{"text":"Question: Multiply 4 and -319.651.\nAnswer: -1278.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 4*b = -416, 5*x + b = -205 + 860. Let l(u) = u**3 - 13*u**2 + 53*u - 575. Let d be l(14). Calculate the highest common factor of d and x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58*q = w - 56*q - 18, -2*w - q + 15 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6752 - 4*t + 3364 + 3392.\nAnswer: -4*t + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*c - 8 + 8 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -100 (base 2) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -15, -8, 10630, -5 in decreasing order.\nAnswer: 10630, -5, -8, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 2*o - 47. Let u(s) = s - 14. Let f(x) = -d(x) + 4*u(x). Let q(m) = -12*m. Calculate f(q(g)).\nAnswer: -24*g - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 18\/(-4)*(-8)\/12. Solve c*v = 6*v - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -17137 + 160286. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -2*n**3 + 4*n**2 + 74*n + 98. Determine g(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -2\/139, -0.1, -5\/4, -2\/67?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 3*q + 5*q = -50, -4*q + 98 = 5*g. Suppose l - 12397 = -g*l. Is l a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -24750 + 27534. Calculate the least common multiple of 174 and i.\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1652*p**3 + 1877*p**3 - 1668*p**3 - 2*p**2 in the form x*p**2 + a*p + d + w*p**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3724723 and 655?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 6*x**3 - 8*x**2 + 4*x - 1. Calculate t(3).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 206620*c + 271167 wrt c?\nAnswer: 206620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -115, -26, 2, -13.\nAnswer: -115, -26, -13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 698 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (16\/20)\/(2\/(-5)). Suppose 1 = 5*r - l, 8*l - 5*l - 12 = 0. Suppose -3*g + r - 3 = -f, -2*g - 12 = 2*f. Sort 3, 4, b, f in ascending order.\nAnswer: f, b, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-172)\/10 + (-31 - (-4056)\/130). Sort 5, m, -3\/2, 0.2, -2\/7.\nAnswer: m, -3\/2, -2\/7, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8.4 + -4.7. Let r = -3.805 + -0.195. Let v = l + r. Put 2\/7, 5, -16, v in decreasing order.\nAnswer: 5, 2\/7, v, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-2)*(-107 + 114)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*x**3 + 3*x**2 + 53*x**3 - 16*x**3 - 3*x**2.\nAnswer: 43*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -47707928 divided by -2?\nAnswer: 23853964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 278639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0 * 638013.03\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 462*j**5*r*u - 2*j**4*u**3 + 2*j**2*r*u - 4*j*r*u - j*u**3 - 599*j - 2 wrt j?\nAnswer: 27720*j**2*r*u - 48*j*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -62*r + 51. What is the tens digit of u(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1011000 (base 2) to base 6\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 5 + 7*w**2)*(-3 + 4 + 0)*(-w - w - w) + 4 - w**3 - 4.\nAnswer: -22*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14692*q - 14660*q - 14691*q + 44080*q.\nAnswer: 37*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 4, 0, 10, 46, 120?\n\"Answer: 2*i**3 - 5*i**2 - 3*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65*c - 1049 = -854 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 3*a + 42 - 3 = 0, 3*a = -3*g - 33. Let x(j) = -13*j**2 - 15*j + 12. Let m(n) = -7*n**2 - 8*n + 6. Let w(f) = 7*m(f) - 4*x(f). Does 21 divide w(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/(-3))\/((-26)\/(3276\/(-35))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 209101.7671 to the nearest one thousand.\nAnswer: 209000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**2 + 4*j + 6. Let v(w) = 3*w**2 + 11*w + 18. Let y(t) = -5*t**3 + 186*t**2 - 33*t - 165. Let b be y(37). Give b*a(k) + 6*v(k).\nAnswer: k**2 - 2*k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -147*n**3 - 4191*n**2 + 4305*n - 66. Let l(q) = -9*q**3 - 262*q**2 + 269*q - 4. Let t(p) = 33*l(p) - 2*z(p). Suppose t(j) = 0. What is j?\nAnswer: -89, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -11*f - 16. Calculate v(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1290150739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -1 - 1 + 6*t + 3*t**2 + 1 + 0 - t**3. Let w be q(4). Solve w*n = 3*n - 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:50 PM and 11:35 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Do -174287.648 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 0*h = -36. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 0*p + 52 = 0. Let i = -528 + 593. Calculate the highest common factor of p and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mjab when four letters picked without replacement from ssajjmajsjmmsjbjaja?\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -9535, -9527, -9509, -9475, -9419, -9335, -9217?\n\"Answer: m**3 - m**2 + 4*m - 9539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h = 3*r - 23, -3*r + 5*h = -13 + 8 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 45366\/(-15)*15\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -185*v + 541*v - 181*v - 180*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 + 6. List the prime factors of y + ((-4)\/2)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2730, 4478, 6224, 7968, 9710?\nAnswer: 11450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -11*c**2 + 12*c - 9. Let q(j) = -9*j**2 + 10*j - 8. Let m(a) = 7*q(a) - 6*v(a). Let h(g) = 50*g**2 - 35*g - 35. Determine -2*h(r) + 35*m(r).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-6 + 6)*2\/(-2). Suppose -3*x = -t*x. Suppose -5*l = -4*j + 62 + 12, x = 3*j + 2*l - 44. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -162 - -55. Let z = -37 - l. Suppose 4*i - 9 = 3*m + z, -3*i + 3*m + 57 = 0. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 36\/307483 or 1?\nAnswer: 36\/307483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 777257116 divided by 4?\nAnswer: 194314279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.8 + -0.7. Let z = s + -0.5. Let r = z - 0.1. What is the smallest value in r, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**2 - 17*x + 71. Let z be s(9). Let t be (-4)\/8*(1 + -3). Sort t, 2, z.\nAnswer: z, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -532 + 547. Solve -5*r - 15*n + 14*n - y = 0, -3 = r + 3*n for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u - 4*i + 108, -i + 3 = -5*u + 206. Factor 2*h**2 - u - 30*h - 16*h**2 + 76.\nAnswer: -2*(h + 3)*(7*h - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -569*a + 574*a - 140 = 5*x, -4*x + 176 = 4*a. Let g = 0 + 56. What is the least common multiple of a and g?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 189 and 179375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/30)\/((-11)\/((-55)\/(-6)))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 16877054 by 7.\nAnswer: 16877054\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1462*w + 50*w + 1640*w + 954*w - 201194 for w.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 734*i = 296*i + 5694 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*w**2 - 36*w**2 + 19*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 16771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r = 258*x - 259*x + 3, -4*x - 6 + 11 = -7*x + r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 479 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 185*g**2 - 22*g**2 - 52*g**2 - 52*g**2 - 40*g**2.\nAnswer: 19*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((-84)\/81) - 190\/(-152)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 + 2)*(-1 + 1 - m - 2 + 2 - m + (-m + 4*m - 6*m)*(7 - 2 - 4)).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 23385396407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13 + -27 - ((-567)\/42 - -9)*128\/60?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21333 divided by 6510.\nAnswer: -7111\/2170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:47 AM and 11:46 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -5*h**2 + 14*h - 10. Let a(r) = -r**2 + 3*r - 2. Let i(x) = -11*a(x) + 2*l(x). Calculate the remainder when 85 is divided by i(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 0.1  (b) -3\/5  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 10677\/32130 - 672\/1904 and -51\/658.\nAnswer: 29610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**3 - 22*c**2 + 95*c - 770. Calculate r(18).\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 78347 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.126 - -0.026. Let c = 19.6 - 19. What is the nearest to -2\/5 in 3, c, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 78.01144l in millilitres?\nAnswer: 78011.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 744 + -2963\/4. Which is smaller: 95 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 10*96\/(-45120)*1*3\/3?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1345.0869639 rounded to one dp?\nAnswer: 1345.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -0.8  (b) 1\/9  (c) -0.7  (d) 461\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**3)**48\/(j*(j\/(j*j**(-1\/2)*j))\/j)**11 assuming j is positive.\nAnswer: j**(-181\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 68.862 - 0.062. Let l = w - 76. Let x = 7.14 + l. What is x rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -44 (base 5) to base 9.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**2 - t - 7. Let r(f) = -f - 4. Let c be r(-11). Is s(c) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the first derivative of -8*r + 18*r**2 + 77 - 28\/3*r**3. Solve q(v) = 0 for v.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes after 8:23 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-280)\/14*(-4)\/(-10). Let u(n) = -8*n - 7. List the prime factors of u(x).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.823 rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-4)\/5)\/(4\/(-20)). Let f be -2 + ((-9)\/l)\/(-1). Let x = 0.4 - 0.1. What is the second smallest value in -2, f, x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 34661535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 913795.7 days in hours?\nAnswer: 21931096.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -11*o + 12*o, 4*m - 1704 = -o. Let h = m + -415. What is the highest common divisor of 300 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 0*d = 2. Suppose r + 3*h - 1 = 3*r, d*r + 13 = -h. Let o(g) = -g**2 - 6*g - 5. Give o(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -12\/11 and -43\/2914.\nAnswer: 32054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 600 and 5925?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3, 0, -5, 173, -9\/11, 0.2, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the second derivative of -x**3\/3 + 2*x**2 - x. Suppose 8 = 3*d + 2. Let m(k) = k + 1. Let n be m(d). Determine w(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 61\/3 of a day?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26628 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -81 - -174. Suppose -4*s = -n + 17. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -6*l + 4*l + 4*l**2 + 2 + 2 - 6. What is the tens digit of u(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(-35)*(-15)\/(-6).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 168 = 6692*q - 6650*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*i**4 - 3*i**4 - 2*i**4 + (-53*i**3 + 9*i**3 - 69*i**3)*(3*i - 4*i - i).\nAnswer: 227*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58565965?\nAnswer: 5, 311, 37663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -2*s - 14. Let o be u(-6). Let k(x) = x**2 + 0 + 2 + x**3 - 3 + 2. Let p(t) = -2*t**2 - 4*t - 2. Determine o*k(r) - p(r).\nAnswer: -2*r**3 + 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2*(-3)\/6 + -2 + 33. Find the third derivative of 10*s**6 + 14*s**2 - 4*s**2 - u*s**6 + 5*s**2 wrt s.\nAnswer: -2400*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g*g\/(g\/(g**(-1)\/g))*g)**(1\/17))**(2\/83)\/((g**(-1))**(4\/21)\/((g\/(g\/((g**4*g)\/g)))\/((g*g\/g**(-5))\/g))) assuming g is positive.\nAnswer: g**(-53576\/29631)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(19) + 5 + sqrt(1216) + 3 + sqrt(1539).\nAnswer: 8 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -455 + 455 + 181*j**3.\nAnswer: 181*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -4318 + 2171 + 2135 + 206*q - q**3 in the form g + h*q**3 + d*q + w*q**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is ((6 - 12) + (-20 - (-8 - 13)) - -88) + -13?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -42, -0.15, -13, 13, -1\/6, -5?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -156.261 + 0.261. Let m = -153 - g. What is the closest to m in -1, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q - 9*q - 3*p - 159 = 0, -3*p - 420 = 5*q. Let i = 45.2 + -45. What is the fourth biggest value in i, -2\/15, q, 1\/6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bugmudr. What is prob of sequence du?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 2130*q**4 - 5*q - q**2 - q**3 + 0*q**2 - 2*q - 2132*q**4 - 4 as t*q**2 + f*q**4 + l*q + x + c*q**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 183770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 (base 5) in base 11?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/60 and (-3728)\/(-3360) - (-6)\/(-45)?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (34\/(-4))\/((-14)\/1848). Suppose -l - h = -34*l. Calculate the greatest common divisor of 17 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the second derivative of -10 - 5*l + 1\/6*l**3 + 3*l**2. Calculate o(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2183 + 1231. Let b = 960 + x. What is the greatest common factor of 536 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(675)*2 - 1*sqrt(972))\/((sqrt(288) + sqrt(288)*2)\/sqrt(8)).\nAnswer: -2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the second derivative of -13*l**3\/6 - 43*l**2\/2 - 12*l. List the prime factors of z(-15).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -658576, -1317139, -1975702, -2634265?\n\"Answer: -658563*r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 4\/376415 and 44\/5?\nAnswer: 376415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -7*w - 171. Is 2 a factor of x(-34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*q - q + 6*q)*(-2 + 5 - 1) - 3 + 3 + 3*q + (0*q + 4*q - q)*(1 + 5 - 8) + q + q + 0*q as l*q + w and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 35*w**2 + 2*w**3 - 40*w**2 + 81*w + 2 - 87*w to the form m*w + p*w**2 + l + c*w**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 21.409779 - 21.419. What is s rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -752.84962 less than 9?\nAnswer: 761.84962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 84 divide 139692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45315 - 45443 = 16*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*s + 630 = -6*s. Calculate the highest common divisor of 28 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes before 6:25 PM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**3 - 13*t**2 + 25*t + 15. Let k be h(13). Suppose -10040 = -20*o + k. Does 30 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k = -338*r + 354*r + 207, 5*r + 39 + 33 = 4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-175)\/(-55) + (-2)\/11. Suppose 6 = 4*n - 3*b, f*n - b = b + 5. Solve -1 = 4*p + 5*h + 7, n*h = -12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -179.96 + 177. Let m = k - 0.04. Suppose 0 = 3*x - 9, g + 5*x + 9 = 29. Put g, m, -5\/2 in increasing order.\nAnswer: m, -5\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 7*k. Let j(g) = -4*g**2 + 9. Calculate j(d(a)).\nAnswer: -196*a**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 238834.8 millennia?\nAnswer: 2388348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cic when three letters picked without replacement from {c: 3, j: 1, r: 1, p: 2, i: 3, b: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 9017999 * -0.5.\nAnswer: -4508999.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 27040 or 27047?\nAnswer: 27040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-2 + 0 + -4 + (sqrt(242) - (sqrt(242) - (sqrt(242) + (1 + sqrt(242))*4))))**2 + -5.\nAnswer: -220*sqrt(2) + 6049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 26326*f**4 - 21*f**2 - 12*f + 23 wrt f.\nAnswer: 631824*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x**3 - 14*x**2 - 33*x + 24. Let t be a(16). Solve -5*r + t + 7 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -8, 3, -5 in decreasing order.\nAnswer: 6, 3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11*p**5 + 10377*p**4 + 57*p**3 - 2586*p**2 + 4722 wrt p.\nAnswer: -660*p**2 + 249048*p + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 8*p**2 - 7*p + 13. What is the tens digit of g(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 276 and 97796.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 2.6 times -3818.2\nAnswer: -9927.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g\/g**(-3\/2)*(g*g*g\/(g\/g**(-3\/19)))\/g*(g*g**(-2\/17))\/g**20 assuming g is positive.\nAnswer: g**(-10191\/646)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 56 = -2*r + n, -5*r = -5*n - 80. Calculate the smallest common multiple of r and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + (20 - 7) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*m - 23*m - 171 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 38  (b) -1.11  (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1119*h - 1119*h - 3*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/(-6) + ((-75)\/(-27))\/(663\/234).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2343202 to the power of 1\/2, to the nearest integer?\nAnswer: 1531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*t + 4*r, -12*r - 4 = -14*r. What is the third derivative of 3*j**2 - 7*j - 3*j**2 - j**4 - t*j**2 - 16*j**3 - j - 4*j**2 wrt j?\nAnswer: -24*j - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5*(-27)\/(-225))\/((-63)\/(-60))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lllllwwl. What is prob of sequence wl?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20*j - 17*j + 12*j + 0*j + 0*j + 3*j + (-2 - 2 + 6)*(-2*j - j - 5*j))*(-j - 3*j + j).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 1 + 2*i + 4 - 4*i**3.\nAnswer: -4*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjjjrrj. Give prob of picking 1 j and 1 r.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 13517 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 850139034 to the power of 1\/3, to the nearest integer?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 927460 is divided by 185490?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1, -20, -57, -118, -209, -336, -505, -722?\nAnswer: -993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the first derivative of 5*d**2\/2 + 2. Let c(q) be the second derivative of q**3\/6 - q**2 + 42*q - 3. Calculate c(p(v)).\nAnswer: 5*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 2612501*f**2 + 15*f + 44. Let h be 1*(16\/(-4) - 0). Let w be x(h). Round w to the nearest one million.\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the second derivative of -51*w**6\/10 - w**5\/10 - 35*w**4\/12 - w**2 + 748*w. What is the third derivative of t(p) wrt p?\nAnswer: -3672*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -12*d**2 - 8*d**2 + 23 + 21*d**2 - 8*d. Let g be m(3). Suppose -5*p - 10 = 5*v, 2*v = 5*v - 4*p - g. Which is bigger: 7\/5 or v?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 238, 1021, 2338, 4189, 6574?\nAnswer: 9493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -9756*j - 341548. Calculate c(-35).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6 - 10 - 2*g + 0*g)*(-8*g**2 - g**2 + 0*g**2) as b*g**2 + o*g + l + s*g**3 and give b.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 54768.\nAnswer: 2, 3, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.1  (b) 130  (c) 29  (d) 3\/43  (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 244*q - 154. Let i(g) = -242*g + 153. Let j(s) = -2*i(s) - 3*v(s). What is the units digit of j(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 195 = 20*t - 15*t. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - (9 + (1 - 7)) - (-368 - -422)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 2678082, 5356174, 8034266, 10712358, 13390450, 16068542?\n\"Answer: 2678092*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0307755 rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*(y\/y**(2\/19))\/y)\/y**(-3\/2))**(-7\/4)\/((y\/y**(2\/3))**30*(y\/(y**(-5)\/y))\/y*y**0) assuming y is positive.\nAnswer: y**(-3069\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 23 + -3. Suppose 0 = 23*j - d*j - 813. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*a + 0*a - 3*a - 67*a**3.\nAnswer: -67*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 9 = 0, -5*z + 0*s = -3*s - 29. Solve -z*a = -3*c - 14, -3*c + 2*c + 2 = 2*a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 2*u**4 - 3*u**3 + 2*u**2 - 3*u. Let z(l) = l**4 + 3 + l**2 - l**3 - l - 3 + 0. Let b(r) = -q(r) + 3*z(r). What is the third derivative of b(h) wrt h?\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*h**2 - 2*h**2 + 70*h**3.\nAnswer: 70*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r = 391*d - 392*d + 7, -4*r + 16 = -0*r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 y when two letters picked without replacement from yypppppppyppyp?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 31 by -1668997.\nAnswer: -31\/1668997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -89\/129312744 and -119\/880.\nAnswer: 1293127440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6120 and 62577?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the second derivative of -h**6\/360 + h**5\/120 + h**4\/4 - h**3\/6 - 2*h. Let a(n) be the second derivative of l(n). What is the units digit of a(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - 6) + 1 + (-278 - -274).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3\/40 of a tonne?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = -3*j + 1. Suppose -3*p - 3 = -r, -3*r = 2*r + 2*p - 15. Solve v = -f - r*v + 10, -2*f - v - j = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes before 6:56 PM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(19) - (sqrt(228)*-2 + sqrt(228))\/sqrt(12) - (((sqrt(19) + sqrt(76)\/sqrt(4) - sqrt(19)) + sqrt(19))**2 + 1).\nAnswer: -77 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6267425?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 233477.5 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out 51 * 0.05364.\nAnswer: 2.73564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 2*h - 12. Suppose -h = z + 2*z. Let k be (24\/30)\/((-2)\/z). Is k at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -6 + 47611272?\nAnswer: 47611265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 287145 to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**3 + 14*v**2 - 1299*v - 390. Give o(30).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16443.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 14, 1, 0, 2\/5, 2 in decreasing order.\nAnswer: 14, 2, 1, 2\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -x + 2*u, -15 - 10 = -5*x + 5*u. Let l be 6\/21 + 12\/7. Suppose -5*r - 3 = -c, -l*r - 2 = 3*c + 6. Sort r, x, -3 in descending order.\nAnswer: x, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -0.2, 0.003, 0.11, 2143?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 83 a factor of 382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4 - (2 + -3) - 0. Which is the smallest value?  (a) h  (b) 3  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -b**2\/2 - 19*b + 132 = 0. Calculate b.\nAnswer: -44, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 47189 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (120\/16 - 6)*(2 - 0). Solve -u*q - 16 = q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -55*q + 7291. Calculate s(93).\nAnswer: 2176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 52 + 88. Suppose 0 = 3*w + j - 60, -5*w + 4*j + l - 23 = 0. Is 42 a factor of (-4102)\/(-49) - (-6)\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 29*d - 3. Let v be q(2). Let a be (-7 - -20) + 51\/(-2 + -15). What is the highest common factor of v and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the second derivative of -n**3\/6 - n**2\/2 + 2*n. Let t(y) be the second derivative of -2*y**3\/3 + 10*y. What is 2*f(o) - t(o)?\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 10*v - 150. Let m be a(16). Let p be 2\/(-4)*-2*(-10 + m). Sort 129, 5, 1, p in descending order.\nAnswer: 129, 5, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 13, y: 3}. What is prob of picking 1 u and 1 y?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of c*v**5 - 435*c*v - 2*c + 812*v**5 + 2*v**2 wrt v?\nAnswer: 60*c*v**2 + 48720*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*h - 47*h - 50*h + 680 = -142*h for h.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the first derivative of 0*a + 0*a**3 - 39 + a**5 + 15\/4*a**4 - 10*a**2. Factor z(d).\nAnswer: 5*d*(d - 1)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 9 and 0.094.\nAnswer: 0.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-41)\/2)\/((-1)\/4) is divided by 21*(-2 - (-6 + 3)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the second derivative of -1565*w**4\/12 - 1226*w**2 + 1586*w. Differentiate r(b) wrt b.\nAnswer: -3130*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 2422959?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 696 - 695 = 0. Let f(a) = 2*a + 26*a**2 + 0*a + 18*a**2. List the prime factors of f(b).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -33626.314 - -0.2?\nAnswer: -33626.114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1817\/119 - 262\/17. What is the closest to -0.3 in -4, f, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -8*m + 15. Does 6 divide p(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 2, 0.1, 365010.\nAnswer: -0.2, 0.1, 2, 365010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1038173*u - 31594307 wrt u?\nAnswer: 1038173","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 8\/25 of a microgram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3\/4 - (-30)\/24. Suppose -2*a + 2*p = 2 - 102, m*p = -4*a + 176. Calculate the greatest common divisor of 69 and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -278670000 to the nearest one million.\nAnswer: -279000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -17*n + 87. Let r be q(5). Let a = 16 + -11. Suppose -999 = -m - 2*x, -3*x + a*x = r*m - 2028. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21096 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: What is the ten thousands digit of 31505973?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-9)\/140)\/((-5)\/20). Let u = 1\/35 + x. Let l = 13 + -12.9. Which is the closest to l?  (a) 0.5  (b) u  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 11681, 34, 3 in ascending order.\nAnswer: -5, 3, 34, 11681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 260 = -l - l. Let z = 30 - 57. What are the prime factors of 6\/z + l\/(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5, -0.1, 3, -36, -0.4, 2, 4\/33?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 5 + 10*o**2 - 5*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -22e7 (base 16) in base 7?\nAnswer: -35023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c - 10*m = 6, -3*c + m - 2*m - 62 = -55 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 22229 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/5?  (a) -0.051  (b) 0.7  (c) -5  (d) 0.4  (e) -3.92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*v**2 - v**2 - 3*v**2)*(-18 + 180 + 82 + 145) to the form h*v + a + l*v**2 and give l.\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 638 + -973. Let r = s + 336. Suppose 4*z + w = -2 - 3, -2*z = -3*w + 13. Which is the closest to -5?  (a) z  (b) -2\/11  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 + -14. Suppose -57*s + 6875 = -62*s. Is s\/l - 4\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49\/4 of a milligram in micrograms?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i + 7*i - 3*x = -57, 4*x = 3*i + 75 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 18407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 16.96 to 0 dps.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*v = -41 + 13 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f + c - 1 - 4 = 0, 2*c + 8 = -2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 + -23 + 1)*38\/76?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3494 divided by 1747?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -2*a, 4*r + 2*a - 7*a - 22 = 0. Suppose -5*f - 5 = 0, r*f + 8 + 0 = p. Solve p*w - 3 = -13 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2307757 divided by 34.\nAnswer: 2307757\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(880) + sqrt(880)*4 + sqrt(880) - sqrt(880)) + sqrt(880))\/sqrt(5).\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 1001010 (base 2) to base 6\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 8*p = 0. Let x = p + 0. Suppose 31 = 2*v + 5*y, 4*v + x*y + 3 = 3*y. What is the remainder when v is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -284 + 286. Suppose 5*a = -5, h*j - a - 27 = 546. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 173 + 20 + 252 - 39*n**2 - 11 - 350*n**2 - n wrt n?\nAnswer: -778","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 273.40671 months to centuries.\nAnswer: 0.227838925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/6 - 74746\/(-38778)?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -27.90786 + -47.057088. Let l = o + -0.047652. Let a = l + 75. Round a to three dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ov when two letters picked without replacement from jgvjvo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2280316?\nAnswer: 2, 570079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 69739.3 days to nanoseconds.\nAnswer: 6025475520000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8 - -11. Suppose 29 = f*o + 2*d, 0 = -2*o + 6*o - d - 35. Solve -2*g - 1 = o for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/5, 3.9, -46, -3, -2\/3.\nAnswer: -46, -3, -2\/3, 1\/5, 3.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (24*d - 7*d + 4*d)*(4 + 2*d - 4 + (-2 + 2 + 2)*(1 - 1 + d) - 2*d + 2*d + 2*d + d + 1 - 1 + (-3*d + 4*d + 0*d)*(0 + 3 - 1)).\nAnswer: 189*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(22) - -2*sqrt(2662))\/sqrt(2).\nAnswer: 23*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.82 and -33969486.\nAnswer: -33969486.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 3 + 2)*((2 + 2*d - 2)*(5 - 1 - 2) + 0 + 0 - d)*(-d**2 + 2*d**2 + 2*d**2) as z*d**2 + w + h*d + u*d**3 and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m\/(m*m**(2\/15))*m*m**6*m*m)\/((m**4*m)\/m**(-1\/2)) assuming m is positive.\nAnswer: m**(131\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 5195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36 - 5 - (30\/(-8))\/(1210\/(-968)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 10 - 5. Suppose -p*y = 11 - 31. Suppose -y*l + 19 = -105. Calculate the remainder when l is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**2 + o - 1. Let d be q(2). Suppose 0 = 6*a - a - d, -h - 2*a = -6. Suppose -h*f + 251 + 85 = 0. Calculate the highest common factor of f and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4369159 - -1402501384\/321. Let f = c - 5\/214. What is the common denominator of ((159\/22)\/(-3))\/(-1) and f?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -76*t - 9951. What is g(-129)?\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*m + 85 + 164 - 12*m)*(m**2 + 0*m**2 + m**2 + (2 - 1 + 1)*(-3*m**2 + 3*m**2 + m**2) - 1 + 2*m**2 + 1 - 3 + 3 - 2*m**2 - m**2 + 0*m**2 + 0*m**2).\nAnswer: -9*m**3 + 747*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 - (15 + -70 + 23).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a**3\/13 - 6080*a**2\/13 + 234814*a\/13 - 2208736\/13 = 0. Calculate a.\nAnswer: 16, 23, 3001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 1303952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -122 - -62. Let g be 4*15\/10 - -58. Let y = r + g. Solve -y*o + 4 = -0*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11120, -7, -5, 1 in increasing order.\nAnswer: -11120, -7, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -103.6 + 97. Let q = 6.599696 + c. Round q to five decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 1 + 5)*(-b + 3*b - 3*b) + (-3 - 3 + 5)*(2 + 2*b - 2) - 2 + 2 + b in the form h*b + c and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**3 - 2*y**2 - 3*y - 118. Let u be r(0). Let j = 128 + u. Calculate the least common multiple of 4 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w + 14 - 7 = n, 30 = 3*n - 2*w + 9 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71 - 1082 = -y. What is the hundreds digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -149, -134, -95, -20, 103?\n\"Answer: 2*s**3 + s - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 436507 or 436511?\nAnswer: 436507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 173884 by -4.\nAnswer: -43471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lzttllzttjettfl. What is prob of sequence ztf?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s = 3*s - 15. Suppose 0 = -s*h + 2*q - 8, -5*h - 11 = q - 0*q. Let a be 1 + h + 11\/9. Is a >= -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the second derivative of -386*z**5\/5 + 1379*z**2\/2 + z + 558. Differentiate b(l) wrt l.\nAnswer: -4632*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*w + 2*w - 5*w - 2*w - 2*w + 5*w + (6 + 2 - 4)*(-4*w - 2*w + 2*w).\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/8 in -1369, -6, 1\/2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y\/(y\/(y\/(y**(1\/14)*y)))*y))\/(y*y**(-13)*y)*(y**(2\/3)\/y)**31 assuming y is positive.\nAnswer: y**(31\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 20013 (base 6) to base 16\nAnswer: a29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (48 - 2) + (0 - (6 + 14))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4024*k**3*l**3 - 2*k**3*l*n + 77*k**2*l**2*n + 2*k**2*l + l**3*n + 3*n wrt k.\nAnswer: 24144*l**3 - 12*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 85 - 36. Let l be 7\/(-9)*14\/c. Let v = 3 - 2.8. Is v greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k, 1 a, and 1 g when three letters picked without replacement from kaghgshkkhh?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 3*d + 2. Let s be n(0). Let t(i) = i**2 - 6*i + 7. Let l be t(5). Solve -l*v + s*m = -0*m - 10, -3*m - 13 = -v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.07 - -4.93. Let c = 1 + -1.01. What is the closest to -1\/3 in c, x, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 565\/7 - (-1 + 10\/14).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 0*i - 4*i - 6 = 0, -5*b - 5*i = 0. Solve 5*l - 4*f = 8, 6*f - b*f = 2*l + 1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 + -5 - -5) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 + (-4 - -1))*3. Let d = h - -21. Suppose 0 = -g + d*g. Let v(z) = z**3 + z**2 - z - 8. What is v(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -9.2 + -1.8. Let n = 11 + i. Which is the nearest to n?  (a) -1\/14  (b) -2\/3  (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the second derivative of 3*u**6\/2 - 16*u**3\/3 - 69*u. What is the second derivative of t(o) wrt o?\nAnswer: 540*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 480 a factor of 20676960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the first derivative of 0*c**2 + 1\/9*c**3 + 0*c - 1\/12*c**4 + 2. Factor a(g).