 4*r. Suppose r = 2*a + 33. List the prime factors of a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 125 + -72. Let t = 110 - n. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 900130.\nAnswer: 2, 5, 7, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q*q**(-1\/5)\/q*q))\/q)\/(q*q**(-1)) assuming q is positive.\nAnswer: q**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = a - 4*w + 1, 24 = 3*a - 8*a + w for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**2 - 29*d - 82. Give c(-26).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -233*w - 12 = -3*h - 229*w, -h - 2*w - 6 = 0. Which is the third biggest value?  (a) -5  (b) h  (c) 5  (d) -3\/8  (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 7, b: 7, m: 5}. Give prob of sequence bmb.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h + 3*i + 1, -7*h + 10*h + 5*i + 2 = 0. Let l be 2\/(-5) + 12\/5. Let u be l\/2*0\/1. Solve -r + u*r = h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, h: 1, k: 1, q: 1, p: 1}. Give prob of picking 2 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.253218 times 0.15?\nAnswer: 0.0379827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -33441480 divided by 72\nAnswer: -464465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q**3\/17 + 156*q**2\/17 - 818*q\/17 + 996\/17 = 0. Calculate q.\nAnswer: -83, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 87923 divided by 7993?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1245 divided by 5.\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 + 101010101001110011011101101?\nAnswer: 101010101001110011011101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/(-8) - 14403\/4. Let q = 115329\/32 + c. What is the common denominator of q and ((-808)\/704)\/((-2)\/2)*(1 + 3)?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -3.4  (b) 7  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5  (b) 302  (c) -5\/3  (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1152)\/(-672)*105\/18?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 450400 and 71275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1170 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = 2*w + 136, -5*w = -0*l - 5*l + 130. Suppose -l = -6*k - 10. Suppose -5*o + 251 = 2*i - 74, -65 = -o + k*i. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is c in 81*c**3\/2 - 585*c**2\/2 + 127*c\/2 - 7\/2 = 0?\nAnswer: 1\/9, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3.021 - -0.021. Which is the closest to -0.1?  (a) z  (b) 1  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 227819 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14 + 21. Let t(l) = -l**2 + l + 4. Let d be t(3). Let k = d + p. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -2, 476, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -26*v + 23*v. Suppose -28 = -3*s + g, -s + v*g = g - 4. Solve -6*d - s = -4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -5 + 3 - 159 - 2. Let v be w\/(-22)*2 + 3. Let r = -18 + v. What is the closest to -1 in r, 5\/2, 1\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 4*f - 4. Let u(k) = k**2 + 7*k + 14. Let s be u(-5). Calculate t(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 38 and 53770?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4054 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = 42*m + 37 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 2*x**3 - 433*x**2 + 1068*x + 456. What is g(214)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 430*o - 246 + o**4 + 264 - 432*o + 7*o**2 as a + g*o**3 + l*o + f*o**4 + b*o**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**3 - 6*f**2 + 13*f - 4. Determine l(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the first derivative of -j**2\/2 - 1. Let f(b) = 2 + 116*b**2 + 7*b**2 + 14 - 24 + 8. Give w(f(a)).\nAnswer: -123*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, x: 1, h: 1, t: 2, b: 2}. Give prob of sequence bxh.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w + 4 - 4)*(0 - 2*w**3 + 0 - 5 + 5 - 4*w**3 - w**3 + 2 - 2 + (2 + 0 + 0)*(-2*w**3 + 0*w**3 + 0*w**3) - w**3 + 0*w**3 - w**3)*(-5*w + 2*w - 6*w).\nAnswer: -117*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4704 - -7180. Suppose 7*u - c = 954. Suppose 0 = -0*w - 4*w - 20, -3*w - u = -5*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**3 - 5*u**2 + 2*u + 10. Calculate r(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**3 - 3*a**2 - 19*a + 73. Calculate the least common multiple of 1668 and u(3).\nAnswer: 6672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -35, -29, -19, -5?\n\"Answer: 2*a**2 - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.03 or 1\/224?\nAnswer: 1\/224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 + 8. Let z = 5 - l. Let v be 1*(2 + 0) - -1. Solve -v*y + 3 + z = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 10 - 50 - -23.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3071)\/(-83) - 1686\/48?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 748272 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) -0.01  (c) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(2\/13))**(-13))**(-12)*q**(-5\/4)*q*(q*q**3)\/q*q*q**(-4\/7)*q\/q**(-3\/7) assuming q is positive.\nAnswer: q**(801\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 834018 times 0.0133?\nAnswer: 11092.4394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 485 + 10833. List the prime factors of f.\nAnswer: 2, 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*p + 15*p**2 + p**2 + 18*p**2 + p**2 - 3*p**2 + 22*p**2.\nAnswer: 54*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 176.7 + 19.3. Let g = t + -196.0181. What is g rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y + 11 = 2*l, -y - 3*l - 9 = -5*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**5*w**(-5\/6)*w)\/((w*w\/(w\/w**3*w)*w*w)\/w*w*w\/w**(-1)) assuming w is positive.\nAnswer: w**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*m - 2*m. Is m + (-2 + 3)*55 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/1*(-12)\/10*10. What are the prime factors of 40*-30*(l\/(-10))\/(-6)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2961\/11 + 269. Put -4, b, 3\/2 in ascending order.\nAnswer: -4, b, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f - 4. Let l be u(-7). Let r = l + -4. Let i be 1\/(r\/((-3)\/3)). Put -0.2, i, 0.4 in decreasing order.\nAnswer: i, 0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-10)\/(-6)*(-3)\/(-4). Let z be (4\/((-16)\/12))\/((-147)\/14). Let y be 1\/(-3) + (-2)\/(-6). Which is the biggest value?  (a) y  (b) m  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-8)\/(-64) + 3550\/16.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 9835.962ms?\nAnswer: 9.835962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 476, -0.1, 0.2 in descending order.\nAnswer: 476, 0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6184444 is divided by 81?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h and 2 k when four letters picked without replacement from {h: 2, k: 11}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 64470716?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00232878892 to 7 decimal places.\nAnswer: 0.0023288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, u: 1, r: 2, v: 1, w: 5}. Give prob of sequence uv.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4254, 34045, 114908, 272379, 531994, 919289, 1459800, 2179063?\nAnswer: 3102614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 5*r - 5. Let a be 1017\/113 - 2*2 - 3 - 0. Solve 0*z - 4*z - 2 = a*p, 0 = r*p + 5*z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2\/(-14))\/((-2268)\/(-332)). Let j be ((-2)\/72*-2)\/(27\/(-30)). Let o = f - j. Which is greater: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l**4 - 41714*l**3 - 217528080*l**2 - 217486368*l = 0. What is l?\nAnswer: -10428, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y - 2*x = 10, -954969*x - 22 = 5*y - 954965*x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 723 a factor of 43479051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 196 and 112?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0.1249449 * 0.4\nAnswer: 0.04997796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h - 0*h + 36. Suppose 4*x - h = 4. Suppose -4*z - 8 = 0, -x*p + p - 4*z + 7 = 0. Solve -3*n - 32 = -p*q, 5*n = 2*q - 21 - 7 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 98123.93l in millilitres?\nAnswer: 98123930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y = 3*n + 92, n + 427732*y = 427736*y + 60 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1 and 104.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 385 and 220?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o**3 - 2*o**2 + o. Let m be n(-3). Suppose -3*b - 3 = 3*z, -4*z = -b - 15 - m. Let t = b + 9. Which is bigger: t or 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 210 and 218880.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (6\/(-8))\/(5160\/2752)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 169558 (base 14) in base 13?\nAnswer: 21a588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 15964575 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*j = -9*j - 34. Solve -j = -5*d + 9 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -d**3\/8 + 3*d**2\/4 + d\/8 - 15\/4 = 0.\nAnswer: -2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -10 - -a?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 11969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 2*t + 8. Let l = -6 - -11. Suppose -3*j = 3 + 6, l*h = 4*j + 37. Let u be p(h). Calculate the highest common divisor of u and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 546 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 33*d + 603. Let o be c(-10). Which is smaller: -0.1 or o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 721*o**6 + 80*o**2 - 11*o.\nAnswer: 86520*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 5*l**2 - 9*l + 8. Give g(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + 8. Let x(y) = -y**2 + 4*y + 5. Let o be x(u). Find the second derivative of -2*f - 2*f**2 + f + o*f**2 wrt f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 69376 - -60382. Let a = -129735.9996 + w. Let c = a + -22. Round c to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 2*k = 79860, 0 = k - 5*k + 16. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 56\/20 + -2 + (-164)\/80. Sort w, 7, 2\/11.\nAnswer: w, 2\/11, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12306742 divided by -74137.\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kususuasuukususau. What is prob of sequence ka?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Do -26\/19705 and -0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3045, -15901, -48379, -110289, -211441, -361645, -570711?\nAnswer: -848449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -106*q**2 - 87*q + 3 wrt q.\nAnswer: -212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -5 + (-40 - -45)*(-6)\/(-10) + 101. Sort u, 0, 0.5, 3 in descending order.\nAnswer: u, 3, 0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/1)\/(12\/90*-5).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 30  (b) -0.02  (c) -2.3  (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-50)*(90\/(-12))\/(195\/520)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(5 + ((-1*sqrt(1584) - sqrt(1584))*-1 - sqrt(1584) - (3 + 2 + sqrt(1584))))**2*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 858 and 54769?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 672 = 5*s. Let h = 61900 - 432346\/7. Let q = s + h. Is 1 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2786694 - -31\nAnswer: 2786725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = -4*p + 19 - 1, 0 = -5*p + 10. Let k be 1\/(q + (-20)\/12). Suppose 585 = -2*t - k*t. What is t rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1310213 (base 5) in base 15?\nAnswer: -7923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*g + 3*g - 4*g + (-2*g - 2*g + 2*g)*(-4 + 16 - 8) + 0*g - 2*g + 3*g as w*g + o and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2 - (3 + (-3)\/3). Let y = 1 - o. Is -6*(y\/(-2) - 1) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12350401 (base 6) to base 4.\nAnswer: 1202130001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.875 * 2.\nAnswer: -1.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 21\/2 of a tonne?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -238585, -243788, -248991, -254194, -259397, -264600?\n\"Answer: -5203*v - 233382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**3 - 7*u**2 + 5*u + 8. Suppose s + 6 = 4*s. Suppose -s*k - k + 45 = 0. Calculate the remainder when r(7) is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 + -5 - -3) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 5*s**3 - 33*s**2 + 18*s + 13. Is 145 a factor of u(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -172*u**2 + 6*u. Determine c(-1).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -37\/2 - -255\/14. Suppose -2*o = -0 - 8. Let u be (6*5\/60)\/((-2)\/(-12)). Sort u, i, o in ascending order.\nAnswer: i, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -50685, -50483, -50295, -50127, -49985, -49875, -49803?\n\"Answer: -q**3 - q**2 + 212*q - 50895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-69 + -18)*(-1)\/3. Suppose 4*w = -m - j, -3*m - 16 = -5*w + 3. Do m and -12 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 take away -1041.6179215?\nAnswer: 1041.4179215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3596.22424 rounded to the nearest ten?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -166*k - 896 = -54*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/12)\/(110\/198)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -71.3 + 12.3. Let h = f + 58.99974. Round h to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 4 + 98*m - 101*m + 2 - 4 + 0. Suppose 0 = 2*j + 4, -t + 4*j + 9 = j. Give o(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0*(4\/6 + -1)\/1. Suppose -15 = -5*b, r = -v - b + 1 + 5. Let g be (1 - 2\/1)*-3. Solve -v*l = -0 - g for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 26*u**2 + 43*u + 282. What is c(-5)?\nAnswer: 717","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7304 - -14852. Does 17 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -24325, -24332, -24339, -24346, -24353, -24360?\nAnswer: -24367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the third derivative of 19*c**7\/3 - 605*c**3\/3 + 598*c**2 + 2. Find the first derivative of h(l) wrt l.\nAnswer: 5320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 0 + -4 + 0 - (-13 + -141) is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 plus -23610.84?\nAnswer: -23596.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.019*-290.\nAnswer: -5.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -15  (b) 1\/3  (c) 170852  (d) 5  (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -67\/1330 and -73\/33250.\nAnswer: 33250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2945648280?\nAnswer: 2, 3, 5, 19, 41, 31511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 10\/5 + 0\/1. Let x be i\/3 - 12\/18. Sort 1, 3, x in descending order.\nAnswer: 3, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 215\/22 + -1 + -1. Let u = a - 911\/33. What is the common denominator of 119\/12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that 39*c**4 - 423*c**3 + 636*c**2 + 108*c = 0.\nAnswer: -2\/13, 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -286330479.000113 + 286330654. Let p = -174.689 + -0.311. Let h = p + l. What is h rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of r**4 + 39234*r**3 - 45027*r wrt r.\nAnswer: 12*r**2 + 235404*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 115.619 - 0.819. Let s = v - 106. What is s rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 44 and 10032.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -782, -799, -830, -881, -958, -1067, -1214?\nAnswer: -1405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -9 - g**3 - 7*g**2 + 0*g**3 + 2. Suppose -3*r = -6 + 66. Let v(n) = -n**2 - 20*n - 7. Let p be v(r). Give d(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0.25, -2\/25, 15, 0.4, -38, 5?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4158)\/(-24))\/(-11)*(-2948)\/737.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -463, -487, -481, -445, -379, -283?\n\"Answer: 15*j**2 - 69*j - 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 29851 and 8.\nAnswer: 238808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -51 + -9. Let k be 20\/(-70) + c\/(-14). What is the units digit of (-4)\/1 + (79 - k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 63675 and 41526.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 11 = -3*r, -22*f + 30*f = -4*r - 32. Suppose -p**r + 1\/3*p**3 + p**4 - 2\/3*p**5 + 1\/3*p + 0 = 0. What is p?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (17\/51)\/(10\/6).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/y**(-5))\/y*y**(2\/21))\/((y*y\/(y**2\/y))\/y)**(27\/5) assuming y is positive.\nAnswer: y**(107\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 1\/10310, 36.\nAnswer: -0.1, 1\/10310, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 - 2 - 4)*(2 + 3*t - 2) in the form m + u*t and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 168468798 is divided by 1775?\nAnswer: 1773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = 4*i - 18, 4*h - 3*i - 98 = -18. Suppose 5 = -4*a + h. Solve -c = 5*r - 17, -r - 8*c + a*c = 11 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -8*j**5\/9 + 1498*j**4\/9 + 1130*j**3\/9 - 376*j**2\/9 = 0. Calculate j.\nAnswer: -1, 0, 1\/4, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 7807311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 228090114 and 1134?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 931, 2616, 5411, 9310, 14307?