\nAnswer: -g**2*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 7, l: 4, q: 7}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Are -581 and -590 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 26134?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -16, -33, -60, -97, -144?\n\"Answer: -5*r**2 - 2*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 200\/(-30)*(-9)\/5. Suppose -n - 4*d - j = -d, -5*n + 25 = -2*d. What is the smallest common multiple of 7 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 30 and 393270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 7\/4 - (-30)\/(-8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the third derivative of -m**5\/12 + 4*m**3 - 35*m**2. What is the first derivative of x(f) wrt f?\nAnswer: -10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7 - 17. Let n be ((-2)\/(-4))\/((-2)\/q). Suppose 2*d = -5*b + 2711, n*d = 2*b + 3*d - 1073. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 3*w**2 - w. Let a = 5 - -33. Suppose 0*f - a = -2*f. Calculate the remainder when f is divided by t(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8\/68 - 183\/255\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 84 and 0.0678861.\nAnswer: 84.0678861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 54892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 3*j - 20. Let k be g(27). Suppose 0 = -13*q + 4 + k. What is the second smallest value in q, 2\/7, 1\/6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(3\/2)\/(n*n**(-11)*n))\/(n\/((n\/n**(5\/3))\/n))**36 assuming n is positive.\nAnswer: n**(-171\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6307 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1924 and 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23875 = 3*f - 23872 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = 261 + 16. Find the third derivative of -2*r**2 - r**2 - j*r**4 + 266*r**4 wrt r.\nAnswer: -264*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 164*x**2 - 50*x - 101. Is i(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 446\/249 - 100094\/28635. Let k = -154\/23 + l. What is the common denominator of 5\/9 and k?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2531 (base 6) to base 4.\nAnswer: 21313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 21315837 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(88)*4)\/((sqrt(99) + (sqrt(99) - (sqrt(99) + sqrt(99)*5*-3)) + sqrt(99))\/sqrt(9)).\nAnswer: -32*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 16*b + 1. Let o(p) = -186*p + 33. What is n(u) - o(u)?\nAnswer: 202*u - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 6 - 2 = -2*m, 4*o = -5*m + 17. Let d(t) = -t**3 - t**2 + t + 1. Let a(s) = -6*s**3 - 14*s**2 + 4*s + 4. Calculate m*a(z) - 4*d(z).\nAnswer: -2*z**3 - 10*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 48346011?\nAnswer: 3, 7, 17, 41, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 1, s: 1, p: 5, q: 3}. Give prob of picking 1 a, 1 s, and 2 q.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 550*x. Let n(v) = -10*v. Determine m(n(z)).\nAnswer: -5500*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) -60  (b) -15  (c) -2\/3  (d) -43  (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 10140 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3080\/(-112)*2 - (-2 + 17 - 0)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 90 and 117?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 3*r + 53. Let h = r - -36. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 290 and 12702.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -766 - -789. Calculate the remainder when 4093 is divided by w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -38*x**3 - 17*x - 6. Let v(z) = -13*z**3 - 6*z - 2. Let r(p) = 6*j(p) - 17*v(p). Find the first derivative of r(m) wrt m.\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 36*b - 23*b - 29*b - 3 - 19. Let m be w(-3). Calculate the highest common divisor of m and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = z + 168*t - 167*t - 6, 17*z - 4*t = 60 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -889*y - 1778*y - 24985*y.\nAnswer: -27652*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 312*h**3 + 249 with respect to h.\nAnswer: 936*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 252*f - 499. Suppose x + 0 = -3. Calculate the remainder when 2 - x*(1 - 0) is divided by k(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the second derivative of 2*r**2 + 38*r. Let f be 2*2 - 6\/6. Let z(y) = -90 + 6*y - 6*y + 87 + y. Give f*z(j) + 2*p(j).\nAnswer: 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**2 + 26*x + 2411. Let a be n(-37). Let p be 54\/10 + 8\/(-20). Calculate the greatest common divisor of a and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -237*f**3 + 14 + 231*f**3 - 14.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 29 = -0*k + 5*k, -5*x - 2*k - 30 = 0. Let g = x + 7. Let w be ((-2)\/15)\/(g\/9). What is the smallest value in 2\/11, -0.1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 151, 5, 0, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -567557*h**3 + 17028114*h**3 + 1942579*h**3.\nAnswer: 18403136*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -13525032 (base 7) to base 8\nAnswer: -4652571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 5*u. Let y(i) be the second derivative of -i**6\/144 + 215*i**4\/12 - i + 42. Let w(l) be the third derivative of y(l). Give m(w(q)).\nAnswer: -25*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -363, -350, -315, -252, -155?\n\"Answer: k**3 + 5*k**2 - 9*k - 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 138 divide 7438476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.836 - -0.966. Round f to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8509854 + 3020633. Let g = -8369221 - h. What is g rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d + 3*z + 6 = 3*d, 2*d = 4*z + 2. Does 17 divide ((-17)\/3)\/(d\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 2, f: 3, s: 4}. What is prob of sequence sfgf?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(7\/(-14)*1). Sort -1, 9, 1, z in increasing order.\nAnswer: z, -1, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11210 - 2200?\nAnswer: -21110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**2 - z - 1 - 2*z**2 + 6*z**2 - 2*z**2. Let o be h(3). Sort -3, o, 4.\nAnswer: -3, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 139*t - 18443. Let h be m(133). Let n = 3 + 2. Let k be ((-8)\/(-10))\/(1\/n). What is the highest common divisor of k and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 59 - ((-11 - (8 + (-18 - -5))) + (-3 - -6)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x + 3*x - 5*x)*(3*x**2 - 3*x**2 - 2*x**2) + (-2*x**2 + 3*x**2 + 0*x**2)*((-58 - 7*x + 58)*(5 - 7 - 9) + 3 - x - 3).\nAnswer: 80*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-38)\/(-6) + 98\/(-14).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {v: 8, o: 3, p: 5}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -273 = 17*a - 324. Solve 5*m + a*t = 13, -m + 6 = -2*t - 7 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-12)\/(-42) - (-9)\/(-7). Let b(h) = -29*h**2 + 1. Let i be b(u). Let v be 1 - (i\/(-12) + 0). Is -0.1 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9 - 9. Let m be 0 - 2*(-2)\/(-20). Which is greater: g or m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 75\/16 and 23\/209196766.\nAnswer: 1673574128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by -23045.\nAnswer: 4\/23045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -3*y**2 + 144*y + 304. Calculate t(50).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -170791*g + 85396*g + 85397*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4\/5 in 0, -2226, -43?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 * 0.68.\nAnswer: 0.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*o = 29*o - 70. Let w = o + 47. Calculate the highest common factor of 12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 89 + 18. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -25*m + 21*m + 1211820. Let i = 499150 - m. Let h = -105195 + i. What is h rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**4\/3 - 5*t**3\/3 - 2*t**2\/3 + 8*t\/3.\nAnswer: -t*(t - 1)*(t + 2)*(t + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = s + 10, -5*p - 6 = 5*s - p. Suppose 0 = d + 3*u - 18, 4*d - 37 = -3*u - 2*u. Solve s*h + 5 = -d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 2 d when four letters picked without replacement from ttttdttdttd?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**3 - w**2 - 1. Let h(x) = -5*x**3 + 10*x**2 + x + 3. Let f(z) = -h(z) - 4*v(z). What is f(5)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the third derivative of w**6\/6 + w**5\/30 + 2*w**3\/3 - 35*w**2. Find the third derivative of a(m) wrt m.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 270 = 8*p + 262 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 27*l + 79. Let z(f) = 32*f + 78. Let v(d) = -5*r(d) + 6*z(d). What is the derivative of v(x) wrt x?\nAnswer: 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 59\/4 of a millennium?\nAnswer: 1475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9333 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1005845 by 65.\nAnswer: 201169\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1 + -3)\/((-664)\/9989548) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4576577981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 219 divide 42406719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes before 9:24 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*f - 10*f + 8*f + f + 64*f.\nAnswer: 53*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (834\/695)\/((-6)\/(-10))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -25\/842804 and 137\/53796?\nAnswer: 2528412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1586885 or -1586914?\nAnswer: -1586914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -489 - -515. Let d(o) = 2*o - 2*o + 29 + b*o**2 - 29. Let i(u) = 2*u. What is i(d(y))?\nAnswer: 52*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**4\/4 - 29*n**3 + 1583*n**2\/4 + 425*n.\nAnswer: n*(n - 100)*(n - 17)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 3*x = 41, 2 = 2*s - 3*x - 5. Let m = 31 - s. Let z = -15 + m. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 4713, 4715, 4717, 4719?\n\"Answer: 2*y + 4711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29090825.\nAnswer: 5, 17, 68449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -112651*h**2 + 33553*h + 3 wrt h?\nAnswer: -225302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the second derivative of -u**7\/21 + u**6 - 5*u**5 + 157*u + 2. Determine x, given that t(x) = 0.\nAnswer: 0, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 8*w**2 - 54*w - 233. Is k(40) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 37\/11  (b) 313  (c) -0.0487\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 22977119*f**2 - f - 24661467?\nAnswer: 45954238*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 312521, 312519, 312527, 312551, 312597?\n\"Answer: i**3 - i**2 - 6*i + 312527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17 - 6*t + 17 + 2*t**2)*(4*t + 2*t - 4*t) + (4*t - 4*t - 2*t)*(-1267*t**2 + 2675*t**2 - 1285*t**2).\nAnswer: -242*t**3 - 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**2 + 25*c - 32. Determine s(23).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -161 - -185. Let k(s) = 15*s - 9. Let n be k(7). What is the highest common factor of n and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fffrfffffpffffffff. Give prob of picking 3 f.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 + 97 = -8*q. Let t be -4 + q\/(-3) - -1. Suppose -1029 = -5*x - 2*w - 333, x - t*w = 132. Is 38 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(1\/6)*t**(-10) assuming t is positive.\nAnswer: t**(-59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 c, and 1 k when three letters picked without replacement from obccbbbbkbkbccocbc.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 546?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 19 = -2. Let w(y) = -7 + l - 4*y + 6. Let i be w(-7). What is the greatest common divisor of 51 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 135350122 + 42?\nAnswer: 135350204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**2 + d + 2. Let m be (1 - -1)*(-3)\/2. Let q = -3 - m. What is h(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*w + k = -0*k - 52, 75*k - 80*k = 2*w + 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 9\/(4*(-2)\/4). Let z = -19\/6 - c. Find j, given that -2\/3*j**3 + 0 + z*j**2 - 2\/3*j = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.209 + 91.791. Let c = n - 92.00032. What is c rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/4*(-9)\/((-135)\/(-8)). Which is greater: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2255 - 355?\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 5678846 to the power of 1\/2, to the nearest integer?\nAnswer: 2383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 8*p**3 - 11*p - 5. Let a(d) = 4*d + 2 - 3*d**3 - 17*d**2 + 8*d**2 + 9*d**2. Give -11*a(z) - 4*u(z).\nAnswer: z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3.1 in -0.178, 3, -0.0163?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-65)\/26 - -3 - 1)*0. Suppose 21*f - 3\/2*f**3 + 15\/2*f**2 + d = 0. What is f?\nAnswer: -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 94, 104, 120, 142, 170, 204, 244?\nAnswer: 290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5.16 + -5. Let t = -0.06 + q. Which is the nearest to -0.1?  (a) t  (b) -3  (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -d**2*k*u**2 + d**2*k - d**2*u**3 + 39*k*u**3 + 404*u wrt k.\nAnswer: -d**2*u**2 + d**2 + 39*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10024 - 40417\/4. Do y and -81 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -15 - -116. Let t = f + -91. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -5*t + 6. Let o(v) = -2*v**5 + 4*v - 3. Let m(y) = -y + 0*y + 0*y + 1. Let b(p) = t*o(p) + 3*m(p). What is the second derivative of b(r) wrt r?\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 31084650 and 130650.\nAnswer: 404100450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that 110*d**2\/3 + 137*d\/9 + 2\/9 = 0.\nAnswer: -2\/5, -1\/66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 95041 and 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -25092\/3733?\nAnswer: -25092\/3733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -26110 divided by 373?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l - 7. Let o be a(5). Let s(u) = 66 + 64*u - 46*u - 8 + 37. Let r be s(-5). Put 0, r, o in descending order.\nAnswer: r, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 4\/5, 0.01, -0.2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 714361 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 plus -0.478?\nAnswer: -0.478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2922671.\nAnswer: 89, 32839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3\/49 or 1\/4?\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.83907 + 0.3?\nAnswer: -0.53907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v = b - 29, -7 = -5*v + 5*b - 2 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 665 is divided by 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 85\/6344 and 74\/273.\nAnswer: 133224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -80 + 48. Let s be b\/14 + (-12)\/(-42). Is 5 + s + (-102)\/(-2) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11 + 7. Let l(s) = -s**2 + 12*s + 19. Let q be l(14). Let v be 36\/q + 5\/6. Which is greater: m or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60*m + 19*m - 23*m + 8202320 = 0. What is m rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 59 divide 1604707557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -100 + 60. Let f be (16\/v)\/(1\/(-5)). Solve -2*r = 2*r + s - 21, f*s - 2 = 2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/4*n**2 + 7\/4*n**3 - 5\/4*n**4 + 1\/4*n**5 + 0*n + 0.\nAnswer: n**2*(n - 3)*(n - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-d**2 + d**2 + d**2)*(-5 + 2 + 2 + 0 - 4 + 2 - 4 - 2 + 4 + (2 + 1 - 1)*(1 - 2 + 2) + 2 - 3 - 1 + 377 + 3300 + 2565) as b + y*d**2 + p*d and give y.\nAnswer: 6237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-240)\/15)\/(-8)*-49.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nlynylylnkyy. Give prob of sequence nkny.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 - 9. Let q be 3\/((-4)\/m*3). Solve q*s = 3*s + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3097 - 15487\/5. Which is the nearest to -2?  (a) 5\/8  (b) 4  (c) t  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**3 - 7*v**2 + 11*v + 8. Let k be 3 - 2\/((-10)\/5). Let h be w(k). Solve -2*y + h*m = -0*y - 12, -m - 5 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -104867 + -108b?\nAnswer: -105925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m - 9 = -3*f, 5*m + f - 16 = 2*f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 - 17 = 4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1258 is divided by 79?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = -6*m - 5. Let u(k) = -k + 4. Calculate u(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 27 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1047473334, -2094946667, -3142420000, -4189893333?\nAnswer: -5237366666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, -0.8, 3\/2 in increasing order.\nAnswer: -0.8, 3\/2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 112*p**3 - p**2 - p + 1. Let f be b(1). Let z = 117 - f. Suppose 7*a - 53 + 4 = 0. Solve d = 4*g + 7, -z*d = -2*d + 5*g - a for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50772211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide (-30)\/4*(-56)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3\/637577 or -0.31?\nAnswer: 3\/637577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10459782 by 2.\nAnswer: -5229891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 + 11133330321222?\nAnswer: 11133330321231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7\/4890 and -87\/3260.\nAnswer: 9780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 28*o - 627. Let t be b(7). What is the second biggest value in 2\/15, -5, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the first derivative of d**4\/26 - 2516*d**3\/13 + 4747692*d**2\/13 - 3981731024*d\/13 - 5650. Find w such that g(w) = 0.\nAnswer: 1258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 6*n. Let d(h) = 7*h. Let z(a) = 4*d(a) - 3*f(a). Let w(x) = -2*x**2. What is w(z(y))?\nAnswer: -200*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 13) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 91725 and 150.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -4  (b) 1\/3  (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**2 + 17*m - 20. Let k be (-1)\/(-2) - 27\/(-2). What is the tens digit of n(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 4*z = -3*z - 8, -f = -5*z - 17. Find the common denominator of (9\/14)\/(f\/18) and -1 - 10*(-8)\/36.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/13774 and -93\/8.\nAnswer: 55096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 21 - -63. Calculate the greatest common divisor of 12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -17  (b) 0.7  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 91*u + 419. Let y be t(-4). What is the highest common factor of 85 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3210, -6138, -9066, -11994?\nAnswer: -14922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 275.84 rounded to the nearest 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 46493 - 46492.962102. What is w rounded to 4 decimal places?\nAnswer: 0.0379","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7*r**5 + 4894227*r**4 - 7*r**3 + 1552*r**2 + 7562*r wrt r?\nAnswer: 420*r**2 + 117461448*r - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.36 smaller than 17675?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18535 divided by 3707.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1575)\/3850*(-22)\/2)\/(2\/20)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k - 10 = -2*w, -k + 35 = -3*w + 55 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wawwawwwiiw. What is prob of picking 2 a?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -28, -1\/9, 11, 2\/7, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 46303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-82)\/1)\/(14\/(-21742)). Let u = y + -190344. Let c be -2 - (-3 - (1 - u)). What is c rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -4*n**2 - 270*n + 710. Give q(-70).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 728*w - 459. Determine z(2).\nAnswer: 997","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 + 140?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-64)\/(-110) - 4\/10?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12 - 12.6. Let l = v - 0.7. What is l rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(588) + sqrt(588))\/(-5*(sqrt(4) + sqrt(324))).\nAnswer: -7*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 180374, 180248, 180124, 180002?\nAnswer: 179882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 50*k + 4877. Calculate g(-96).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:15 AM and 12:33 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 127*r + 995*r + 904*r - 74962 for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 4518 divide 143744688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((5 - 11) + (-1 - 3) - -5) + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -106534, -106400, -106276, -106162, -106058, -105964, -105880?\n\"Answer: -5*u**2 + 149*u - 106678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 830\/1245*18\/40?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -26183085 - -41604720. Let l be 405406*(-4)\/(8\/(-45)). Let t = l - u. Round t to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 996\/7 - 142. Which is the closest to 2\/5?  (a) z  (b) 2\/21  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35556867611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1368727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -55 - -671. Suppose -t = -11*o + 3*o. Let y(j) = -12*j**3 - j**2 - j - 1. Let x be y(-1). Calculate the greatest common divisor of x and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**2. Let b(y) = 4*y**2 + 7*y - 7. Let i(n) = -3*n**2 - 6*n + 6. Let j(c) = -6*b(c) - 7*i(c). Calculate s(j(r)).\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t - 18. Let f be r(-18). Suppose -c - 584 = -4*m + c, -c + 4 = f. Let g = m - 85. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 4*y - 2. Let s be l(4). Let m(d) = 4*d**2 + 36 + 9*d**2 - d**3 + 14*d - 18. What is the units digit of m(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 14, n: 5}. What is prob of sequence inn?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 2*a = -5. Suppose -6 = a*y - 21. Solve y - 13 = 2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 5, t: 4, x: 1, z: 5}. What is prob of sequence xtt?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -0.04, 17, 3\/2, -5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express y - 18*y**3 - 1 + 2*y**2 + 9 - 10 as z*y**2 + m + h*y + i*y**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 6329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kwkw when four letters picked without replacement from twtttttwkttwtktw.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 194\/91 + -24\/13. Let v = 39 - 155\/4. Let h = 871 + -4356\/5. What is the nearest to 1\/4 in h, f, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 94 - 90. Suppose -2*s + 6*s + 4 = 0. Sort w, s, -4.\nAnswer: -4, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 708*k - 43680 = -657*k for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 21\/(-9)*312\/2548 - (-852903)\/7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 5, l: 3, n: 8, y: 3, g: 1}. Give prob of picking 1 l and 1 g.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b, 1 q, and 1 z when four letters picked without replacement from uqbqususbzsqzsuss.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from czzczzczcz. What is prob of sequence cc?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 190119983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-7 - (-4 - 4)) + 24\/(-18)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -255*x - 481 wrt x.\nAnswer: -255","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 7 - (-11 + 7 + 10 - -5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 - 7 = 4*w. Suppose -m + 4*o = -20, -5*m - 2*o + 10 = -w*m. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -8*a - 10. Let p be g(-2). Calculate the greatest common divisor of 48 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -284*x**4 + 320*x wrt x.\nAnswer: -3408*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in seventy-four fifths of a gram?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 1470, 8, 2, -2, 0, 5 in ascending order.\nAnswer: -2, 0, 2, 5, 8, 1470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the third derivative of y**4\/4 + 2*y**2. Let s(w) be the first derivative of 27*w**2\/2 + 8041. What is i(s(q))?\nAnswer: 162*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4, 96, 2.0809?\nAnswer: 2.0809","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 25 - -322. Let n = i - 157. Does 48 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9196 is divided by ((-377)\/(-1508))\/((-57)\/(-28) - 2) - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1 + (-2 - (-4 + -1)). Let m = 7 - s. Solve 0 = -3*d - 2*a + 8, -a - 12 = -4*d - m*a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3.23 + -0.23. What is the third biggest value in 5, x, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -38.768 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 123187 is divided by 451.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 323 + -697. Let r = 382 + n. Solve r - 16 = -2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -6*i**2 + 3*i - 4. Let u be (6\/(-3) - -1)*-3. Suppose g + 16 = -u*k - 4*g, k = -2*g - 7. Let b be d(k). What is b rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 5 - 14 = 0. Suppose 18*k - 88 = 2. Suppose 22 = q - 4*z, -3*q + o*z - 4 = k*z. Solve -w + 11 = -q*t - 2*t, 2*w = 2*t + 10 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 + 348*c - 2427*c**2 - 3 + 8847*c**3 - 2619*c**2 + 15542*c**3 = 0.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the third derivative of 11*w**6\/24 + 25*w**5\/4 + 65*w**4\/6 - 10*w**3 + 377*w**2. Let o(a) = 0. Calculate a.\nAnswer: -6, -1, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5473*r**3 + 2561*r**3 - 15628*r**3 - 22051*r**3 - 19534*r**3.\nAnswer: -60125*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 59 + -58. Let z(x) = -15*x**3 + 17*x**2 + 2*x - 2. Let v(k) = k**3 + k**2 - k + 1. Let j(m) = b*z(m) + 2*v(m). Find the third derivative of j(o) wrt o.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 6*m**3 + 24*m**2 - 6*m - 19. Let j(f) = -f**3 - 5*f**2 + f + 4. Let x(l) = -11*j(l) - 2*z(l). Calculate the remainder when x(5) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the second derivative of -d**6\/30 + 2*d**5\/15 + 7*d**2\/2 - 4*d. Let y(l) be the first derivative of m(l). Factor y(i).\nAnswer: -4*i**2*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 2*k**2 + 14*k + 40. Let d be x(-5). Let v be 88\/36 + d\/(-45). Put -3, v, 0.32 in ascending order.\nAnswer: -3, 0.32, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00322342795 rounded to 6 decimal places?\nAnswer: -0.003223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 6956.897 * 0.12\nAnswer: 834.82764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 940 = 108*m + 51*m + 145 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-18)\/(-24)*22\/33. Which is smaller: y or 7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(-1))**(-1\/5)\/((f**(-4)\/f)\/f*f**(-5)*f))\/(((f*f**(-1\/3))\/(f\/(f**(-4\/7)*f*f*f*f)*f))\/(f\/(f*f*f*(f*f**(-3))\/f)*f**(-5))) assuming f is positive.\nAnswer: f**(82\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (11 + 4 - 13) + (-3 - -1) - 13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -87548?\nAnswer: 1\/87548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -16*w**5 + 68588*w**4 - 128*w**2 - 3109*w?\nAnswer: -960*w**2 + 1646112*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the second derivative of -i**8\/1680 + i**7\/360 - i**4\/12 + 7*i. Let m(v) be the third derivative of f(v). Find the third derivative of m(t) wrt t.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*h - 9*h + 20*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in 0, 192, 2\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 - -3100?\nAnswer: 3102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1184960 divided by -2116\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 399157 and 179773?\nAnswer: 3047","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -10, 4, 0.1, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*q**4 + 1670*q**3 - 164060*q**2 + 3821850*q + 12987585 = 0. Calculate q.\nAnswer: -3, 39, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*h**3 + 5*h**3 + 5*h + 7 - 1 - 8 + 2*h**4 to the form z + t*h**3 + b*h**4 + r*h**2 + n*h and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 7013.756t?\nAnswer: 7013756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4034694?\nAnswer: 2, 3, 433, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (31302\/(-6) - -2) + -5. What is the common denominator of (2\/(-12))\/(1940\/h) and -15\/22?\nAnswer: 2134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2695 - -4111. List the prime factors of s.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 150*d**2 + 32*d. Let x(n) = -14*n**2. What is w(x(u))?\nAnswer: 29400*u**4 - 448*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 99367 is divided by 8644?\nAnswer: 4283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -199 + 184. Let f = -16 - u. Which is smaller: 2\/765 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -15 bigger than -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**2. Let h = 25 - 20. Suppose -24 = -h*j + j. Let f(a) = -6*a - a**2 + j*a. Calculate s(f(n)).\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -15403\/6 - -2549. Suppose 5*o + 25 = 4*i + i, 0 = -5*i - o + 43. What is the common denominator of i\/(-16) - (-74)\/24 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l + 2*q + 2*q - 80, -3*l + 25 = -4*q. What is the highest common divisor of 3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/15?  (a) -4  (b) -3019  (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*sqrt(78)*-2)\/sqrt(243))\/(4*(sqrt(98) + sqrt(98)*2*4 - sqrt(98))).\nAnswer: -sqrt(13)\/252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes before 12:46 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 506*f - 442 = -524*f + 1043*f for f.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 270717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes after 4:18 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -86*p - 2697 = 61*p - 54*p for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 37*k - 227. What is h(4)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -77\/127950 and -89\/191925.\nAnswer: 383850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-2)\/2 - -2) + -3. Suppose s = -3*s. Let w be s\/8 - (-2)\/(-3). Do w and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:37 PM and 8:49 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k**5 - 72*k**4 - 1727*k**3 - 13752*k**2 + 1728*k + 13824 = 0 for k.\nAnswer: -24, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3 + (-60)\/(-25) + 6\/10. Suppose -32*o + 34*o - 10 = q. Suppose 3*z + 2*v = 1349, o*z - 1172 = -v + 1074. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 74.76967 nanograms to tonnes.\nAnswer: 0.00000000000007476967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {q: 8, f: 5, y: 7}?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*d + 13 + 35*d**2 - 34*d**2 + 2*d as g + r*d**2 + i*d and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -12*v**3 - v - 3. Let r be q(3). Let g = -330 - r. Solve 3*w - 7 + 16 = g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1963616531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 629 + -27. Let c = o - -655. What are the prime factors of c?\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 9 = 3*n, -4*n + 7 = q + 1. Suppose -5*m + q = -2. Suppose -r - 9 = -m*v, -2*r - 4*v - 2 = -20. Solve -4 = -o + r*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59.07293 centuries in months?\nAnswer: 70887.516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 10}. Give prob of picking 3 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 62.7 - 59.724. Let y = 0.024 + w. Which is the second smallest value?  (a) y  (b) -5  (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12863467?\nAnswer: 12863467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 3 - 3 + t. Let v = -920 + 916. What is s(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -121 and -17.35546385.\nAnswer: -138.35546385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 126*h + 1356 = -30*h + 62*h - 524 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*g - 12*g + 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -61 - -61.86. Let k = 0.36 - r. What is the nearest to -1 in 0.22, -1\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*l - 7*l + 60 = 5*i, 4*i - 3*l = 48 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 94 and 6387112.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {x: 5, f: 4, v: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 125\/7698 and -76\/6054477.\nAnswer: 12108954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2277147744 a multiple of 464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, z: 7, r: 2, y: 1, d: 7}. Give prob of picking 3 d.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 556991?\nAnswer: 23, 61, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11 + -10.78. Let f = u + -0.12. Is f less than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/80*960\/(-1800).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -8ba73 (base 12) to base 16\nAnswer: -2d837","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 813 is divided by 271.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -45 - -46. Which is greater: 12 or a?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the first derivative of h**7\/84 + h**6\/24 - 5*h**4\/48 - h**3\/12 + 3*h - 12. Let i(f) be the first derivative of a(f). Suppose i(t) = 0. Calculate t.\nAnswer: -2, -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jttoojjtjtjjjjto. What is prob of sequence jo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 49259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 270 divided by -180262.\nAnswer: -135\/90131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -138*d + 234*d - 92*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (-4*sqrt(110)*-3*5)\/(sqrt(160)*3 + (-4*sqrt(10)*-2 - sqrt(10))).\nAnswer: -5 + 60*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (10\/15)\/((-8)\/(-12)). What is the least common multiple of (0 - l)*(0 - 11) and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (6 - 2)\/4*0. Let f = y + -2. Let q = 34 + f. Calculate the highest common factor of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.00121 + 0.02779. Let y(x) = -x**3 + 2*x**2 - 3*x + 2. Let p be y(2). Sort t, 5, -2, p in decreasing order.\nAnswer: 5, t, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5 + -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 5 + 3)*(3*g - 7*g + 2*g)*(-6*g + 2*g + 12*g).\nAnswer: 32*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14 - 32 - m + 13*m**2 + 7 + 75 + 38.\nAnswer: 13*m**2 - m + 102","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 21811\/(-6) + (-9)\/(-54). Let c = -2269 - w. Let p = -14366 + c. Round p to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 150 + -122 + -2 - -45.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -338149 divided by 1.\nAnswer: -338149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 34965, 34960, 34951, 34938, 34921?