\nAnswer: 20396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -7*w + 110. Let b be m(13). Suppose 10*c - 5*c = -2*x - b, -3*c = x + 12. Which is smaller: x or -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65 - 53 = 3*h. Suppose -3*d + h*d = 2. Find s such that -3*s**2 + 4*s**d + 0 - 2*s + 1 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -11*c. Let k be (2 + -4)\/1*7\/(-2). Let i(w) = -4*w + k*w + 0*w + 3*w. What is i(r(y))?\nAnswer: -66*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/13, 5, 3\/5, -1\/2, -0.2 in decreasing order.\nAnswer: 5, 3\/5, -0.2, -5\/13, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-20)\/(-8)*-1)\/(2070\/828))\/(5\/100)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2 + 0)\/(-2 + 16\/10). Let t(m) = 2*m**3 - 4*m**2 - 10*m - 7. What is the remainder when t(r) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 495.7699 kilograms to tonnes.\nAnswer: 0.4957699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s\/(s**2*s)*s**(1\/6))**(6\/17)*(s**(-2\/7)\/s)**(-28)*s**(-2\/19)*s*s**(-2\/7) assuming s is positive.\nAnswer: s**(82108\/2261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8067, -8056, -8033, -7992, -7927, -7832?\nAnswer: -7701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0003755 rounded to 5 dps?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-18)\/45)\/((-3)\/(-15))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -123 + 96 - -6 - 38\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 4128 = 7*y + 31*y + 10*y for y.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 28105, 28106, 28107, 28108, 28109, 28110?\nAnswer: 28111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2*-21*(-12)\/14. Let s = a + -17. Suppose 0 = -123*b + 62*b + 463 + 757. Which is greater: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 121274 at least 121256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -18  (b) 2\/3  (c) 5  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*w**3\/5 - 168*w**2\/5 + 324*w\/5 - 32.\nAnswer: 4*(w - 40)*(w - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -36*b**2 + 11*b**2 + 10*b**2 + 14*b**2 + 11*b to t + w*b + m*b**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 23, 6, -2, -35, 0 in decreasing order.\nAnswer: 23, 6, 0, -1, -2, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 17620 and 512?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from {a: 7, f: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 1455 + 2547 = 0. Let t = j + -280. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes after 9:45 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cyxxxxdxdcyxxxxc?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**2 + 126*p - 2289. Determine h(104).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.12 - 0.3. Let w = k - -1. Round w to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 3*c + 4. Let k(b) = b**2 + 6044*b - 103032. Let y be k(17). Let d = 0 + 0. Let x(o) = -4*o - 4 + d - 1. Give y*x(w) + 6*t(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**2 + 3*m + 4. Let c(k) = k**3 - 13*k**2 - 13*k - 10. Let y be c(14). What is x(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12949?\nAnswer: 23, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -102 + 37. Let b = u + 60. Let d be -1 - (-18 + 19 - (-254)\/(-130)). Sort b, d, 0.2 in descending order.\nAnswer: 0.2, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-1\/2)\/p**(-3\/4)*p**(-6)\/p**(-5\/4) assuming p is positive.\nAnswer: p**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1227232?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y = -3*z + 4, -2*z + 4 = 3*y - 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3702 - 3710 - 165\/(-1 - 10\/(-4))?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.65 + -0.59. Sort 3\/4, -3, n in ascending order.\nAnswer: -3, n, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 15 and 8424?\nAnswer: 42120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + 4 + (-2 - 4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (23891231\/(-39))\/(84\/(-36)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -2*g**3 - 18*g**2 - 18*g - 18. Let a be d(-8). List the prime factors of ((-1210)\/(-20))\/(a\/(-4)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -11 in -2, -4, -1, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 121 and 253.\nAnswer: 2783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 6*z**5 - 8*z**4 + z**3 - z**2 + z + 38. Let g(d) = -d**5 - d**3 - d**2 - d. Let r(o) = a(o) + g(o). What is the third derivative of r(u) wrt u?\nAnswer: 300*u**2 - 192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 643547228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yysyykppkysaabyyas. What is prob of sequence bsp?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/12)\/(74\/296)*8\/10?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000277 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 minutes before 9:23 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00134662 rounded to five dps?\nAnswer: -0.00135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 2*c**2 + 5*c - 3. Let w = -7 - -4. Let d(a) = 3*a + 1. Let v(n) = 0 + n - 2 + 3. Let q(m) = -d(m) + 2*v(m). Calculate w*q(u) - x(u).\nAnswer: -2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 264, -2, -15?\nAnswer: 264","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -149 - -167. Suppose -2*y + c = -y. What is the highest common divisor of 42 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2311 + 2311.4471. Round s to 2 dps.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 times 2.3?\nAnswer: -0.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 753697 - 746074 = 63*f for f.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*f - 0*f. Suppose 0 = -f*g + 4*v + 18, 2*g - 3*v + 0 - 13 = 0. Suppose 0 = 3*j - g*j - 6. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = -3*n - 19, p - 2 - 1 = -4*n. Does 2 divide (-1)\/n*0 + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -18 - -15. Let p = h + 7. Let g = p - 4.5. Which is the second biggest value?  (a) 5  (b) g  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3 - -15)\/(-3) - -24. Let b = a + -20. Suppose -q + 20 + 25 = 2*c, 2*q - 2*c - 60 = b. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 5\/4, 1 in ascending order.\nAnswer: -0.4, 1, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 3, w: 13}. What is prob of picking 4 w?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -6*s**2 + 12*s + 5*s**2 - 4 - 5*s**2. Let t(l) = -7*l**2 + 13*l - 3. Let u(y) = 4*t(y) - 5*w(y). Factor u(o).\nAnswer: 2*(o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -137\/337980 and -131\/180.\nAnswer: 1013940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/21 - 19\/(-7). Let j = 5 - f. Calculate the lowest common multiple of (((-30)\/24)\/(4*40\/(-256)))\/(-1 + 3) and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jghgghjhjghjjgjgj. What is prob of picking 1 h, 2 g, and 1 j?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -4\/403053 and 16\/287895?\nAnswer: 2015265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 3, a: 3}. What is prob of picking 2 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1772804 divided by -86\nAnswer: -20614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 18, 14, -2, -36, -94, -182?\n\"Answer: -t**3 + 3*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 37\/5 of a millennium?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 20930*j**2 - 355825*j + 255.\nAnswer: 5*(j - 17)*(4186*j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 2*k**3 + k**2. Let f be q(1). Suppose f*n - 576 = n. Suppose 3*j - 159 = n. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.0518 and -759.\nAnswer: -39.3162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**2\/(w*w\/(w**(-6)*w)*w))**(-39) assuming w is positive.\nAnswer: w**234","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the third derivative of -5*m**8\/48 + m**6\/120 + 309*m**4\/8 + 1853*m**2. What is the second derivative of c(o) wrt o?\nAnswer: -700*o**3 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = r + 2*r. Let x = 11 + -7. Suppose 15 - x = 5*p - 2*q, -p - 11 = 4*q. What is the remainder when r is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 2*r - 6. Let v(a) = 3*a - 7. Let o(c) = 5*l(c) - 4*v(c). What is o(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18350 < 18337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 12 = -n, -3*n - 2*i + i - 16 = 0. Let f(w) = 2*w**2 + 4*w - 5. Is f(n) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w**3\/7 + 314*w**2\/7 + 614*w\/7 - 930\/7 = 0. Calculate w.\nAnswer: -155, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a second in milliseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 270 and 18.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.03 and -41.35?\nAnswer: 41.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 - (-5)\/((-10)\/66). Let d = -15 - u. Calculate the highest common factor of 19 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1220 (base 3) to base 9.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 11 - 8 + 0*p**2 + 323*p**3 - 49*p**3 + 0*p**2 as r*p**2 + f + c*p + n*p**3 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**2 + 284*a + 14. Let m be u(0). Solve 0 = -8*x - 18 - m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 27 = -q, 83 + 2 = 4*q + 3*g. Suppose -2 = -6*y + q. What is the greatest common factor of 6 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2577, -58, 18, -12, -2 in ascending order.\nAnswer: -58, -12, -2, 18, 2577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1334 + -652. Calculate the greatest common factor of 124 and k.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (98\/(-10))\/((-7)\/35). Let u = q + -23. Suppose 5*w + 7 = 2*m + 21, w + 4*m + 6 = 0. Calculate the highest common divisor of u and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -321770722 - 1.1\nAnswer: -321770723.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (1023*w - 2102*w - 7041*w - 1950*w)*(-w**2 - 2*w**2 + w**2) in the form m + g*w**3 + c*w + v*w**2 and give g.\nAnswer: 20140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/366894 and 11\/6540.\nAnswer: 3668940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 + -1109789367\nAnswer: -1109789366.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 5140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((3*(((1*sqrt(228) - sqrt(228)) + sqrt(228))*2 + sqrt(228)))\/((sqrt(12) + sqrt(12)*2)*-6 + sqrt(12) + sqrt(588)*2))**2 + -3.\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Let p be 4 + -1 - (-13 + 15). Suppose 0 = -c + 4*u + u + p, 3*c + 3*u = 21. Solve c*q - 32 = -2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-6)\/(k\/((k**7\/k)\/k)))\/(k**(-2\/55)\/(k\/(k*k\/(k\/k**(-2))*k))))**(4\/5) assuming k is positive.\nAnswer: k**(-212\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (13592\/(-25485)*25\/2)\/((-4)\/(-6))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3466077 litres to millilitres.\nAnswer: 346.6077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = -238*p + 244*p. Suppose -5*m = 5*w, 5*m - 2*w = p*w + 40. Solve 8 = -m*x + 12 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20 divided by -31781.\nAnswer: 20\/31781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 387145, 0, -8, 2 in ascending order.\nAnswer: -8, -2, 0, 2, 387145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**2 + 9*k + 11. Calculate the remainder when 75 is divided by u(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 64\/6 + (-567940)\/188276 + 4\/242\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 343 - 5660?\nAnswer: -5318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.4?  (a) -15  (b) -12  (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0099232 to four decimal places.\nAnswer: -0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21461 (base 8) to base 16.\nAnswer: 2331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 38, 121, 262, 467, 742, 1093, 1526, 2047?\n\"Answer: n**3 + 23*n**2 + 7*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4\/5 in -0.4, 12\/7, -12580?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9647*s**2 - 853*s?\nAnswer: -19294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 830 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-16)\/8)\/(1\/(-1)). Suppose -22 = b*j - 10. Let u = j + 25. List the prime factors of u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**5)\/i*i\/(i\/(i*i**(-2)*i)*i)*(i**1)**25)\/((i*i**(2\/13)*(i*i\/i**(-3\/8))\/i)\/(i\/i**(-3\/2)*(i*i*i**(3\/2))\/i)) assuming i is positive.\nAnswer: i**(3273\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 234493800 to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 235358 is divided by 76628?\nAnswer: 5474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 8442, 8624, 8928, 9354, 9902?\n\"Answer: 61*j**2 - j + 8382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.06, -4\/5, -0.4, -24, -45 in decreasing order.\nAnswer: -0.06, -0.4, -4\/5, -24, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((((((a*a**(-2\/67)*a)\/a)\/a)\/a)\/a)\/a)\/a**(-1))**(4\/31))**(-38) assuming a is positive.\nAnswer: a**(20672\/2077)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4810326 + 4?\nAnswer: -4810322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 95005?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2471018 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 11231856131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 12030364.225 to the nearest one thousand.\nAnswer: 12030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the third derivative of 1\/24*v**4 - 1\/3*v**3 + 0 + 1\/120*v**6 + 0*v + 1\/30*v**5 + 13*v**2. Let z be (-1 - -2)\/(4\/(-8)). Give s(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10597 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: What is the least common multiple of 24528 and 193872?\nAnswer: 14152656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -532.6 - -533. Which is the biggest value?  (a) i  (b) -2  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 201 - 196. Let r(j) = j**3 - 5*j**2 + 4*j - 8. Let m = -40 - -61. Calculate the least common multiple of m and r(l).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1 - (4*3)\/3. Let x(d) = d**3 - 9*d**2 + 8*d - 5. Let g be x(8). Suppose -6*m + m = p + 6, 3*m + 3*p = 6. Sort g, w, m in descending order.\nAnswer: m, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 4*s**2 - 2*s + 2. Calculate the remainder when q(2) is divided by (-1)\/((-1)\/(-5)*-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:16 PM and 10:23 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes before 2:22 AM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 2579, 20666, 69759, 165362, 322979, 558114, 886271?\n\"Answer: 2584*k**3 - k**2 + 2*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(17))*-6 + ((-4*sqrt(17))**2 + sqrt(17))*-3.\nAnswer: -792 - 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, -832.0926, -4, -2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2\/4)\/((-1)\/(-1)). Let k = 1.605 + 16.415. Let c = 18 - k. Which is smaller: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 62, 33, -8, -67, -150, -263, -412?\nAnswer: -603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*y + 23*y + 145012. Let r = 129437\/25 + y. Calculate the common denominator of -43\/70 and r.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39*m**2 + 39*m**2 - 2*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1308\/19 - 69. Let y = -52\/209 - h. What is the second biggest value in 5, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqpqaaaaa. Give prob of picking 1 q and 1 a.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1827 is divided by 56.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-10)\/75 - 908\/(-60). Solve 18*i - 3 = h*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 33 + 42 = 0. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3290.\nAnswer: 2, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 11*n**2 + 2*n + 7. Let t(y) be the first derivative of 7*y**3\/3 + y**2 + 5*y + 13. Let p(u) = 5*m(u) - 7*t(u). Factor p(k).\nAnswer: 2*k*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*x**3 - 7679 + 7679.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add -2016.8808442 and 14.\nAnswer: -2002.8808442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*b + 5*a + 5, 0*a = 2*b + 4*a for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 175.3 + -182. Is n at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10650*g**3 + 1 + 10589*g**3 - 1.\nAnswer: -61*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/(-6) - 616\/(-264))*-18?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 1.56687 times 2\nAnswer: 3.13374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -6519832 smaller than -19559492\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 4*c**2 + 2*c + 2. Let g be 26\/(-12) - 2\/(-12). What are the prime factors of o(g)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/3)\/(41\/48216*56)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 14 - 7. Calculate the remainder when n is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 118 a factor of 128974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*w**2 - 237907 + 237907.\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -635720 > -635720?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1512 and 32551848.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**2 + 7*u - 6. Let m = -8 - -14. Let c be d(m). Solve c = -0*q + 2*q + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -552\/1883 - -2\/269. What is the closest to 2 in 0.2, 0, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b - 22*b + 26*b + 5*b**2 - b**2 + 2*b**3 - 2*b**4 = 0 for b.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 243948 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 394*c**2*w**3 - c**2*w + 72*c**2 - 338474*c*w**5 + 17*c*w - 1954 wrt w?\nAnswer: 2364*c**2*w - 6769480*c*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*j - 4715 = -8*j. What are the prime factors of j?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -35*w**4 + w**3 - 391*w**2 + 6*w. Let l(b) = -b**4 + b**2 + b. Let k(y) = -6*l(y) + z(y). Find the third derivative of k(m) wrt m.\nAnswer: -696*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the third derivative of -9*y**4\/8 + 5*y**3\/6 + y**2. Let x be (6\/18)\/((-2)\/24). Is h(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 706 divided by 2\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(255)\/sqrt(5)*-5 - sqrt(204)\/(sqrt(8)\/sqrt(2))))\/((sqrt(192) + (-1*4*sqrt(192) - sqrt(192) - sqrt(192)))*2).\nAnswer: 3*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 26 + -22. Suppose 272 = q*a - 3*c, -3*a - 3*c + 123 = -81. Is a a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2275579522.\nAnswer: 2, 43, 601, 44027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ff when two letters picked without replacement from lklkfflfkkltkorrorlk?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert d0120 (base 15) to base 6.\nAnswer: 22040020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 161*k - 346 = -31*k - 3994 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 20*t**4 - 17*t**3 + 17*t**2 - 26. Let f(x) = -7*x**4 + 6*x**3 - 6*x**2 + 9. Let j(a) = 17*f(a) + 6*g(a). Find the first derivative of j(l) wrt l.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o - 2*m - 115484, -3*o - 86649 = -202*m + 199*m. Round o to the nearest one hundred.\nAnswer: -28900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1255 and -0.11?\nAnswer: -138.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 26086 and 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 9 and 8348.\nAnswer: 75132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000054417 rounded to 7 dps?\nAnswer: 0.0000544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*m - 3*m + m**3 + 3*m)*(m - m**2 - m).\nAnswer: -m**5 - 5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*n**2*v**3 + 2*n**2*v**2 - 19156374*n*v**3 + 3*n*v**2 - 704*n - 8849*v**2 - 2 wrt v.\nAnswer: -12*n**2 - 114938244*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 201683.6, -3, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1009, 1733, 2171, 2323, 2189, 1769, 1063?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-3)\/1)\/3*8\/1. Let s be i\/(-4 - (-35)\/10) - -4. Solve s = l + 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 48 and 5607152.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.4?  (a) 3  (b) -6  (c) 0.5  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q**2 - q**2 + q**2)*(-2*q**2 + 4*q**2 - 4*q**2) + (q**2 - 3*q**2 - q**2)*(q - 3*q - 2*q**2 + 3*q**2).\nAnswer: -q**4 + 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 227182875 and 375.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -131*d - 9693 + 9955 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 134388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0\/(-5))\/((-155)\/(-155))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (((-315)\/15)\/(-21))\/((-6)\/14)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:36 AM and 1:38 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7.99991 - -8. What is f rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 284 (base 11) in base 15?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -2*q - 4. Let h(w) = -w + 1. Let x(k) = -c(k) + 4*h(k). Let s(z) = -z**2 - 12*z - 14. Let m be s(-10). Determine x(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2597.3*4.\nAnswer: 10389.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that 4*y**3 - 23608*y**2 + 31601804*y - 31578200 = 0.\nAnswer: 1, 2050, 3851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, c: 3, t: 3}. Give prob of picking 3 t and 1 c.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = -5*a + 8. Let z = a - -51. Calculate the remainder when z is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -495467*s**2 - 12012*s + 10 wrt s.\nAnswer: -990934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 2 c when four letters picked without replacement from kkkcccccckccccckccc.\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 - 2680\/(-1332)) + 0. Let b = 686\/1665 - h. What is the third smallest value in -1, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.5  (b) 41  (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -133323 or -133321?\nAnswer: -133321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -985300, -985382, -985522, -985726, -986000, -986350, -986782, -987302?\nAnswer: -987916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -1 + 5*y**2 - 3 + 2*y + 0. Suppose -17*f = -388*f + 11872. Calculate the remainder when m(6) is divided by f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/4950 and 26\/105?\nAnswer: 34650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 21.803 and 0.053?\nAnswer: 1.155559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**2 + 8*p - 4. Determine b(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -30*q + 91. What is o(5)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1, 1\/81, -2\/7, 3 in descending order.\nAnswer: 3, 2, 1\/81, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -408 - -408.0207. Round v to three dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**3\/5 + 34*w**2\/5 + 111*w\/5.\nAnswer: -w*(w - 37)*(w + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out 8860 * 13868.\nAnswer: 122870480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ryyrxlrrxxlyr. What is prob of picking 3 r and 1 l?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyyyyjjbyy?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 477338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -7*n + 20. Let d(l) = -3*l + 9. Calculate -5*d(x) + 2*g(x).\nAnswer: x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Do 191 and 569\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -56\/9 and 85\/57183.\nAnswer: 171549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 43312 is divided by 1893?\nAnswer: 1666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -p - 0*p - 278, 5 = -p. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -43 - -277\/7. Find the common denominator of -107\/78 and k.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -38667\/2 + 19335. Put -2\/7, 5, -4\/7, r, -4 in descending order.\nAnswer: 5, r, -2\/7, -4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 596040 to the nearest one thousand.\nAnswer: 596000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t - 4. Let n be s(-5). Let g be (-3)\/5*(-2 - -1). Let a = g - 4\/15. Is a < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*j + j = 22 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -32 + 15 + 13 + -4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -63 + 30. Let u = -78 - b. Which is smaller: -46 or u?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 202 = r + 136. Solve -r*n + 15 = -69*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from tjtttjjtjj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -10*((-40)\/360)\/(5\/6)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f**4\/17 - 2076*f**3\/17 + 204522*f**2\/17 - 3836524*f\/17 + 3634080\/17 = 0.\nAnswer: -1130, 1, 24, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/(-18) + 3\/(-45). Let p = -21\/2 + 10. Put l, -1\/3, 2\/15, p in ascending order.\nAnswer: p, l, -1\/3, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*t**2 - 5*t**2 + 3*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -19.6 - -20. Which is the nearest to -0.03?  (a) -4  (b) 5  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 54496994 - 4096990 = -4*c, -5*g = -3*c - 84000003. What is g rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 greater than or equal to 577575?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1\/11  (b) -17  (c) 60  (d) -0.5  (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4623.583 litres in millilitres?\nAnswer: 4623583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3158 + 0.\nAnswer: 3158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*s + 8, 11*k - 6*k = -3*s + 32. Suppose -3*l + 4444 = 4*n - k*l, -n + 1102 = 2*l. Round n to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 913901248 a multiple of 3494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z**5\/4 - 367*z**4\/4 + 8372*z**3 + 8464*z**2 = 0. What is z?\nAnswer: -1, 0, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 28\/15049 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -3*y - 3. Suppose -2*b + 6 = y*p, -4 + 13 = p - 2*b. Solve 0 = -2*w + p*d - 10 + 2, -d = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes after 1:17 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -4*v**3 + 127*v**2 + 39*v - 70. Let d(f) = 2*f**3 - 65*f**2 - 19*f + 36. Let r(s) = -11*d(s) - 6*z(s). Determine r(24).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 981.019ml?\nAnswer: 0.981019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1729 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2 - (1 + 2\/(-1)). Suppose 0 = 2*g - 11 - 5. Let u = -6 + g. Solve -14 = h + 3*v, 5*h - u*h - 4*v = -d for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 13578 and 186.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -15928, -32281, -48634, -64987, -81340, -97693?\nAnswer: -114046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 267934 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -0.305 * -4\nAnswer: 1.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/8)\/((1\/(-3))\/((-38548)\/(-3771))).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/(-14) + 120\/28. Suppose 2 = -c*x - 2. Let j(v) = 0*v + 80*v - 74*v - v. Determine j(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 4. Let q(i) = -i + 9. Let o(d) = -2*a(d) + q(d). Let j(r) = -4*r + 18. Determine -j(z) + 6*o(z).\nAnswer: -2*z - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -57.4339 to one dp.\nAnswer: -57.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 19583607179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1772822?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = 14*u - 659. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -367a (base 11) to base 4.\nAnswer: -1023012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9420.688nm to meters.\nAnswer: 0.000009420688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 47, 84, 145, 230, 339, 472, 629?\nAnswer: 810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a minute in seconds?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -3304*m - 118940. Give z(-36).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 20*q**3 - 8*q**2 - 31. Let l(y) = -3*y**3 + y**2. Give -i(g) - 6*l(g).\nAnswer: -2*g**3 + 2*g**2 + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11728\/39582*(-435)\/(-20).\nAnswer: 58\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**5)\/w)\/w*w\/(w\/(w\/(w**(-2\/7)*w)*w)) assuming w is positive.\nAnswer: w**(37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-39)\/(-546)*42\/4. Suppose 10 = 8*r - 3*r. What is the second biggest value in r, w, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*3*(2 + (sqrt(9)\/(sqrt(15)\/sqrt(5)) - sqrt(3)) + 4*sqrt(147) + -4)*-4.\nAnswer: -336*sqrt(3) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 5*x = 3*v + 5, 11 = x - v. Let i(s) = -s - 4. Calculate i(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21270751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*(sqrt(300)*-2 - sqrt(300))\/sqrt(10))\/(sqrt(30)\/((-3*sqrt(30))\/sqrt(10))))**2.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**4 + 297*a**3 + 19787*a**2 - 20085*a.\nAnswer: a*(a - 1)*(a + 103)*(a + 195)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 221114, 422480, 623848, 825218, 1026590, 1227964?\n\"Answer: g**2 + 201363*g + 19750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3047408 is divided by 761746?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.076 + -0.446. Let d = -1 - -1.03. Let o = d - u. What is the closest to -1 in o, -0.4, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9883 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 23 - 32. Let n = w - -6. Let x(t) = 2*t - 8 - 5*t + 0*t. Let p(a) = -a - 3. Determine n*x(z) + 8*p(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 27950.56 weeks to minutes.\nAnswer: 281741644.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1 and -4382.\nAnswer: -4383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 - 4*o + 6)*(0*o - 2*o + 4*o) - 33*o**2 + 20*o**2 + 67*o**2.\nAnswer: 46*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3341648490?\nAnswer: 2, 3, 5, 59, 1097, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 - -2. Suppose z = -3*y + 66 - 12. Calculate the remainder when 33 is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (4 + -1 + sqrt(1872))**2 + (-2 + sqrt(1872)*1 + sqrt(1872))**2.\nAnswer: -24*sqrt(13) + 9371","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j - 1. Let h(p) = 4 + 2*p - 4 + 3 - 5. Let l(d) = -a(d) + h(d). Give l(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -547*c*i**6 - 2*c*i**4 - c*i**2 - 6*c*i wrt i.\nAnswer: -65640*c*i**3 - 48*c*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*s + 3*y - 24 = 11*s, -s - 4*y + 23 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/((d**5\/d)\/d)*d**25)**(-4\/37) assuming d is positive.\nAnswer: d**(-92\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the second derivative of d**4\/12 - 7*d**3\/6 + 3*d**2 + 3*d. Let t = 7 + -9. Let s be 8\/3*(-3)\/t. Determine n(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -186*b**3*c*q + 5*b**3 + b*q**2 + 241*c*q**2 - 2*c wrt b.\nAnswer: -558*b**2*c*q + 15*b**2 + q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 1, a: 2, h: 2, i: 7, k: 6}. Give prob of picking 1 x, 1 k, 1 i, and 1 a.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1506 = 5*i - 5934. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 18*g**4 + 3*g**5 - 6*g**5 + 2*g**5 - 3*g**2 - 2*g**5 + 3*g**2 + (2*g**2 + 4*g**4 - 2*g**2)*(1 - 2*g - 1).\nAnswer: -11*g**5 + 18*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1 - (6 - 12) - 9. Let u = l + 30. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (29*r**2 - 28*r**2 + 2 - 26*r**2)*(-2*r - 3 + 3).\nAnswer: 50*r**3 - 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -112 - -112. Which is the third biggest value?  (a) 3  (b) p  (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4257 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1604 - 1129. Suppose 0 = -15*n - 55 + r. Solve -m - n = -8*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 52\/(-16) + 4 - (68\/(-170) + (-12933)\/180).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 592446 and 447.\nAnswer: 88274454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 594 + -556. What is the closest to 2 in m, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 21 + -13. Let z(x) = -x**3 + 8*x**2 + 2. Let r be z(y). Suppose 2*s = r + 56. Solve 2*u + 10 = 0, 0*t = 3*t + 4*u + s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -86*d + 5. Let u(b) = b + 2. Let h(i) = -5*u(i) + z(i). Let o be 4 + -2 - (-1 + 5). Is h(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g*g*g**10*g*g))**(3\/16) assuming g is positive.\nAnswer: g**(-39\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -2*p. Let c(a) be the third derivative of 19*a**4\/24 + a**2. Determine g(c(j)).\nAnswer: -38*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -305060, -610248, -915414, -1220546, -1525632, -1830660?\n\"Answer: 2*r**3 - r**2 - 305199*r + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 11*i - 1. Let d be v(1). Let k be (4\/(-15))\/(4\/d). Let m = 0.42 - 0.02. Which is the nearest to k?  (a) m  (b) -0.1  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.209796 weeks in minutes?\nAnswer: 12194.74368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-272)\/(-85) - 8\/(-10). Suppose -5*g = -c*g - 2. Let p(q) = 2*q**2 + 4*q - 1. What is the remainder when p(-3) is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = d - 22, 0 = -2*z - 1056*d + 1052*d + 82 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 289*n - 81*n**4 + 12*n**2 - 285*n - 14*n**2 as f*n + j*n**3 + m + y*n**2 + p*n**4 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 2\/9  (b) -5  (c) -0.2  (d) 1\/18  (e) 151\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.04 and -5?\nAnswer: 5.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:21 AM and 12:29 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 3587531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 7) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 43917 (base 11) in base 8?\nAnswer: 174260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1 + 0*3\/(-6). Is 0.4 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 3*x - 8 = 2, -3*i - 10 = x. Let n = 6 + -12. Which is smaller: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 2877616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -302 - 5602 = -6*c. Does 19 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a7325 (base 12) to base 7.\nAnswer: -1604105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*m**4*t**3 + 160*m**4*t**2 + 4*m*t**3 + 10*m*t**2 - 10*m*t wrt m?\nAnswer: 48*m**2*t**3 + 1920*m**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 12 - 10. Suppose -u*d + 8 = 2*d. Find the third derivative of 4*q**2 - 5*q**d + 0*q**2 + 2*q**2 + 3*q**4 wrt q.\nAnswer: 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/2 + (-2272)\/2248. Which is bigger: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/(-15)*((-52)\/7 - (30 + -38)). Put r, -0.3, 0 in ascending order.\nAnswer: -0.3, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14227208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -17414*m**6 + 5*m**5 - 2*m**2 - 5297*m - 9 wrt m?\nAnswer: -2089680*m**3 + 300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b**5\/3 + 404*b**4\/3 - 4*b**3 - 1220*b**2\/3 - 808*b\/3 = 0 for b.\nAnswer: -101, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 5*i - 10. Put 0.05, 1\/5, 0.1, i in descending order.