\nAnswer: 34900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 2873*a**3 + 9*a**2 - 8*a - 95. List the prime factors of o(3).\nAnswer: 23, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -848729 less than or equal to -6.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 4\/2 + 4\/16*0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3480033 divided by -2279.\nAnswer: 1527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/((18\/578)\/3). What is the greatest common factor of j and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 14 + -6. Let h be (o\/(-6))\/(3\/(-18)). Suppose -2*c + h = 2*c. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 18 and 2844.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 598613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*z - z**2 - z + 2*z to the form a*z + c + y*z**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4.11 + 0.11. Let m = -3 - z. Suppose -2*l = -l - 1. Which is the closest to m?  (a) -5  (b) -1  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5\/149 - -134\/447. What is the biggest value in -73, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = 2*c - 5*z, -4*c + 5*z = -c - 67. Let w = 112 + -96. Calculate the remainder when c is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 21*i + 14. Let g(t) = -13*t - 14. Give 2*c(h) + 3*g(h).\nAnswer: 3*h - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -123454, -121716, -116992, -107788, -92610, -69964, -38356?\n\"Answer: 249*j**3 - j**2 - 2*j - 123700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = 15*u - 17300. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-14 - -7) + -3 + 3436 + -3.\nAnswer: 3, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 + -14)*(3 + (-5)\/10). Find the common denominator of -57\/20 and (2\/10)\/(84\/m).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 18 and -246490?\nAnswer: -4436820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 + -4. Which is the biggest value?  (a) 0  (b) -22  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11, 23, 31, 35, 35, 31, 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -35 + 23. Let y = a - -17. Factor 8*x - 9*x**3 - 4 - 4*x + y*x**3 + 3*x**2 + x**4.\nAnswer: (x - 2)**2*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:53 PM and 3:02 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3622444\/9 - 403488. Let h = -989 - c. Are h and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**3 - 2*c**2 - c - 4. Let j be o(3). What is the first derivative of -2*d**2 + 9 - j - 6 wrt d?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**3 + l**2 - 3*l - 1. Let r(j) = -27*j**3 + 6*j**2 + 9*j + 3. Calculate -3*a(y) - r(y).\nAnswer: 24*y**3 - 9*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/7*h**4 + 6\/7*h**3 + 0 + 4\/7*h**2 + 0*h.\nAnswer: 2*h**2*(h + 1)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 197097587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 18593*o - 315823. Calculate b(17).\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0004713755 rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(5) + (4 + (sqrt(5) - (1 + sqrt(5))) - sqrt(5)) + ((-1*sqrt(15))\/sqrt(3))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uyuuxxyuxxu. Give prob of picking 2 x and 2 u.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.32?  (a) 753  (b) -5  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1101467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 6*g**2 - 4*g**2 + 3*g**2. Let v(r) = r - 600. Let q(y) = 4*y - 2900. Let m(k) = -6*q(k) + 29*v(k). Determine d(m(s)).\nAnswer: 125*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-48)\/(-40))\/((-21)\/(-10))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 417459*x - 208731*x - 208728*x - 39*x**2.\nAnswer: -39*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 355 + -635. Let m = 657 + v. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5079540 to the nearest one hundred thousand.\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 0*z**3 + 37*z - 2*z**3 - 3*z**3 - 7*z**3 - 4 wrt z?\nAnswer: -72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g. Let w(t) = -3*t**2 + t + 1. Let q(s) = 18*s**2 + 1319*s - 5. Let l(o) = q(o) + 5*w(o). Give j(l(k)).\nAnswer: 3*k**2 + 1324*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5306 - -5384. Sort 5, t, -4 in ascending order.\nAnswer: -4, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 31506 + 2000. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27.458 - 10.018.\nAnswer: 17.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1571*j + 694*j + 12987 + 27783 = 0 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14623632.\nAnswer: 2, 3, 33851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -97\/170 - 1\/34. Suppose 5*m - 4*t - 41 = 0, m - 6*m = 5*t - 50. Suppose 5*z + l + 4 + 11 = 0, -m = 3*z + 3*l. Put u, z, -0.1 in decreasing order.\nAnswer: -0.1, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-21)\/(-2492)*((-63)\/(-7))\/((-270)\/(-10))*8.\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*q - 1 - 4*q + 2.\nAnswer: -29*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the second derivative of w**8\/960 + w**6\/360 + w**4\/12 + 7*w. Let n(g) be the third derivative of y(g). Find the second derivative of n(q) wrt q.\nAnswer: 42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bfb when three letters picked without replacement from {f: 6, b: 12}?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1100*s - 3771 - 1864 = -729*s - 616*s for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10224*z + 10228*z + 5*b + 90, -9*z - 73 = 2*b for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10293*y**3 - 10291*y**3 + 5*y - 7084 + 7084 - 5*y.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -1147524.013 to the nearest one thousand.\nAnswer: -1148000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 4*i - 6*i + 3*i. Let o(m) = 15*m - 2. Let n(q) = -42*q + 6. Let v(r) = -6*n(r) - 17*o(r). Let z be ((-17)\/5 - -3)*-5. What is z*a(l) + v(l)?\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the third derivative of 17*b**8\/336 + b**7\/105 - b**5\/60 - 13*b**4\/6 + 10*b**2 - 4. What is the third derivative of h(m) wrt m?\nAnswer: 1020*m**2 + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) 2  (b) -38  (c) -5  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 56  (b) 2794  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 551055070 and 606160577.\nAnswer: 6061605770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(22)\/(sqrt(4)\/sqrt(32)) + (-6*(sqrt(99) - (sqrt(99) - (sqrt(99) - sqrt(99)*-4)) - sqrt(99)))\/sqrt(9).\nAnswer: -20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7473901*y**6 + 9*y**3 + 40061323*y**2.\nAnswer: 896868120*y**3 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (12\/(-24))\/((-6)\/(-4))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -21 - -16. Which is the third smallest value?  (a) 5  (b) -3  (c) g  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00040373495 to seven decimal places.\nAnswer: -0.0004037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 11*t**3 - 7*t**2 + 4*t + 17. Let s be o(5). Suppose -s + 326 = -l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40069 at most as big as 40075?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9\/2*((-24)\/18 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**2 - n + 1. Let i(d) = -d**3 + 5*d**2 - d + 7. Let v be i(5). Determine g(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 484*i**4 - 2552*i**3 + 2308*i**2 + 2784*i + 576 = 0 for i.\nAnswer: -4\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(12) - sqrt(588))*4 - (sqrt(432) - (-1 + sqrt(432) - sqrt(432)))*-3.\nAnswer: -12*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Are -2393 and -2392 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1\/4  (b) -3  (c) -4  (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -10*g - 1193. Let k(x) = -2*x**2. Determine v(k(o)).\nAnswer: 20*o**2 - 1193","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7.18402 decades?\nAnswer: 862.0824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -56, 16, 438, 1450, 3292, 6204, 10426?\n\"Answer: 40*d**3 - 65*d**2 - 13*d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**2 - h + 3. Let d(g) = 1. Suppose -9 = 3*n + 3*l, 0 = -n - 0*n - 3*l - 13. Let a be 2*(-10 - -9) + 4*-1. What is a*d(v) + n*s(v)?\nAnswer: 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-460)\/(-2875)*-30*3\/(-3)?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -132*s + 119*s - 169 = 0 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-12)\/(x\/x**(-3)))\/((((x*(x**(-11)\/x)\/x)\/x)\/x)\/(x\/(x*x**(1\/13)*x))) assuming x is positive.\nAnswer: x**(-40\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/13237092 and -25\/5147758.\nAnswer: 92659644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -3263*v - 58. Is x(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-2\/5)\/m**(-2\/9)*(m\/m**(-2\/3))**(2\/61))**(-3) assuming m is positive.\nAnswer: m**(338\/915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -30202, -30200, -30198, -30196, -30194, -30192?\nAnswer: -30190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b**2 - b**2 + 3*b**2)*(2*b + 0*b - b + (2 - 2*b - 2)*(3 + 2 - 6) - 12*b + 15*b + 20*b) - 2*b**3 + b**3 - b**3.\nAnswer: 24*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 19 + -2. Suppose -5*m + 73 = -w. What is the remainder when m is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0\/((-3)\/((-9)\/3)). Suppose i = -k - 2, 3*a + 5*k = 3*k - 49. Let u be 21\/a + (0 - -1). Which is smaller: u or 3\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -51, -70, -89, -108, -127?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 3*r - 4. Let h(w) = w - 3. Let a(v) = -2*h(v) + i(v). Calculate a(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -51, -203, -443, -759, -1139, -1571?\nAnswer: -2043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 5*r + 2*h - h, 3*h + 12 = 2*r. Let s be ((-18)\/(-8))\/((-1)\/(-4)). What is the greatest common divisor of r and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2078636, -8314526, -18707670, -33258062, -51965696, -74830566, -101852666, -133031990?\nAnswer: -168368532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8113 is divided by 105.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7*n**2 - 12*n**2 - 6*n**2 + n + 145 - 130 - 1485*n**3 + 39*n**2 wrt n?\nAnswer: -8910","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 148382593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12711)\/(-114) - (-26 - 1586\/(-52))?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 83506037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1642940 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 7*s + 0 + 1 - 4 - 3*s + 6*s**2. Let b(q) = q**2 + 1. Let u(v) = 3*b(v) + g(v). Find the second derivative of u(w) wrt w.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the first derivative of -5*t**2 - 387. Let i(y) = -2*y. What is i(o(h))?\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -251520*t**3*u**2 + 16*t**2*u**2 - t*u**2 + 1248 wrt t?\nAnswer: -1509120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((1 + -6)\/(67\/(-201)))\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2 + 7\/((-7)\/2). Let q(c) = c**3 + c**2 + 5. Let p be q(a). Sort 0, p, 0.4 in descending order.\nAnswer: p, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 83267 is divided by 27747?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:32 AM and 7:12 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -1, 1\/7, -2\/25, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, 5, -1\/3, -26, 21?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 776695247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = y**3 - 73*y**2 - 70*y - 297. Determine c(74).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 - -7. Let t = -5 - -3. Let f = -872 + 872.1. What is the closest to l in -6, t, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -3 - q + 49*q**2 + 48*q**2 - 102*q**2. Let s(p) = -p**2 - 1. Let g(n) = f(n) - 4*s(n). Let m(a) = -7*a**2 - 6*a + 6. Determine -6*g(y) + m(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 20.8 + -21. What is the nearest to 2 in p, 1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (1 - 0)\/((-86)\/(-2696702)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4350905, -4350907, -4350911, -4350917, -4350925?\nAnswer: -4350935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -247 divided by 6?\nAnswer: -247\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/771 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*r + 55 = -23 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 72*n**6 + 6*n**5 + 720*n**3 - 21*n**2 + 44907*n?\nAnswer: 8640*n**3 + 360*n**2 + 4320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2593583 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 234684 to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 535*p - 1071*p + 531*p - 4 + 4.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b - 13 = -5*v, 3*v + 5*b - 4 = 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -22 + 21. Let c be (-6)\/(-4)*(3 + g). Solve -5*y = c*i - 29, i + y - 19 = -3*y for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p + 4*k + k + 299975, -3*k = -3*p + 899985. What is p rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7334608907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-182)\/84)\/((-6)\/(-24)) + 7. Which is the closest to 0?  (a) g  (b) -2\/9  (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*f**2 + 17*f**2 - 48*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 33542?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -7*k**3 - k**2 + k + 1. Let v be 0\/(-7) + (-1)\/1. Let m be a(v). Solve 0 = 2*i - 3*b + 2, m*i - 3*i + 3*b = 27 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 times -6083760?\nAnswer: 3041880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the first derivative of -b**4\/4 + b**3\/3 - b**2\/2 - 3*b + 12. Calculate m(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 252 - 1980. Let t = b + 2513. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*b**2 + 2*b**4 - 8*b**2)*(2 - 2 + b + (-2*b - 1 + 1)*(0 + 2 + 0 + (0 + 8 - 16)*(-16 + 2 - 2))).\nAnswer: -518*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1490 by 298.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1862567, 3725078, 5587589, 7450100, 9312611, 11175122?\nAnswer: 13037633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.01 + -0.58. Let r = y + 0.87. Let i = 2 - 3. Which is the closest to -0.1?  (a) 3  (b) i  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -66035, -132010, -197961, -263888?\nAnswer: -329791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -5*j**2 + 6. Let x(o) = o**2 - 1. Let n(u) = -r(u) - 6*x(u). Let m(a) = 4*a. Give n(m(b)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 18 + -14.5. Let m = 0.7 + d. Let k = 1.2 - m. Which is the second smallest value?  (a) 2\/7  (b) -0.3  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 111.3 - 91.3. Let s = -1 + 0. Let r = 0.459 + -0.059. Put s, r, q in decreasing order.\nAnswer: q, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 74*z - 22. Let f(o) = o**2 + 147*o - 44. Let q(i) = 3*f(i) - 5*h(i). What are the prime factors of q(-26)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 208 and 299?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -168 + 241 + (-21 - 3 - 8).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 388756, 388752, 388748?\nAnswer: 388744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ggnagnaagaagg. Give prob of picking 1 g and 2 a.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -39a5 - 1?\nAnswer: -39a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5789497 to the nearest integer?\nAnswer: 2406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-807)\/538*2\/(-6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:09 AM and 10:26 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -30\/1141 and 3\/2771.\nAnswer: 19397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/(-35)*5\/2*(-72)\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 3851, 7828, 11903, 16124, 20539, 25196, 30143?\n\"Answer: 8*p**3 + p**2 + 3918*p - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3\/87323 or -1?\nAnswer: 3\/87323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i\/(i\/(i\/(i**0\/i*i)))*i)**(-50)\/(i*i*i*i*i\/i**3*i*i\/i**4) assuming i is positive.\nAnswer: i**(-150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*s**2 - 4935*s - 4940.\nAnswer: 5*(s - 988)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -0*j - 75. What is the remainder when -2 + (-87)\/((-9)\/3) is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -615 * 0.3.\nAnswer: -184.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4261 + -4261. Which is the second smallest value?  (a) u  (b) -0.4  (c) 0.3  (d) 2\/3  (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 1 + 3 = 0. Let m be (20\/4)\/(2\/(3 + s)). Suppose 3*j + 36 = 7*j - m*f, -5*j = f - 16. Sort -3, -4, -1, j in decreasing order.\nAnswer: j, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -92948551*n**3 + 515841034*n - 1?\nAnswer: -557691306*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -61.305508 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + (1 - 56 - (143 - 159)) + (8 - -1).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4264)\/(-410) - 12\/(-20).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**3 - 3*j**2 + 3*j + 7. Let v be f(4). Suppose g + v = 8*g. Solve g*y - 15 = 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 495, 498, 503, 510, 519, 530, 543?\nAnswer: 558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*r**3*w + 93752*r**2 - 4*w + 67199 wrt r.\nAnswer: 6*r**2*w + 187504*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*b = -20*b + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 149 is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -158*s - 713 = 41*s + 481 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5587 + -2522. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 69 and 39?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 25 = -0*z + 2*i, 5*i = 10. Suppose 2*o + 3*o + z = -f, 0 = o + 5*f - 13. Which is the third biggest value?  (a) -1\/3  (b) 0.4  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2000, -3996, -5990, -7982, -9972?\nAnswer: -11960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -63 + 0 + (9 - 9) + -21 - -21.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 0 + 0)*(2*b - 2*b - 2*b) + b - b - b + b + b - 5*b + (1 - 1 - 1)*(2 - 2 + b) in the form a*b + x and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the second derivative of -f**3\/2 + f**2\/2 - 2*f. Let c be a(1). Is 5 + (c - -1) + 3 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -47706 + 67*p + 47706 + 22*p.\nAnswer: 89*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-seven fifths of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -397557, -397575, -397589, -397599, -397605, -397607, -397605?\n\"Answer: 2*t**2 - 24*t - 397535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -90 - -88. What is the nearest to t in -0.3, -17, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -31 + 1. Find the third derivative of -3*h**6 - 3*h**2 + 9*h**6 - 4*h**d wrt h.\nAnswer: 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -93\/58 + 3\/29. Let x = -0.4 - -0.9. Let w = x - 0.4. What is the nearest to w in -1, -2, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*y = 7*y - 2*x - 10, 0 = 3*x + 15. Factor y - 1\/5*u**3 - 1\/5*u**5 + 2\/5*u**4 + 0*u + 0*u**2.\nAnswer: -u**3*(u - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 541742 is divided by 49248.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -8*p**3 - 6*p**2 + p + 5. Let z(q) = -17*q**3 - 13*q**2 + 3*q + 11. Let m(h) = 7*s(h) - 3*z(h). Let y = -3 + 1. Is m(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1*10*(-12)\/(-18)*24\/10\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-56)\/(-18)*98604\/6391\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(18) + -1 - (sqrt(2) - sqrt(24)\/sqrt(192)).\nAnswer: -1 + 9*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u. Let c(d) be the second derivative of -d + 1 - 1\/12*d**4 + 0*d**3 + 19*d**2. Give n(c(f)).\nAnswer: -f**2 + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 5*q = -260, -4*v - 4*q + 0*q + 968 = 0. Calculate the remainder when v is divided by 44.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 484*u**2 + 20*u - 40. What is the thousands digit of f(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s**(-1\/18))\/s)\/s**18)\/(s**0)**(-5\/3) assuming s is positive.\nAnswer: s**(-325\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 457971 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1918 + -718. Is x a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 h when three letters picked without replacement from {k: 10, h: 4}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -2*n**2 - 14*n. Let x be c(-7). Suppose x = 4*q + 2*y - 40, 3*y + 10 = 2*q - y. Let o(f) = f**3 - 10*f**2 + 10*f - 8. Determine o(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 3*h = 1368, -t + 5*h = -0*t - 342. What are the prime factors of t?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(95) + sqrt(95) + 1*sqrt(95))*-5 + sqrt(95))\/((sqrt(5) - (sqrt(5) - ((sqrt(245) - sqrt(245)*-1) + sqrt(245) + sqrt(5)))) + sqrt(5)).\nAnswer: -14*sqrt(19)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.023 from -0.2.\nAnswer: -0.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -11  (b) 1\/25  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -5*b - 3. Is (-1 - -185) + 2 + b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g**2 + 2*g**2 + 2*g**2)*(-18 + 227 - 19) + (0 + 0 + g)*(-2*g + 2*g + 2*g).\nAnswer: 382*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 44685 at least as big as 39688?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1275868.\nAnswer: 2, 11, 107, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1\/8))**(5\/11) assuming t is positive.\nAnswer: t**(-5\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -384*t - 34942. Calculate c(-91).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o**2\/4 - 28174961*o\/2 = 0. Calculate o.\nAnswer: -56349922, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16 - 271*w + 8 + 6 - 1 + 3.\nAnswer: -271*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 8339 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1920*z + 5718*z - 1963*z - 1905*z.\nAnswer: -70*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*f - 62 = -2*d + 32*f, 0 = d - 2*f - 51. Calculate the greatest common factor of d and 4387.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3724752 divided by -51024\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the first derivative of 0*o**2 - 58 + 48*o - 11\/3*o**3. Differentiate c(w) with respect to w.\nAnswer: -22*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1111101101011 (base 2) to base 15.\nAnswer: -25b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.003149 hours in milliseconds?\nAnswer: 11336.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, l: 4}. Give prob of picking 3 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1163100 and 348930?\nAnswer: 3489300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -972*r**3 + 76*r - 323147 wrt r.\nAnswer: -2916*r**2 + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 9) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -206*z**2 - 557*z**2 - 2 + 4*z + 1052*z**2. Is f(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/13  (b) -9  (c) -4  (d) 57  (e) -2163\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -48\/131 + -4297\/786. Let f = 10155 + -2150. Let h = -96005\/12 + f. Find the common denominator of i and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-11*1\/(-1))*-11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - -16) + (16 + 11 - 14)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = 5*k - 10, 0*q - 11 = -3*q + 4*k. Suppose -q*l = 3*s - 5*s + 626, -4*s - 5*l = -1312. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 2 j when three letters picked without replacement from {z: 1, b: 1, c: 4, j: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 7781876, -1, -3.\nAnswer: -3, -2, -1, 7781876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1 and -0.3004.\nAnswer: 0.03004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -138415 (base 9) to base 15.\nAnswer: -1a252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 - 0.0148?\nAnswer: -0.4148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -12*n**2. Let b(m) = -5*m**2 + 27*m - 98. Let g(l) = 22*l**2 - 109*l + 441. Let q(a) = 18*b(a) + 4*g(a). Give q(w(c)).\nAnswer: -288*c**4 - 600*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 55804*y. Let v(a) = -23*a**2 + 2. Determine m(v(d)).\nAnswer: -1283492*d**2 + 111608","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = 3*g - 10. Suppose g = 3*j, -5*j + 6 + 4 = -5*o. Suppose 4*r = -4*r. Solve o*b - 7 + 4 = r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25 - -17 - (-2 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 563023?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 10\/21 of a week?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 46 = 46. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**3 - 2*y**2 + 1. Let z be i(1). Let s(g) = -g**3 + 7*g**2 + 8*g. Let n be s(8). Solve -5*b + 15 + n = z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 13 or 1499707?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**2 + 4*p - 1. Let y(q) = q - 12. Let s be 1*5\/(5\/4). Suppose -3*g + 29 = -s*u - 0, -5*u + 4 = 2*g. Let l be y(g). Give v(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 30*j**2 - 7954*j + 1059. Determine w(265).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 36\/(-10)*100\/(-6). Suppose 2*m - 7*m + u = -26, 4*m = u + 20. Suppose 3*g - m*g = -t. Calculate the lowest common multiple of g and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1725 in -4, 0.009, 4, 909?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 - -5e6?\nAnswer: 5e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let 39*h**4\/7 + 12*h**3 + 12*h**2\/7 = 0. Calculate h.\nAnswer: -2, -2\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.25 + 1.3. Let x = 38 - 572\/15. What is the second biggest value in 0, x, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v - 3. Let x(a) = 5*a - 15. Let n(m) = 11*f(m) - 2*x(m). Give n(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 75 = 8*w. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = a - 12, -2*a - 4 = -4*j + a. Let h(m) = -11*m + 5*m**2 - j*m**2 - 4*m + 17*m. Determine h(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -32 + 10 + (67 - (27 - -33))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes after 6:04 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of (217\/14)\/(1\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -82 - 2086?\nAnswer: -2148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccciccccccicc. What is prob of picking 2 i?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**32*h*(h*h**(-5\/7)*h)\/h*h*h*(h**35)**(-28) assuming h is positive.\nAnswer: h**(-6613\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1423534481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:46 AM and 6:10 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 6 - -3 - 11 - (-1 - (-6 + 6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15870*m**2 - 6*m**3 - 15870*m**2.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21*o + 10*o - 9*o)*((1 - o**4 - 1)*(-3 + 3 - 1) + o**4 - o**4 + 2*o**4 - 410*o + 410*o - 7*o**4).\nAnswer: -88*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 106399?\nAnswer: 103, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -78*p - 828. Let n be d(-11). Calculate the greatest common factor of n and 735.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 + (-11 - (-6 - 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - q = 5*f - 13, 5*q - 4*f = 16. Solve -3*l - 19 = -q for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 4*h + b, -5*h + b = 3*b - 3. Suppose -3*o = p - h - 9, -76 = -5*p - 2*o. Let k be (0 - 1)\/((-2)\/10). Solve -c = 5*t - 4*c + 2, -p = 2*t - k*c for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 4*w - 1. Let o(t) = t - 1. Let g be o(4). Let i be r(g). Let h(d) = -2*d**2 + 6*d - 1. Let c(f) = 4*f**2 - 11*f + 2. Give i*h(p) + 6*c(p).\nAnswer: 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -95\/4*s**2 - 1225\/4 - 5\/4*s**3 - 595\/4*s = 0.\nAnswer: -7, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 19 + 11 = 0. Solve 29 = 3*p + 5*r, 0 = -4*p - r + 12 + s for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -824079, -1648189, -2472311, -3296439, -4120567, -4944689, -5768799?\n\"Answer: y**3 - 12*y**2 - 824081*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -240111960 divided by -6?\nAnswer: 40018660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3880.99995649 + 3881. What is k rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2197.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3828 + 3103. Put -1, i, 0 in descending order.\nAnswer: 0, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(1440) - (sqrt(1440) + -1*sqrt(1440))) + sqrt(1440) + sqrt(1440) + sqrt(1440) - sqrt(1440)) + sqrt(250)*2)\/(-1*sqrt(32)*1))**2.\nAnswer: 2645\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7 + 3. Let i = 8 + o. Suppose -u - 3*u = 3*f - 17, i*f = -u + 14. Solve 2 = f*l - 2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*sqrt(25)\/sqrt(5) - (1 + -2*sqrt(5))) + 2)**2.\nAnswer: -4*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.00362562 to three decimal places.\nAnswer: 3.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 139472 a multiple of 368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -67 + 535\/8. Let d = -53.1 + 53. Let m = 102 - 916\/9. Which is the closest to m?  (a) -0.3  (b) d  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-69)\/207)\/((-2)\/(-12) - 0). Let o be (-154)\/(-63) + x + 2. Factor 2*l**2 + 2\/9*l - 2\/9 + o*l**3 + 8\/9*l**4.\nAnswer: 2*(l + 1)**3*(4*l - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 492 + -521.7. What is h rounded to the nearest integer?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is two fifteenths of a week in minutes?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3089 by -55149.\nAnswer: 3089\/55149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 52863 is divided by 13109.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3*(1 + (-1)\/(-1)). Calculate the highest common factor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.4662 and 1984600.\nAnswer: 1984600.4662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*k + 3*q, -32 = -0*k - 4*k + 4*q. Suppose -2*b - y + 36 = -k*y, y = -2*b + 39. Let u = b - 18. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*s**2 - 40*s - 1196.\nAnswer: 4*(s - 23)*(s + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.138, -0.4, 4\/3, 15\/11, 9?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -4*j - 108704, -10*v = -7*v + 4*j - 81486. What are the prime factors of v?\nAnswer: 2, 5, 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**3 + 18*t**2 - 170*t + 150.\nAnswer: 2*(t - 5)*(t - 1)*(t + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -247\/92 - -79\/23. Let t be (6\/45)\/(4*4\/72). Which is the nearest to t?  (a) 4\/3  (b) l  (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -439586624*n**3 + 879173248*n**3 - 439586623*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c**2 - 2*c - 2. Calculate a(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 2*m**2 - 12*m + 10. Let b be r(1). Suppose 0 = s + 4*s - 30. Let f(u) = -u - 4*u**3 - s + 4*u**3 + 3*u**2 - 4*u**2 + u**3. Determine f(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, -21\/772, 3\/10 in descending order.\nAnswer: 3\/10, -21\/772, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, -10, -52\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6 + -3. Suppose 15*u - 6585 + 6510 = 0. Suppose -i = u - 1, b*p + i = 2807. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4852287 - -989864579\/204. Let i = 1\/68 - b. Let d = -675 + 2098\/3. Calculate the common denominator of d and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9 - 6. Let q(r) = 2*r + 140. Let t be q(-47). Suppose -17*y + 73 + t = 0. Solve 0 = -u*i - 2*z + 18, 2*z + 11 = -i + y*z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*v + 34 = 2. Let u be (-2791)\/(-7) + v*(-1)\/7. Let n = u - 889. What is n rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 3, -1\/6, 1\/7, 0.051, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 14*n**2 - 2*n + 1. Let f be k(-2). Let x(a) = f*a + 1 - 62*a + 3. Give x(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**2 + 6 - 2*s**3 + 4*s - 5 - 2*s. What is i(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 6*l**2 + 3*l + 3. Suppose 2*s + 6 = -2. Let m be v(s). Suppose 2*y + d = 75, -4*y = -d - 72 - m. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 22*u - 26*u**2 + 10*u**2 - u**2 - 18 + u**3 + 0*u**3. Let i be q(14). Let a = -195 - i. What are the prime factors of a?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20727951 + 5909507 = -80*p + 214*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/2260730 and -21\/2648.\nAnswer: 9042920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 6060181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*o**3 + 3*o**3 + 3*o**3 + (0*o**2 - 3*o**2 + 2*o**2)*(0*o - o + 0*o) - 2*o**2 + o**3 + 2*o**2 - 6*o**3 - 6*o**3 + 2*o**3 + 7*o - 7*o**3 - 7*o.\nAnswer: -13*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 572 - 510. What is the remainder when 168 is divided by b?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -20, -6*n - 34570 = -4*n - 2*p. Let r = 241811\/14 + n. What is the common denominator of 61\/4 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2275486\/43 smaller than -52918?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 180*((-465)\/(-60) + -8)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 47803*g**2 - 1. Let l(u) = 10*u. What is b(l(w))?\nAnswer: 4780300*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 876 a factor of 10217664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30 - 30 + 5*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -216*w = -154*w - 744 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 + -20 - (5 - 1 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the third derivative of -8*s**7\/35 + s**4\/12 + 2*s**3\/3 + 50*s**2. Find the second derivative of t(q) wrt q.\nAnswer: -576*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 519973\/69 - 7536. Calculate the common denominator of i and -20\/3.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 86979.74ml in litres?\nAnswer: 86.97974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 2*p = p + 16, 0 = 2*h - p - 14. Suppose -9 = -v - h. Solve 5 = -4*g - v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 663696232 to the nearest integer?\nAnswer: 25762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -605854, -1211702, -1817550, -2423398?\n\"Answer: -605848*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1118768?\nAnswer: 2, 7, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 - 3. Suppose -j*t + 27 = t. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-14))\/(9 - 7)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 42231*t**3 - 5*t + 129276.\nAnswer: 126693*t**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from erieeilllrilge.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 14*a**3*f**2 + 2*a**3*f + a**3 + 28*a**2 + 10*a*f**2 - 2*a wrt f?\nAnswer: 28*a**3*f + 2*a**3 + 20*a*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n + 0*n - 3*n)*(-32*n**4 - 14*n**4 - n**4) - 2 - 3*n**5 + 2.\nAnswer: 91*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -2*h + 1, -d - 7 = -4*h - 2*d. Suppose -2*u - k = -43, 3*u - 3*k + h*k = 77. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 833713 is divided by 512?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 50 in 4\/7, -1\/2, 6\/7, 0.08?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l + 2*l + 0*l)*(-2*l - 2*l + 2*l**3 + 2*l) + (l**2 - 4*l**2 + 2*l**2)*(-3*l**2 + 3*l**2 + l**2).\nAnswer: l**4 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*i - 2*i - 10, -5*l + 2*i = 49. Let u = -4 - l. Suppose 4*p + 161 = u*s, 5*s - p - 164 = -0*p. What is the remainder when s is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 858351 or 858421?\nAnswer: 858421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 4*g - 8. Calculate o(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5454 by 43.\nAnswer: 5454\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/6*0 + 12. Suppose -3*j + 10 = -5*w + 4*w, -4*j + m = -2*w. Suppose 2*y + w*y - 32 = 0. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18842*w - 5*p + 8 = -18843*w, -4*w = -3*p + 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27 = -13*m + 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 9*d. Let x(z) = -3*z + 8*z**2 - 5*z + 8*z. What is n(x(b))?\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a millennium in centuries?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 80379 and 48124350?\nAnswer: 1876849650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -115\/182 and 30\/910*227 - 8.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 4 - 5)*(-5*o + 0*o + 3*o)*(5597*o**2 - 886*o**2 + 4505*o**2).\nAnswer: -18432*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*u - 20*u + 8. Find the third derivative of -32*o**6 - 4*o**u + 3*o**2 - 4*o**2 + 29*o**6 wrt o.\nAnswer: -360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 1 + 13*j**2 + 2 as z*j + a*j**2 + p and give a.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**7\/s**(-10)*s**11\/s*s**1\/s assuming s is positive.\nAnswer: s**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 - 24 = 11*f + 39. Which is the fourth smallest value?  (a) f  (b) -2\/21  (c) -0.4  (d) 4  (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5 + 7 - (1 + 6) - -5) + -10\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 508 divide 4017161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 - 0. Let m = 5 - t. Suppose c + 0 = m. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-8)*p)**(1\/39)\/(p**(2\/7)\/(p\/(p**(-6)*p)*p*p*p*p*p*p)) assuming p is positive.\nAnswer: p**(3149\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -0*u - u. Calculate the least common multiple of -5*(3 - (2 + 5)) + -4 and u.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-8)\/(-70)*7\/(-6). Sort -2, k, -2\/3 in increasing order.\nAnswer: -2, -2\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 16 = -0*c - 5*p, 5*c - 21 = 3*p. Suppose 5*u - 18 = k, -c*k = -2 - 4. Sort 3, 0, 1, u.\nAnswer: 0, 1, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3898595559 to the nearest integer?\nAnswer: 62439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -128 (base 10) in base 15?\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.67 + 0.23. Let k = m + 0.14. Let y(r) = -r - 9. Let i be y(-7). Which is the second smallest value?  (a) i  (b) 0.3  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p. Let b(l) = 3*l**2 + 56*l - 18. Let m be b(-19). Let a = -14 + 6. Let v = -12 - a. Let z(f) = -5*f + 2. Give m*z(u) + v*g(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that -a**5\/5 - 129*a**4\/5 + 57529*a**3\/5 - 3464403*a**2\/5 - 57528*a\/5 + 3464532\/5 = 0.\nAnswer: -333, -1, 1, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = -5*t - a, -5*t + a - 6*a - 5 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 133002.7145785 + 68.5?\nAnswer: 133071.2145785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 483*l - 86874. Give h(180).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (8\/6)\/((-64)\/(-144))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 11 + 1222?\nAnswer: 1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2158496 and 28384?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 188*t**2 - 423*t**2 + 117*t**2 as j*t + o*t**2 + f and give o.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -49\/116012 and -47\/203021?\nAnswer: 812084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**2 + 175*p - 172540. Calculate x(337).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 - 5 = -5*z, -3*z = 3*d - 8478. Suppose -5*b - d + 21058 = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1.3 and 19.\nAnswer: 20.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -100*x + 178970639 = 178973839 for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1 + 40\/(0 + 4). Suppose l = 5*i - 1. Let h(s) = 6*s**2 - 3*s. Does 9 divide h(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7488000 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 11, o: 2}. Give prob of sequence oox.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 1593467.\nAnswer: 4\/1593467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -8621 divided by 233?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 185123 is divided by 1638.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02 less than 293846320889.1?\nAnswer: 293846320889.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -5, 4, -3 in decreasing order.\nAnswer: 4, -0.1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-4)\/(-16)*-1)\/(2\/(-16)). Suppose 5*m = 3*x + 4*m - 5, -x + 5*m + 25 = 0. Solve x = -2*k - 0*k + v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 98541029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(-3\/10)*a*a*a**0)\/(a\/a**(-8)*a\/(a**(-10)*a)) assuming a is positive.\nAnswer: a**(-163\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 26449076 to the nearest integer?\nAnswer: 5143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 117*z**2 + 1745*z - 12*z**2 - 1743*z to a + l*z**2 + b*z and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxxxsxxxzzxxzxx. Give prob of sequence sx.\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 37039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 13477156 and 32585.\nAnswer: 67385780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15.6*-1017.\nAnswer: -15865.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -117*l - 1851. What is c(-16)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -37 - 78 + 35915*p**2 - 35914*p**2 + 10*p. Let j be w(7). Solve -4*z - 4*t = t - 15, j*z - 21 = t for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 2*y - 2. Let f be s(3). Solve -4*i + 24 = f*c, 4*c - 3*c - 5*i = -6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7686571 - 7686574 + 3*j**2 + 15373145.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -2*w. Let i(k) = -2333*k - 7. What is h(i(l))?\nAnswer: 4666*l + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -173 = -6*p - 11. Suppose -537 = 24*j - p*j. Factor -j*l**2 + 7*l + l + 151*l**2.\nAnswer: -4*l*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 2839, 10404, 22707, 39754, 61551, 88104, 119419?\n\"Answer: k**3 + 2363*k**2 + 469*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 312e (base 16) to base 11.\nAnswer: 9506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the second derivative of n**4\/12 + 5*n**3\/3 - n**2 + 423*n. Give w(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.110876 + -9.692824. Let x = -21.8046 - j. Let f = x + 12. Round f to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6*t**4 + 18456*t**3 - t**2 - 73831738 with respect to t.\nAnswer: -24*t**3 + 55368*t**2 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(-48))\/((-4)\/(-8))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = v - 1577, 36*v - 34*v + 6 = 0. Let c = 399 - p. Calculate the greatest common factor of 20 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 3 and 0.2043092?\nAnswer: 2.7956908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -82*f + 75*f + 28 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 93 divided by 31.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3927511*y + 17*y**2 + 3927511*y + 14*y**2 - 35*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that 14*i**2\/5 - 24*i + 64\/5 = 0.\nAnswer: 4\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**3 - 5*h**2 + 3*h - 1. Let j be m(-5). Let s = -12 - j. Solve -5*a = -14 + s for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**6\/u*u*u**(-11)*u assuming u is positive.\nAnswer: u**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4087*n**3 + 7524*n**3 - 1717*n**3 - 1718*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*v**4 - 23679*v**3 - 44104*v**2 wrt v.\nAnswer: -48*v - 142074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 - 6. Let s = 4 - h. Suppose -2*m - 4*w + 7 = -s*w, 0 = -5*w - 5. Solve m*d = -d - 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 46158390 to the nearest one hundred thousand.\nAnswer: 46200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1210, -1212, -1214, -1216, -1218, -1220?\n\"Answer: -2*d - 1208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 144164 - -3329?\nAnswer: 147493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**3 - 21*a**2 - 6*a + 43. Let q be d(20). Let y = q - -3342\/7. Suppose 6\/7 - y*j**3 + 9\/7*j + 0*j**2 = 0. What is j?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*v + 3*v - 11*v + 7*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5 + 3. Let c(d) = 1 + 7 - 3*d**2 - 4 + 3*d - 2*d**3. Calculate the remainder when c(-3) is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 28550138 + 48?\nAnswer: 28550187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2398 is divided by 1864?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -43*i - 181. What is j(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -18*q**5 - 26*q**2 - 6*q + 15. Let o(a) = -18*a**5 - 27*a**2 - 5*a + 13. Let z(y) = 5*b(y) - 6*o(y). What is the third derivative of z(h) wrt h?\nAnswer: 1080*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8602233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in g**2 - 683 + 683.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 1  (b) -6  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 560536738?\nAnswer: 2, 239, 1172671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -18\/254935 and 85\/125326046.\nAnswer: 626630230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(1\/3)\/((a*(a*a**(-2)\/a*a*a)\/a*a)\/a*a))\/(a**(-1))**(-18))\/(a\/(a\/(a\/(a**(-2\/5)\/a)))*a*a*a*(a\/(a\/(a\/((a**(-7)\/a)\/a))))\/a)**34 assuming a is positive.\nAnswer: a**(-7624\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-570)\/(-9))\/(145*40\/3480)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4\/95 - -103\/190. Factor 1\/4*m + z*m**2 + 0 + 1\/4*m**3.\nAnswer: m*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 182663545 to the nearest integer?\nAnswer: 13515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 100 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 4*b + 12 = -0*y, -3*y = 4*b - 12. Suppose 2*t - 3*t = y, t + 59 = m. Let p be 2\/8 + m\/4. Solve -d - d - 6 = 2*z, 5*d + 4*z + p = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 778750 and 1.7512173.\nAnswer: 778751.7512173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (74\/(-4))\/((-1)\/2). Let t = j - 20. Suppose -2*u + 47 = t. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 121 + 23 = 0. Suppose -n - r = -5*n. Suppose 0 = v - 4*a - n, -a = 0. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -134 in -2\/9, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the third derivative of -c**5\/30 + 35*c**4\/8 + 53*c**3\/6 + c**2 + 3. Calculate the remainder when x(49) is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 7510 and -0.5?\nAnswer: -3755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j + 13*g - 52 = -6*g, 7*g = 2*j + 23 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17 - 7612*a + 2*a**2 + 7565*a - 5*a**3 - 2*a**4 - 5*a**2 - a**3 + 4*a**3 to the form h + i*a + c*a**3 + f*a**4 + y*a**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*k**2*t**2 + 84560*k**2*t - 91*k*t**2 + k*t - 2*t**2 + 120 wrt k?\nAnswer: 4*t**2 + 169120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*i**2 + 0*i**3 + 3*i**3 - 19*i**2 - 20*i**2.\nAnswer: 3*i**3 - 53*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = 2*o - 15 - 1, 0 = -r + 4*o - 10. Suppose 31 = r*k + 9. Calculate the remainder when k is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50991132 to the power of 1\/2, to the nearest integer?\nAnswer: 7141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**3 + 31*j**2 - 75*j + 106. List the prime factors of a(-33).\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.3315 + -0.34837. Round p to three dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -2*f**3\/5 - 6*f**2\/5 + 8*f\/5 + 24\/5 = 0.\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2716225294 to the power of 1\/2, to the nearest integer?\nAnswer: 52117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-1\/13)\/p**(2\/23))\/(p**(-1\/6)\/(p\/(p\/(p\/(p*p**(3\/14))))*p)))**42 assuming p is positive.\nAnswer: p**(9902\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the second derivative of 0*s**2 - 13\/2*s**3 + s**5 + 0 - 1\/4*s**4 + 56*s. Find the second derivative of p(r) wrt r.\nAnswer: 120*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the third derivative of -1\/3*q**3 + q**2 + 0 + 1\/6*q**4 + 0*q. What is the first derivative of u(p) wrt p?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -284*d**4 - 1626*d**3 + 9*d + 10626697 wrt d.\nAnswer: -1136*d**3 - 4878*d**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 192\/(-336)*(-4)\/10*140\/(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**3 + 5*b**2 + 4*b + 2. Let a(u) = -2*u + 6. Let t be a(5). Let q be p(t). Solve q*c + 2*c + 12 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 104 = -3*p, -w - 4*p = -3*w + 50. What is the highest common factor of w and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23838*q**2 + 23840*q**2 - 1 + 1.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h - 1. Let p = 580 - 583. Let s(a) = -a**2 + 2*a - 4. Calculate p*m(l) + s(l).\nAnswer: -l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2655648779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(68)*-1 - sqrt(68)))\/sqrt(4).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 69, -5, -7, -0.211548?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 26 and 11500814?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*l**2 + 4*l**3 + 2*l + 2*l + 2*l - 4*l + l to the form a*l**3 + t*l**2 + p + i*l and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 4*a. Let x(m) be the third derivative of -m**4\/24 - 20*m**2. Determine z(x(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5823, -23425, -52763, -93825, -146599, -211073?\nAnswer: -287235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d + 20 = 6. Let f(s) = -17 - d*s**2 + 4*s**2 + 3 + 12 + 2*s. Give f(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p - p + 2*p)*(2*p + 0*p - p) + p**2 + 0 + 0 + 4*p**2 + 3*p - 3*p + 5*p**2 + 9 + 703*p - p**2 - 704*p.\nAnswer: 11*p**2 - p + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 700.5199 millennia to years.\nAnswer: 700519.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9\/3497 - 128174\/472095. What is the common denominator of -89\/108 and t?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 34 - (37 - 2) - (1 + 11)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 + 0)\/1 - -76. Calculate the highest common divisor of 50 and d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2777\/418 - -134\/19. Which is smaller: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s - 28 = -4*p, 2*s - p - 19 = -73 + 14 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o\/(o*o*o**10)))\/(o*o**15))\/(o*(o*o**(-24))\/o)**(-8\/5) assuming o is positive.\nAnswer: o**(-204\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + ((1 - 0) + 65 + -64 - 9) - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange i**4 + 0*i**4 + 15*i**3 - 17*i**3 - 2*i**2 + i**4 + 4*i - 4*i**4 - 4 to the form n*i**4 + o + f*i**3 + m*i + k*i**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1354632564 + 14?\nAnswer: -1354632550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-2\/21)\/(f\/(f\/f**(-1\/10))))\/(f**(-4\/3)\/f*f**(-21)) assuming f is positive.\nAnswer: f**(4901\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 270492?\nAnswer: 2, 3, 22541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/3  (b) 132161  (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -y - 31241*y**3 + y + 14038*y**3 + 15774*y**3.\nAnswer: -1429*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 102, 82, 40, -30, -134, -278, -468?\n\"Answer: -d**3 - 5*d**2 + 2*d + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:59 AM and 10:09 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 37134, 74291, 111518, 148851, 186326, 223979?\n\"Answer: 6*t**3 - t**2 + 37118*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9 + -5. Let m be (7\/2)\/((-2)\/l). Let w(k) = k + 7. Let s be w(m). Which is the third smallest value?  (a) 4  (b) -2\/3  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 702 and -4?\nAnswer: -2808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -4  (b) -2  (c) 0.2  (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1352.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**2 + 6*n - 1. Let f(c) = c + 1. Let d be f(2). Calculate the remainder when 16 is divided by i(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 4*i**3 - 12*i**2 + 17*i - 48. Let s be j(6). Calculate the greatest common factor of 6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -14690.1 + 13786. What is w rounded to the nearest ten?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -29 + 140. Calculate the remainder when h is divided by (1 - 0)\/(2\/76).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.0394 + 0.0606. What is the second smallest value in h, -4, 1.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*n**2 + 60*n - 60*n - 13*n**2 + 4*n**4 wrt n?\nAnswer: 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (4\/4)\/(1\/(-2)). Find the common denominator of ((-1107)\/164)\/(11\/g)*-2 and 10\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 20 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/6)\/(1\/(-3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = -5*d + 35, -4*c + 12*d = 11*d - 8. Suppose 6 = 176*w - 173*w. Solve c*x = w*x + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*c - 1 = i - 11*c, 0 = 5*c + 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5151 = 17*k - 61523. What are the prime factors of (-5 + k\/(-20))*(-5)\/2?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t + 25. Suppose -5520 = -3*n - 3*q, q + 0*q + 9206 = t*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -285  (b) 3.2  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {j: 11, e: 1, r: 5}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (3*-4)\/(-6)*(-1)\/4*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2349 - 2345. Let g(x) = -4*x + 2 + 0*x**2 - 4*x**2 + 5*x**2. What is g(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -697, -699, -701, -703, -705?\n\"Answer: -2*l - 695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*p - 3305 = 38*p. Suppose 0 = 660*u - p*u + 12. What is the smallest common multiple of u and (-1 + 0)\/(2\/(-30))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-432)\/40 - -9)*-305?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20430929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-168)\/(-756))\/((-1)\/(-9))*236 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(99)\/(sqrt(729)*2 + sqrt(729))*4*-1 - ((sqrt(704) + 0)**2 + (sqrt(11) + 1)*3 - (sqrt(11) + -2*sqrt(44) + 0)).\nAnswer: -707 - 166*sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 3*a = -4*o - 16, 0 = -5*a + 2*o + 8. Let c = -5 - -8. Suppose -v - c = -7. Solve a*y = v*y - 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -5*z + 6. Let y(i) = 4*i - 4. Give 3*b(x) + 4*y(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-2\/7)\/q)**(-3\/26)*q**(2\/3)*q**(-3\/10)*((q\/(q\/q**(-3))*q*q)\/(q*(q\/((q*q**0\/q)\/q))\/q))\/((q\/q**(-9))\/q*q**9) assuming q is positive.\nAnswer: q**(-27962\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 14 + -20. Let s = y - -6. Suppose -2*f = -s*f - 22. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-452)\/(-6) + -7 + 40\/6. Let y = m - 73. Suppose -2*w + p + 0*p = -16, 16 = -4*p. Solve -5*x + w = -y*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10011 divided by 3337.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {s: 3, j: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 841 is divided by 296.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 - 12. Let x be (-4)\/(-10) - (-126)\/(-15). Let j = x - n. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 257*k + 33. Is m(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence do when two letters picked without replacement from hiihidhohhohhdiidhh.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes before 12:24 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4.10744 - -0.10744. What is the second biggest value in h, -63, -2\/3, 6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000143377 to five decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10*1 - (-13)\/(1950\/(-1375))*6.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -2489*j + 1893. Let p(x) = 2489*x - 1894. Let f(v) = 9*i(v) + 12*p(v). Differentiate f(q) wrt q.\nAnswer: 7467","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 3*j - 22949 = 4858, -3*h - j + 27787 = 0. Calculate the highest common factor of h and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7169 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -2*s - 6. Suppose 3*p + 341 = 365. Let h(c) = -c - 2. Calculate p*h(q) - 3*l(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 16) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 6.224347 micrometers?\nAnswer: 0.000006224347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1  (b) 2  (c) -3  (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in 0.04, -216, 2883, -4, 0.2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2662) - -2*sqrt(2662))\/((sqrt(44)\/sqrt(2))\/sqrt(11)) - (1*(sqrt(176) + -2 - sqrt(176)) - (sqrt(176) - -4*(2 + sqrt(176))))**2.\nAnswer: -4500 - 367*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9722 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 451699.\nAnswer: 451699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-14) - (-332)\/28. What is the second derivative of -15*t**4 - q*t**4 + 39*t**4 + 9*t wrt t?\nAnswer: 144*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2338912 is divided by 74.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*t - 545 - 3935. Let o = -111 - t. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1604768 (base 9) to base 4.\nAnswer: -3121013000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -108, -200, -292, -384?\n\"Answer: -92*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 5, 2, 4 in descending order.\nAnswer: 5, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 26615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 88*r**3 - 24*r**2 + 132. Suppose 19*l + 120 = 14*l. Let u(f) = -f**3 - f**2. Let w(i) = l*u(i) + x(i). Find the first derivative of w(b) wrt b.\nAnswer: 336*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(294))\/sqrt(7))\/(-2*sqrt(384) + sqrt(6)) + -5*(-1 + sqrt(448)) + 3.\nAnswer: -598*sqrt(7)\/15 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -11466*i**2*w**2 - 2*i**2*w + 9*i**2 - 2*i*w**5 + 118*i*w wrt w.\nAnswer: -22932*i**2 - 40*i*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3613, -14463, -32547, -57865?\nAnswer: -90417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -95910 + 175868. List the prime factors of y.\nAnswer: 2, 39979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the first derivative of d**8\/336 + d**5\/60 - 3*d**2\/2 + 3. Let b(y) be the second derivative of q(y). What is the third derivative of b(a) wrt a?\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -18.716 or 1\/226?\nAnswer: 1\/226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -150 = 5*k + 5*n, 26*k + 24*k - 4*n - 145 = 49*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5359094 + -9746094. What is i rounded to the nearest 100000?\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/22 and -3 - (-2)\/192*325.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 - 3 = 5*y. Let m be (-12)\/y + 2 + 1. Suppose 4*h + 7 = 5*o, -5*o + m + 6 = 0. Solve n + h - 1 = 3*j, 5*n + 24 = -4*j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, q: 4, h: 5, p: 4, g: 1}. What is prob of picking 2 h?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q and 2 u when four letters picked without replacement from ddusqlucdduqqq?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2695353 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 44\/5 of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 28.13 + -28. Let n = u + -0.13. What is the smallest value in n, 4, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*g**2 - 7*g**2 + 15*g**2)*(g - 3 + 3).\nAnswer: 18*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cjj when three letters picked without replacement from eoejcjiaoeaa.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + -1*sqrt(192) - sqrt(192) - (sqrt(192) - (sqrt(192) - (sqrt(192)*-2 + -2 + sqrt(192)) - sqrt(192))))**2*-5.\nAnswer: -3840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42090*g = -42095*g - u - 320, 199 = -3*g - 2*u for g.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 3) + (32 - 29).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9860 is divided by 29.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 346d (base 16) to base 9\nAnswer: 20362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(88) - sqrt(88)*2)*-2)\/((sqrt(64)\/sqrt(4))\/sqrt(2))*-1*-3.\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 28352 rounded to the nearest one hundred?\nAnswer: 28400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.1 + -0.1. Let t = -16 - -14. Which is the nearest to 1\/2?  (a) w  (b) 0.5  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*0.27.\nAnswer: -0.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12017854?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10035124 and 1572.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65*g = 53*g + 96. Let l be (-2 + g\/5)*190\/(-608). What is the smallest value in -0.3, l, -2\/15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 19*b**2 + 8*b + 13. Let f be w(-3). Let h be (-3)\/(6*(-1)\/f). What is the highest common factor of h and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-19)\/(342\/(-7)))\/(1\/15*7)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 92*o**4 + 3*o**2 + 261?\nAnswer: 368*o**3 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**2 + 2*k - 2. Let v be ((-18)\/4)\/(55\/(-10) - -5). What are the prime factors of m(v)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -126*k + 9*k - 1667 + 263 = 0 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48 = 5*q - 2*q. Suppose 0*m = m - 120. Suppose m = 5*s - 0*s. What is the greatest common divisor of s and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4128878 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 32686400 rounded to the nearest one hundred thousand?\nAnswer: 32700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -b**3*o**2*w - 303978*b**3*o**2 - 32*b**2*o**2 - 3*b**2*o*w + 140002*o*w wrt b.\nAnswer: -6*o**2*w - 1823868*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 964*g**2*y**3 + 3635*g**2*y**2 - 20*g**2*y - 33*g*y**4 - 3*y wrt y?\nAnswer: 5784*g**2 - 792*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 58 = -4*h - 4*r, -43 = -2*h + 5*r. List the prime factors of 338\/h + (-1)\/7.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - (-15 - -32) - -8) + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(((sqrt(147) - (sqrt(147)*1)**2) + -1)*5 + -1 + 2).\nAnswer: -35*sqrt(3) + 739","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 3*y - 2, -y = -5*y + 4*r + 8. Solve -6*k + k - 10 = y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58*t - 109*t = 121*t + 248*t + 232*t. Find x such that 15\/4*x**4 + 6*x**3 + 9\/4*x**2 + t*x + 0 = 0.\nAnswer: -1, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 11*n**3 - 15*n**2 + 7*n + 11. Let o(j) = -5*j**3 + 7*j**2 - 3*j - 5. Let h(v) = 6*a(v) + 13*o(v). Let z be h(-2). Is -4 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -258468 by 12.\nAnswer: -21539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 413, 426, 455, 506, 585, 698, 851?\nAnswer: 1050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + g = -60. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 30 + 3. What is the highest common factor of 3 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56676 (base 13) in base 10?\nAnswer: 157098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 50500 = 4*m, 12*m - 5*v + 50518 = 16*m. List the prime factors of m.\nAnswer: 3, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*m**3 - 5*m**3 - 637*m + 244*m**2 - 243*m**2.\nAnswer: -2*m**3 + m**2 - 637*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4\/(3 - 3\/(27\/21)). Suppose 0 = y*q + 11932 - 44332. What is q rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -2*a - 22. Let o be y(-31). Solve c - o = 11*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 19952644?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -3*a**3 + 2017*a**2 - 8118*a - 1. Calculate z(4).\nAnswer: -393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-4)\/(r*r**(4\/5)))\/(r**(-1)\/r)**(2\/3) assuming r is positive.\nAnswer: r**(-67\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 1758*j + 20387. Give c(-11).\nAnswer: 1049","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3640118.\nAnswer: 2, 23, 79133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 - (8 - (15 - (-13 - -9)) - -69).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q*q\/q**(4\/5))\/q)\/(q**(-2\/5)\/q)*q\/((q*q*(q**(1\/5)\/q)\/q)\/q)*q*q*q*q\/q**0)**2 assuming q is positive.\nAnswer: q**(74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 32 + (32 - (88 + -75))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -107\/52 and 19\/2366.\nAnswer: 4732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 26453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*c = -3*c + 5740. Calculate the remainder when c is divided by 72.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -40131*k**3*l**3 + 4*k**3*l + k**2*l**4 + 1498*k**2*l wrt l?\nAnswer: -240786*k**3*l + 12*k**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1153 - 397 = 378*g. Let i(m) = m. Let z(b) = 2*b**3 - 3*b**2 - 5*b. Give g*i(j) + z(j).\nAnswer: 2*j**3 - 3*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1919*a*i - 2496*a - 20660*i - 422 wrt a.\nAnswer: 1919*i - 2496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -119\/246560 and -23\/7.\nAnswer: 1725920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -3*d**3 - 71*d**2 + 32*d + 187. Let z be v(-24). Sort 0, -2\/3, 0.4, z, -18.\nAnswer: -18, z, -2\/3, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4.2 + 4. Let u = 3128 - 3128.4. Which is the nearest to 1?  (a) -0.3  (b) u  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 c when two letters picked without replacement from ychhyhyhhhocobo.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -2 + -16 + 23 - 18\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4 - -10) + -3 - -2. Suppose -87 = -t*w - 32. What is the third derivative of 11*u**4 - w*u**2 - 5*u**4 + 8*u**4 wrt u?\nAnswer: 336*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from {g: 1, j: 1, d: 3, u: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 87 in -1\/2, 0.12, 5, -1\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q**2 - 9*q + 17. Let r be k(7). Let u be -2 + r\/(6\/8). Solve -y - 8 = -2*a, 2*a - 7 + 1 = u*y for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -28981 not equal to -29074?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -6 divided by 1101\nAnswer: -2\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*h**2 - 2*h - 53892 + 7612 - 38*h**2 - 4571.\nAnswer: -3*h**2 - 2*h - 50851","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.04 - 4.96. Let k = -4.6 - y. Which is bigger: -2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9770501?\nAnswer: 13, 47, 15991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 3*q = 2*t - 10, 3*t - 10 = 2*q. Suppose 0 = t*n - 7*n + 18. What is the smallest common multiple of 27 and n?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:06 PM and 9:26 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1644 <= 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 3 + -5 + 0 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are 34273 and 34246 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*g**4 + 46 + g**4 + 2*g + 85 - 106 + 2*g**3 to the form o*g + p + u*g**4 + l*g**2 + k*g**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 2*p - 15 - 26, 0 = p + 2*q - 24. Suppose 0 = 17*a - 12 - p. Suppose 1\/2*v**3 - 3\/2*v**a - 1\/2 + 3\/2*v = 0. Calculate v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) 0.2  (b) -0.2  (c) 3  (d) 0.078\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 109\/556134 and 43\/17?\nAnswer: 9454278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1491286.2 and 2?\nAnswer: -2982572.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ooooooooo. What is prob of picking 3 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -17*w**2. Let d(i) be the third derivative of 0 + 0*i - 1\/10*i**5 + 0*i**3 + 0*i**4 + 7*i**2. What is b(d(z))?\nAnswer: -612*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (716 - 547 + 658)*(2*r - 2*r - 3*r).\nAnswer: -2481*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4*5 + (-36576)\/1778. Which is the nearest to 0.1?  (a) 3\/5  (b) w  (c) 1\/13  (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = 4*r - 36. Suppose 3*c - r = 9. Suppose -2 = c*i - 3*d - 12, -6 = -3*i + 5*d. Calculate the highest common divisor of 14 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.10594 to 3 dps.\nAnswer: -0.106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*k**2*s**3*t**2 + k**2*s**2 - 4*k*t**3 - 3*k*t**2 - 9*s**3*t**3 + 3*s**2 wrt s.\nAnswer: 12*k**2*t**2 - 54*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*h + 3*h - 2*h)*(4*h - 5*h + 5*h) + h**2 - 2*h**2 + 2*h**2)*(-1 + 5 - 3)*(-1 - 1 - 1).\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 822 is divided by 82.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5514 divided by 5514.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 376 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 6327569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*l + 2*d - 12 = 3*l, 5*d - 92 = -62 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 70 and 19068?\nAnswer: 95340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1211 - 6975?\nAnswer: -8086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t + 1. Let j be p(7). Let x = j - 8. Suppose x = -4*z - z + 50. Solve -2*i - 2 = -z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-3*sqrt(100))\/sqrt(2))**2 - (sqrt(72) + ((sqrt(72)*2 - sqrt(72))*-5)**2 - sqrt(72)))*6.\nAnswer: -8100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkkdkkkkdkdkkkk?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ohhvuhvhuvhyhuo. What is prob of sequence hu?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -6\/2677?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + -70*(-675)\/525.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 5\/(1 + 6\/4). Find the third derivative of 2*c - 29*c**2 + 6*c**4 - d*c + 17*c**2 wrt c.\nAnswer: 144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aeea when four letters picked without replacement from eaeaa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes after 11:16 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -14 - -16. Suppose 0 = -4*s - n*w + 54, 2*w = s + 1 - 12. Let j(y) = y + 5. Calculate the least common multiple of j(-3) and s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 2*p**3 - 43*p**2 - 5124*p + 90. Determine a(-41).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k + 4*p - 16 = 0, 2506*p + 19 = 3*k + 2502*p for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3 + 1\/9*t**2 - 28\/9*t.\nAnswer: (t - 27)*(t - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 2*w = 12. Suppose -117555222 = -4*v - w*x + 238044784, 88899994 = v - 2*x. What is v rounded to the nearest 1000000?\nAnswer: 89000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.1801 - 1.4801. Let b = -35\/3 + 181\/15. Sort -78, b, 3, k in decreasing order.