\nAnswer: i, 1\/5, 0.1, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**3 - j**2 + 5. Let m(v) = -v**3 - v**2 + 6. Suppose -6*q = -31 + 1. Suppose 0 = -3*c - o - 22, -2*o + 10 = -4*c + c. What is c*d(f) + q*m(f)?\nAnswer: f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Let d = -3\/8 - -5\/24. What is the fourth biggest value in -4, d, 0.4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 a when two letters picked without replacement from {r: 1, y: 2, a: 1, k: 2, c: 1, l: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + 1 + -6 + 1 + 8 + 7.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -30*v**3 - 31*v + 3 - v**2 + 28*v**3 + 29*v - 5*v**4 to x + m*v**3 + w*v**4 + d*v**2 + a*v and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 484684*t**2 + 960732*t**2 - 31803*t**2.\nAnswer: 1413613*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**3 + 17*w**2 + 13*w + 25. Let n be k(-16). Let d = n - 70. Let x = -2 - -3. Solve 4*q - v - x = 0, 6 + 3 = -d*q + 4*v for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(450) + sqrt(450) + sqrt(450)*-1 + sqrt(450) + sqrt(450) - sqrt(450))*1)\/((-1*2*sqrt(120))\/(-1*sqrt(192) - sqrt(192))).\nAnswer: -120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 - 1)*(-3*x + x**5 + 3*x) - 8*x**5 + 5 + 3*x**2 + 16*x**5 - 6.\nAnswer: 6*x**5 + 3*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2427736541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 714 divided by 1786\nAnswer: 357\/893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*i - 2*i + 16*i)*(-2*i + 2*i + 2*i + (2 - 6 - 1 - 2*i)*(-6 + 2 + 3)).\nAnswer: 44*i**2 + 55*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -17 + 29. Let r = d - 12.27. Let b = 6.23 - r. Round b to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -6972  (b) -74  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 552761 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 93*(2 - 2440\/(-6)). Suppose 3*q = -2*a + 15206, 10*a + 3*q - g = 5*a. What is a rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 259*h**4 + 744 wrt h.\nAnswer: 1036*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2\/7, 1.4, -0.01, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1\/3)\/k**(3\/5)*(k\/((k**(1\/7)*k)\/k))\/(k*k\/(k\/(k*k**3)*k)))**(-1\/14) assuming k is positive.\nAnswer: k**(214\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 29*i. Let h(k) = 77*k**2 - 2. Give h(y(v)).\nAnswer: 64757*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the third derivative of -t**4\/24 - 2*t**2 - 9*t. Let i(a) be the third derivative of 0*a - a**2 + 0 - 1\/8*a**4 + 0*a**3. Determine r(i(p)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2709 + 2745. Solve 36 = 5*w + c for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*s - 48 = -4*y + 150, -2*s + 51*y + 30 = 46*y for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes before 7:16 PM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 838478673.\nAnswer: 3, 8747, 10651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 79753 (base 11) in base 13?\nAnswer: 40689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*t = -54 - 30. Let n(h) = 94*h + 62. What is the units digit of n(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4609.2 to the nearest ten.\nAnswer: -4610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 196 = 2*a + 3*h, -2*a - 2*h + 76 = 0. Suppose a = 6*j + 11. Let o = 17 + j. What is the remainder when 108 is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 - (4 - 60)\/4) + (-80 - -74). Calculate the greatest common factor of d and 4808.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 - -45330?\nAnswer: 45334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 smaller than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((12 + -10)\/((-42)\/15))\/(-1). Let f be (6\/(-90))\/(2\/(-6)). Which is smaller: f or m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3325 by -3632.\nAnswer: -3325\/3632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*4*sqrt(4032))\/(sqrt(48)\/(2*sqrt(12)) + (sqrt(44)\/(sqrt(44)\/sqrt(4)) - sqrt(4)) + sqrt(4)).\nAnswer: -96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1 and 169.178?\nAnswer: 169.178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the third derivative of 2*g**5\/5 + 11*g**4\/12 - 11*g**2. What is the second derivative of i(j) wrt j?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*l**2 - 7*l**2 - 7*l**5 + (4*l - 5*l + 5*l)*(l**4 - 2*l**2 + 2*l**2).\nAnswer: -3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -192 divided by 8766?\nAnswer: -32\/1461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p + 41 = 3*s, 67*p + 40 = 3*s + 63*p for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 887*w**3 + 3270*w + 10958613.\nAnswer: 2661*w**2 + 3270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -34*o - 196*o + 690 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6*(-10 - 24254\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*w - 24718 = 87890. Is w a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in seventeen quarters of a tonne?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 97\/2 and (-3954)\/(-330) + 2\/(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22359445523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -210354.\nAnswer: -1\/70118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in sixty-four fifths of a kilometer?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*z**2 + 3050*z - 265125.\nAnswer: -5*(z - 505)*(z - 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-1\/45)\/l*l)\/l**(4\/5) assuming l is positive.\nAnswer: l**(-37\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*p**2 - 99 + 99 + 3*p**2 - 2*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 392463, 392465, 392467, 392469?\n\"Answer: 2*d + 392461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -3*f + 4. Determine y so that -4*y**3 - y - 3*y**2 + 4*y + 3*y**f - 2*y**3 + 3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/(-3) - (-52)\/6. Let z be (r\/(-6))\/(-2 - (-10)\/8). What is the third derivative of -6*v**z - 4*v**2 - 5*v**2 + 12*v**2 + 23*v**3 wrt v?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 12 + -12. Suppose -3*t + 0 - 6 = 0, -3*q - 2*t + 719996 = i. Suppose p - q = -3*p. What is p rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8791 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 103 + -86 + (7 - 15).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 384\/96*19\/2?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29094 - 17934 = 61*v + 119*v for v.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**1)**(-21)\/(w**1\/(w**(-6)\/w*w)))\/((w*w**(1\/5))**12)**(7\/8) assuming w is positive.\nAnswer: w**(-203\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-4*408\/(-32))\/(-3)*(-10)\/(30\/(-9))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/4, 0.1, -126, -1051 in descending order.\nAnswer: 0.1, -5\/4, -126, -1051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -15*s. Let m(l) = -l + 46*l**2 + 115*l**2 + l - 114*l**2. Calculate m(c(y)).\nAnswer: 10575*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(162))**2 + (sqrt(162) + (sqrt(162) + 0 + sqrt(162) - sqrt(162)))**2 + -3 + 2*(-2*sqrt(72))**2 + 1*sqrt(72) + -1.\nAnswer: 6*sqrt(2) + 1382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -0.6  (b) -1\/24  (c) 4\/3  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 j when two letters picked without replacement from epddjqes?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 + -17 + (64 - 42)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + -2 + 5 + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*g**4 - 9*g**2 - 11*g**4 - 15*g + 9*g = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6 - 37*s**4 + 1 + 35*s**4 + (-s + 0*s + 0*s)*(2*s**3 + 0*s**3 - 3*s**3) + 3*s**4 - 32*s**4 - s**4 to f*s + l + p*s**2 + y*s**3 + i*s**4 and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = -2*h. Suppose z + 3*w - 13 = -0, -z + w - 3 = h. Let k = z + 1. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -79974 - 41704 = -166*d. List the prime factors of d.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -951\/14 or -68?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 5, t: 1, q: 2, e: 1, i: 4, g: 2}. What is prob of sequence dgd?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*v - 3*v + 4*v + (-2 - 2 + 1)*(v + 1 - 1))*(-v**3 - 3*v**3 - 4 + 3).\nAnswer: 20*v**4 + 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3326040861 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/(-6) + (-10)\/42. Let l = 4338.7 + -4338.7. What is the closest to f in l, 5, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.06 + 5.06. Let x = 9.225 + -9. Let o = 0.075 + x. What is the closest to o in -0.4, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n**5\/13 - 272*n**4\/13 + 282*n**3\/13 + 1088*n**2\/13 - 1096*n\/13 = 0 for n.\nAnswer: -137, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-82)\/((18\/99)\/(10\/(-1100)*-10))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 28\/10 + (-8)\/10. Suppose 0 = 3*t - 2*r - 6, 0 = t - 3*r - 2 - 7. Suppose t = l - 3*l. Solve -5*i = 2*v + 18, l*i = g*i - v for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.075 - 0.023. Round m to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(-4)\/y)\/y*y**(1\/6)\/y*y*y**7*y**(-10) assuming y is positive.\nAnswer: y**(-47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -64 + 18. Let q = 46.054744059 - 0.054683059. Let j = q + k. Round j to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**3 + 7*i**2 + 5*i - 3. Let h be d(-6). Let w be 460\/6 - 2\/h. Suppose 4*x - 48 = w. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 172141606 to the nearest integer?\nAnswer: 13120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -10, -c + r + 3*r + 24 = 0. Calculate the remainder when 11 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**39\/(y**(-32)\/y) assuming y is positive.\nAnswer: y**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 5046861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 7805067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 53433*j + 1923587. Determine f(-36).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.5  (b) -5  (c) 89  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.07194849645 to 5 decimal places.\nAnswer: 0.07195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3526906 or -3526889?\nAnswer: -3526906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 883 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 10737*o + 96578. Determine q(-9).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2201010 + -10?\nAnswer: -2201020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from shghhghghshhsfhshs. Give prob of picking 1 f and 1 s.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 3, 11213, -2, -3, 2 in increasing order.\nAnswer: -3, -2, 2, 3, 5, 11213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 13 in 16, 4\/5, -102, 6?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 73\/33 and ((-92)\/20)\/(12\/10)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(8\/5)*z*z**(-13)\/z)\/(z**(-6))**(-36) assuming z is positive.\nAnswer: z**(-1137\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 <= -375\/251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -38, -33, -28, -23?\n\"Answer: 5*n - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23, -13, -5, -5, -19?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -31 - -34. Factor 8*s**h + 3*s + 15*s**2 - 8 - 11*s**3 - 7.\nAnswer: -3*(s - 5)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ejzzzeejexezjueue. What is prob of picking 3 e?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -55625 (base 8) to base 10\nAnswer: -23445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 71 + 29 = 20*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -72, 1, 49 in ascending order.\nAnswer: -72, 1, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*r**2 - 2*r**3 - 4*r**2 + (-4*r**3 + 5*r**3 - 2*r**3)*(2 - 1 + 0) + 4*r**3 - 3 + 3 - r**3 + r**3 - 3*r**3)*((2 + 2 - 6)*(2 - 2 + 2*r) - 2*r + 2 - 2).\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -6320, -12505, -18672, -24821, -30952, -37065, -43160?\n\"Answer: 9*p**2 - 6212*p - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.6 + 1.6. Let r = -0.38 - -1.3. Let z = r - s. Round z to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 4868, 9684, 14500, 19316, 24132?\n\"Answer: 4816*q + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11012202222 (base 3) to base 6.\nAnswer: -1435555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/571516 and -85\/876?\nAnswer: 125162004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 62 a factor of 300611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (60648\/2888)\/(-1 - 10\/(-16))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-18)\/15 - -1)*-1)\/(9678\/(-2225940)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1037 + -1266?\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*m**2\/5 - 6086652*m\/5 + 6086648\/5 = 0. What is m?\nAnswer: 1, 1521662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 109*q**2 + 56*q + 57. Let l be d(-1). Solve 0 = -v - l + 114 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2220011 (base 3) to base 14.\nAnswer: -aaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -14 - -21. Suppose 9 = 5*c - 6. Suppose 2*t - c*r = -5, -5*t + 6 = 3*r - 13. Solve -t*o = 3 + y for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*a = -47*a + 3*r + 84, 3*r + 54 = 2*a. Solve 22*c - 15*c = 4*u + 24, 5*u = c - a for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 651379111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/(1*(-3)\/(-21)). Put -5, 3, b in descending order.\nAnswer: 3, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the first derivative of 65*p**6\/6 + 9*p**2\/2 - 47. Find the second derivative of f(i) wrt i.\nAnswer: 1300*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20420270 divided by -559\nAnswer: -36530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 minutes before 4:16 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 0, -7, -3 in decreasing order.\nAnswer: 6, 0, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14510444 is divided by 2418400?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -2, 7, -14, 3, -413 in ascending order.\nAnswer: -413, -14, -5, -2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 942a (base 15) in base 5?\nAnswer: 2000230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19, -21, -19, -13, -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(3\/2)\/(m*(m*m**1)\/m)*(m\/(m*m**(-2)))\/(m*(m\/(m\/m**(-1)*m)*m)\/m) assuming m is positive.\nAnswer: m**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 17 - 22. Suppose l = -5*f - 14, -20*l - f = -18*l + 1. Put -8, b, l in decreasing order.\nAnswer: l, b, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the second derivative of 13*s**5\/20 - 7*s**2 + 11*s. Differentiate f(q) wrt q.\nAnswer: 39*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -14*i**2 + 353*i + 9. Let q(g) = -3*g**2 + 5*g + 1. Determine j(s) - 4*q(s).\nAnswer: -2*s**2 + 333*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r**2. Let a(s) = 1031*s - 2037*s + 1058*s. Determine a(y(v)).\nAnswer: 52*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ibyi when four letters picked without replacement from byysyssiiysnsyii.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -6*s**2 - s - 3. Let m(d) = -11*d**2 - d + 1. Let g(t) = -24*t**2 - 2*t + 4. Let l(x) = 2*g(x) - 5*m(x). Determine 5*l(n) + 6*w(n).\nAnswer: -n**2 - n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -14820579 bigger than -14820568?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (16 + 18 - 50)*(-4*b**2 + b**2 + 0*b**2) to u*b + t*b**2 + h and give t.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, -2\/9, 0.102, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 7*w + 110. Let c(q) = -q**2 + 2*q + 4. Let a be c(5). What is the least common multiple of 7 and b(a)?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -2\/33  (b) -1\/18  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 758530332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000034011009 rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.23, -2\/7, 0.1, 1\/4, -2\/101?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2080)\/(-288) + (-4)\/18. Solve 0 = -p*o + 22*o - 75 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.1065 - -4.2035. Let j = w - 1.31. Sort j, 9, -3, 0 in decreasing order.\nAnswer: 9, j, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 24772496 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o - 3*s + 26, -2*o - 3*o = -4*s - 149. Suppose 0 = 4*f + l + 41, -5*f - 4*l - o = 14. Which is the third biggest value?  (a) -1  (b) -7  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(153) + 1)*-4 - sqrt(153)) + (sqrt(102) + -3*(-1*sqrt(102) + sqrt(102)))\/sqrt(6).\nAnswer: -14*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is a21 - -92?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 849*b = 156*b + 2772 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5075 divided by 4.\nAnswer: 5075\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 3*8\/48*14\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 30*a**3 - 6*a**2 + 85. Let w(c) = -2*c**3 + c**2 + 1. Let t(j) = -4*w(j) - y(j). What is the derivative of t(i) wrt i?\nAnswer: -66*i**2 + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 16 - 11. Suppose -y*c + 351 = -3*s, -5*s + 57 + 30 = c. Let o = c + -49. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 57792000 and 64113?\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1354*r + 2253*r + 2284*r + 1 + 4284*r to u + h*r and give h.\nAnswer: 7467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u + 10*x - 45 = 0, -14*u + 2*u + 17 = -8*u - 2*x + x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 251865 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -25540, -204381, -689810, -1635121, -3193608, -5518565, -8763286, -13081065?\nAnswer: -18625196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 5*t = 65, 55 = 3*b - t + 16. What is the remainder when (34 - (2 + -3))*1 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -176 - -182.55. Let n = 4.9153 - -0.4847. Let w = h - n. Round w to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the first derivative of -t**6\/45 + t**5\/120 - 61*t**3 + 301. Let b(m) be the third derivative of w(m). Calculate b(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14)\/91 - (-59)\/130.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n**3 - 5*n**2 + 3*n - 4. Calculate o(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes after 11:04 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*z - z**2 + 10 - 2*z - 10 to the form d*z**2 + k*z + s and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*k + 11 + 11 + 4 - 26.\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 7, -5, 2, 53.84?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3\/2 + 1353\/82. What is the greatest common divisor of c and 13302?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10 + 17. Let x(a) = 9*a**2 + 7*a**2 - 11*a**2 + y*a**2. Let b(s) = 3*s. What is b(x(o))?\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8435 by -5.\nAnswer: 1687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -2*p + 254. Let y(m) = -11*m + 1522. Calculate -34*l(o) + 6*y(o).\nAnswer: 2*o + 496","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 264 - 3*o + 5*o - 401*o**3 + 684 + 178 + o**4 wrt o?\nAnswer: 12*o**2 - 2406*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**3 + 11*o**2 - 9. Let l be b(-11). Let n be (2\/(-2 - -1))\/(l + 6). Let z = -5.9 + 0.9. What is the biggest value in n, z, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 447\/(-4)*(1110\/(-45) - 10)?\nAnswer: 2, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 4, g: 1, c: 8}. What is prob of sequence cc?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -2962*i**2 + 3*i - 14. Let f(w) = -1975*w**2 + 2*w - 9. Calculate -8*f(a) + 5*p(a).\nAnswer: 990*a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 51*x**3 + 5*x**2 - 2*x + 18 wrt x?\nAnswer: 306*x + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 3*w. Let f(c) = 9444408*c. What is f(z(o))?\nAnswer: 28333224*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in eleven halves of a millisecond?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v - 113*h = -117*h + 48, 43 + 32 = 5*v + 5*h for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -413.248 - -0.248. Let x = -390 - a. Put x, -3\/2, 1 in ascending order.\nAnswer: -3\/2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q - 299 + 74. Suppose -q = -4*p + p. What is the remainder when p is divided by (-2)\/(-22) + (-3724)\/(-539)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + f = -119, 5*f = r - 10 - 9. Suppose -5*w + r + 51 = 0. Calculate the remainder when w is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1 + -11. Let h be 6\/(-15) + (-4)\/y. Let p be h\/1 - (0 + 0). Solve p = -4*t - 4 - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 350070 and 31350.\nAnswer: 365823150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -1478, -2\/75, 6?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -200 in 68, 3, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 3 - 2)*(-3*o**2 - 4*o**2 - 2*o**2) - 3*o**2 + 0*o**2 + 5*o**2 + (-1 + 0 + 0)*(-3*o**2 + 0*o**2 + 4*o**2) to i*o**2 + s*o + d and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -34.11 times 90?\nAnswer: -3069.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oi when two letters picked without replacement from {i: 3, r: 5, o: 3, e: 7, f: 1}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -660903\/113 <= -5848?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2 + 0. Suppose -8 = -b*i + 2. Let z(t) = -t**2 + 4*t + 3. Determine z(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence in when two letters picked without replacement from nlrilniilliriilriri?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 15 + -14.98. Let h = x - -0.08. Let s = -35\/3 + 12. Which is the nearest to 2\/5?  (a) s  (b) 0  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 32 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/(-12) + 94\/6. Let o = f - 34. What is the common denominator of (13\/6)\/(10\/o) and 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 + (-32 - (1 + 9 + (-1 - 0)))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*s - 7 - 85 = 68 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 185 - 181. Let y(q) = 3*q + 3. Let r be y(v). Calculate the highest common factor of 120 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 139220.7 to the nearest 100.\nAnswer: 139200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 4 - 1 = -3*f, -43 = -2*o - 5*f. Let z(n) = -5*n + 42. Let u be z(o). Which is bigger: -16 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -90*l**2 - 7*l + 7. Let d(b) = -45*b**2 - 4*b + 4. What is 7*d(o) - 4*x(o)?\nAnswer: 45*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -23*x - 14 + 14 + 0*x. Let p(j) = -j**2. Determine a(p(m)).\nAnswer: 23*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1280598?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*a**3 - 4448*a**2 + 2152*a**2 + 97*a**3 + 2295*a**2.\nAnswer: 81*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 + 16. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6343, 12690, 19037, 25384?\nAnswer: 31731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the third derivative of -w**6\/120 + w**4\/24 + w**3\/3 + 535*w**2. Determine l(-4).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 288 and 4091168.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:03 PM and 6:39 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 427 - 460. Let f = -0.22 - 0.78. Which is smaller: n or f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -6421 - -23?\nAnswer: -6376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 74 + -14. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h - 2. Let p(c) be the first derivative of c**2 - 5*c - 1. Let l(d) = 3*p(d) - 8*s(d). What is the remainder when l(-8) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) 9  (b) -3  (c) -59.4162\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -26 - -32. Suppose n - h*n + 57 = 4*a, -4*n + 27 = -3*a. What is the remainder when 44 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-5)\/c*c*c\/c**6*(c**(-1))**7)\/(c\/(c*c\/c**(4\/11))*c\/(c\/(c**(-6)\/c*c))*c*(c\/c**(2\/5))**6) assuming c is positive.\nAnswer: c**(-823\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 4.708548l?\nAnswer: 4708.548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x + n + 2, 0 = 3*n - 4*n - 5. Solve 0 = -x*m + 1 + 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 23, 61, 151, 317, 583, 973?\nAnswer: 1511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**2 + 4*w. Let x be k(-4). Let i(l) = -l**2 + 7*l + 3. Let t be i(7). Let s = x - t. Let a(v) = v**3 + 3*v**2 - 2*v. What is a(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d + 5*d - 3*d)*(-2 - 1 - 5 + (3 + 2 - 3)*(1 + 0 + 0)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(((-672)\/3584)\/(1\/(-2)*2))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -647399.3428 rounded to the nearest 10?\nAnswer: -647400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 528\/90 - (4 + 2)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x - 2 + 2 + (x + 0*x + 0*x)*(2 + 0 + 0))*(-7 - 5*x + 7).\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/(-9)*(-9 - 6). Let q = z - -13\/2. Sort 0.5, q, -1\/7 in decreasing order.\nAnswer: 0.5, -1\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*x**4 + x**2 - 5*x**4 + 3410*x + 5 - 3410*x to p*x**4 + s*x**3 + f + z*x + v*x**2 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/4 of a meter in centimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q**2 - q**2 + 5*q**2)*((-2 + 3 + 4)*(79 - 33 - 4*q - 47) - 1 + 1 + q).\nAnswer: -38*q**3 - 10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 26\/8 + 20\/(-16) - -13. Let y(h) = -h + 10. Let o be y(7). Find the third derivative of 13*k**2 - 6*k - p*k**o - 12*k**2 + 6*k wrt k.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/(-3) - (-20)\/3. Let k be (-12)\/6*3\/2. Let d = j - k. Calculate the remainder when d is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t + 7 - 1. Let h be t\/(1\/(-4)*2). Suppose -9*p + h*p = -265. What are the prime factors of p?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1 - (-5)\/(-5))\/(-1). Solve -3*n + 2 + 1 = r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = -3*o + 18. Is 95 - (2\/8)\/(o\/8) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000000111110111 - 1100011101?\nAnswer: 111111011011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 107*s - 9 = 104*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -10\/37313?\nAnswer: -10\/37313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*d - 5*y + 20, y = 4*d - 46 - 19. Solve d = 4*r + 5*w, -3*r + 5*w + 25 = r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-4)\/10)\/((-5)\/25). Suppose 3*b - h = -0*h - x, 4 = -b + 2*h. Suppose 0*s - 2*s - 36 = -5*k, b = k + s - 3. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 + h + 32*h - 6*h**2 - 33*h.\nAnswer: -6*h**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*t = 3722 + 42278. What is the greatest common factor of 320 and t?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36 = 4*g - 42*f + 39*f, f = -4*g + 26*f + 124 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*f**2 - 15225*f + 60820.\nAnswer: 5*(f - 3041)*(f - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1216 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8747153*a + 8747153*a - a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -104\/6243?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = -11*n + 8*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -3*p + 19. Let v be l(5). Determine r, given that 7*r + 6*r - v*r**2 + 11*r - 36 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -167 + 178 - (0 + 1411\/68)?\nAnswer: -39\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 176159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**2. Let b(i) = 41 - 6 + 23 - 4*i + 12. Let d(r) = -6*r + 104. Let m(a) = -8*b(a) + 5*d(a). Calculate m(o(k)).\nAnswer: 2*k**2 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 u when two letters picked without replacement from {u: 3, c: 5, y: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 8384281973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the first derivative of -r**3\/3 + r**2\/2 + 19*r - 1. Let m be f(0). Suppose -p = -4*x - m, 5*x + 18 - 1 = -p. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -15*p + 99. Let z(c) = c**2 - 24*c + 69. Let v be z(21). Calculate the least common multiple of a(v) and 93.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1086240 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2521 + -2518. Suppose 0*y + 12 = 2*y - 2*a, y - 5*a - 18 = 0. Solve j - u = -5*u + 11, -y*j = -3*u - q for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 divided by 6?\nAnswer: 47\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n**5\/5 - 158*n**4\/5 + 336*n**3\/5 + 8*n**2\/5 - 192*n\/5 = 0. Calculate n.\nAnswer: -2\/3, 0, 1, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v and 1 w when four letters picked without replacement from {w: 9, v: 11}.\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g**5 + 127842*g**4 + 1361964738*g**3 - 383520*g**2 - 4085638557*g + 2723929494 = 0.\nAnswer: -21307, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 22 = -2*i, 7*i = 2*i - 4*h - 13. Let z be 4\/10 - 3\/i. Let x be (-1)\/(-1*39\/(-6)). Which is bigger: x or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(-4) + (-139388)\/20. Let q = h + 6976. Calculate the common denominator of ((-53)\/3 - -3) + 2 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 2 = -b, w + w - 2*b = -4. Let o = 3.7 + -4. Let p = -0.2 - -0.4. Sort o, w, p.\nAnswer: o, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 + 4*d - 3 + 6*d - 5*d - 6*d + 6*d - 3*d - d + (-2*d + 0*d + d)*(1 - 3 + 3) + 0 - 3*d + 0.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -88 + 81 - (-7 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -2017*j + 131756. Calculate t(65).\nAnswer: 651","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 19, b: 1}. What is prob of sequence nnn?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 12 - 140*h - 24 + 136*h + 12. Let t(d) = 2*d**2 + 440. Determine t(w(o)).\nAnswer: 32*o**2 + 440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o and 1 w when three letters picked without replacement from {o: 2, c: 8, w: 1, l: 9}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 26.67 - 1.27. Let z = p - 23. Let m = 2.399951 - z. What is m rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(2\/3))**(-42)*(f*f\/f**5*f)\/f*f\/((f*f*f\/f**(1\/4))\/f) assuming f is positive.\nAnswer: f**(-127\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.081546 * -0.0043.\nAnswer: -0.0003506478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4092623 is divided by 73?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 41048 and 4887605884.\nAnswer: 20524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -40, -27, 240?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*(((s\/(s**(-1\/6)*s))\/s)\/s*s)\/s)\/((s*s*s*s**12)\/s))\/((s**(2\/35)*s)\/(s\/s**(-5\/4))) assuming s is positive.\nAnswer: s**(-5729\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f = 2*h, 121*h + 2 = 5*f + 117*h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 - -633?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**3 - 5*y**2 - 3*y - 8. Let w be n(6). Let b = w + 2. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 774 = 149*m + 178 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-59)\/(1298\/33))\/((-30)\/(-52)).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 14 - -251035114?\nAnswer: 251035132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/a**(2\/17))**(-27)\/(a**7)**(2\/77) assuming a is positive.\nAnswer: a**(-4489\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 2 = 1. Let r be (a\/1)\/((-8)\/(-56)). Is -8 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2 - 257?\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 2, e: 1, r: 2, n: 1}. Give prob of sequence erss.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the second derivative of y**7\/168 - y**6\/3 - 21*y**5\/40 + 5*y**4\/6 + 41*y**3\/24 + 4*y + 28. Suppose a(t) = 0. What is t?\nAnswer: -1, 0, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10.81476 millilitres to litres.\nAnswer: 0.01081476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -7*b**4*d - 41288*b**3*d + 4428474*d wrt b?\nAnswer: -28*b**3*d - 123864*b**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-16)\/(-2))\/(1\/(-6)). Let j be (-20)\/h - (-2)\/8. Let m be (1\/6)\/(10\/8). Which is the third smallest value?  (a) m  (b) -0.2  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**2 - 5*q + 5. Let k(g) = 3*g - 3. Let b(f) = -5*k(f) - 3*m(f). Let x(s) be the third derivative of s**5\/30 + 5*s**2. Calculate b(x(u)).\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1008 and 33201.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the third derivative of 761*j**5\/30 - 2*j**2 - 7. Let d(n) = -n**2. Calculate d(z(b)).\nAnswer: -2316484*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2362057 and -252.\nAnswer: 2361805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**3 - 23*q**2 - 173*q - 17. Is p(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ooq when three letters picked without replacement from pspopapspoopq.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 7*d. Let o(v) = -765 + 765 - v. Determine i(o(l)).\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*t = -5*t + 3*t + 51 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 divided by 3200580?\nAnswer: 1\/355620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -584658 divided by -194886.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 5*f = 23, -1 = -n - 3*f + 8. Let h(u) = -u**2 + 3*u. Determine h(n).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9821?\nAnswer: 7, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the third derivative of 0*z + 1\/40*z**6 + 1\/2*z**3 + 0 + 0*z**5 + z**2 + 0*z**4. Differentiate k(p) wrt p.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.8 from 0.212.\nAnswer: -0.588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*b - 75607 - 28514 = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2545.64526 rounded to 1 decimal place?\nAnswer: -2545.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -86, -3, 4, 1 in descending order.\nAnswer: 4, 1, -3, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0574556217 to 4 dps.\nAnswer: -0.0575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*z - z + 3*z)*((z**2 - 5*z**2 + 2*z**2)*(7 - 13 - 5) - 2*z**2 + 6*z**2 - 3*z**2 - 2*z**2 + 2*z**2 - z**2 + (3 - 3 - 2*z)*(-3*z + 0*z + 5*z)).\nAnswer: 36*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -40 + (-8 - -12 - -11)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y - 7. Suppose -5*f = -3*l + 24 - 4, -f = -3*l + 16. Suppose 90 - 60 = l*s. Let z(v) = -6. Calculate s*n(w) - 7*z(w).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.4+-1.3277\nAnswer: -0.9277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-11)\/(-5) - 1*(2 - 0). Find b, given that 0*b - u*b**3 - 2\/5*b**2 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that o**2 + 1413*o + 97820 = 0.\nAnswer: -1340, -73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(70)*-2)\/sqrt(10) + (sqrt(70)\/(1*sqrt(40)))**2.\nAnswer: -2*sqrt(7) + 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 19\/268161?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 63 + -63. Suppose c = 29*n - 24*n. Suppose n = -5*p + 2*p + 12. Solve s = p*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (25\/(-375)*-60)\/(1*((-1)\/(-1))\/11).