\nAnswer: 3, b, k, -78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 3*d**2 - 24*d - 4. Let r(q) = -q**2 + 12*q + 2. Suppose 35*h + 58*h - 156*h = -441. Give h*r(c) + 3*y(c).\nAnswer: 2*c**2 + 12*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i - 34 + 258 = 0. Does 32 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 53343\/10 - 5326. Suppose -3*d - 72 = -4*d. Find the common denominator of (131\/5)\/(d\/(-15)) and o.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 19960 and 22455.\nAnswer: 179640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -630*i**5 + 32715*i**4 + 1264240*i**3 + 1318115*i**2 + 67720*i - 19500 = 0. What is i?\nAnswer: -25, -1, -1\/6, 2\/21, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the third derivative of -3*o**3 + 0*o - 2\/15*o**5 + 0 - 225*o**2 + 37\/12*o**4. Determine l so that i(l) = 0.\nAnswer: 1\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -d - 7. What is the third derivative of 0*x**2 + 5*x**3 + 7*x**d - 6*x**2 wrt x?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 397*n - 138*n - 67*n - 2 + 323*n.\nAnswer: 515*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and -4.8.\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -q**4 + 12*q**3 - 35*q**2 - 12*q + 36 = 0. Calculate q.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 10*q**2 - q + 6. Suppose -4*y - 5*i + 9 = 0, 25*y - 23*y = 4*i + 24. Let z(f) = -11*f**2 + f - 7. Calculate y*r(v) + 5*z(v).\nAnswer: 5*v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 5, 1, -84, 6, -2, -11 in increasing order.\nAnswer: -84, -11, -2, 1, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*n = 105 - 19. Let k(p) = -141*p**3 - 3*p**2 + 3*p + 2. What are the prime factors of k(n)?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4.93 + -5. Let c = 4.93 - r. Let t = 23 - 23.4. Sort 0, t, 0.5, c.\nAnswer: t, 0, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 52\/3 of a decade?\nAnswer: 2080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 11088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j = 1129*y - 1124*y - 6, 4*j + 6 = -5*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(((t**(3\/10)\/t)\/t)\/t))\/(t\/t**(2\/3))*(t*(t**(1\/4)*t*t*t)\/t*t*t)**(3\/28) assuming t is positive.\nAnswer: t**(943\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r*r**6)\/r)\/(r\/(r\/(r\/(r*(((((r**(-1\/5)*r)\/r*r)\/r*r)\/r*r)\/r)\/r))*r)))\/((r\/(r*r**(-1\/7)))\/(r\/(r**(-2\/3)*r))) assuming r is positive.\nAnswer: r**(664\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m + 1 - 3 = 0, -2*a - 4*m = -12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 724 is divided by 142?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-128)\/6 - 276\/(-828)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 9 - 6. Let d be 5 - (2 + -1)*3. Suppose 0 = -d*b + 1 + c. Solve b*q - q + 4 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -14.6 + 14. Let z = u - 2.4. What is the smallest value in 0.1, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 35 - 4161?\nAnswer: -4124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 729.345 months in decades?\nAnswer: 6.077875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**2 - r + r. Let d(s) = s + 9. Let x be d(-9). Let b(o) = x*o - o + 2*o. Give b(c(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -9*z**2 + 3*z - 9. Let t be ((-2)\/(-5))\/(6\/30). Let u(f) = -2*f**t + 3*f - 7*f + 4 + 3*f + 6*f**2. Calculate -2*o(h) - 5*u(h).\nAnswer: -2*h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 3642 = -d, -13*k + 11*k - 10871 = -3*d. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*o**3 + 4*o**3 + 3*o**3)*(3457*o**2 + 2721*o**2 + 11078*o**2 - 3307*o**2).\nAnswer: 27898*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1342 and 2134.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -75345, -75346, -75347, -75348?\n\"Answer: -i - 75344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 49 or 97\/2?\nAnswer: 97\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 1 + -18 + -3 + 11?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1001110110000001 (base 2) to base 5\nAnswer: 2242241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -4*r, 3*t - 5*r = 6*t - 32. Solve -i + 2*v - 4*v + 3 = 0, t*v = -3*i + 11 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x + 5. Let o be d(-9). Calculate the remainder when 56 - 2*2\/o is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*v**2 + 4 - 67*v**2 - 3 - 2 - 3 as u + t*v + q*v**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, e: 4, g: 1, v: 1, s: 2}. Give prob of picking 1 n and 1 g.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1168 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*b**4 - 93*b**3 + 639*b**2 - 987*b + 444.\nAnswer: -3*(b - 4)*(b - 1)**2*(b + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes before 8:35 PM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -8401 or -8550?\nAnswer: -8401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 778195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**3 + 8*z**2 + 22*z - 13. Give b(-9).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 201606490 divided by -5.\nAnswer: -40321298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/3  (b) -7  (c) -0.14694\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = o, 0*o + 18 = 3*x - 2*o. Suppose 0*d - 37 = -w + d, d = x*w - 139. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2722 - -3152?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 1 d when three letters picked without replacement from {d: 4, p: 11, m: 3}.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 185, 1047, 3291, 7607, 14685, 25215, 39887, 59391?\nAnswer: 84417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 20142601*b*f*o*w**4 - 75*b*f*o*w + 9471*b*f*w**2 + 73*b*o*w**2 + 2*f - 24*o*w**3 wrt w.\nAnswer: 483422424*b*f*o*w - 144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -j**3 - 78*j**4 - 342 - 3*j**2 + j**2 + 680 + 220*j**4 - 333 to x*j**3 + w*j**4 + l + t*j + y*j**2 and give w.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -0.4, -22, -1686609 in decreasing order.\nAnswer: 0.1, -0.4, -22, -1686609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*t**4\/5 - 16*t**3 + 80*t**2.\nAnswer: 4*t**2*(t - 10)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**3 - 10*m**2 + 4*m - 18. Let h be t(10). Let y = 17 - -13. Let s = y - 19. Calculate the greatest common factor of s and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 41 + -21. Suppose -18*p = -b*p + 2. What is the units digit of p\/(0 - (-3)\/(171 - -3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 2  (b) 0.4  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -106 = -3*v - o, -4*v + 3*o = -2*v - 56. Let l(p) = -45*p - 55*p - 34*p + v*p. Let f(x) = -2*x. Determine f(l(t)).\nAnswer: 200*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -9, -17, 19239, -3.\nAnswer: -17, -9, -3, 1, 19239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*d*y**2 - 4506*d - 42*y**2 - 7*y wrt y.\nAnswer: -4*d*y - 84*y - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i - 2*n = 4, 0 = -3*i + n + 4 + 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p = 33407*l - 33404*l + 56, 0 = 8*l - p + 21 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 502056 (base 12) to base 13.\nAnswer: 348b97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1083014069?\nAnswer: 61, 17754329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 174 a factor of 6619097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*x + 2 = 12. Solve -22 = -4*t - 2*m, 2*m - x = m for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -14 in 2\/5, 0.1, 0.8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 151.29 + -10.29. Which is smaller: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4\/(-54))\/(1\/(-3)). Let f = 1103\/5 - 221. Let j = -0.1 + 0. Which is the nearest to p?  (a) 3\/4  (b) f  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 5*o. Let x(u) = -u. Let y = -157 - -131. What is y*x(r) - 6*h(r)?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(88) + sqrt(88) + -3*sqrt(88)))\/(sqrt(32)\/(1*sqrt(4))).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 less than or equal to 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = t - 284. Let r = -33 + t. List the prime factors of r.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**2 - 39854*u + 1035562. Calculate d(26).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the first derivative of -155\/9*f**3 + 85\/12*f**4 - 175\/12*f**2 + 12 + 245\/6*f + 5\/36*f**6 + 13\/6*f**5. Let y(o) = 0. Calculate o.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -43 - -40. Let f(v) = -5*v - 3. What is f(u)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 84*s = -i + 321, 5*i - 18*i + 5*s - 50 = -3*i - 8*i for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2539000 rounded to the nearest 100000?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -3*u + 12, 0*m + 20 = -3*m + 5*u. Put m, 52, 5 in decreasing order.\nAnswer: 52, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12*y - 31*y + 6*y - 3*y**2 + 12*y + 0*y**2 + 138 to the form o*y**2 + m*y + s and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zkt when three letters picked without replacement from bkbzbkfkttkfftbbff.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1119 - 113*c + 1119)*(2*c - 3*c + 2*c)*(c + c + 0*c) as m + w*c**2 + n*c + r*c**3 and give r.\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1141900304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -2, -5752, 2\/13, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes after 12:59 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 8108162 divided by 2\nAnswer: 4054081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**2 + 3*v - 6. Let g(o) be the first derivative of -2*o**3\/3 - o**2 + 5*o - 573. Determine 3*g(l) + 2*x(l).\nAnswer: -4*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 11925846 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*((-55)\/(-11))\/5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5253 + 5318. Solve z = -24*w - 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 2, r: 6, e: 1, k: 3}. What is prob of sequence kkr?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**3 + 13*p**2 - 25*p + 11. Let u be (-530)\/(-45) - -2 - (-22)\/99 - 3. Give l(u).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 2 y, and 1 o when four letters picked without replacement from posyy.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-six fifths of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the third derivative of 0 + 0*y**4 + 1\/6*y**5 + 0*y**3 - 24*y**2 - 1\/120*y**6 + 0*y. Factor d(i).\nAnswer: -i**2*(i - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*b - 41960 = b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1284?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -958 - -1036.4. Let p = g + -79. Let v = p + 0.6194. What is v rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*m**5\/15 - 1474*m**4\/15 - 8634*m**3\/5 - 12646*m**2\/15 + 213232*m\/15 + 97784\/5 = 0. What is m?\nAnswer: -719, -17, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 25 = 0, 0 = -2*z + 3*z + 2*y - 11. Let v(r) = r**3 + 7*r**2 + 7*r + 6. Let w be v(-6). Let u(c) = w*c - c - 8*c. Determine u(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = -k + 2*k - 44, -3*k + 32 = -5*t. What is the remainder when k is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**3 + b**2 - b - 1. Let z(i) = 3*i**3 + 6*i**2 - 5*i - 5. Let g(l) = -l - 8. Let a be g(-7). Let w = a - -2. What is w*z(v) - 5*x(v)?\nAnswer: -2*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 320, 638, 956?\nAnswer: 1274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**3\/3 - 7550*g**2\/3 + 4502431*g\/3 + 3011690.\nAnswer: (g - 6897)*(g - 655)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c + 5*f = 85, 5 + 45 = -2*c + f - 2 for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 78, 56, -2, -114, -298?\n\"Answer: -3*s**3 - s + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1 - (3 + -9) - 0. Sort -3, k, -2.\nAnswer: -3, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-144)\/(-9) - 14 - (0 + 2). Suppose t = 7*i + 7 - 42. Put -47, -3, -5, i in ascending order.\nAnswer: -47, -5, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**2 + 7*z + 6. Let d be i(-5). Let s = -5 + 9. Sort s, -5, d.\nAnswer: -5, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -3092, -6617, -10142, -13667?\n\"Answer: -3525*q + 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 37465 and 177?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 224 and 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -10*r**2 + 2363*r + 334981. What is f(336)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 57041, -1406, 4, -4.\nAnswer: -1406, -4, 4, 57041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*a + 0*a = -11713 + 11689 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 12*t + 149. Suppose 0 = -5*p - 239 + 54. Let w = t - p. Calculate the remainder when 103 is divided by w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -18118 and -18088 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 535.\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 618*o**2 - 1 - 178*o**2 + 650*o**2 + 1.\nAnswer: 1090*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 588439097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 20 - 15. Suppose 11 = x*c + 1. Suppose -c*g = 5*s - 1059, 2*g = 5*s - 3*g - 1045. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 53*k**2 - 5*k + 5. Let b(g) = -27*g**2 + 2*g - 2. Let x(i) = -5*b(i) - 2*p(i). Let n(u) = -u. What is n(x(m))?\nAnswer: -29*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -8*j**3 - 3*j**2 + 3*j. Let s(h) = 4*h**3 + 2*h**2 - 2*h. Calculate 5*s(l) + 3*u(l).\nAnswer: -4*l**3 + l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes before 6:41 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3240994?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -5*v - 6. Let q = 7751 + -7750. What is d(q)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 377158201.\nAnswer: 7, 107, 503549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -7*b - 48. Let k be h(-7). What is the second derivative of -44*x - 3 - 4352*x**3 + 14*x**2 + k + 4357*x**3 wrt x?\nAnswer: 30*x + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/24*4)\/(((-132)\/33)\/480).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -33340, -33383, -33468, -33607, -33812, -34095?\nAnswer: -34468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 6*h**2 + 104*h - 409. What is the remainder when s(-28) is divided by 72?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes after 4:11 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-5))\/(24\/(-90))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 41*s + 20. What is k(-3)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = x - 106, -4*c = -5*x + 6*x - 130. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 22180*m - 443552. Give h(20).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58*i = 11*i + 51*i - 4*b, -3*b + 20 = 2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 74, -3\/7, 2\/5, 1.8 in decreasing order.\nAnswer: 74, 1.8, 2\/5, -0.2, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 251747, 251805, 251915, 252077?\n\"Answer: 26*i**2 - 20*i + 251741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rdaxpag. What is prob of picking 1 p, 1 g, 1 d, and 1 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - 37 - (-27 - -16) - -16?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/4 of a micrometer in nanometers?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -8*y + 11. Let z be t(-2). Which is smaller: -1\/4 or z?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (5 + ((sqrt(128) + 0 - sqrt(128)) + 1 - sqrt(128)) + sqrt(128))*-3 + -1)**2.\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 588426 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 72\/1201?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*sqrt(12)*-5 - sqrt(36)\/(sqrt(12) + sqrt(192)*5)) + (sqrt(66)\/sqrt(2)*-5)\/(sqrt(110)\/(sqrt(30)\/sqrt(3))))**2.\nAnswer: 894916\/147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 52 = -13. What is the remainder when (3\/5)\/((-91)\/(-21385)) is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1358)\/6*1 - (-2)\/6. Let v = 198 + -318. Let q = v - l. Calculate the remainder when q is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -242.6 - -243. What is the third biggest value in -3, b, -17, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26119348 is divided by 1536431?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19944 = 8*t + 10*t. What are the prime factors of t?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -29 or 921271?\nAnswer: 921271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8.6 - -9. What is the third biggest value in j, -0.5, 15, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16233\/8 + -2029. Sort -112, u, 0 in ascending order.\nAnswer: -112, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/32 of a meter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 306643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 14983877 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: (0 - 7) + (80 + (-196 - -83) - (7 + 1))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 170*l + 15. Let p(k) = 21*k + 2. Let b(h) = 2*c(h) - 15*p(h). Let y(f) = -3*f + 15*f - 3*f + 4*f. Calculate y(b(a)).\nAnswer: 325*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the first derivative of p**6\/40 + p**5\/30 - p**2\/2 + 5*p + 54. Let v(i) be the second derivative of n(i). Give v(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**3 - 2*n**2 - n - 2. Let s be w(3). Suppose s*f + 0*f - 16 = 0. Is 8\/f + 1 + 0 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 56 = -5*h. What is the common denominator of (36\/h)\/((-4)\/(-49)) and 19\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 546 + -10083?\nAnswer: -9537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.024 - 9.024. Let i = -8.6 - l. Let u be 2\/(-9) + 76\/18. What is the smallest value in u, i, 0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10148 or -4455?\nAnswer: -10148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 61924 and 144282920.\nAnswer: 144282920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 + 0.0270325772.\nAnswer: -4.9729674228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 74\/1509 and -35\/27?\nAnswer: 13581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -123 - -123. Is y less than or equal to 2\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -16 + 6. Let h = 11 + v. Is h bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -2*o**3 - 37*o**2 - 20*o - 27. Let p(z) = z**3 + 18*z**2 + 10*z + 13. Let u(w) = 6*c(w) + 13*p(w). Does 3 divide u(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 137209.84 * -4\nAnswer: -548839.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/265, 1, 2\/29, -3006?\nAnswer: 1\/265","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -302 divided by -1.\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5453745 (base 10) to base 11.\nAnswer: -3095530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*s - 4*k - 6 = -41*s, 13 = -5*s - 4*k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**3 - 8*d**2 + 10*d + 11. Let s(h) = -h**2 + 3*h - 5. Let m be s(4). Let r be b(m). Factor -4*j - 11*j**2 + 4*j**3 + 8 + 10*j**r - 7*j**2.\nAnswer: 4*(j - 2)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*(l**(-3\/7)\/l)\/l*l*l)\/l*l*(l*l**4)\/l*l*l\/(l\/(l\/(l*l**(-1\/4))))*l*l*l**6\/l assuming l is positive.\nAnswer: l**(359\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7198704933.\nAnswer: 3, 7, 19, 23, 719, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 178*a - 3258*a + 380960 = 1638*a + 44*a for a.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1101110100001110 + -11?\nAnswer: 1101110100001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 3*q + 21 = 0, 0*s + 2*q = -2*s. Solve -s = l + l + t, 2 = l + 4*t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -5 - 6*z**3 + 0*z**2 - z**2 - 6*z + 4*z**2. Let q(x) = -x**3 + x**2 - x - 1. Suppose 0 = -0*r + 2*r + 10. Calculate r*q(f) + w(f).\nAnswer: -f**3 - 2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by 259.\nAnswer: -4\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 2*o - 39. Give y(22).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 10362 = 1992. What is o rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 6*h = -2*m - 16, -2*m = 3*h + 9. Let l(j) = j - 3. Let k be l(m). Let b = 88 - k. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes after 9:46 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11 + -12. Let y be (-14)\/(0 + m\/20). Suppose 2*l = -3*l + 3*o + y, 0 = 2*o. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, d: 2, v: 1, k: 4}. What is prob of sequence dq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -116 (base 8) to base 7\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 502 - 5345104?\nAnswer: -5344202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 5828405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.38 and 49.\nAnswer: 18.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 62804.37 litres?\nAnswer: 62804370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(162)*2*-5)**2 + (sqrt(128) + -2 + sqrt(128) + 0 - sqrt(128) - sqrt(128))**2.\nAnswer: 16208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 14 = -6. Let v(n) = 9*n**2 - 27*n**2 + n**h + 5*n**2. Let m(t) = 3*t**2. Determine v(m(x)).\nAnswer: -108*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*n + 6 + 8 = 0. Let c = 2.3 + -1.4. Let d = -2.1 - c. What is the second biggest value in d, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -114300 divided by -6?\nAnswer: 19050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-1698)\/(99\/(-18) - -4)?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ycpc when four letters picked without replacement from {p: 1, c: 9, y: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.682 + -0.012. Let p = -0.6700082 + f. Round p to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -3*i + 231. Calculate the smallest common multiple of 19 and g(20).\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/8*(1 + -3)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 3 + 1 = 0. Let 0*s + 36 - 2*s**3 - 36 + c*s = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.1  (b) -1\/3  (c) 0.4  (d) -138\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 3 + 12 = 0. Suppose -3*y + 82 + 17 = 0. Suppose -12 = -2*i + p*c + 13, -3*c = 2*i - y. Solve 4*d = d - i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1790534957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1052 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(605) - (sqrt(605) + 0)) + (sqrt(15)\/sqrt(3))**2*-1 + (sqrt(385)\/sqrt(99))\/sqrt(7).\nAnswer: -10 + sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2288161?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4148 + 4148 - 297*q)*(-13 + 5*q + 22 - 7).\nAnswer: -1485*q**2 - 594*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*s = -21 + 35 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/(-6) - 31\/6*-2. Let k(d) = -1027 - m*d + 1027. Let h(y) = -7*y - 5. Let o(l) = 3*l + 2. Let z(v) = -2*h(v) - 5*o(v). Give z(k(u)).\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17449424 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Total of -32015470 and 7.54.\nAnswer: -32015462.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 12*b. Let y(u) = -u**3 + 6*u**2 + 8*u + 1. Let j be y(7). Let a(x) = -j*x**2 - 4*x**2 + 10*x**2. Determine i(a(z)).\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is (9 + 1)*1153\/1 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 3516095, 3516094, 3516093?\n\"Answer: -r + 3516096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -21620*h**3 + 2451*h - 1.\nAnswer: -129720*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 4*z, -2*d + 5*z + 15 = -0*z. Suppose -2*o = 4*g - 1274, -5*g + 1585 = -0*o + d*o. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 23293909 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (4\/(-10))\/(2\/(-10)). Let f be -2*(38\/(-4) + n). Suppose 4*t = 91 - f. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((2\/42)\/((-4)\/48))\/(8\/(-3)).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/448503 and 133\/1495010?\nAnswer: 4485030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 13*u + 215. What is the units digit of f(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = f**3 + 23*f**2 - 25*f - 27. Let y(j) = -j**2 + 4*j + 53. Let a be y(11). Let b be t(a). Put b, 2, -26 in ascending order.\nAnswer: -26, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35971 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 394912243897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 2 - 2)*(h - 3*h + 0*h) - 2 + 2 + 3*h - h + 4*h - 7*h + (-1 - 4 + 3)*(3*h + h - 5*h) - 5*h + 0*h + 4*h in the form m + q*h and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1995.\nAnswer: 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -111 - -247. Suppose 12*k - 64 = -l. Let o(d) = -d**3 - 8*d**2 - 8*d + 2. Give o(k).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {b: 3, j: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1445133 less than 1445083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*h - 29 + 50 - 24)*(-2 - 1 + 2) as v + j*h and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 58230 and 15030.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kne when three letters picked without replacement from oeenk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 35*f. Let m(a) = a. Calculate m(y(c)).\nAnswer: 35*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i = -3*i. Solve i*b = 3*b - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -70408\/364095 - 2\/11745. What is the fifth smallest value in -0.2, -3, g, 6, -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 530.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-7\/4)\/b**1)**(5\/8)\/((b*b*b**(1\/4))**(-49)*(b*b*b**(4\/5)\/b)\/b**(-1\/2)) assuming b is positive.\nAnswer: b**(16997\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6810?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 315937, 315936, 315935, 315934, 315933, 315932?\nAnswer: 315931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -326 + 552. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -4*v**3 + 3*v**2 - 19*v + 3. Let u(m) = 9*m**3 - 6*m**2 + 39*m - 7. Give 7*g(k) + 3*u(k).\nAnswer: -k**3 + 3*k**2 - 16*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -t**3\/2 - 507*t**2 - 171366*t - 19307236 = 0.\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -12022103011 (base 4) to base 11\nAnswer: -a03453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*z - 9*z - 750 = 0. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the third derivative of -z**6\/80 - 21*z**5\/20 - 147*z**4\/4 - 686*z**3 + 7*z**2 - 5. Determine n, given that h(n) = 0.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the first derivative of -o**4\/4 + o**3 - o + 2. Is b(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -23*s - 50. What is q(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 193073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -75053394 divided by 5773338?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9558, 9528, 9484, 9432, 9378?\nAnswer: 9328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m = 2*f + 83, 2*f + m - 700 = -763 for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1 - 133)*(-2)\/4. Is 1\/(5\/5) + f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -16*f + 9. List the prime factors of p(-4).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 7920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 divided by -20?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -70*q - 79*q + 143*q + 42 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes before 5:18 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-9)\/15 - (-2)\/(-5). Let h = l - -2. Let c(z) = 2*z - 1. Let q be c(h). What is the second biggest value in 2, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 71*k**4 + 5*k**3 - 10*k - 96. Let j(x) = -70*x**4 - 4*x**3 + 8*x + 97. Let d(i) = 4*h(i) + 5*j(i). Differentiate d(o) wrt o.\nAnswer: -264*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 132014 is divided by 32991?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -3*n**2. Let y(r) = -189584924*r**2. Calculate v(y(t)).\nAnswer: -107827330224257328*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48 = 3*t + 36. Suppose 0 = -t*o + 9 - 1. Solve -o*z = -0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -5*u**2 + 3*u + 2. Let b(d) be the third derivative of -7*d**5\/30 + d**4\/3 + d**3 + 13*d**2. What is -3*b(w) + 8*j(w)?\nAnswer: 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k = -12*d + 67, 4*d + 3*k - 45 = -d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is bd8 + -4ad?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(500) + 0 + 2 - sqrt(500))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2042545 to the power of 1\/2, to the nearest integer?\nAnswer: 1429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 19079 - -59?\nAnswer: 19138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -108 + 225. What are the prime factors of u?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12 + -6. Let h = v + -3. Solve h*q = -3 - 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 12 = 4*r, 5*r + 2*x - 2 - 20 = 0. Suppose 0 = -r*c + 48 + 48. What is the third derivative of -4*u**2 + 11*u**4 - c*u**2 - u**2 + 6*u**2 wrt u?\nAnswer: 264*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -2196, -2179, -2138, -2061, -1936, -1751?\n\"Answer: 2*u**3 + 3*u - 2201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 3653 divide 10024210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.13035019 and -0.4.\nAnswer: -0.53035019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 628557929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -337 - -339. Suppose 5*k + 2*j - 35 = -3*j, -k - 13 = -4*j. Factor 0 - 4\/9*w**r + 2\/9*w**k + 0*w + 2\/3*w**4.\nAnswer: 2*w**2*(w + 1)*(3*w - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -6 - (6 - 68*7\/28). Solve -2*f = p*r - 16, 5*f - 3*r + 2 = -20 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y + 2*b - 17 = 0, -3*y + 2*b + 11 = 7*b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000277214459 rounded to 6 decimal places?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = 4*g + g - 95, -4*z = 20. Let c be 6*2\/g*36. Let s = c + -57\/2. Does s = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2481)\/(-21) + (-1)\/7. Let r = b - 116. Let c(k) = -5*k**2 + 1. Let h be c(-1). Put r, 5, h in increasing order.\nAnswer: h, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -179*q**2 + 173*q**2 - 2*q**3 + 26*q**2.\nAnswer: -2*q**3 + 20*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -20.01 + 19.96. Which is the closest to 2?  (a) 2\/11  (b) f  (c) -2  (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5842 + -5843. What is the nearest to 0.1 in 1\/4, 4, o, -59\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 minutes before 3:44 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -102 * -37270.7\nAnswer: 3801611.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w - 530 = -c - 510, -c + 14 = 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -2.82 less than or equal to -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 2*r = -2*c + 10, c - 3*r = -30. Let s be (-197194)\/c - (-12)\/(-54). Let h = s - 6358. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*z - 94*z - 4*z)*(7 + 43*z - 42*z + 5) - z**2 + 0 + 0 + (2*z - z - 2*z)*(-2 + 2 + 2*z).\nAnswer: -93*z**2 - 1080*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 3240  (b) 19  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-k**2 + 0*k**2 + 2*k**2)*(5 + 0 - 3) + 20*k - 7*k**2 - 20*k + 1)*(85 - 67*k**2 - 174 + 91) to u + c*k**4 + d*k**3 + z*k + h*k**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 21868 and 2149224.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 58*r - 271220 - 285812. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3421*m + 877*m + 28*m in the form c + y*m and give y.\nAnswer: -2516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -268 - 684.75.\nAnswer: -952.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 107\/4188 and -79\/34900?\nAnswer: 104700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 16 = 2*w. Calculate the least common multiple of w and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 114*x - 5. Is j(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u + 3*d - 15, -10 = u + 2*d - 4*d. What is the second derivative of 4*f**2 + 0*f + u*f + 2*f - 2*f**2 wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.1 + -2. Let x = -0.0995 + 1.0995. What is the nearest to w in x, -0.5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 730*o**2 + 13*o - 10. Is y(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = t + 9, -2*t = 2*h - 0*t - 10. Calculate the greatest common factor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -133 - -929\/7. Let x = -33 - -33.8. Let y = x - 0.5. What is the smallest value in y, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -32?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1470 + 6?\nAnswer: 1476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**2 + y + 8. Let x be k(0). Let f = 1025 + -897. Calculate the highest common divisor of x and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1464 - -1460. Which is the closest to -24?  (a) 2\/15  (b) -10  (c) g  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (76 - 399 - 237)*(4*g**4 + 2*g**4 - 7*g**4) to the form j*g**4 + a*g**3 + u*g + l + n*g**2 and give j.\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -46*n**3 - n**2*v**2 - 258*v**2 wrt n.\nAnswer: -138*n**2 - 2*n*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6 - 3 - 5*o + 5 wrt o.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5624664481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -727 by -32.\nAnswer: 727\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 40, 32, 20, 4, -16, -40?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 45994802?\nAnswer: 2, 7, 23, 142841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/4 - 108\/(-48)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -131*o**3*q**4 + 15*o**3 + 31*o**2*q**2 + 8*o*q**6 wrt q?\nAnswer: -3144*o**3*q + 960*o*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2.5 + -1. Let a = 2 - n. Let v(r) = -2*r. Let j be v(-2). Put j, -5, a in decreasing order.\nAnswer: j, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**2. Let p(c) = 645*c**2. Determine u(p(q)).\nAnswer: 416025*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.2, 0.1, -0.3, 1\/2, -5\/12?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 30132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -3*n**3 + 2*n + 11. Let a(i) = -13*i**3 + 9*i + 44. Give -2*a(z) + 9*y(z).\nAnswer: -z**3 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.044  (b) -2  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the first derivative of 1\/7*f**2 - 4\/21*f**3 + 0*f - 5 + 1\/14*f**4. Find t, given that a(t) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*g - 8*g + 0*g + 0*g - 2*g**3 + 3 + g**2 as y + b*g**3 + w*g**2 + d*g and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 - -12366486?\nAnswer: 12366502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2183 is divided by 156?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.02 - -1.98. Let k = 0.2 - 0.7. Let i = k - -0.8. What is the nearest to -1 in -1, i, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4144206 divided by -33\nAnswer: -125582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the first derivative of b**2\/2 + 1. Let m be a(6). Is ((-2)\/3)\/(m\/(-216)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 118165 is divided by 39381.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 l when two letters picked without replacement from blabq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -2*z**2 - 84*z - 23. Let t be p(-42). Suppose 5*y = -108 - 7. Is t < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:23 PM and 1:54 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 1, z: 2, b: 6, f: 2, i: 1, h: 7}. What is prob of sequence bfhh?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-38)\/(-912)*16)\/((-1)\/2).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -51375, -92648, -133921, -175194, -216467?\nAnswer: -257740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 6*m - 20. Let q be u(6). Suppose 6*g - 5*g - q = 0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -72 + 332. Suppose j + d = 3*j. Let z = -113 - -165. Calculate the greatest common factor of j and z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 472 and 717204?\nAnswer: 1434408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + -4 - (-2 + 4) - 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange j**2 + 1122484*j + 2 + 31*j**4 - 1122484*j - 6*j**3 to the form q*j + p*j**3 + m + w*j**2 + c*j**4 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38*o + 51*o + 92*o + 32*o.\nAnswer: 137*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*k**3 + 812*k**2 + 2*k*m**2 + k - 34883*m**2 + 49 wrt k.\nAnswer: -6*k**2 + 1624*k + 2*m**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 (base 5) in base 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 0 = -2*r. Which is the third smallest value?  (a) r  (b) -1.3  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*q**5 - 103*q**3 - 17496*q**2 wrt q?\nAnswer: -180*q**2 - 618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j - j = 2*w - 42, -j - 23 = -3*w for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 11\/48?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.4540372 months in decades?\nAnswer: 0.02045031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the first derivative of -p**4\/4 - 5*p**3\/3 - 5*p**2\/2 + 3*p + 6. What is the common denominator of a(-4) and -19\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -2*o + 69. Let t be m(19). Suppose -7*g = -t + 17. Let u be 0\/(0\/2 - -1). Sort 3, g, u in ascending order.\nAnswer: u, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 8 + 2 = 0. Let y(h) = -5*h + h + 3*h + h**g. Let l(s) = -9*s**3 + 6*s. Suppose -2*c - 17 = 5*u, -2*c + 3*u = 8 + 1. Give c*y(f) - l(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 303*l**2 + 9267 wrt l?\nAnswer: 606*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**2 - 6*s + 3. Let c(h) = -5*h + 2. Suppose 21*r = 20*r + 3. Give r*c(y) - 2*x(y).\nAnswer: -2*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 14 divided by 6355940\nAnswer: 7\/3177970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*u**2 + 147*u - 150.\nAnswer: 3*(u - 1)*(u + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -44203 (base 7) in base 3?\nAnswer: -120012021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 2) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Do -863522 and -863522 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 421 divided by -10033\nAnswer: -421\/10033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1978.049 and -3.\nAnswer: -1981.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**2 + 8*o + 19. Let p be c(-5). Suppose 0*t = t - p*t. Are 14\/17 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16\/20*(-9)\/15*50\/4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express m + 166*m**3 + 0 + 2 - 167*m**3 + m**2 as o*m**2 + u*m**3 + l + r*m and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.3769 rounded to 1 decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 49b + -19ca?\nAnswer: -152e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -326*m + 1729. Give u(5).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2141128, -2141136, -2141144, -2141152?\nAnswer: -2141160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -490, -514, -552, -604?\n\"Answer: -7*z**2 - 3*z - 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -9479 + a64?\nAnswer: -8715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 + 7. Let p be 65\/(-7) + x\/14. Let w = 16 + p. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 181973?\nAnswer: 11, 71, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -19613 + 38163. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1050) - -1*(sqrt(1050) + sqrt(1050)*2 + sqrt(1050))) + 1*sqrt(1050)*-3)\/(5*(sqrt(864) + 1*sqrt(864)) + 1*2*sqrt(864)).\nAnswer: 5*sqrt(7)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 24\/108 - (-1256)\/18. Calculate the least common multiple of 100 and ((-28)\/v)\/(1\/(-375)).\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (9 - ((-2)\/(-30))\/(14\/1715))*-15\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 3380447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 412572.6 nanometers in micrometers?\nAnswer: 412.5726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -27 - 11*a - 7 - 7 + 4 + 26*a as d*a + c and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11)\/1 + -20 + (15 - 8 - -7).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -84 - 36 = -4*u. Suppose 27 + u = 3*b. Calculate the remainder when 37 is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*k + 2 + k - k**3 - 1 + (-3*k - 1 + 1)*(-199*k**2 - 57267*k + 57267*k) in the form s + q*k + n*k**2 + d*k**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - ((-37 - -43) + 35)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 6*z - 6. Suppose 25 = 3*q - 8*q. Let o(u) = -2*u + 2. Let b be ((-2)\/4)\/(1 + 62\/(-64)). Determine b*o(i) + q*m(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -183361971*b - 569805714 wrt b.\nAnswer: -183361971","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -54460 by -1622.\nAnswer: 27230\/811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -462533 bigger than -462534?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) -0.4  (b) -25  (c) 3  (d) -1  (e) 1\/38\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*n + 41 = 20. Let z = -11 - -15. Which is the nearest to -1\/3?  (a) n  (b) z  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6\/13 or -476?\nAnswer: -476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4498 by -4498.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 9900815423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 281436 + 195709 = 9220*q - 29955 for q.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - (-2 - (-3 + 4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 1 + 0)*(2*n**2 + 1 - 2*n + 4*n - 3*n) as p*n + y*n**2 + k and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1699120152?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the first derivative of y**3 - 3*y**2 + 2*y - 95. Let r(m) = -3*m**2 + 5*m - 2. Calculate -5*g(o) - 6*r(o).\nAnswer: 3*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2579 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 327 minutes after 6:40 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-5 + 0)\/(-5) + 54\/(-1). Let c = -37 - f. Suppose -9*q + c = -q. Solve -q*t - 30 = 5*a - 4, -12 = 3*a for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c**4 - 2449*c**3 - 64181*c**2 - 418275*c = 0. Calculate c.\nAnswer: -13, 0, 2475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -647 divided by 2510.\nAnswer: -647\/2510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 20493 and 693.\nAnswer: 143451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -3*t**2. Let o(y) = -69*y**2 + 0 + 67*y**2 + 0. Calculate k(o(m)).\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**2 - 4*p + 17. Suppose -222 = 25*u - 99*u. What is l(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 679.00219 - 679. Round v to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (27 - 19) + (115 - 115 - (-1 - (-1 + -1)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 267 + 91*q - 532 + 264 in the form y*q + u and give y.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = -4*t + 338, j = 4*t - j - 324. What is the least common multiple of 18 and t?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 29*m + 150. Let r be i(-6). What is r rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -674 - -714. Which is smaller: 47 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 22079 - ad?\nAnswer: 21fcc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -6*u**3 + 11*u**2 - 11. Let y be (((-66)\/18)\/11)\/(398\/132 + -3). Let h(c) = c**3 - 2*c**2 + 2. Give y*h(r) - 4*j(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -170, -58, 10, 4 in increasing order.\nAnswer: -170, -58, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from llllllllllzllllllll.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 27779324.24 to the nearest ten thousand.\nAnswer: 27780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 2097905, 8391606, 18881107, 33566408, 52447509?\n\"Answer: 2097900*z**2 + z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1573) + -2 + sqrt(1573) + -1 + (sqrt(1573) + -2 + -5 - sqrt(1573)) + 1*(sqrt(1573) + 1 + sqrt(1573))*4 + 0)*3)**2.\nAnswer: -11880*sqrt(13) + 1416024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (10\/6)\/(3\/(-9)). Let q(j) = -1 - j**2 - 20*j + 6*j + 6*j + 4*j + 0*j. What is q(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes after 3:52 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 11029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.06 + -6.94. Which is the nearest to g?  (a) -0.3  (b) 0.3  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -73*p**3 - 3*p**2 + 1 wrt p?\nAnswer: -438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 60.31438ug?\nAnswer: 0.00000006031438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w + 4 - 4)*(35*w - 66*w - 32*w) + (-26*w + 3*w - 3*w)*(4*w - 3*w - 2*w).\nAnswer: -37*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 43 - 39. Let w(m) = -m**3 - 7*m**2 + 3*m + 6. Let d(z) = 6*z**3 + 36*z**2 - 14*z - 31. Let h(p) = 2*d(p) + 11*w(p). Does 8 divide h(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -342340 - -4?\nAnswer: -342331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.05 in 1, -1\/8, 0.5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -6*g**3 - 3*g**2 + 2*g + 2. Let l be i(2). Let a(p) = -27*p - 4. Let v be a(-3). Let j = l + v. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**3 + 199*b**2 - 365*b - 1572. Calculate p(197).\nAnswer: 4141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*b**4 - 5*b**2 + 5*b**2)*(-2 + 2*b + 2).\nAnswer: -26*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/8 - (-5358)\/24. Suppose 42*a + r = 43*a. List the prime factors of a.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, 2, -4, 1, 626, 42 in decreasing order.\nAnswer: 626, 42, 16, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.2 + 0.3. Let w = -0.29 - -29.29. Let f = w + -28.5. Put f, a, -2\/11 in increasing order.\nAnswer: -2\/11, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -3*n + 24, 5*n - 4*d + 21 = 58. Let f(s) = s**3 + 8*s**2 + 6*s - 2. Let x be f(-7). Solve -n*j = -x - 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 2*y**2. Let d(a) be the third derivative of 1\/10*a**5 + 0*a + 5*a**2 + 0 + 0*a**3 + 0*a**4. Calculate p(d(r)).\nAnswer: 72*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-84)\/63*27\/(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/q**(-2))**(-9))**33\/((q\/(q**(-3)\/q))**(7\/6))**(-1) assuming q is positive.\nAnswer: q**(-5311\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 40 = 3*o, -4*q + 83 - 91 = o. Let k = 18 + -17.5. Which is the third biggest value?  (a) k  (b) -4  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**3 + 6*t**2 + 18*t - 2. Give o(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 8  (b) 3  (c) 70934\/7  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 123281 and 23?\nAnswer: 2835463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -31*p + 17*p + 14*p + 9*p**3 + 13 wrt p.\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from llxllylyyy. Give prob of sequence xlll.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 4*j**3 - 3*j**2 + 5*j. Let d(f) = -2*f**3 + f**2 - 2*f. Let y(h) = -5*d(h) - 2*z(h). Suppose -4*b - 5*k = -17, -4*k + 2 = 4*b - 2*k. Determine y(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gi when two letters picked without replacement from ifgfjgd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 284\/1278*(-18)\/22.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 2542 divide 7679382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -19, -19, -29, -55, -103, -179?\n\"Answer: -b**3 + b**2 + 4*b - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -0.034, 2\/7, -2 in ascending order.\nAnswer: -2, -0.034, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b + 5*b + 114. Let v be b - 3\/(9\/(-6)). Is 6 a factor of (-8)\/v - 140\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the second derivative of -b**4\/6 - b**3\/3 + 2*b**2 - 2*b. Find c such that r(c) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31702289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 4*x**2 - 3*x - 1. Let n be k(-2). Suppose 0 = -2*t - t - n. Let b be 0*((-14)\/(-8))\/t. Put -1, -5, b in increasing order.\nAnswer: -5, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 123\/11 or -6459?\nAnswer: 123\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -ea7d5 - 1?\nAnswer: -ea7d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) 13  (b) -0.037  (c) -478\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2683585949.1 plus 0.13?\nAnswer: 2683585949.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-46)\/40 + 15 + 146\/(-10). What is the third smallest value in -0.196, -0.4, d?\nAnswer: -0.196","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/8 - 1)*605\/1210.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8 + 14. Let b = 27\/238 - 2269\/595. Calculate the common denominator of b and 2 + 109\/a + 1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 - -1. Let f = z - -4. Let k = 9 + f. Solve 5*u + 2*x - 19 = -2*x, -k = -4*u - x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(26)\/sqrt(2) + -5)*2)**2.\nAnswer: -304 + 80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -1 - 7*k + 12 - k**2 + 0*k**2 + 12*k. Let m be z(6). Suppose -m*r - 109 = -449. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 9301*u - 530296. What is y(57)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26555 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the first derivative of 5\/2*p**2 + 20 - p - 1\/3*p**3. Calculate r(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 5 - 3)*(-4*l**2 + 5*l**2 - 2*l**2) + 4*l**2 + 2*l**2 - 5*l**2 + (2*l**2 + 2 - 2)*(-45 - 28 + 29).\nAnswer: -89*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -91 = 7*h + 7. Let o be (120\/(-16) - -1)*h. Calculate the greatest common divisor of o and 364.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 16*c*h**3 - 16*c*h**2*r + c*h**2 + 2*c*h*r + 8*c*r - 53*h**3*r - 3 wrt h?\nAnswer: 96*c - 318*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 230122009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -238*b + 75*b**2 - 176*b**2 + 93*b**2 to the form v*b**2 + d + z*b and give z.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2*(-6)\/(-18))\/((-2)\/(-12)). What is the tens digit of (u + 51*-5)\/((-2)\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -2*u - u**3 + 4*u**2 + 2 + 2*u - 3*u. Let i = 5 + -2. Let y be t(i). Solve -2*n + y = 4*o, 2*o - 6*o = -4*n - 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 8*r**2. Let x(v) = 416*v - 6. What is m(x(u))?\nAnswer: 1384448*u**2 - 39936*u + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1\/88 + 23\/88. Let j = -37\/40 + 9\/8. Let h = -2.5 - 0.5. Put 5, r, h, j in ascending order.\nAnswer: h, j, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 947.69 + 0.3.\nAnswer: 947.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -173 (base 10) to base 3\nAnswer: -20102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4542382251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2747537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -29 - (26 + -13 + -13)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = -3*k - 37552 + 366055, 3*k - 328509 = -2*b. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -37193.8 - 0.083\nAnswer: -37193.883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d**2 - 8*d - 5. Let f(s) = 3*s**2 + 23*s + 14. Let l(z) = -3*f(z) - 8*j(z). Let r be l(-4). What are the prime factors of (r\/5)\/(3\/75)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the first derivative of -2*z**5\/5 + 3*z**4\/2 + z**3\/2 - 5*z**2\/2 + 3*z\/2 - 73. Solve y(t) = 0.\nAnswer: -1, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -212330 (base 4) to base 16\nAnswer: -9bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -168*q + 15 = -173*q. Let u be -8 + 83 + -1 + 0. Find the common denominator of (u\/24)\/(q\/2) and -75\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 80e + 5a?\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*w - 26*w - 13910 = 75*w + 79*w for w.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 54 - 13. Let u = -9 + g. Let n = u - 31.6. Which is the biggest value?  (a) n  (b) 2  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -0.076, 0.06, -1\/3, 2\/3, 4 in descending order.\nAnswer: 4, 2, 2\/3, 0.06, -0.076, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.24 in 0.15, -1\/29, -1\/17?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 4*k = -6 + 14, -3*g + 9 = -3*k. What is the third derivative of -2*r**2 - 42*r**5 + 5*r**2 + 2*r**g + 2*r**2 wrt r?\nAnswer: -2520*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 989 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -185\/1848 and -1\/32.\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2406725 is divided by 85.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let d be (19 - -1)*12\/15. Suppose -o - d = -5*o. What is the smallest common multiple of 14 and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -35231 (base 6) to base 3\nAnswer: -20221101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 2*x**3 + 8*x**2 - 2*x + 3. Let f(c) = -c**2 + 1. What is 2*f(t) - m(t)?\nAnswer: -2*t**3 - 10*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the third derivative of -13*g**6\/40 + 13*g**4\/24 - 1343*g**3\/3 + 162*g**2 + 2. Differentiate y(d) wrt d.\nAnswer: -117*d**2 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1 + 211243014041?\nAnswer: 211243014042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*n**4\/2 - 88*n**3 - 58*n**2.\nAnswer: -n**2*(n + 58)*(3*n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 77 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 22770 a multiple of 1035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 5 = -2*w. Let j be (4 + 0)*(-2)\/w. What is the units digit of 2 - -5*(-4)\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, t: 2, o: 2, f: 4, e: 4, p: 1}. Give prob of picking 2 t, 1 k, and 1 p.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the first derivative of 17*g**3\/3 + g**2 + g - 3. What is the lowest common multiple of 22 and x(-1)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*x - 2*x - 4*x)*(1 + 0 + 2)*(-1340*x + 5493 - 5493).\nAnswer: 12060*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1002 (base 3) to base 9.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -6*f - 4. What is the least common multiple of 14 and u(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 42 - 8. Is 32\/6*459\/b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 19744 and 39488?\nAnswer: 39488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1 - (-2 - -1))\/(-1). Let t be (2\/24)\/(((-2132)\/78)\/41)*-8. Put -2, -4, t, n in descending order.\nAnswer: t, n, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 = -s - 0*r + 2*r, -69*s + 67*s - 10*r + 64 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 3*j + 2*j - j**2 - 2*j**3 + 4 - 4*j. Let s be r(-4). What is the highest common factor of s and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 68 + (0 - -19) + 25 + (-19 - -7).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g + u + 3985 + 152, 4*u = -5*g + 10323. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -2*(-1 + 2) - -4. Suppose 2*n = -5*b + 17, 0 = -2*b - 2*n - k*n + 10. Suppose -156 = -b*z - 3*f, 5*z + 2*f - 228 = 20. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*v + 16 = -16*v. Let d(p) be the first derivative of 6 + 1\/2*p**v - 1\/4*p**4 - 2*p - 4\/3*p**3. What is d(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -209, -5, -2 in decreasing order.\nAnswer: -2, -5, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -21 + 24. Suppose -3*z + 6*c + 155 = c, 0 = -2*z + m*c + 105. Does 8 divide 160\/(-6)*z\/(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 119827 is divided by 427?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*p**4 + 12*p**2 + 19*p**2 - 10 + 8 + p + 114*p**2 as w*p**4 + c*p + q*p**2 + j + o*p**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -194788 times 0.37?\nAnswer: -72071.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -522496, -1045120, -1567744, -2090368, -2612992, -3135616?\nAnswer: -3658240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(-12))\/(-1) + (-1)\/2\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/7*(-28)\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o, 1 g, and 1 v when three letters picked without replacement from ggmsxsvo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3.8 + 0.8. Let t = -1.772 + -0.228. What is the biggest value in t, -0.1, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 i when two letters picked without replacement from {w: 1, i: 3, h: 3, e: 5}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8732.083um to kilometers.\nAnswer: 0.000008732083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000001703 to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**3\/2 - 1251*p**2\/2 + 192780*p + 1786050.\nAnswer: (p - 630)**2*(p + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + (-6 - (6 - 6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (o + 2*o - o)*(3*o + 4*o - 6*o) + (-o + 0*o + 2*o)*(4 - o - 4) + 3*o - 3*o - 2*o**2 - 3 - 4*o**2 + 3.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.9?  (a) -2\/309  (b) 1  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 52 - 37. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (12 + (-5 - -3))*1. Let y be (0 + (-30)\/(-4))*2. What is the greatest common divisor of y and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 2*s**3 + s + 1. Suppose 5*b - 100 = 10*b. Let l = b - -18. Determine f(l).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 29103\/5960 - 6\/745. Let o = 5 - m. Let u = o - -9\/56. What is the third biggest value in u, -5, -2, 3\/16?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -2*q**2 - 10*q + 4. Let r be j(-5). Solve 4*k + 5*h = -0*k + r, 2*h + 1 = k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1225 - -13448. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/(-230)*95\/1558*41.\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -a + 28*a**2 - 10*a**3 + 3*a**3 + 0*a**4 + a**4 - 23*a**2 as v + r*a**4 + h*a**3 + p*a + m*a**2 and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (5*sqrt(209)\/(sqrt(22)\/sqrt(2)))**2 + 5.\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j**2 - 73*j + 686. Give q(60).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/(17\/(-730 + -18)). What is the greatest common factor of d and 432?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 331 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1796?\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.2 + 5926.61408087.\nAnswer: 5924.41408087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the second derivative of -f**2 + f. Let k(w) = -w - 2. Calculate -2*k(j) + p(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ui when two letters picked without replacement from iiu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-22)\/8 - -3 - (-3)\/4. Sort v, -1, 3, -4.\nAnswer: -4, -1, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7117731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1450075 or -1450070?\nAnswer: -1450075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g + 2*p + 10 = 0, -6 + 44 = 5*g + 2*p for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/3*(-27)\/36)\/((-3)\/(-72)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 449517*f**3*z**2 - 110*f**3 + 2*f**2 - 2*z**2 + 471 with respect to z.\nAnswer: 899034*f**3*z - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 606\/15 - (-12)\/20. Let r = y + -22. Let g be (-3 + 3)\/(-2 - -1) - -19. Calculate the greatest common divisor of r and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*u**2 + 0 + 0)*(-2*u**3 + 3*u**3 + 0*u**3).\nAnswer: -8*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, 4\/11, 0, 0.0046 in ascending order.\nAnswer: 0, 0.0046, 0.2, 4\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13 is divided by (-9)\/(5 + (2 - 8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -110, -225, -348, -485, -642, -825?\n\"Answer: -p**3 + 2*p**2 - 114*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - 2) + 0 + (-1399 - -1409) + 13\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + 2 + (0 + 7 - 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00046365018 to six decimal places.\nAnswer: 0.000464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -62d + -399?\nAnswer: -9c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1.5  (b) 2\/17  (c) 9  (d) 61  (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 566593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p + 1. Let f(o) = o**2 + o + 8. Let s(q) = -f(q) + 6*w(q). List the prime factors of s(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -998, 0.5, 1.3?\nAnswer: -998","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 1 + (-468)\/114.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -174 divided by -3\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r + 3*p + 31, 4*r + 4*p = 3*r - 24. Sort r, 2, -30 in descending order.\nAnswer: 2, r, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 25463676, 25463674, 25463672, 25463670, 25463668, 25463666?\n\"Answer: -2*d + 25463678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-8)\/(-18) - 36316\/63. Let z = p + 591. Solve z*j = 13*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 471, 465, 447, 411, 351, 261?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 26*x - 35*x - 6*x**2 - 9*x**2 + x**3 - 7*x**3.\nAnswer: -3*x*(x + 1)*(2*x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:45 AM and 10:35 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4109*w**2 - 30*w - 4109*w**2 - 20*w**3 wrt w?\nAnswer: -120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10316 - -1218. Does 79 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d\/(d\/d**(-1\/3))))**(4\/17)*d*d*d**(1\/10)*d**(1\/5))\/((d\/d**(1\/4)*d*d)**(-42))**(-49) assuming d is positive.\nAnswer: d**(-1442506\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 2612 = -4*x. Let k = 2143 - x. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**2 - 5*s - 7. Let x be w(6). Let a(v) be the first derivative of 2*v**3 - v**2\/2 - v + 21. What is a(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bwblwbchbhcllbbhmhl. What is prob of picking 1 h and 1 l?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102*w = -339 - 335 - 550 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7*k - 11*k + 0*k)*(-k - 15 + 8 + 5) as n*k**2 + l + g*k and give g.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -36 in -0.5, 2\/5, -1\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1020845 and 107.\nAnswer: 109230415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-10)\/6*74\/(-1110). Let m = 1.2 + -0.2. Suppose 4*p = j + 18 + 4, -3*j = -p + 11. What is the closest to 1 in m, n, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 0.5, 48819465 in ascending order.\nAnswer: -0.4, 0.5, 48819465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -8*l - 136. Let r(b) = -9*b - 135. Calculate -7*n(p) + 6*r(p).\nAnswer: 2*p + 142","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2796.\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m = 4*q + 26, -17*m - 41 = -2*q - 12*m + 37 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-1)*-3*((-8)\/(-112))\/1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -0*d + 360. Suppose 0*g + 4*k = -3*g + d, -3*g = -3*k - 69. Suppose 0*a = -2*a + g. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {e: 8, p: 5, r: 5}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**3 - 3*k**2 + 13*k - 9. Let s be q(-6). Let v = 435 - s. Suppose -v = -3*z + 294. List the prime factors of z.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 3 - (1566 + -1555).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 91*i**2 - 268*i**2 + 95*i**2 + 1133*i**3 + 84*i**2 as j*i**3 + h + c*i + v*i**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -10801888 times 0.4?\nAnswer: -4320755.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*q - 66 = -119 - 288 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-262)\/(-655))\/(2\/(-5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8 and 1826\/(-498)*-20*6\/4.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 + 252330506?\nAnswer: 252330503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-15)\/75)\/(18\/20). Put -4, -3, 0.2, f in decreasing order.\nAnswer: 0.2, f, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + a = -49, 4*i - 2*a - 54 = 2*i. Calculate the remainder when (65\/(-4))\/((-1)\/4) is divided by i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 280 = 3*a - 2*r, -364 = 8*a - 12*a + 5*r. Calculate the remainder when 3154 is divided by a.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 + -14. Let y = -19.7 - w. Which is the third biggest value?  (a) 1\/3  (b) y  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 12 + -21. Let x be (-24)\/k + 5\/15. Suppose 2*l + 0*t - t - 13 = 0, 0 = -x*l - 2*t + 37. What is the greatest common divisor of l and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 409\/12 - (91650\/(-936) - -98)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 7 - 15b5a0?\nAnswer: -15b596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 313 + -161. Suppose v = -4*f + 468. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60 a factor of 2529787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 divided by 4?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(-2) - 2\/(-4). Let d be 44 - k - -1 - 0. Calculate the greatest common factor of 18 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 20710 - 20708. Factor -3\/5*u + 0*u**p + 3\/5*u**3 + 0.\nAnswer: 3*u*(u - 1)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**2 + 2*o + 3. Let c(b) = b**2 + 3*b + 4. Let v(i) = -5*c(i) + 6*z(i). Let y be v(2). Is (12\/(-9))\/y*381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4.8 > -2.738?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 789768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 39000 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002403 rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (0\/2)\/((30\/10)\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1400788793 take away 1.4?\nAnswer: 1400788791.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 3520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*q - 6 + 6 + 62*q as b*q + k and give b.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 96*t - 2010 = 106*t. Are -204 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c - 4*v + 7225, -6*v + 2*v - 4810 = -2*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 158 = 30. Suppose 10*h - 2*h = m. Suppose 3*j + h*j + 63 = 0. What is j rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v**3 + 5*v**2 + 5*v - 5. Let j be t(6). Let q be 50\/4*(-1 + j\/5). What is the units digit of (q\/(-15))\/(38\/36 - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 3 = 5*h + 71, -h + 3*w = 22. Let d be 1*104\/h + 7. Which is the smallest value?  (a) d  (b) 0.2  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:47 AM and 1:35 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 304*j**2 - 149*j**2 - 155*j**2 - 187*j**3 + 838*j**3.\nAnswer: 651*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13 + -6. Let x(t) = 3*t**3 + 4*t**2 - 11*t - 12. Let z(g) = -57*g + 78*g - 4 - 5*g**3 + 12 + 15 - 9*g**2. Let m(h) = 7*x(h) + 4*z(h). Give m(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4761 and 146406.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3080 = -0*a + 4*a. What is a rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 163375?\nAnswer: 5, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -46624, -93110, -139462, -185680, -231764, -277714?\nAnswer: -323530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 676 - 110?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/10 and 244\/(-320) - 3\/(-15).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -120 - -123. Suppose g - 360 = -b, -5*b = -5*g + i*g + 741. List the prime factors of g.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 2*c + 104 = -0*n, -n + 23 = -3*c. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10602 is divided by 392?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -830 + 800 = 6*j. What is the units digit of (930\/2 - (j + 1)) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o + 22. Let k(g) = g**2 - 6. Let f be k(-4). Let j be l(f). Solve 0 = p + x + 8, -p - j = 3*p - x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8\/7*h**3 + 2\/7*h + 0 + 10\/7*h**2.\nAnswer: 2*h*(h + 1)*(4*h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 3*p + 2. Let y(b) be the second derivative of -14*b + 5\/2*b**2 + 7\/6*b**3 + 0. What is -5*l(k) + 2*y(k)?\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -19?  (a) -0.248402  (b) -5  (c) 1\/5  (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.753 to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 235335 and 329469?\nAnswer: 1647345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - (-20 + 5) - 0) + 14?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a day in hours?\nAnswer: 78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 81 + 3*a + 179*a**2 - 158 + 77.\nAnswer: 179*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the first derivative of 69*x**2\/2 + 27*x - 5. What are the prime factors of o(6)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 20535786 to the power of 1\/2, to the nearest integer?\nAnswer: 4532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 46914*n - 46887*n - 644868. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 2*y - 6. Let a be z(4). Suppose -a*w - 6 = -16. Suppose -s = -w*s + 40. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1235557077 to the nearest integer?\nAnswer: 1073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-28)\/(-4)*(-4)\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-176)\/(-2)*(-7)\/(-14) + -2.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -563 - v**3 + 10894*v**4 - 11361*v**4 + 4*v**3 - 422 wrt v.\nAnswer: -1868*v**3 + 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*b + 4991 = -6001. Is 28 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1327*u - 60070 - 20877 = 0 for u.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/4 of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(45) - 3*1*sqrt(45))\/(sqrt(36)\/(sqrt(12)\/sqrt(3))).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -21*p - 163. Let o be w(-8). Solve r - 5*a - 1 = -7, -o = 3*r - 2*a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 + -2)\/((-28)\/(-8)). What is the smallest value in 4, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is h in -2*h**5\/9 + 38*h**4\/9 - 2*h**3\/3 - 494*h**2\/9 - 808*h\/9 - 40 = 0?\nAnswer: -2, -1, 5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 - 0. Let g(f) = f**2 - 2 - 44*f + 38*f - 1. Let d be g(6). Sort d, j, 5 in descending order.\nAnswer: 5, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13360.6 + -13361. Let w = -6.9 + 6. Let f = w - 0.1. Which is the second smallest value?  (a) m  (b) 1  (c) f  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8373*o - 8442*o + 1006*o - 1726*o + 296*o.\nAnswer: -17239*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 109 - 18. Suppose -l = b - 2*b. Suppose -4*z + 7*z - 39 = 0. Calculate the highest common divisor of b and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -298, -293, -284, -271, -254, -233, -208?\n\"Answer: 2*x**2 - x - 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 73812 and 23436?