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 3.5804745 seconds?\nAnswer: 0.00099457625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 105103 and 1037.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n - 8. Let k(p) = -p**3 - 9*p**2 + 10*p - 16. Let i be k(-10). Let r be d(i). Let g(w) = w**3 - 7*w**2 - 6*w - 1. What is the units digit of g(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*q + 2*q - 4*f = -1392731, 5*q + f = 1392719. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*d**2 - 5*d**2 + d**2)*(-2 + 2 - 1 + d).\nAnswer: -17*d**3 + 17*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 40 and (49 - 1)\/(8 + (-66)\/11)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1156055?\nAnswer: 5, 19, 43, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 1 + 3*n**4 + (-3*n**2 - n**2 + 2*n**2)*((3*n + 2*n**2 - 3*n)*(-1 + 3 + 0) - 21 + 6*n**2 + 21).\nAnswer: -17*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/76986 and 169\/630.\nAnswer: 384930","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Is 6790063 at most 2\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 600293 is divided by 17151.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 1, 4, -0.3 in increasing order.\nAnswer: -3, -0.3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -212 - 101010?\nAnswer: -101222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (2 + (2 - (0 + 1)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*u + 2*u + 6 + 2*u**2 - 8*u to f*u**2 + i + r*u and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4982, -18, -5, 0, 5, -1\/8 in descending order.\nAnswer: 4982, 5, 0, -1\/8, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-14)\/4)\/(7\/(-14)). Let x(s) = 6 + 4*s**2 - 23*s**2 + 9 + h*s + 9 + s**3. What are the prime factors of x(19)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 2*q**3 + 21*q**2 - 13*q + 28. Suppose -9*u - 77 = -2*u. What are the prime factors of l(u)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**2 - i. Let z(a) = -5*a**3 - 6*a**2 + 5*a. Suppose 3*b + 3 = 0, -5 = -3*k - 5*b + 8. Calculate k*x(l) + z(l).\nAnswer: -5*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((6\/(-18))\/(2\/(-114)))\/1. Let a = m - 57. Is a at least as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2924\/209 - 252\/19. Solve -54\/11*r**2 - k - 48\/11*r = 0 for r.\nAnswer: -2\/3, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2627.4378 months to years.\nAnswer: 218.95315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*t - 310 = 284. What is the greatest common factor of 22 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 93\/32 and (-11)\/11 - (195\/96)\/(-1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 123 and 12?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -12, 29, 110, 231, 392?\n\"Answer: 20*w**2 - 19*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 5040*j + 473. What are the prime factors of k(6)?\nAnswer: 30713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 27*p**2 - 12*p - 12. Let n(t) = 11*t**2 - 5*t - 5. What is 5*l(v) - 12*n(v)?\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 572 a factor of 567460608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1 + -1 + (-30)\/(-15)*1. Let p be (-10)\/4*(-4)\/5. Solve -p*q + 2 - 4 = y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 4 = -8, 0 = 2*a + x - 9. Suppose 66 = 2*o + o. Solve -21 = -4*u + 4*t + a, 4*t = 2*u - o for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q + 3*q - 4*b + 18, -b - 106 = -4*q. What is the remainder when q is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5969 or 5744?\nAnswer: 5744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8433, 16929, 25427, 33927, 42429?\nAnswer: 50933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-6*4\/42)\/(19\/(68761\/94))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2569141\/330 + 38916\/5. What is the common denominator of x and 77\/62?\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = w**2 - 3*w + 3. Suppose 0 = -3*v - k + 18, -2*k = 3*v - 4*k - 18. Suppose -r + 3*r - v = 0. Let x be p(r). Solve x*s = -5 - 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s**4 - 55*s**2 + 90*s - 40 = 0. Calculate s.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 504360 divided by 3?\nAnswer: 168120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6*(0 + 2 + -3). Let j = -3 - c. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = -31*l + 32*l + 15, 4*l = 0. What is the third biggest value in -0.2, p, -13, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3940*w**3 - 3399*w**2 wrt w.\nAnswer: -23640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -1e8 (base 15) to base 3\nAnswer: -121102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**3 - 2*t**2 + 2*t + 4. Let i be r(5). Let j = i + -84. Suppose -q + 786 = j*y + q, -2*q = 3*y - 474. List the prime factors of y.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*p - d - 18, -74*p - 3*d + 5*d + 3*d = -58*p - 48 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-469203)\/(-12) - (-4)\/(-16). Suppose 10900 = 2*v - o. Round v to the nearest one thousand.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 5*v + 84 = 0, 9*n - 4*v = 7*n + 156. Is n\/(-111) + 11009\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**1)**40\/((h\/(h\/((h\/(h*h**(1\/3)*h))\/h)))\/h)**(-33)*(((h**7*h)\/h)\/(h*h**(3\/8)))**(2\/17) assuming h is positive.\nAnswer: h**(-4715\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/(-7)*-1*3 - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -653 - v + 653 + 2*v**2 - 3*v**3 + 29*v**5 + (5*v**2 + 8*v**5 - 5*v**2)*(-3 + 2 + 0).\nAnswer: 21*v**5 - 3*v**3 + 2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 55497 = o + 836, 4*o - 168999 = -3*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 9*l**2 + 822*l - 1279. Calculate z(-93).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 39\/14 and -15\/619.\nAnswer: 8666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 92 = -4*t, 0 = 4*t + 4*f - 0*f - 108. What is the remainder when 92 is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -53*(-34839)\/3339*1\/(-7)\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 592*b**3 + 3*b - 267*b**2 - 3*b + 744*b**2 - 2 - 478*b**2.\nAnswer: 592*b**3 - b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, -4\/275, 3\/5 in decreasing order.\nAnswer: 3\/5, 2\/7, -4\/275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 776 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/6 and (0 + (-3)\/6)*182\/15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -23*n**3 - 3*n**2 - 48*n + 48*n + 233 - 222 to g*n + y*n**3 + u*n**2 + r and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/(-5))\/((-78)\/(-130)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -3*a**2 + 37*a - 8. Let m be r(12). Let k(c) = -2*c**2 + 6*c + 5. Let w be k(m). Let i(u) = u**2 - 2*u - 3. Determine i(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 28 - 19. Suppose 0 = 6*y - i*y + 12. Suppose -5*j = -11*j + 12. What is the least common multiple of j and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -145218*t + 145253*t = 2590 for t.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0  (b) -3136  (c) -0.5  (d) -4\/5  (e) -3.5  (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -541*j + 2634 = -538*j. Let y = j + -559. Calculate the highest common factor of 116 and y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 27  (b) -5  (c) -2\/3  (d) -1\/31  (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -3*z**2 + 21*z - 9. Let a(l) = -l - 8. Let h be a(-15). Let k be w(h). What is the smallest common multiple of (3\/k)\/((-2)\/60) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**3 - 12*d**2 - 23*d + 10. Let c be r(15). Suppose -4*m + 4*y + 420 = 0, 2*y + 126 = -2*m + c. List the prime factors of m.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 626220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3052831406?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 2793, 5452, 8037, 10512, 12841, 14988?\n\"Answer: -6*d**3 - d**2 + 2704*d + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 842?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -139726 divided by -2261?\nAnswer: 7354\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 993215 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 12) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 151 - -10?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/((-3)\/(1*(-6)\/27))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 3 + 6 - 4*r - 4. Let q = -4 + 1. Suppose -153*z + 71*z = 82. Let t(g) = g - 1. What is q*t(n) + z*v(n)?\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (53 + 2317786\/(-43731))\/(5\/(-45))\nAnswer: 1\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5491994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -1a91 (base 16) to base 12\nAnswer: -3b29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2986*f**6 - 1835*f**2.\nAnswer: 358320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/18)\/(((-12)\/(-3))\/(-12))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00008557 rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8410 and 174.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 532 and 5054?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (8 + (-125)\/15)\/(2\/(-6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/4)\/((-10)\/(-1680)*6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 27*v**3 - v**2 - 25*v + 18. Let o(g) = 18*g**3 - g**2 - 17*g + 12. Let k(r) = 5*l(r) - 7*o(r). Is k(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7114 + -7041. Which is the biggest value?  (a) x  (b) -8\/3  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-836136)\/(-17696))\/((-27)\/48).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7175831 and 3964.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-93)\/434*42\/(-4)*4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -9*m**3 - 5*m**2 - 2*m + 7. Is w(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 7, 6, -45, -170, -393, -738, -1229?\n\"Answer: -4*m**3 - m**2 + 30*m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1469 - 1307.7. Round j to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**2 + n + 3. Let p be k(4). Suppose 5*x - p + 3 = 0. Suppose -7*s + 6*s = -1. Solve -x*m + 20 = -5*t, m - 4 - s = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2179 + -2158. Calculate the remainder when 251 is divided by b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 196 and 4032?\nAnswer: 28224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:51 AM and 11:21 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*b - 6*b + 8*b)*(-17*b + 50*b - 13*b + 102 - 16*b) as a + g*b + x*b**2 and give g.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 81313033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1417921.\nAnswer: 67, 21163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yii when three letters picked without replacement from {i: 2, y: 1, l: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o and 1 g when three letters picked without replacement from iiiiiovgvgivioniio.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37030410 is divided by 37030397.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 586 is divided by 44.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 12*w**2 - w. Let g(i) = -i + 4. Let c be g(3). Determine f(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-15 + 7)*(-649)\/4 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r - 458. Let m(w) = -w + 465. What is -5*m(k) - 6*o(k)?\nAnswer: -k + 423","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -8195, 14, -0.5, 2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:47 PM and 4:13 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**0)**(-2\/13)\/((j*j*j*j**(-8\/5)*j*j)\/j**(-4)) assuming j is positive.\nAnswer: j**(-37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 = -4*y + 198. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2783 or 2101?\nAnswer: 2101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 8 + 8 = 0. Suppose -s*r = 10 - 2. Is 3\/r*16\/(-6) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (1 + 2 + sqrt(425) + -1)**2 + sqrt(425) + (sqrt(425) - (-5 + -2*sqrt(425))) + (4 + (sqrt(425) - sqrt(425)*2) + sqrt(425))**2.\nAnswer: 40*sqrt(17) + 449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve l - 2*u + 3 = 0, 5*u - 8 = -3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -956 - 617 = -143*i for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 75*h**2 + 14639*h + 2734. Calculate n(-195).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + -3 + 10 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 7*l - 2. Let z(c) = 23*c - 6. Let m(w) = -10*o(w) + 3*z(w). What is m(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -5*d + 3 - 9 + 7. Let a(t) be the first derivative of 3*t**2 - t - 2. Calculate 4*a(j) + 5*i(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-6)\/10)\/((-1)\/35). Let j = k - -16. What is the remainder when j is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-7) + (29 - (-4088)\/(-98))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1741428 and 176?\nAnswer: 76622832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -202020002 - -12?\nAnswer: -202012220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 239 + -238.5. Let d = 9.8 + -10. Suppose 2*r - 20 = -3*r. Which is the second smallest value?  (a) r  (b) d  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*r = -12*r. Suppose -16*n + 14*n + 1106 = r. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 58809 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: Solve 71*i + 28865 = -614*i - 273*i - 24783 for i.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-10)\/(-4)*41976\/495. Let f(h) = 2*h**2 + 5*h + 3. Let t be f(-3). Suppose -o = 2*u - t*u. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dxfdxdnxxfxdxx. What is prob of picking 1 n and 1 d?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 - 1013113?\nAnswer: -1013123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the first derivative of y**5\/5 - y**3\/3 + y - 7. Let p(t) = -t**4 + 6*t**2 - 19. Let f(s) = 6*d(s) + p(s). What is the derivative of f(v) wrt v?\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -19916.3866 and -2?\nAnswer: 39832.7732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in -5, -0.3, 0.5, -0.41?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**2 - 806*t + 162409.\nAnswer: (t - 403)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3\/17  (b) 19\/9  (c) 2  (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -5 + 3 + 1 + w**2 - w - w. Let a be n(3). Suppose 0 = 2*y + 2*f + a*f + 699996, 4 = 4*f. What is y rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by -1382860\nAnswer: -3\/1382860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {u: 1, j: 3, b: 4, k: 1, e: 6}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y + 2. Let w be l(0). Suppose -u - o = o - 15, w*u + o - 18 = 0. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -5, 2, 32 in increasing order.\nAnswer: -5, -2, 2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 5  (b) -2\/145  (c) 2  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -2604258, -5208515, -7812772, -10417029?\n\"Answer: -2604257*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 5416*a - 7. Let y(z) = -9*z - 1. Determine i(w) - 7*y(w).\nAnswer: 5479*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -5*s**2 + 12*s - 4. Let k(f) = -f**2 + 3*f + 12 - 7 - 6. Let p(r) = j(r) - 4*k(r). Let h(l) = -43*l. What is h(p(n))?\nAnswer: 43*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4000471*k**3 - 1333486*k**3 - 1333489*k**3 - 1333483*k**3.\nAnswer: 13*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(2) - (sqrt(2) + ((sqrt(2) - sqrt(50)) + sqrt(2) - sqrt(2)))) - (sqrt(2) + -1)**2*1) + -4.\nAnswer: -7 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 27a2d (base 14) to base 12\nAnswer: 488a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by 1667\nAnswer: -5\/1667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 8018349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-30)\/(-198))\/((-62)\/341)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 2*s**2 + s + 8. Let h(b) = -b - 3*b**2 + 2*b**2 - 8 + 3. Let r(t) = 8*h(t) + 5*v(t). What is the remainder when r(2) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 27 and 14008473.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 64 + -61. Let s(r) be the second derivative of 0 + 4*r + 1\/4*r**4 + i*r**2 + 3\/2*r**3. Factor s(k).\nAnswer: 3*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 less than -255832329?\nAnswer: -255832328.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 10*h**3 + 5*h**2 - 46*h + 186. Determine b(3).\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d\/(d*d**2\/d*d*d))*d)\/d**(-2\/3))\/((d*d**7*d)\/((d\/d**(-3\/4)*d)\/d*d)) assuming d is positive.\nAnswer: d**(-7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, n: 2, u: 4, t: 1}. What is prob of picking 2 n and 1 u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p - 4. Let v(c) = -3*c - 12. Let j(d) = -7*t(d) + 2*v(d). Does 2 divide j(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**3 - w**2 - w + 11. Suppose 4*h = 2*h. Let n(j) = -j**2 - 68*j + 370. Calculate the remainder when v(h) is divided by n(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24 - 24 + 94*k**2 + 71*k**2.\nAnswer: 165*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((j\/(j\/(j*j**(-4)*j)*j)*j)\/j*j)\/j)\/(j\/(j*j*j**(-4)*j)))\/(j\/((j\/j**(-1\/3))\/j))**(1\/6) assuming j is positive.\nAnswer: j**(-46\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 0.245532 decades?\nAnswer: 29.46384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -136 or 1835?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8*-2 - (-242 + 230)) + -20.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the third derivative of 2*u**7\/105 + u**6\/20 + u**5\/30 + 20*u**2. Factor g(l).