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.1 + 2.1. Let z(k) = 0 - k**2 - 45*k - 46*k - 4 + 87*k. Let y be z(-3). Which is the biggest value?  (a) -17  (b) y  (c) 2\/7  (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10477927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3 and -579.\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 115568 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*d + 15*d + 26*x = -6, -3*d - 5*x = -29 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4\/19 - -2\/19. Let x = -101\/218 - -20059\/20710. Let m = x + z. Which is the third smallest value?  (a) m  (b) -3  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 710833979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*k + 190 = -0*k. Suppose 43 = 2*l + 5. Let a = l - k. Calculate the remainder when a is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11 or -104\/9?\nAnswer: -104\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -19 - -23. Solve -z*o + 13 = -j, -o - 4 = -3*o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -105, -445, -1019, -1833, -2893, -4205, -5775?\n\"Answer: -h**3 - 111*h**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q - 2. Let n be 5 - ((-2)\/8 - 104\/(-32)). Let g be 2\/((-3*2\/(-36))\/n). What is the units digit of y(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 1, t: 2, p: 1, l: 2}. Give prob of picking 1 y, 2 p, and 1 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that 5*t**3 - 336138*t**2 + 5578479*t + 2285174 = 0.\nAnswer: -2\/5, 17, 67211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 4*j = -24. Suppose -j*k = -3*k. Suppose k*m + 19 = m. What are the prime factors of m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llllsslllllsllllll. What is prob of sequence ls?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-8)\/(-2) - 8\/(-40)*0. Let i(l) be the second derivative of -2*l**2 + 1\/12*l**v + 0 - 44*l + 5\/6*l**3. Calculate i(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 + 2*(-6 + 9 - -121) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dnddnddnnd. What is prob of sequence nnd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -863 - -929. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -78 (base 11) in base 2?\nAnswer: -1010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - t = -6 + 16, 25 = -4*u + t. Suppose -5*f + 3*j + 27 = 0, 0*j + 14 = 2*f - 2*j. Let m be f\/(-9) - (-2)\/(-3). Sort u, m, 2 in ascending order.\nAnswer: u, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = -5*l - 1. Let n(o) = -350*o + 4 - 342*o - 3 + 694*o. Give n(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -5795*s - 63740. Determine d(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -18, -1.9, -26 in decreasing order.\nAnswer: -1, -1.9, -18, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 213 is divided by 33.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 358650, 358678, 358724, 358788, 358870?\nAnswer: 358970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 69 a factor of 3504893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 339*y**2 + 95*y - 336*y**2 - 194*y + 99*y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 112 = -5*j, -2*r - 15 - 53 = 3*j. Let z = -15 - j. Solve -2*h + 2*f = 2, -2*h = z*f - 2*f - 26 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) 0.2  (b) -0.164  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 251978 or 251977?\nAnswer: 251978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6\/1987, 2, 0.1, 3, 10\/11, -1\/4 in decreasing order.\nAnswer: 3, 2, 10\/11, 0.1, 6\/1987, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:32 AM and 1:07 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 98*y + 139. Let d = 210 - 199. Is q(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -19740, -78956, -177650, -315822, -493472?\nAnswer: -710600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 1010 = -3*o, o - 192 - 143 = -3*d. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 417 is divided by 85.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -263.7003348 + 263.7. What is q rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 4 - 2)*(-1 + 1 + 3*i)*(-43*i - 112 + 112) in the form w*i + k*i**2 + c and give k.\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 6\/5  (b) 1  (c) 52  (d) 0.028\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -9*n + 6. Let a(r) = -20*r + 13. Let y(m) = -6*a(m) + 13*s(m). Let p(q) = q. Give p(y(o)).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -4469, -8937, -13405, -17873, -22341, -26809?\n\"Answer: -4468*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the third derivative of 5*v**4\/8 - 2*v**3\/3 - 3*v**2. Does 14 divide k(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7942*i = 6943*i - 595400 for i.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 3 = -3. Suppose 2*u + u + 3 = -3*j, 3*j + u = 5. Let b(h) = -h**3 + 2*h**2 + 2*h. Let m be b(j). Sort -4, c, m in ascending order.\nAnswer: -4, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 45 = 11*m. Suppose 2*s + m*l - 12 = -0*l, 0 = -2*s + 3*l - 4. Suppose 0 = -c + 2 + s. Calculate the remainder when 9 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 5, 1.8, -35, -68.\nAnswer: -68, -35, -2, 1.8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 30 = -5*p, 3*p + 3*z = p + 12. Suppose p*c - 16*c = -1540. What are the prime factors of c?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -4, 7, 3.\nAnswer: -4, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*h = 2 - 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2681 - 1259. Suppose 0 = 12*c - a - 486. Is c a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -416.\nAnswer: -1\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence octe when four letters picked without replacement from oeeeenqnotcqce.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**2 - 9*b - 5. Let f be o(-8). Suppose 4*r + 2 = f*r. What are the prime factors of (53 - (r - 1))\/2?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 2, 28, 64, 104, 142?\n\"Answer: -h**3 + 11*h**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 62027?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -o**3 + 0*o**3 - 4*o + 1 + 130*o**4 - 64*o**4 - 63*o**4 as g*o + x*o**2 + v*o**4 + h*o**3 + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 119 and 127666.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -28149 rounded to the nearest one thousand?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*u**3 + 81*u - 81*u - 2*u**2 + 58*u**4)*(u + u + 0*u).\nAnswer: 116*u**5 + 8*u**4 - 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = -2*v - 3*k - 6, -v + 4*k = -2. What is the highest common divisor of 54 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*c - 26 = -7*c. Let p = 12 - 26. Is c greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide (90\/40)\/((-2)\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes before 10:04 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0 + 10\/15 + (-16)\/6. Let s(i) = -3*i**3 - 2*i**2 - 4*i - 6. Let x be s(t). Solve -3*d - 5*j - x = 0, 0 = -3*d + 2*j + 2*j + 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10 + 11. What is the least common multiple of 5 and (b\/(-2))\/((-5)\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -65 - -324\/5. Put -0.06, t, -0.5 in descending order.\nAnswer: -0.06, t, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 3*p**3 + p**2 - 2*p - 2. Let m be k(-2). Let t = -16 - m. Solve -7 = -q - t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i**5 - 87*i**4 - 936*i**3 - 4524*i**2 - 9408*i - 6912 = 0. What is i?\nAnswer: -9, -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 6 + 19 = 0. Sort -1, -3, l in increasing order.\nAnswer: l, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 45655721?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8 + 10. Solve -4*q + 6*a = h*a + 12, -5*a = q - 27 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, 0, -1688, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1976 by 27.\nAnswer: -1976\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -114 + 111. Suppose 3*h + k - 15 = 0, 0 = -k + 2 + 1. Let t = 85\/322 - -1\/46. Which is the closest to t?  (a) i  (b) h  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 251*g**4 - 516734*g**2 - 579673260*g wrt g?\nAnswer: 3012*g**2 - 1033468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -14, 2172, -5, -129, 0 in decreasing order.\nAnswer: 2172, 0, -5, -14, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 95 is divided by 34.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 7*w**3 + 35*w**2 + w + 5. Let x be d(-5). Let s(l) be the first derivative of x*l**3 - 1\/2*l**2 - l + 3 + 1\/4*l**4. Determine s(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 27757 * 475\nAnswer: 13184575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**3 + 15*q**2 - 3. Let d be c(-15). Let m = 48 + d. Suppose m = -6*z + 11*z. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 249 divide 125029324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 32 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 + 1)*(-9)\/(-6). Suppose 229 - 809 = -2*m. Find the common denominator of -47\/10 and (x\/(-35))\/((-4)\/m).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3845 - 7693\/2. What is the nearest to -2 in 18, -2\/13, 1\/5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-36)\/(-16))\/(2\/(-8)). Let a = y - -16. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -475 - -485. Suppose 0 = -d*z + 5*z + 2*p + 215, -5*z - 2*p + 215 = 0. Which is bigger: z or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*c - 5*c + 0*c + 2*c**2 + 11 as q + z*c**2 + n*c and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*v - 7*v + 54 = -26. Suppose 0 = 3*c - w + 5, -5 = 4*c - 3*w. Sort c, v, -5, 4 in decreasing order.\nAnswer: v, 4, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0 - 1)*(7 + -4). Suppose 2*w = -2*w - 5*b - 33, w = 4*b + 18. Is w smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 166 divide 10412085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11, 58, 341, 976, 2101?\nAnswer: 3854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 4, y: 2, e: 1, v: 2}. What is prob of picking 1 m, 1 v, and 1 y?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -124, -569, -1326, -2395?\nAnswer: -3776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6377498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w**2 - 5*w + 5*w)*(-3*w + 4 - 4) - 25*w**3 + 0*w**3 + 4*w**3 + 0*w**3 + 0*w**3 - w**3.\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 4 - 8 = 2*n, 5*x - 18 = 3*n. Let k = n + 14. Let g(v) = k + 43*v - 7 + 6*v**3 - 41*v. What is g(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 259 - 238 + 5*f - 6*f - 2*f.\nAnswer: -3*f + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one sixth of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**3 + 5*g**2 - 3*g. Let l be v(4). Is 5 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-28)\/(-6))\/((-294)\/(-343)*(-14)\/9).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*o = -21*o - 171 - 69 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:21 AM and 12:10 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -7  (b) 3  (c) -0.2  (d) -1.3  (e) -8\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -6 + 0 - (-15 + 8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 5*b + 1073 + 376 = 0, 469 = k + 3*b. Suppose k = u - 1263. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -99\/20 and 77\/160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 4*c**2 - c**3 - 2*c + 4 - 3*c**3 + 3*c**3. Let i be t(4). Let f = i + 16. Solve 3*m = 2*s + 2*s + 14, 4*s = 4*m - f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 260165480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.005018075 rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 4, u: 3, p: 5, g: 1}. Give prob of sequence gu.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 6 + 3)*(-14 + 2 + 2)*(75*f - 10 - 144*f + 67*f).\nAnswer: -20*f - 100","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*k**4 - 103*k**2 + 106*k?\nAnswer: 36*k**2 - 206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h + 2*j - 8 = j, 0 = -4*j + 20 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -981338 (base 12) to base 11\nAnswer: -13a493a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 15 and 1467?\nAnswer: 7335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2505701 and 209?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-81)\/100 + (-10)\/(-12)*(-324)\/(-360). Put m, 2\/17, -1, 3 in increasing order.\nAnswer: -1, m, 2\/17, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the first derivative of l**5\/25 - l**3\/5 + l**2\/5 + 3. Suppose b(s) = 0. Calculate s.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -456*c**2 - 2346*c - 11690721.\nAnswer: -912*c - 2346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9052290 and 975.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -23303112100 (base 4) to base 8\nAnswer: -13632620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -645, -8868, -17089, -25308, -33525?\nAnswer: -41740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -46348300 rounded to the nearest one million?\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 18*g**2 + 5471*g - 376. Calculate u(-304).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 870*g - 161. Let a be f(8). Suppose 0 = -14*v + 21415 - a. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1*(-1 - -1)\/(-2). Suppose t = r - 5 + 2. Suppose 6 = r*b - b. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/5?  (a) -7  (b) -0.1  (c) 2  (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 - 132230220?\nAnswer: -132230222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 107, -847, -18 in ascending order.\nAnswer: -847, -18, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 20056652 - 400971391\/20. Let o = 8080 - s. Find the common denominator of 15\/14 and o.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the second derivative of -v**7\/420 + v**6\/25 + 8*v**5\/25 + 2*v**4\/15 - 4*v**3 - 64*v**2\/5 - 3707*v. Solve z(f) = 0 for f.\nAnswer: -2, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 47515.5 and -96?\nAnswer: 47611.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the first derivative of -o**5\/5 + o**4\/4 + o**3\/3 - o**2\/2 + 3. Determine z, given that i(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 227805752?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = -4*v + 288. Suppose -v*l + 4 = -30*l. Solve -2*x + k + 2 = -0, l*x + 5*k - 2 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*(d*d\/((d*d*(d**(1\/2)*d)\/d*d)\/d))\/d*d)**(-30) assuming d is positive.\nAnswer: d**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -63738386*h**3 + 196670632 wrt h?\nAnswer: -191215158*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*c - 6*c. Suppose -3*w + 21 - 57 = c. Let g = w - -26. Is 14 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (306\/85)\/(42\/(-12)*(-7)\/245).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -53*a**2 + 4*a**2 - 125*a**5 + 223*a**5 wrt a?\nAnswer: 5880*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-7)\/(42\/4))\/(8\/(-156))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -142, -607, -1396, -2509, -3946, -5707?\nAnswer: -7792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15*f - 41*f**2 + 15*f)*(-16*f**3 - 19 + 19 + (2*f - f + f)*(-f**2 + 2*f - 2*f)) + 3*f**5 + 0*f**5 - 4*f**5.\nAnswer: 737*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**2. Let d(s) be the second derivative of 2*s**3 + 141*s - 2*s**3 - 185*s - s**4. Calculate d(f(z)).\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5  (b) 0.06  (c) -2  (d) 783  (e) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 189983 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c**2 + 10*c + 2. Suppose 4*i - 5*g = -65, 1 = 3*i + 3*g + 16. List the prime factors of s(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 82, 334, 754, 1342?\n\"Answer: 84*l**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -6250.28 to the nearest 10.\nAnswer: -6250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is c in -2*c**4\/5 + 312*c**3\/5 - 614*c**2\/5 - 312*c\/5 + 616\/5 = 0?\nAnswer: -1, 1, 2, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -1*(0 + (-2*(sqrt(128) + (-1*sqrt(128) - sqrt(128))*-4)*-2)**2) + 5.\nAnswer: -165884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1589?\nAnswer: 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 26*l**2. Let a(d) be the third derivative of -7*d**5\/60 + d**4\/24 - 2*d**2 + 133*d. Determine a(z(k)).\nAnswer: -4732*k**4 + 26*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7636 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 41 + 25 + (1 - (3 - 1)). Let s be 315\/d + 6\/39. Suppose -9*x + 0*x = -s*x. Solve 2*u + 0*u = 4*h + 4, x = 2*h + 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2, 0, 4 in increasing order.\nAnswer: -4, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -23 - (8 - (-15 + (6 - 17))).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 3*p**2 + 49*p + 230. Determine s(-11).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35108147 is divided by 8777035?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the third derivative of -d**5\/90 - 5*d**4\/36 + 2*d**3\/3 - 2*d**2 - 9. Suppose f(z) = 0. What is z?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 45288 and 425?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -14766 + 14768. Solve 0 - 2\/3*g**5 + 4\/3*g**3 + 0*g + 0*g**l + 2\/3*g**4 = 0 for g.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -2*p**2 - 2*p - 49. Let c be j(-15). Let u = 1210 + c. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -415*r - 35337. Give h(-85).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**3 - 8*q**2 + 13*q - 21. Determine o(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 26 + 6*j - 26 + 22*j to the form n*j + c and give n.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -153*t**2 - 3*t. Let b(i) = -3*i**2. What is n(b(z))?\nAnswer: -1377*z**4 + 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 5528 divided by -4?\nAnswer: -1382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {z: 1, b: 4, a: 5, w: 2, u: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 539, 1034, 1423, 1652, 1667, 1414, 839?\n\"Answer: -9*u**3 + u**2 + 555*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 88, 1270, -0.2 in decreasing order.\nAnswer: 1270, 88, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p + y + 3 = 10, 2*p + 4*y = 16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 61919550 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 23 and 1159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -4\/11, -166, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 19 + 0. Suppose -21 - x = -4*z. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -230 + 254 - (-1 - -19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) -0.01  (b) 40.71  (c) -2\/5  (d) -0.3  (e) 5  (f) 79  (g) 5\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 2 + y - 4 + 17. Let h be n(-9). Differentiate 0 + h*a**2 + 9*a**2 - 2 + 5 wrt a.\nAnswer: 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 170\/(-100) + 6\/4.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2*sqrt(6))\/sqrt(3) + sqrt(200) + 0)*-2)**2.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 0.8357256ng?\nAnswer: 0.0000000008357256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o**3 + 4*o**2 - 8*o**2 + 0*o**2 - 3 + 10*o. Let n(b) = 2*b**3 + 9*b**2 - 20*b + 6. Let m(h) = 3*n(h) + 5*q(h). Is m(-8) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -15\/64 - -7\/64. Which is the nearest to -0.1?  (a) 17  (b) 1  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 2 = -8. Let o be 0 - ((-33)\/9 - q). Factor -2\/3 + 2\/3*y**2 - o*y**3 + 2\/3*y.\nAnswer: -2*(y - 1)**2*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 19*v**3 + 20*v**3 - 2*v**3 + 46*v**2 - 6*v**3 + 9119*v wrt v.\nAnswer: 186*v + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o - 8025*d + 26 = -8024*d, 2*o + 3*d = 34 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-76)\/1406 + (-4)\/(-74). Solve 0 = 3*t, b = 5*n - 0*t + t - 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 171*o - 2 - 1 + 7.\nAnswer: 171*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*f**4 - 6 + 0*f**4 + 3*f**3 + f**4 to a + d*f**3 + h*f**2 + s*f + w*f**4 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Are 40153\/3 and -5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1 + (-24)\/(-23))\/(229\/(-458)). Which is the closest to -3?  (a) s  (b) 4  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the second derivative of l**7\/7 + l**6\/30 + 5*l**4\/12 + 3*l**2\/2 + 18*l. Find the third derivative of g(o) wrt o.\nAnswer: 360*o**2 + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 20 - -39a1?\nAnswer: 3a01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1089978 = -13*a + 132*a - 278403. List the prime factors of a.\nAnswer: 3, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5749 - -7405. Calculate the highest common factor of g and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*f**2 - 5*f**2 + 2*f**2 + 10 + 5*f**2 - f**2 - 3*f**2 - f**2 + 3 - 3 + (2*f**2 - 4*f**2 + 3*f**2)*(-1 + 3 + 0) + 2*f**2 - 4*f**2 + 4*f**2.\nAnswer: 3*f**2 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10, 23, 44, 73, 110?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5767 is divided by 384.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*w - 955090*w**2 + 27*w - 2*w**3 + 955088*w**2 + 37 in the form j*w**3 + z*w**2 + y*w + u and give u.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4.307 + 4.3077179. What is q rounded to 5 decimal places?\nAnswer: 0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 7347788.65734 and 0.4?\nAnswer: 7347788.25734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 0.3  (b) 3  (c) -1  (d) 0.03  (e) -7  (f) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1891 rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 7*c**3 - 6*c + 6. Let w(i) = i**3 - i + 1. Let g = 9 + -1. Let f = g + -2. What is f*w(o) - p(o)?\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 289723760 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -33*y**3 - 9*y**2 + 4*y + 3. Let v(u) = -16*u**3 - 4*u**2 + 2*u + 1. Give -2*q(j) + 5*v(j).\nAnswer: -14*j**3 - 2*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.590259 to three dps.\nAnswer: -1.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 - 5*14\/10. Sort 9, i, 10.\nAnswer: i, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12327 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 311323 to the power of 1\/2, to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z**(2\/47)*z)\/z)**(-37)*(z*z\/z**(-21))**(1\/13))**42 assuming z is positive.\nAnswer: z**(4998\/611)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2453, 2487, 2573, 2735, 2997, 3383?\n\"Answer: 4*g**3 + 2*g**2 + 2447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34 + 67 - 118*i**2 - 377*i**2 - 33 - 2*i.\nAnswer: -495*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 9\/(-54) - (-50)\/12. Suppose 2*r + 70 = p + 3*p, -2*p = -s*r - 50. Solve -5*j - 25 = -5*d, 0*j + 3*j + p = 5*d for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes after 3:45 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p - 25 = 2*p - 5*b, -3*p + 5 = -2*b. Let d(x) = 27*x**3 - 3*x**2 - 3. Let z(k) = k**3 - 1. Let w(f) = p*z(f) - d(f). Suppose w(l) = 0. What is l?\nAnswer: 0, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.2 - -0.1. Let u = 18.9 - p. Let i = 15 - u. What is the nearest to -2 in -1\/2, i, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*i - 12*i = 123*i - 72442234. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1266?\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from nnnnnnmnnnnnnnmmnmnn?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 840*q = 620*q + 5940 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(5 + -4*4*(sqrt(19) + -5 + sqrt(76)\/sqrt(4))*2)*-2)**2.\nAnswer: -337920*sqrt(19) + 1680784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**(3\/5))**30*(l*(l*l\/(l*l**3))\/l)**43 assuming l is positive.\nAnswer: l**(-74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -4*k**3 + k**2 - 1. Let h be m(1). Let u(n) = n + 10. Let o(i) = 2*i + 16. Let s(y) = 2*o(y) - 3*u(y). Let c(v) = 2*v + 4. Calculate h*c(j) + 7*s(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 15\/166 and 101\/322?\nAnswer: 26726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4974.\nAnswer: 2, 3, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1899 + -1428. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 128 = r, -4*r - 5*u + 322 + 192 = 0. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 111 = 4*v - 2*v, -5*j - 166 = -3*v. Let x be ((-28)\/j)\/(2\/(-10)). Let a be 1\/x - 195\/(-60). Solve 2*i = a + 5 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z + 10 = 3*p - p, 0 = -3*p + 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(2\/19))**(-4\/3) assuming h is positive.\nAnswer: h**(-8\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**3 + 15*g**2 - 15*g + 12. Let b be m(14). Let y be (124\/16)\/(b\/24). What is y rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 136.92 - -1.\nAnswer: 137.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -19, -3, 3, -5 in ascending order.\nAnswer: -19, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -27eb - d73?\nAnswer: -355e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-21)\/(-4) - 2\/8. Let y(l) = -7*l**2 + 4*l - 4. Let w(p) = 10*p**2 - 6*p + 6. Let f be -22*(-4)\/16*2 + -4. Give a*w(v) + f*y(v).\nAnswer: v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (1216\/19 - 61)*-11?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -11*y**3 + 2*y**2 - 1. Let a be l(-1). Suppose 4*r - a = 2*r. Suppose -2*p - 3*p = -0*p. Solve p = 2*k - r*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1110123 (base 4) to base 7.\nAnswer: -21516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -16 (base 9) to base 15.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - (-1 - (3 + -6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 19094 greater than 19095?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 376*b**4 + 5877*b - b**5 + 384*b**2 + 265*b**4 - 636*b**4 wrt b?\nAnswer: -20*b**3 + 60*b**2 + 768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -483 = 43*u - 53 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 387 and -0.2.\nAnswer: -77.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 23 (base 6) to base 14\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 20*g + 42. What is x(-5)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6 and 624.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0*(4\/(-2) - -1). Let y be (-10)\/6 - 2\/(-3). Which is the nearest to y?  (a) q  (b) -4\/3  (c) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 11*o + 4 + 1 - 5. Determine v(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-162*r - 44*r**4 + 162*r)*(-222 - 111 + 228 - 518 - 492) to g*r + b*r**4 + w + t*r**2 + c*r**3 and give b.\nAnswer: 49060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 90558?  (a) 1  (b) 3  (c) 2  (d) -2  (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 24552855527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 112*l + 4*l - 560187 - 485553 = 0. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -3*t**3 - 2*t**2 + t - 1. Let o be f(-2). Suppose -o = 4*p - 133. Suppose 3*l = -0*l + p. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4322, 8410, 12498, 16586?\nAnswer: 20674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1116 and 744?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Total of 8 and 0.138.\nAnswer: 8.138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4765 + (4\/(-1) - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -28 + 24. Let n be 14\/(-10) - 4\/(-10). Let b = n - y. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 18318*p - 73281. Give m(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -246 (base 8) in base 10?\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1187650 rounded to the nearest ten thousand?\nAnswer: -1190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -1105622602 <= -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 131820689?\nAnswer: 7, 11, 13, 19, 29, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 6877836568 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j - 1. What is the units digit of x(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 313, 328, 357, 406, 481, 588, 733?\n\"Answer: s**3 + s**2 + 5*s + 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 3*h - 143, 6*h + 2*v - 127 = 3*h. Calculate the remainder when 131 is divided by h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 21036 (base 11) to base 9\nAnswer: 46037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**2 + 1. Let x be y(-2). Let q(f) = -f**3 - 14*f**2 - 12*f + 19. Let u be q(-13). Suppose -u*c = -c + 3*i - x, i = 0. Which is bigger: c or 1\/34?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 252 is divided by 248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o + 4*d - 9*d - 25, 0 = -3*o - 4*d - 20. Suppose x + x = 24. Let k be 4\/x - 28\/30. Which is greater: k or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 2152, 2151, 2150, 2149, 2148?\n\"Answer: -o + 2153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s - 2. Suppose 5*v - 9 = 1. Let d be q(v). Solve 1\/5*h - 1\/5*h**3 + 0*h**2 + d = 0 for h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -52.3+204\nAnswer: 151.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1 - (((-48)\/(-4))\/4 + (-17300)\/(-10)). Is -1734 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 + 26*h**3 + 20 - 28.\nAnswer: 26*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the first derivative of -51 + 4\/9*j**3 - 2\/15*j**5 - 6*j + 4*j**2 - 2\/3*j**4. Find x, given that g(x) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 56465795*q**3 - 70998940*q.\nAnswer: 338794770*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -4244*p**2 + 24*p. Let z(c) = 1698*c**2 - 10*c. Give 5*i(h) + 12*z(h).\nAnswer: -844*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that 4*v**4 - 24*v**3 - 364*v**2 - 1104*v - 1008 = 0.\nAnswer: -3, -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -4503782 to the nearest 100000.\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -177808\/5 + 35561. Sort 3, 17, b, 0.1.\nAnswer: b, 0.1, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(8\/7)*t**(25\/3))**(15\/2) assuming t is positive.\nAnswer: t**(995\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -k + 176. Suppose -5*v + k = -2*a, 112 = 5*v + a + 21. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 times 56\nAnswer: 11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 97*z - 92*z = 50, -3*o = -o - z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2222549093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 - -10689940569\nAnswer: 10689940568.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 3*a**3 + a**2 - 10*a - 3. Let f be w(-3). Let j = f - -48. Calculate the lowest common multiple of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-50)\/35)\/(8\/28)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the first derivative of -p**6\/30 + p**5\/10 - 2*p**2 + 16. Let c(w) be the second derivative of z(w). Find the third derivative of c(x) wrt x.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 70 a factor of (143\/22)\/((-1)\/(-60))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/2*(2 + 10)\/3. Suppose 0 = -2*z + 4*z - 4*p - 22, 2*p + 17 = 3*z. Suppose 4*m + 2*i + 2 = 0, j*i + z + 13 = 3*m. Solve -m = 2*u + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5 + -12. Let b = l + 15.6. Let u = 0.6 + b. Put u, 3, -5 in decreasing order.\nAnswer: 3, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-20 - -47) + -19)*1\/20. What is the fifth biggest value in y, 16\/7, -0.2, 4, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1500005 to the nearest integer?\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2*((-114)\/4)\/3. Let b = g - -79. Suppose -5*p = 1 - 76. What is the highest common factor of b and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.16 - -0.46. Let p = x - 0.4. Let q = 0.03 + 1.97. Which is the third smallest value?  (a) q  (b) -5  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:03 AM and 4:33 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-90)\/(-12)*(-16)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -5*l**3 + 11635*l**2 - 23130*l - 279000 = 0.\nAnswer: -4, 6, 2325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -75 - 15. Solve -30 = -4*t + 6*p - 4*p, 2*t - 4*p - s = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 230281 (base 10) to base 12\nAnswer: b1321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1713 a factor of 31630545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 244280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 492 divided by -6\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (335 + 26*k**2 - 335)*(-1 + 2*k**2 + 1) - 8*k**3 + 125*k**2 - k**4 - 125*k**2 - 3.\nAnswer: 51*k**4 - 8*k**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 99 = -3. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1593 + 2303. What is the remainder when p is divided by 60?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58 = -9*q - 13. Let p(b) = b**3 - 6*b**2 + 6*b. What is p(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.25, -0.3, -0.2, 5\/9, -1 in decreasing order.\nAnswer: 5\/9, -0.2, -0.25, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**3 - 22*m**2 - 42*m + 14. Determine k(-20).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -16 + 0*n - n + 16. Let g(u) = u + 6. Let d(o) = -4 - 2 - o + 5. Let f(v) = 6*d(v) + g(v). Give f(a(p)).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let -405*f**5 - 109935*f**4 - 6719960*f**3 + 103193080*f**2 + 46854320*f + 5242640 = 0. What is f?\nAnswer: -142, -2\/9, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 14.79 - 17.3. Let r = -2.49 + s. Which is the closest to 0.01?  (a) r  (b) -2  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*p**2 + 748*p + 6408.\nAnswer: 4*(p + 9)*(p + 178)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from luzzlulz. What is prob of picking 1 l, 2 u, and 1 z?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 4*p**2. Let v(c) = c**3 - 8*c**2 - 4*c - 13. Let j be v(9). Let f(n) = 60 - j - 28 + n. What is i(f(w))?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1457*u**2*z**2 + u**2*z - 2*u*z**2 + 807*u*z + 2*u - 2 wrt u?\nAnswer: -2914*z**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -234*i + 11. Is y(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r + 1. Let z(h) be the first derivative of -3 - h + h**2 + 6 + 3*h. Let t = -5 - -2. What is t*q(s) + z(s)?\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -512342, -1024720, -1537134, -2049602, -2562142, -3074772, -3587510, -4100374?\n\"Answer: -3*d**3 - 512357*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -116 * -177\nAnswer: 20532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 32*(-55)\/1320*(-1)\/3 - (-404)\/(-18)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Are -337376 and -674749\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 11992300 to the nearest 10000.\nAnswer: 11990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 2*x - 9. Suppose 3*w - 3 = -5*j + 58, -3*j + 33 = 3*w. Solve -6 = -x*r + j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 - -6 - -2) + (-2 - -40 - (18 - 15))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vwvvvwwwvwvvvvvv. Give prob of sequence vv.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -21 - -20.5. Sort 2\/7, 4, c, -2\/9 in ascending order.\nAnswer: c, -2\/9, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zrzrzzzzrzrzzzzzzzzz. What is prob of sequence rrz?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d + 32. Let j = -22 + 33. What is the remainder when o(0) is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 93600 and 59040.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (4 + sqrt(1088) + 1 + sqrt(1088) + -5 + -2 + -1)**2 + 5.\nAnswer: -96*sqrt(17) + 4361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 35371681 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 17402350 and 1925.