\nAnswer: 2*l**2*(l + 1)*(2*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 39777870 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 18c64 (base 15) to base 7.\nAnswer: 453313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the second derivative of -v**4\/12 - 22*v**3\/3 - 242*v**2 + 32*v + 2. Factor c(x).\nAnswer: -(x + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 4111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -55\/943 and -64\/483?\nAnswer: 19803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -191\/103230 and -19\/18.\nAnswer: 103230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from ppppquuqppqpqp.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 465*y + 18603. What is r(-40)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2564?\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1413, 2847, 4287, 5733?\nAnswer: 7185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 141, -1, 330, -5, 3 in descending order.\nAnswer: 330, 141, 3, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5675\/16 - -492733\/1392. Find the common denominator of -27\/134 and l.\nAnswer: 11658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 80700 rounded to the nearest one thousand?\nAnswer: 81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*o + 0*o - 2*o)*(-2*o**3 + 3*o**3 + 0*o**3) + (2*o + o - 4*o)*(-2*o + 2*o + o**3).\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.346 - 0.054. Let k = -0.07 + -16.93. Sort s, -2\/9, -5, k in descending order.\nAnswer: -2\/9, s, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1236 - 31853.959.\nAnswer: -31854.0826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-1)\/(2\/56))\/(57\/190*-5). Factor 0 - i*n**3 + 0*n + 98\/3*n**4 + 8\/3*n**2.\nAnswer: 2*n**2*(7*n - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 60 - 59. Let m = 388\/7 + -443\/7. Calculate the common denominator of m and (384\/(-392))\/(c\/(-7)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 638 is divided by 305?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-42)\/98*16\/(-24)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 28\/275 and -109\/4098820.\nAnswer: 20494100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -20 - -12. Let o be ((-6)\/t)\/(1\/4). Suppose 2*i + o*h + 8 = 0, -3*i + h + 10 = -0*h. Solve 3*y - 7 = i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -185.7 - -186. Which is the nearest to 0?  (a) 4  (b) l  (c) 3\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 13*s**3 - 2*s**3 - 3*s**2 - 3*s**3 - 7*s**3 + 3 - s.\nAnswer: (s - 3)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j + 5*h - 10 = 0, -40 + 30 = 2*j - 5*h for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the second derivative of -h**7\/42 + 11*h**4\/12 - 95*h**3\/6 + 9*h + 6. Find the second derivative of x(d) wrt d.\nAnswer: -20*d**3 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (32\/(-46))\/(-2763 - -2765).\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 236, 1907 in decreasing order.\nAnswer: 1907, 236, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -43*a + 49. What is the tens digit of g(-19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 4*h - 26 = 2*r, 2*h = -4*r + 28. Let y(a) = -3*a**2 + 2*a + 6. Let m(f) = -2*f**2 + 2*f + 5. Let g(k) = r*m(k) - 5*y(k). Factor g(j).\nAnswer: j*(3*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*z - 3*z + z + (38 + 44 + 61)*(0 + 0 + 2*z) + 2*z + 1 - 1 + (-4*z + 3*z - z)*(-2 - 1 + 1) + 3 - 3 - z.\nAnswer: 289*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 85421741\/5 <= 17084348?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 46846, 46729, 46536, 46267, 45922, 45501, 45004?\nAnswer: 44431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, p: 2, v: 4}. What is prob of sequence pp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6967, 6966, 6965, 6964, 6963, 6962?\nAnswer: 6961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + u = 390, 0*u - 396 = -3*w + u. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -0.2, 315, -0.4, -3 in ascending order.\nAnswer: -3, -0.4, -0.2, 1, 315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t + 5*t - 16. Suppose 0 = -5*w - 3*u + 35, w + 0*u - 14 = -t*u. Sort w, 8, 0, -1.\nAnswer: -1, 0, w, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 30996 and 732672?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -9 + (15 - 1290\/135) and 59\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 0.1, 1\/16 in descending order.\nAnswer: 0.1, 1\/16, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 8*d**3 + 1 - 12*d**3 + 19*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8295 + 8294.5. Which is the fifth smallest value?  (a) p  (b) 0  (c) -6  (d) 0.2  (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5743103 is divided by 49084?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12 (base 6) to base 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -40060 divided by -6\nAnswer: 20030\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -4*l - 15. Let f(y) = -y - 4 + 13*y**2 + 9 - 15*y**2 - 3. Let r be f(-2). Let d be j(r). Let q(p) = 4*p - 1. Give q(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-315)\/(-20) - 3\/(-12). Let x(l) = -l**2 + 4*l + 20. Let n be x(w). Let t = -37 - n. Is 27 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3258137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 241233 - 241221.99964. Let s = -11 + a. What is s rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 + 10. Let c be 5\/(-2)*6\/(-5). Suppose 3*i - 4 = -t + 2*i, -2*i = -5*t - 8. Solve t = c*x + l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**2 + 6*a - 3*a**2 + 0*a**2 + 9 + 2*a**2.\nAnswer: (a + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 10*g = 15. Suppose g*f - 3*d - 93 = 2*d, 0 = -5*f + 3*d + 139. Is 22 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -4*x + 21. What is the remainder when 162 is divided by t(-5)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -785 - -808. Calculate the highest common factor of 368 and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -131101 and 168.\nAnswer: -22024968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 582.9935731 to zero dps.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 81523 + -5788035\/71. Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 62*1\/(-2) + -1. Let k = 3 + g. Let u = k - -51. What is the highest common factor of u and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32 = -24*z + 136 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**3 - c. Let y be s(-1). Let g = 19 - 9. Suppose -y*o + 37 = 2*k + k, -3*o + g = k. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 296*z**5 - 10179*z.\nAnswer: 5920*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*p + 105 - 353363*p**3 + 353362*p**3 + 3*p.\nAnswer: -p**3 + 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -28 + 199. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3147 is divided by 780?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 1, -3, -135, -643, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 64445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2 + -2 - -1*(-5 + -3). Let z = 24 + v. Calculate the highest common factor of 60 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -10857493440 to the nearest 1000000.\nAnswer: -10857000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8947\/210 - 1781\/42. Suppose -3*i - 9 = -g, -5*g - 5*i + 3 = 38. What is the biggest value in v, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 4*b**2 - 4*b - 1. What is v(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 34*b + 33*b - 65*b + 35*c - 130, -3*c = -12 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 2*w + 14. Let m be u(-6). Let h be (m*-2)\/(2 - 4). What is the second derivative of 2*r**2 - 14*r - 7*r**2 + 9*r**3 + 5*r**h wrt r?\nAnswer: 54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 477 - 223. Let y = -1271\/5 + h. Which is the closest to -3?  (a) -1\/4  (b) -4  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 2*g**2. Let m(s) be the third derivative of -s**4\/12 + 6*s**2. What is m(x(z))?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11*-1*56\/44.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -122 - 4*s**2 - 213 + 335.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, a: 14}. Give prob of sequence va.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d + n + 64, 48 = 3*d - 2*n - 2*n. Suppose 3*b = 303 - 297. Solve -3*s = -5*g - 2, 0*g + d = 3*s + b*g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = 3*y - 371 - 822, 0 = y - 3*a - 395. Calculate the highest common factor of y and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.0935 times -146\nAnswer: 159.651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -2*j + 27. Let b be l(8). Calculate the greatest common factor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -52.81 - -52.6. Which is smaller: l or -95?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -808, -819, -844, -889, -960, -1063, -1204?\nAnswer: -1389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.14294 less than 6339?\nAnswer: 6339.14294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -89 = -2*b + 3*q, 7*b - 139 = 4*b - q. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*k - 1638 + 1618 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 0.05, 2\/17, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (18\/(-4))\/(-9 - 234\/(-24)). Let w(s) = -s**3 - 8*s**2 - s - 5. Let q(c) = -4*c**3 - 33*c**2 - 3*c - 19. Let m(p) = 2*q(p) - 9*w(p). Determine m(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*c**2 + 2*c**2 - 13*c**2 + (2 - 2 - c**2)*(1 - 4 + 4).\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-9 - -7) + -2 - (2 - (0 + 1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18\/(-15))\/((-16)\/10)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 + 4 + 1)*(3*c**4 - 3*c**4 - 3*c**5).\nAnswer: 15*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d - 5. Let t(c) = 31*c**3 + c + 7. What is p(k) + t(k)?\nAnswer: 31*k**3 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -495942*i**3 - 401448*i + 2 wrt i.\nAnswer: -2975652*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 11) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.7657516 and -1.080658.\nAnswer: -1.8464096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is i in i**4 + 148944629*i**3 - 148944630*i**2 = 0?\nAnswer: -148944630, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -405 + 409. What is the lowest common multiple of b and 110?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes before 4:32 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1699, 1627, 1557, 1489, 1423?\nAnswer: 1359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1225, -1231, -1239, -1249, -1261, -1275, -1291?\nAnswer: -1309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -618 - 1686 = -9*k. Calculate the highest common divisor of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2442 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1 - (0 + 2))\/1. Let c = j + -5. Let z = -4 - c. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.2 >= -5017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 13806593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 3*m + 4*m = 9, 0 = -3*y - m + 16. Solve y*l - 4*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ujkjjuj. Give prob of sequence kj.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12613 (base 10) to base 7.\nAnswer: 51526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**3 + 5*f**2 + f + 3. Let j be w(5). Let l(h) = 2*h**3 - 2*h**2 + 3*h + 3. Let s be l(3). Suppose j*p = 12*p - s. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.1 - -0.1. Let f be 1*4 - 4*(-65)\/(-156). Which is greater: f or s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 215 = 66*v - 70 - 441 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 665 + -663. Suppose s - 8 = -p*o - 6, -o + 1 = -5*s. Factor -4\/7*x**2 + 0 + 2\/7*x**4 + s*x - 2\/7*x**3.\nAnswer: 2*x**2*(x - 2)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5347603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the first derivative of -m**6\/1080 + m**5\/45 - 2*m**4\/9 - 35*m**3\/3 - 4. Let t(r) be the third derivative of x(r). Factor t(y).\nAnswer: -(y - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c**3 + 6*c**2 - 5*c + 2. Let a be r(5). Let i(l) = -14*l**3 - 3*l**2 - 6*l - 4. Let p be i(-1). Factor -21 + 12*m - 3*m**a + p - m**2.\nAnswer: -4*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) -2\/359  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/35)\/((-24)\/(-12))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w\/((w\/w**(1\/8))\/w))\/w)**(14\/9) assuming w is positive.\nAnswer: w**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the second derivative of -206*k**7\/21 + 2*k**6\/15 - k**5\/10 - 617*k**4\/4 + 4*k + 14. Find the third derivative of i(u) wrt u.\nAnswer: -24720*u**2 + 96*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -9 and 2.1934.\nAnswer: -6.8066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the third derivative of j**4\/6 + j**3\/6 + 2*j**2. Let w(o) = -3*o - 2. Let x(r) = -3*k(r) - 2*w(r). Is x(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 118*c - 188*c + 97*c.\nAnswer: 27*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1679698, -6719025, -15117982, -26876569?\n\"Answer: -1679815*y**2 + 118*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**2 - 13*q + 14. Let n be k(-14). Suppose 11*u - 794 - 174 = n. Calculate the lowest common multiple of 132 and u.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 416019890 divided by 2?\nAnswer: 208009945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 76120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1420 and 2130.\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -12*k**2. Let v(b) = 4*b**2 + 5. Calculate y(v(z)).\nAnswer: -192*z**4 - 480*z**2 - 300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 8.79892 centimeters?\nAnswer: 87989200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 9445652 and 3276?\nAnswer: 9442376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 297472658 to the nearest integer?\nAnswer: 17247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30399 is divided by 15009.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.658668 weeks in nanoseconds?\nAnswer: 1003162406400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6 + 14. What is the remainder when -4*14*(-5)\/20 - 0 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 613 - 119 = -494*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:58 AM and 4:46 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 21781715 plus -9?\nAnswer: 21781706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111 - 1?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the third derivative of p**7\/5040 + p**6\/360 + p**5\/60 - p**2. Let b(h) be the third derivative of x(h). Let v be 3*(1 + 1\/3). What is b(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2*15\/12*34. Let j = 3 - 2. Suppose f + 3*p + j = -p, 0 = 5*f + 2*p - o. List the prime factors of f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 15  (b) -0.02  (c) -1  (d) -7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the second derivative of 3*w**5\/100 + w**4\/5 - w**3\/10 - 6*w**2\/5 + 5*w - 3. Factor f(b).\nAnswer: 3*(b - 1)*(b + 1)*(b + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 18164, 36267, 54320, 72323, 90276?\n\"Answer: -25*h**2 + 18178*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/(-10) + (-936)\/(-60). Let c(d) = -31*d + t*d + 19 + 16*d. What is the units digit of c(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 2 = 6. Let t be ((-1)\/(-1))\/(j\/20640). Let i = t - -72277\/14. What is the common denominator of i and 87\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -451\/42 + 61\/6. Let p = -588 + 612.1. Let r = 24 - p. Is m >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -297 + 504. Suppose -2*r - b = -q - 0*r, 1035 = 5*q + 5*r. List the prime factors of q.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1380*s = -111*s + 136*s - 12195 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 353086?\nAnswer: 2, 53, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 582\/873*3\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6545a74 (base 11) in base 2?\nAnswer: 101011110111111001001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y**2 + y**2 - 5*y**2)*(-2*y**2 + y**2 + 0*y**2)*(-3190 - 76*y + 3190) + 0*y**2 - 2*y**5 + 4*y**2 - 2*y**2.\nAnswer: -154*y**5 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**2 + 9*q - 8. Let f be s(4). Suppose f*u - 64 = 8*u. Suppose -3*m = -2*m - u. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**2\/6 - 109073*w\/3 + 363560.\nAnswer: (w - 218136)*(w - 10)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -195.818 + 196. Let o = t - 0.682. Suppose 3*c - 4 = -7*p + 3*p, 3*c - 2*p + 20 = 0. Sort 5, o, c in ascending order.\nAnswer: c, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 244\/5 - 49. Let u = -0.07 - 0.33. Let l = u + 0.5. Which is greater: l or x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h and 1 z when four letters picked without replacement from hhhzhthhhhhhhhhhhhh?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(2\/15)\/f**8)**(3\/7)*((f*(f**6*f)\/f*f)\/f*f*f*f*f**(-3\/8))**(-2) assuming f is positive.\nAnswer: f**(-3167\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of 52711 and -0.0223.\nAnswer: -1175.4553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-58)\/7 + (-60)\/(-105)*14. Let u = 3 - 2.9. Which is the biggest value?  (a) f  (b) -2\/15  (c) 0.2  (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9 times 2214?\nAnswer: 1992.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1841 + 194 = -b + i, 4*b + 4*i = 6588. Let x = -1037 + b. Round x to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -3*y + 5. Let x be b(-3). Calculate the highest common factor of x and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -2*f**2 + 5*f + 76. Let x be b(-5). Let y = -10 - -6. Sort y, 5, x in increasing order.\nAnswer: y, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1880)\/658)\/(144\/(-56)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from bbbbggbggbb.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.0285 - -0.13. Round d to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {f: 1, k: 2, a: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6336 and 17882568?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -2*y - 6. Let l be p(-5). What is the common denominator of 5\/((-50)\/68)*50\/8 and (-42)\/l*(-14)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1316726 (base 8) in base 12?\nAnswer: 15901a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = -4*t - 7*y, 6*y - 2*y + 6 = -2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9670928 - -11629072. Round p to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the first derivative of -3 - v + 1\/3*v**3 - 3\/2*v**2. Let o be j(4). Solve -o = -n - 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -20 - -125?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1 - -223?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that -2*c**4\/5 - 12396*c**3\/5 - 1182792*c**2\/5 + 4892396*c\/5 - 3697206\/5 = 0.\nAnswer: -6101, -101, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r**3\/7 - 24*r**2\/7 - 69*r\/7 + 90\/7 = 0 for r.\nAnswer: -3, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*x**3 + 31*x + 33 + 44*x + 8 - 99*x + 22*x to the form c*x**2 + y*x**3 + o + n*x and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 18\/9497 in 7, 1\/6, 8?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -919 + (8 - (7 + -8)). Let i = v + 911. Solve -14 = -3*f + i for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -2063, -1609, -1101, -539, 77?\n\"Answer: 27*r**2 + 373*r - 2463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 55283 (base 13) to base 9\nAnswer: 254512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggo when three letters picked without replacement from lxxgggxxwlwgggxxxo.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**3 - 9*t**2 - 10*t + 3. Let o be b(-7). Let d be (-2 + (-6)\/(-4))\/(3\/(-822)). Suppose 0*f - 44 = 2*j + 2*f, 5*j - 4*f = -d. Are o and j unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 103 - 16. Let t = 42 - l. List the prime factors of (-2)\/(-5) - 7452\/t.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -2, 27 in ascending order.\nAnswer: -4, -2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, o: 8, a: 1, u: 4, s: 1}. Give prob of sequence has.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20791657, 41583315, 62374973, 83166631, 103958289?\nAnswer: 124749947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**3 + 10*r**2 - 10*r + 16. Let y be g(6). Which is greater: 96 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -3\/311, 7, -3, 2\/3, -2 in increasing order.\nAnswer: -3, -2, -3\/311, 2\/3, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -85, -11, 0 in decreasing order.\nAnswer: 4, 0, -11, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -18588*o - 55760. Calculate x(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(325) - (1 + sqrt(325)))*-5 + -5*(0 + sqrt(325)))*-1)**2.\nAnswer: -250*sqrt(13) + 8150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/b**(-1)*b**1\/b*b*((b*b**(-1\/7))\/b)\/b*b\/(b**4*b*b))**(-36) assuming b is positive.\nAnswer: b**(792\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 - 14 - (-1 - 3) - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 32*t = 10*t - 2111906. List the prime factors of t.\nAnswer: 31, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 138*c - 379*c - 45*c**2 - 221*c**2 wrt c?\nAnswer: -532","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that 2*t**2\/21 + 130*t\/3 + 908\/21 = 0.\nAnswer: -454, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -63*o + 341. Give u(17).\nAnswer: -730","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -384063 (base 9) in base 11?\nAnswer: -149842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 3 = l, -w = 3*w + 5*l - 30. Solve v = -2*a + 5, 3*a + v - 35 = w*v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uquuuquuuuuu. Give prob of picking 1 u and 1 q.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrhd when four letters picked without replacement from {r: 5, d: 1, q: 2, t: 1, h: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 48*n - 37. Let r(g) = g - 8. Determine 6*r(m) - w(m).\nAnswer: -42*m - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/(((-3)\/(-12))\/((-1)\/4))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3\/1*5\/(-25). Let x be (-144)\/135*(-25)\/22. Let f = x - 6\/11. Sort f, q, -0.2, 5.\nAnswer: q, -0.2, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 + 13 + 5*k)*(11 + 44 - 4 + 26).\nAnswer: 385*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -110.707 to 1 dp.\nAnswer: -110.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:45 PM and 3:40 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 14287004200 to the nearest 1000000.\nAnswer: 14287000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7 + 1 - -15) + -9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in -1, -2628, 2, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 11*(-4 - (-4 - 1)). Suppose -5*z + 4*m - 3 = -n, 2*z - 4*m = -4. Calculate the greatest common divisor of z and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -76 - -13 - -45 - -19\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 0*n = 5*l + 20047, l + 20027 = 2*n. Let b be 2\/(-14) + n\/7 - -1. Suppose -3*d + 299 = t, 3*d = 5*t + 2*d - b. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 33.706 - 36.706. Sort 5, -0.031, x in descending order.\nAnswer: 5, -0.031, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c - 1. Let a(u) = u + 6. Let v(t) = -2*a(t) - 4*r(t). Let f be v(6). Sort f, 2, 0.\nAnswer: 0, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 78750000 rounded to the nearest 1000000?\nAnswer: 79000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1*(3 + -3 + -2). Does 10 divide ((-29)\/5)\/(h\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 39 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*m**3 + 41616*m - 28*m**3 + 97*m**3 - 33*m**3 - 816*m**2 = 0 for m.\nAnswer: 0, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 457, -2, 1, -4, 4, 10.\nAnswer: -4, -2, 1, 4, 10, 457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -9945\/19 or -524?\nAnswer: -9945\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 1871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:30 PM and 2:36 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*i + 5*y + 3 = 37*i + 34, -4*i - 8*y = 96 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 310 divide 232468826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -86 + 86 + 0*p**4 - 3*p**3 - p**4.\nAnswer: -p**3*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-66)\/(-77) + (-6116)\/308\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**2 + 8*m + 10. Let q be b(9). Let t be (q - -2) + (-1)\/(-3 + 4). Factor 0 + 6 - 6*o**2 + 6*o**2 - 2*o**t - 5*o + o**3.\nAnswer: (o - 3)*(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q**4\/7 + 1680032*q**3\/7 + 352731108956*q**2\/7 - 4939964412768*q + 121043247908814 = 0.\nAnswer: -420057, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 714\/3198 + (-35 - (-19522)\/559)\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 126753300?\nAnswer: 2, 3, 5, 140837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -2*s + 62297. Let g(x) = x + 58. What is f(g(z))?\nAnswer: -2*z + 62181","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**3 + 7*z**2 - z - 8. Let v be q(7). Suppose -j + 0*j = -2. Calculate the common denominator of (603\/(-12))\/(v\/j) and 79\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 33\/293 and -45\/4307393.\nAnswer: 4307393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the first derivative of -5*q**4\/4 + 115*q**3\/3 - 315*q**2 - 7549. Find h such that x(h) = 0.\nAnswer: 0, 9, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2316 = 24*h - 35580. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that 5*n**2 - 5*n - 10 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -m + 3*m - 186*m**2 + 12417*m**3 - 12418*m**3 in the form x*m**3 + q*m**2 + j + n*m and give q.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 80\/(-48)*21\/(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 174.9285 - -0.0715. Let x = -174.9 + s. Which is smaller: -0.0395 or x?\nAnswer: -0.0395","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -127 by -687.\nAnswer: 127\/687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 2*h**3 + 26*h**2 + 78*h + 2. Let b be s(0). Suppose -6\/7*n**2 - b*n - 4\/7 = 0. What is n?\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -2*h + 1705, 0 = 4*h + 46*n - 45*n - 3425. List the prime factors of h.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**3 - 5*b**2 - 8*b - 11. Let u be p(-6). Suppose -m + 39 = -4*f + 8, -3*m + 2*f + u = 0. What is the second biggest value in -5, -4, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h**3\/5 + 25154*h**2\/5 + 16388208*h\/5 + 48938184\/5 = 0.\nAnswer: -618, -3, 13198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((4 + 0 + sqrt(171) + 1)**2 + (1 + -2*sqrt(171))**2 + (sqrt(171) - (2*sqrt(171))**2)*6).\nAnswer: -16115 + 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (152\/77 + 3 - 123\/(-16072)*-56) + -10\nAnswer: -60\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -23, -8, 19, 64, 133, 232?\n\"Answer: i**3 + 8*i - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/((m\/((m**(-5)\/m)\/m)*m)\/m))\/m**(-1\/4))**(-16\/3) assuming m is positive.\nAnswer: m**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**2 + 12*i + 16. What is b(20)?\nAnswer: 656","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the second derivative of -13*d**3\/2 - 5*d**2\/2 - 5033*d. Calculate o(-3).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -5*u. Let f(l) = 31*l. Determine 6*f(n) + 39*k(n).\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.994 to 1 dp.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 5*(1 - -2)\/3. Suppose 2*s - 88 = -3*s + 4*t, -d*s - 5*t = -70. Solve -5*w - 5*o + 15 = 0, 3*w - 2*o - s = 2*o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3.152 and -0.23.\nAnswer: 0.72496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d + 2. Let b be w(-7). Suppose 4*g + 13 = z, -4*z + b = -z + 3*g. Suppose z*j = -15, -4*f = 4*j - 3*j + 11. Put 4, 5, f in decreasing order.\nAnswer: 5, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 29860933?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 - -251?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -5*u. Let d(q) = -9*q. What is 4*d(a) - 7*m(a)?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -157\/51534 and -67\/382824?\nAnswer: 2679768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(5) + -3 - sqrt(270)\/sqrt(6).\nAnswer: -5*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*v + 8 = -2*n + 13*v, -2*n + 32 = 9*v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/9, -107, -85, 1\/5, -28 in ascending order.\nAnswer: -107, -85, -28, -2\/9, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert b26bc (base 16) to base 10.\nAnswer: 730812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 2*t**2 - 63*t - 492. Let x be b(38). Factor -4\/3*n**x + 2\/3*n + 2\/3*n**3 + 0.\nAnswer: 2*n*(n - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19\/(-57) - 2\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 601834?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*f**4 - 48*f*t**2 - t**2 + 416 wrt f.\nAnswer: 12*f**3 - 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 14077, 28335, 42605, 56887?\n\"Answer: 6*r**2 + 14240*r - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -30 - -21. Let f(m) = m**2 + 12*m + 40. What are the prime factors of f(v)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1741 - -1737. What is the nearest to -1 in -0.5, -2\/5, y, 1\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -25*s - 14. Determine d(7).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 2*i**2. Let a(g) be the first derivative of -17*g**2\/2 + 9. Calculate h(a(r)).\nAnswer: 578*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**2\/7 - 32298670*k\/7 - 4614096.\nAnswer: 2*(k - 16149336)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -32 + (2 - ((-8 - -1 - 1) + 14)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1 * 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -4*c + 7. Let j(k) = -2*k + 3. Determine 3*a(v) - 7*j(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 268878, 268907, 268932, 268953, 268970?\nAnswer: 268983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 406 divide 292282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 510*s**2 + 28*s - 36. Let i(g) = 102*g**2 + 5*g - 7. What is 11*i(p) - 2*z(p)?\nAnswer: 102*p**2 - p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 1  (b) 30  (c) 1\/3  (d) 4  (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (7 - (-1 + 4)) + 0 + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (76\/57)\/(4\/6 + -1). Which is the smallest value?  (a) 5  (b) 0.2  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 418 - 421. Let y = -0.289 + 0.089. Put 0, 9\/2, y, r in descending order.\nAnswer: 9\/2, 0, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3869 and 2809?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 20333.8 + -20334. What is the biggest value in 0.4, 0.2, y, -920?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1628713*m + 374 = -1628702*m for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -l - 4*l + l + 0 - l + 0 + (-l - l + l)*(-2 + 5 - 2) + 1 - 2*l - 1 + 0 + 0 - 2*l - l + 0*l + 0*l - 1 - l + 1.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -10 - -15. Suppose 0 = -5*k - 3*h + 74, -68 = -s*k - 0*h - h. Calculate the remainder when (-264)\/(-7) + (-2)\/(-7) is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.02 + 54.02. Let o = -54 + l. What is the second biggest value in o, -2, -5\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the second derivative of 0 - 1\/12*b**4 + 1\/30*b**5 + 0*b**3 + 10*b + 1\/6*b**2. Let w(k) = 0. Calculate k.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 - -1. Solve -w*k - 24 = 5*m, -3*k = 5*m + k + 28 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 (base 6) in base 15?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1944\/7 - 60\/7*v**2 - 2\/7*v**3 - 594\/7*v = 0.\nAnswer: -12, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 740*h**2 + 2821.\nAnswer: 1480*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 247, 5, -554, -2 in descending order.\nAnswer: 247, 5, -2, -554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that 4*i**2 - 89415628*i + 178831240 = 0.\nAnswer: 2, 22353905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/60 of a day?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 8*b + 5. Let m be (35\/5 - 4) + -3 + 0. Suppose m = 52*k - 42*k - 90. What is the remainder when r(6) is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -19 + 26 + (4 - (7 - (-4 - -7))) - 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 792827385 divided by -2463.\nAnswer: -321895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 73361.81ml to litres.\nAnswer: 73.36181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-442)\/(-216) + (-4)\/16 and 438*7\/3024 - (3 + -2)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from bdhhbhhhdhdhhhdddd.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-24)\/(-60) - ((-116)\/(-10))\/(-1). Suppose -6*a + 231 = -4*a + 5*m, -4*a + 5*m = -417. Calculate the greatest common divisor of c and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:40 AM and 3:28 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -11\/546 and -25\/182.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*t**5\/3 + 3343*t**4\/3 - 1689764*t**3\/3 + 230223962*t**2\/3 - 113846746*t\/3 - 114690793\/3 = 0. Calculate t.\nAnswer: -1\/2, 1, 217, 727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 - 3. Let u be (4 + -3)*(x + 4). Suppose -3*w - 13 = -l, 30 = -5*l - 0*l - 4*w. Sort l, 5, u in increasing order.\nAnswer: l, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - -9) + -15 + -1 + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**3 + 14*b**2 + 15*b + 25. What is p(-13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 - (20 + -51) - (6 + (-4 - -3))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1.96 and 39954115912.\nAnswer: 39954115913.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 21449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.4, -3, 491, 0, 1, -171?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 16759 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 8663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (55*t**2 - 10*t**2 - 2*t - 3 + 26*t**2)*(14*t - 15*t + 389 - 281) as s*t**3 + p*t + l*t**2 + m and give p.\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*o - 6*o - 2*g + 1910, 5*o - g = -2395. What is the remainder when (-581)\/(-3) - o\/(-288) is divided by 72?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(-156)\/399 - (-50)\/475?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 707*f**3*s**3 + 2373*f**3*s*v**3 + 7*f**2*s**3*v**3 - 3*f**2*s**2 + s*v**3 wrt s?\nAnswer: 4242*f**3 + 42*f**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -273841 + 273833.58908. Let q = 7.4 + a. What is q rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 1 - 5 = 0. Suppose 2*d = 3*j + 6, 2*j = -d + x + 1. Factor k**3 + k**5 - 3*k**5 + 6*k**4 - 7*k**d + 2*k**2.\nAnswer: -2*k**2*(k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13227*b - 1455227 - 427528 = -4704*b for b.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1304 divided by 326?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 33945 divided by 219?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}