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*q**5 - 52*q**4 + 20*q**3 + 100*q**2 - 32*q - 48 = 0 for q.\nAnswer: -1, -2\/3, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -29 at most -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 19*k. Let f be g(-1). Let y be 6\/(-15) - f\/10. Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j**2. Let t(q) = 19*q + 2. Calculate t(y(u)).\nAnswer: -19*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0 - 0) + -14 + (-679)\/(-49). Which is the third smallest value?  (a) p  (b) -0.1  (c) 250\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u = l - 16, l = 5*u - l - 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.645864 millimeters to kilometers.\nAnswer: 0.000008645864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 2, 3, 1618, -34 in ascending order.\nAnswer: -34, -3, 2, 3, 1618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n**3 - 35*n**2 - 37*n + 40. Let v be o(36). Solve -x + v*l = -3, 25*x - 21*x + 2 = 2*l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 697\/5 + -139. Let r be (-8)\/2*(-1)\/(-2). Which is the closest to j?  (a) -4  (b) r  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 2*f + 222 - 222. Let u(c) be the first derivative of -2 + 0*c + 5\/2*c**2. Determine u(s(i)).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 956917.5l to millilitres.\nAnswer: 956917500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -300.5942 to the nearest ten.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b**2\/9 + 706*b - 185948\/9 = 0. Calculate b.\nAnswer: -3206, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -2*y - 10, w - 9 + 1 = 3*y. Let s(n) = 10*n**3 + 3*n - 3. Is s(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -29 + 53. Calculate the remainder when 69 is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2.78 in 3, -453, 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5675537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*l - 21713 + 22155 = -6*l. Calculate the greatest common divisor of l and 32521.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g**3 - 70*g**2 + 635*g - 39050. What is c(69)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -2*o + 1864, -5*b - 4655 = 10*o - 15*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9.849 + 10.01. Round c to two decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 65 != 114474\/1759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1, 7, -4\/60917, -5, 4, 0.05?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18)\/(-4)*-2 + (-80308)\/(-8908)?\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -9*c**2 + c - 5. What is o(-3)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**2 + 5*n - 5. Suppose 130 - 146 = 4*x. Give k(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (14\/21)\/((8\/(-6))\/4)*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 + 4 = -u - 8411*l + 8408*l, 4*u + 4*l + 4 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14.92842ml to litres.\nAnswer: 0.01492842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.567667l to millilitres.\nAnswer: 4567.667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55*w - 664 = -63*w. Suppose -w*t + 295 = -78*t. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1694 is divided by 98.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 316.02307 * -5\nAnswer: -1580.11535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3964.\nAnswer: 2, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 789 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 36*q - 50*q + 9436. What are the prime factors of q?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/18)\/((111\/12)\/((-5)\/(60\/9)))?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -43a7 (base 13) to base 6.\nAnswer: -111400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.04 - -4.04. Let p = -37 - -184\/5. Sort -0.3, p, s, 2\/9.\nAnswer: -0.3, p, 2\/9, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -183*p**2 - 173*p**2 - 183*p**2 - 174*p**2 + 712*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 409886.2 millimeters?\nAnswer: 409.8862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 746545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4562 - 520. Does 86 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.1 - 0. Let s be 13\/36 - (-6)\/27. Let a = s - 1\/12. Which is greater: m or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:48 PM and 12:04 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 253.732122ms to weeks.\nAnswer: 0.000000419530625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {b: 3, s: 8, a: 5}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 9 - 36 = 0. Let p = -4 - -13. Let z be (-6)\/p - (-92)\/3. Solve -5*m = 5*t + z, -5*t - s = -0*t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l = -5*l + 25. Let g = -21 - l. Suppose c - g*b + b - 214 = 0, -b + 895 = 4*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -935*u + 1858*u = -1923*u - 154028 + 563852 for u.\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1940 + 828382\/427. Let v = h + -13249\/2562. Find the common denominator of v and -91\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 + 3 + 0\/(-4). What is the remainder when 24 is divided by 26\/(3 + x\/(-4))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -379196 less than -379198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -90*r**2 + 2*r + 90*r**2 - 7*r**3 to the form l*r**2 + y*r**3 + c*r + b and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 398.9331g?\nAnswer: 398933.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 154\/(-35) + 5 + 994\/10. Calculate the greatest common divisor of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lfllfeueefl?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 + 3)*(8 - l - 8).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**2)**(15\/8))**(3\/7)\/((((k**(-2\/11)\/k)\/k)\/k)\/(k*k*k**(-1\/12)))**(-3\/13) assuming k is positive.\nAnswer: k**(431\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 30882645?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 119\/265140 and 31\/180.\nAnswer: 265140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - 2 - (0 - 6) - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6.2337 - -5.\nAnswer: 11.2337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -616783, -1233545, -1850333, -2467147, -3083987?\nAnswer: -3700853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p**3 - 6*p**2 - 5*p + 1. What is the remainder when y(-6) is divided by (-4)\/((-1)\/8*2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4\/10 - 33\/(-5). Solve 0 = y - 1, -5 = -5*x - 2*y + u*y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5585 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 2*a**2 + 121*a + 65. Let q be f(-60). Let z(d) = 8*d**3 + 5*d**2 + 5*d - 4. Let g(p) = -7*p**3 - 4*p**2 - 4*p + 4. Determine q*g(c) + 4*z(c).\nAnswer: -3*c**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 956 divided by -4\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ah when two letters picked without replacement from xxxaxxaaxxahxx?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**3 + 27*f - 32. Calculate m(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 106, 113, 124, 139?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 333 - 316. Find the second derivative of -30 - 2*n**3 + 5*n + z + 12 + n**2 + 0*n**2 wrt n.\nAnswer: -12*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffffzzzffffffff. Give prob of picking 1 f and 3 z.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(68) - (sqrt(68) - (1*sqrt(68)*-2 - sqrt(68)) - sqrt(68))) + 2)**2.\nAnswer: -16*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**3 + 6*x**2 - 2. Let i be t(6). Calculate the common denominator of ((-89)\/i)\/(3\/1) and -39\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 7\/(-42) - -118142*(-2)\/(-24). What is d rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -62*x**5 - 2*x**4 + 588*x**2 wrt x?\nAnswer: -3720*x**2 - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 145024477409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*w - 4*w + 0*w)*(-3 + 1 + 4) + 2 - 2 - w + (6 - 5 + 1)*(-4*w + 4*w + w) - 2*w - 2*w + 3*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 106 - 106 - 13*j**2 + (-j - 3*j + 2*j)*(5*j - 4*j - 2*j) + 2*j - j**2 - j + 9*j**2 + (3*j - j - 3*j)*(0*j + 0*j + 2*j).\nAnswer: -5*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -4*v + 21. Let a be 1\/2*-8 + 9. Suppose 24 - 4 = a*u. Let w be y(u). Solve 5*k = -3*s - 0*s, -w*s + 4*k = 37 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v + 5*x - 17 = 0, -104*v = -106*v + 4*x - 14 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*w**2 - 3180368*w - 632171288464.\nAnswer: -4*(w + 397546)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 5 = -x, j - 3*x + 15 = 5*j. Let m(q) = -q - 1. Let n(f) = f**3 + f**2 + 2*f - 6. Let l be n(0). Let h be m(l). Solve -o - h = -j*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*p - 15*p - 3*p - 2 - 2 - 4 - p + (1 - 3 + 0)*(p + 0*p - 2*p))*(-1 - p + 1 + (-1 + 0 + 3)*(-2 + 2 - p) + 3*p + 3*p - 4*p).\nAnswer: 13*p**2 + 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*f**3 + 2*f**3 + 2*f**3 + (f - 3*f**3 - f)*(0 + 1 + 1) + 0*f**3 + 6*f**3 - f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 (base 16) in base 6?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -8*s**2 + 70*s - 783. Determine o(9).\nAnswer: -801","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:38 PM and 5:10 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11 + -7. Which is the second smallest value?  (a) -2\/5  (b) x  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -2, 0.1, 15 in increasing order.\nAnswer: -2, -1, 0.1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 4512833 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-4)\/(-6))\/((-1)\/(-3)). Suppose 4*h + p*o - o = 3, h = -5*o - 23. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a millennium in months?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 0.8995965 micrograms?\nAnswer: 0.0000000000008995965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.8549089555 to 2 decimal places.\nAnswer: 2.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5.149 - 4.749. Which is the closest to 2\/9?  (a) 19  (b) 2  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4489 and 23249.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/(-33) + (-3)\/(99\/(-4326)). Let g = -116 + j. Solve -p - g = -2*t + 5*t, 3*t + 15 = 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 y when two letters picked without replacement from {p: 9, r: 4, i: 1, y: 3, c: 2}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -43*a. Suppose p = -5*n + 407, -2*n - 422 = -7*n + 4*p. Let d(l) = n*l - 46*l - 33*l. Calculate d(k(f)).\nAnswer: -129*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-5))\/(((-288)\/80)\/(-9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the second derivative of -r**5\/70 + 4*r**4\/21 + 3*r**3\/7 + 121*r. Factor o(f).\nAnswer: -2*f*(f - 9)*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 405 * -2.\nAnswer: -810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 574613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1131717 and 899.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u - 7. Let t be s(10). Solve -m - m**t - 4 + 6*m + m**2 + 7 = 0 for m.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 955 + -945.82. Let o = b + -9. Round o to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-21)\/(5 + -3 + -3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 127496529 divided by 7311\nAnswer: 17439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12022 - 100?\nAnswer: 11222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s**2 + 14. Let x(k) = -2 + 3 + 4*k**3 - 3*k**3 - 2*k. Let z be x(1). Is 7 a factor of a(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0, 7083, 5, 13, -1 in increasing order.\nAnswer: -1, 0, 1, 5, 13, 7083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14980927?\nAnswer: 13, 17, 53, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28 divided by -1.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes before 7:02 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2023107139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 6*a**3 + 2*a**2 - 4*a + 3. Let c be f(2). Suppose -3*v + 34 = -v + 4*b, -5*b - c = -3*v. Is 17 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m + 20. Let a be c(15). Let w = 32 + a. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*b + 16*b = 5057165. Let p = b + 2379434. Let i be p\/4 - (-12)\/(-48). Round i to the nearest 10000.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 16.26 and -0.03363.\nAnswer: -0.5468238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) 5  (b) -1\/3  (c) -7  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -28*d - 28. Let x(v) = -v**3 - 7*v**2 - 1. Let w be x(-7). Let o(g) = 1. Let n(q) = w*h(q) - 6*o(q). Find the first derivative of n(b) wrt b.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hccccchchcccccchcch. What is prob of sequence hc?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3970220090 - -18.9.\nAnswer: -3970220071.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (22*y**2 - 22*y**2 - 24*y**2)*(-3 - 2 + 2).\nAnswer: 72*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -3*g + v + 12, 2*v + 4 = g. Determine h, given that 3*h**3 - h**4 + 3*h**2 - h**2 + 3*h**g - 7*h**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**2 - 2*d + 60. Determine a(0).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 656050 to the nearest integer?\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gy when two letters picked without replacement from {g: 4, w: 1, b: 8, y: 1, p: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1992 and 3.2.\nAnswer: -6374.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c + 13*l = -25*l + 37*l + 30, 5*c - 9*l = 10 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**3 - 27*i**2 + 27*i - 17. Let o be g(26). Let z(l) = l**3 - 10*l**2 + 9*l + 1. Determine z(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + -3 + 14 + -7 + 1 - 14.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -113 - -65. Let p = m - -50. Which is smaller: p or 14\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the first derivative of r**3\/3 + 11*r**2\/2 + 7*r + 4. Let g be h(-13). Calculate the highest common factor of 22 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1401, -2878, -4451, -6114, -7861, -9686, -11583?\n\"Answer: f**3 - 54*f**2 - 1322*f - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -19 + 25*s - 24 - 19*s + 55*s**3 + 4 - 31. Let w(v) = 56*v**3 + 8*v - 71. Let y(u) = -4*g(u) + 3*w(u). Differentiate y(q) wrt q.\nAnswer: -156*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.149 take away -10.7?\nAnswer: 10.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -1382521 less than or equal to -1382521?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**2 + 2*o - 15. Let d(k) = -k**2 - 1. Let z(u) = -2*d(u) - v(u). Let x be z(0). Suppose x*g = 14*g + 42. Solve -5*n = -g - 11 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1111432\/504 + 2\/(-9). Suppose 8*y - 6*y = 5*w + p, 3279 = 3*y + 2*w. Is y a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -69296*c**3 + 2*c**2 - 4*c + 8. Let l be p(-4). What is l rounded to the nearest one hundred thousand?\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + 17 + -1 - 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -3708, -6711, -9714, -12717, -15720?\n\"Answer: -3003*i - 705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*m + 70 - 4*m - 46 + 163 + 12.\nAnswer: -2*m + 199","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -249 + 300.5. What is y rounded to zero decimal places?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5576 is divided by 102.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -192*o = -12 + 396 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from kklkkkkllllkk.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1437528*v**2 - 51614609 with respect to v.\nAnswer: -2875056*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -5 + 16 - 21 - (-2 - (-48 - -4))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 530*h = 535*h + 2185. Let l = h - -440. Solve l*b + b = -8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*f + f**2 - 6*f**2 - 14*f**2 - 4*f**2 to the form p*f + r*f**2 + n and give r.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -2*r**2 + 184*r + 7306. Give x(-29).\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 141532305 + 3?\nAnswer: 141532312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1941*c**3*j + c**2*j + 23*c**2 - 2*c + 84415*j wrt c?\nAnswer: 5823*c**2*j + 2*c*j + 46*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0005590522 rounded to 5 decimal places?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 239531231?\nAnswer: 67, 3575093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4896 and 640.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -2384, -4771, -7158, -9545, -11932, -14319?\n\"Answer: -2387*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 643294 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2 - 2)*(-8)\/16. Solve 2*c - y*x - 12 = 0, 21 = 5*c + 5*x - x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is y in -4\/13*y**2 + 4\/13 + 2\/13*y - 2\/13*y**3 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**3 - 6*u**2 + u - 7. Let o be w(6). Let s(d) = -6*d - d - 3*d. What is the units digit of s(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0244176 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**3 - 2*m**2 + 2*m + 2. What is f(-4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 68733?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 48769035293 + -48769034904.99999829. Let h = f + -388. Round h to seven decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ccpccpcscccaac. Give prob of picking 2 p and 1 c.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - (-4 + -3)) + -1 + -5 + 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 10122 (base 4) in base 9?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-20)\/(-32)*-4 - 25\/10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xccx when four letters picked without replacement from xxccxxcxxcxxcc?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: What is next in -11, -22, -41, -74, -127?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -2 times -1016\nAnswer: 2032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 114763011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-542)\/30 + ((-144)\/(-5148)*-33 - (-62)\/39).\nAnswer: -87\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*v - 5*c - 20, 3*v - 18*c + 14*c = -15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Are 21 and 145\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 18*s + 1. Let c(n) = -567*n - 7. Determine 2*c(m) + 18*y(m).\nAnswer: -810*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -15*l**3 - 2*l**2 + l - 1. Let p be w(2). Let h be (p\/(-2))\/((-2)\/(-16)). Suppose 3*q - 7*q + h = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 981717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1556284 or 1556288?\nAnswer: 1556284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2070)\/20493*132\/(-60).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 18 - 60. Let b = t + 86. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 16.0852 milligrams?\nAnswer: 0.0160852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 33658 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 3*s**2 - s**3 + s**2 + 5*s**2. Let a be o(9). Suppose a = -0*x - x + 22. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, 13, -1016, 34\/7?\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 60410*n. Let u(a) = 17*a + 12. What is j(u(k))?\nAnswer: 1026970*k + 724920","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the second derivative of -r**8\/84 - 5*r**4\/24 - r**2 + 2*r. Let h(u) be the first derivative of y(u). What is the second derivative of h(t) wrt t?\nAnswer: -80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**3 + 7*h**2 - 5*h - 4. Suppose 2*d - 4 = -2*z + 7*z, -2*d - z = -16. Suppose 6*i = d*i - 8. Calculate the remainder when c(5) is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8 - -13. Suppose 3 = m*o - 22. Find the third derivative of -7*z - 7*z**2 + 7*z + 0*z**5 + z**o wrt z.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 293110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - k**4 + 2*k**4 + 4*k**3 - 3*k**3 + k**3 to i + o*k**3 + y*k + z*k**4 + d*k**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**3 - 3*h**2 + 2*h - 2. Let y be w(-2). Is y less than or equal to -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*k**3 + 9*k**3 + 496*k - 480*k.\nAnswer: 4*k**3 + 16*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2391948 + -6769052. What is d rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 1. Let i(d) = d**3 - 53*d**2 + 52*d + 11. Let a(l) = 22*b(l) - 2*i(l). Let a(r) = 0. Calculate r.\nAnswer: 0, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 3, t: 5, x: 1, z: 3}. Give prob of picking 2 t and 2 z.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 5, o: 7}. Give prob of picking 2 v.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 40*w**2 + 1163*w + 92. Give q(-29).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**3 + 6*g**2. Let h be l(6). Let x = 6.47 + -7.47. Which is the closest to x?  (a) 3  (b) h  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1718968031.\nAnswer: 11, 79, 419, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -3*o**2 + 39*o + 14. Calculate h(13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*r - 4*r + r + 2*r - 6*r - 5*r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes before 3:10 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 62129792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 minutes after 11:44 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g**2 + 32*g - 109. Let f be d(28). Solve -2*l**3 - 2*l**4 + 2*l**3 - 2*l**2 + 5*l**3 + 2*l**3 - 3*l**f = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*o**2 - 3*o**3 - 2*o**4 - 4*o**4 - 156 - 9*o**4 + 14*o**4 + o**3 in the form d*o + k*o**2 + y + u*o**4 + n*o**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange w - w + 2*w**4 + (0*w**3 + 3*w**3 - 2*w**3)*(-2*w - 2*w + 6*w) + 290*w**4 - 75*w**4 + 16*w**4 to g + r*w**2 + z*w**3 + y*w + l*w**4 and give l.\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 397.4115 litres in millilitres?\nAnswer: 397411.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -32\/6589 and -19\/5990.\nAnswer: 65890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, 0.1, 2\/3, -23 in ascending order.\nAnswer: -23, 0.1, 2\/3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*h**3 + 916*h**5 - 3360*h**2 - 407*h**5 + 2*h**3 + 6*h**3 wrt h?\nAnswer: 30540*h**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 989363?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-41 - 17) + 69 + (-1 - 34).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -1 + (14 - 8) - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the third derivative of -4*h**7\/1365 + 3*h**6\/260 + 7*h**5\/195 - 3*h**4\/13 + 8*h**3\/39 + 3*h**2 - 18. Solve b(s) = 0.\nAnswer: -2, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 306983 is divided by 1327?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 times 2023?\nAnswer: -2023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 90*y**2 + 96*y**2 - 1 - 2*y**3 - 205*y - 187*y**2 to the form b + m*y**3 + i*y + l*y**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.27412  (b) 1  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -357101 (base 9) in base 12?\nAnswer: -a4601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + (2 - 16) + -106 + 100 + -31.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -593 + -18?\nAnswer: -5ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**3 + 19*p**2 + 66*p - 178. Determine a(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -11, -120, -421, -1010, -1983?\n\"Answer: -16*f**3 + 3*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 14048 - 14046. Which is the nearest to -2\/5?  (a) -9  (b) -7  (c) -1\/3  (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*j - 9*j. Let v be (-18)\/(-68)*(-4)\/3. Do j and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -6 - 18?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sum 15 and -725989696.\nAnswer: -725989681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5928904412.65452 - -0.1.\nAnswer: -5928904412.55452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 + -1011?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + 71 = 73 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2858800, -5717672, -8576544, -11435416, -14294288, -17153160?\nAnswer: -20012032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4388409982?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 9188 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 1.46, -0.4, -0.2.\nAnswer: -0.4, -0.2, 0.1, 1.46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - ((-20 - -2) + -199 + 218)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5263\/10 + -1053\/2. Which is the third biggest value?  (a) 49  (b) f  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 96 + -9. Let q = -55 + x. Let n = -32.000012 + q. What is n rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = w + 2. Let a(s) = -w - 3*s - 1 + 5*s. List the prime factors of a(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 1320*r**2. Let v(h) = 3*h + 161. Let i(j) = -j - 46. Let g(a) = -14*i(a) - 4*v(a). Give g(b(o)).\nAnswer: 2640*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11 - -7. Suppose -3*t + 9 = 3*k - 12, -t - 4*k + 22 = 0. Let d be t\/(-7) - 2\/(-7). Put d, -5, n in descending order.\nAnswer: d, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -0.4, -29, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6345 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the third derivative of -2\/15*p**5 - 3\/8*p**4 + 0 + 11\/6*p**3 + 0*p + 1\/120*p**6 + 24*p**2. What is u(9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**3 - 7*o**2 - 8*o - 5. Suppose 0 = -4*a + 44 - 36. Suppose 3*d - d + 28 = 4*b, 0 = -4*b - a*d + 36. Determine i(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 587*m + 4708. Let s be q(-8). Let l(x) = 114*x**2 - 5. Let v(t) = -285*t**2 + 12. Give s*l(f) + 5*v(f).\nAnswer: -57*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-800)\/(-2100))\/((-20)\/30)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m + k - 15 + 8 = 0, -5*m - 7 = 3*k for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**3 - 3*j - 39. Let r(u) = 2*u + 38. Give 3*r(l) + 2*y(l).\nAnswer: 2*l**3 + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -413 - r - r + 414. Let t be x(-2). Let w(b) = 3*b**2 - 9*b + 3. Let u be w(t). Calculate the highest common factor of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.37 take away 2?\nAnswer: 7.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 135013891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 3, t: 3}. Give prob of sequence ltl.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*r + 11 - 11.\nAnswer: 21*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 13*o**2 - 10*o + 4. Let u(w) = 7*w**2 - 5*w + 2. Let d(r) = 11*u(r) - 6*v(r). Let j be d(5). Let z = j - -19. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1764)\/18375*5*(-2)\/4*(-80)\/(-112)\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55 = 5*l + 5*h, -9311*h + 9270*h = 5*l - 55 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -121001 (base 3) to base 15.\nAnswer: -1dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 - 324002112?\nAnswer: -324002104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Are 2\/13 and 54467\/100 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*r - 2*j - 8, -10 = -r + 2*j. Suppose 3*s - 27 = -2*i - i, r*s = -3*i + 23. Suppose 1 - 21 = -s*b. Put -6, b, 2 in increasing order.\nAnswer: -6, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4806.1 - -4806. Sort -1, m, -49 in decreasing order.\nAnswer: m, -1, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is (-9)\/(36\/32)*(-42)\/(-20328)?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/52 + 300951\/(-7306).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 0*k**5 + 5*k**5 + 6*k**2 - 15*k**2 - 6*k**5 wrt k?\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 20 = -5*a - 15, 2*i = -2*a - 26. Let v = a - -41. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tx when two letters picked without replacement from {z: 3, h: 1, e: 2, x: 4, t: 4, k: 1}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1506686936?\nAnswer: 2, 188335867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 16 - (-11)\/(1452\/(-1908))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15039 is divided by 14930.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2*-1*3\/6. Let f be 334\/(4*x\/(-1) - 6). Is (f*3\/9)\/(2\/(-6)) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*r**3 + 0*r**3 - 2*r**4 - 4*r**4 + 2*r**4 + 4*r**4 + (-4*r**3 + r**3 + 2*r**3)*(0*r - r + 6*r).\nAnswer: -5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nktttnkknkgqt. What is prob of picking 2 n, 1 t, and 1 k?\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z**12*z)\/z*z*z**4*z)\/((z\/(z**(-29)*z)*z)\/z*z\/(z**29\/z*z)))**(39\/2) assuming z is positive.\nAnswer: z**(663\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 0.9489352 days?\nAnswer: 81988001280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -82\/3?  (a) -7  (b) -0.005  (c) 2\/15  (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -15 + 20. Suppose m - 21 = 4*u. Let a(c) = c**3 + 2*c**2 - 5*c - 3. Give a(u).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1595745 to the nearest integer?\nAnswer: 1263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = 4*n + q - 42, 32 = 5*n - 4*q. Let t(m) be the second derivative of -4*m + 14*m**2 - 21*m**2 - 2*m**3 + m**3 + n*m**2. Determine t(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t**2 + t + 1. Let r(d) = -6*d**2 - 2*d - 7. Give -4*g(h) - r(h).\nAnswer: 10*h**2 - 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 - 2 = -3*d. Let h be d*-1 + (-9)\/(-9). Calculate the lowest common multiple of 4 - (-13 - (-8)\/h) and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-2\/5)*b*(b*b**38*b)\/b assuming b is positive.\nAnswer: b**(198\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x, 1 f, and 2 a when four letters picked without replacement from aaaffaxfaffxx.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 24 = 36. Let m(h) = 8*h**2 + 6*h - 4. What are the prime factors of m(j)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/((-520)\/64)*(-1)\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**2 - 4*t. Let o be h(5). Suppose -l - 6 = -o*j + 1, -2*j = l - 14. What is the smallest common multiple of l and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 234\/17 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pfzzzzsezzzzfzg. What is prob of picking 2 f, 1 e, and 1 g?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63*s = 75*s - 156. Sort 4, s, 0 in ascending order.\nAnswer: 0, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -270643, -271255, -271867, -272479, -273091?\n\"Answer: -612*n - 270031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3538*s**3 - 770*s + 77263348?\nAnswer: 10614*s**2 - 770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 125802 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 22770713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0\/(14 + -12 + 4). Let f(z) be the third derivative of -7*z**2 + 20\/3*z**3 + 0*z + 0*z**5 + 0 + 1\/14*z**7 + 0*z**6 + n*z**4. Differentiate f(d) wrt d.\nAnswer: 60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 759 is divided by 504.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3386?  (a) 3  (b) -5  (c) -3  (d) 2\/11  (e) 63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**3 - 4*s**2 + 2. Let q = 0 - 4. Let l be g(q). Solve 3*k - l*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 132236131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p*p\/p**3*p**(-1\/4))\/(p*p**(2\/7)*(p**(-2\/7)\/p)\/p))\/(((p**(-4)\/p)\/(p*(p**(-3\/4)\/p)\/p))\/(p**4*p\/(p*p**(-5)*p))) assuming p is positive.\nAnswer: p**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9\/47 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 16959.5247 + -16930.5247036. Let f = 29 - m. What is f rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**3 + 4*v**2 - 5*v - 3. Let y be (50\/15)\/((-4)\/6). Let m be t(y). Is 29 a factor of -4 - (0 + m - 30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -129 and 0.2?\nAnswer: -25.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 416 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 445043 is divided by 30?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -92*h + 87*h + 25 = 0. Suppose -3*f - 13502 = -h*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 - -6. Let z(w) be the first derivative of -w**2 - 2 + 0*w + 0*w**3 + 1\/4*w**h. Find the second derivative of z(p) wrt p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - -1) + -3 + 216\/42.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 2*r = -3245. Suppose 3*f - 4*h - r = 0, 4*h + 519 = -5*f + 1590. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**4\/5 + 66*w**3\/5 + 1048*w**2\/5 + 6144*w\/5 + 11776\/5.\nAnswer: (w + 4)*(w + 8)**2*(w + 46)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 10001010000101000010 (base 2) to base 9\nAnswer: 1051731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**2 + 8*p - 6. Let u(s) be the first derivative of s**2\/2 + 8*s - 61. Let g be u(-3). What is z(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**2 - 47*v - 4080. Let b be t(96). What is the highest common factor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 260554368 is divided by 235.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9352 + 9358. Calculate the highest common divisor of 7026 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -7*r + r**2 + 103*r**3 - 29*r**3 - 37*r**3 - 8*r**2 - 38*r**3. Calculate x(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -21335\/13 + 1641. Put -33, u, -6 in increasing order.\nAnswer: -33, -6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = f - 30. Suppose -t = -2 - f. Suppose t + 19 = y. Is y a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -11 + -1. Let r = w - -21. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3114240, 6228472, 9342698, 12456918, 15571132, 18685340, 21799542?\nAnswer: 24913738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2162*n + 6305*n - 275204 = 1378*n - 792701 for n.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 192 divide 1771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = 4*x - 57. Let z(r) = r**2 - 2*r + 2. Let y be z(2). Let u(m) = 4*m**2 - 2*m - 2. Calculate the remainder when x is divided by u(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 29 by -1304359.\nAnswer: -29\/1304359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 474 and 113586200?\nAnswer: 340758600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 713152 and 792.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 12316 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + (-8 + 7 - -8 - (-2 - -3)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7806*q = -7838*q + 192 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vyxnnxxvcnnvv. Give prob of picking 1 y and 1 v.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 4*r + 10 = 0. Differentiate 11*t**3 + 25 - t**3 + r*t**3 - t**3 with respect to t.\nAnswer: 33*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = 27*n - 23*n + 5504, -d - 4*n = -1386. Is d a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 174 and 7018.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 15\/(90\/(-24)) + 4 + 0\/2. Suppose -w = 2, -3*c + w = -2*c - 6. Sort -0.1, c, l, -1.\nAnswer: -1, -0.1, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1005 divided by 15\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 10 = -2*a, -t = 3*t - 3*a - 2. Suppose 3*y - 12 = t*y. What is the highest common factor of y and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26804277.\nAnswer: 3, 330917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**2 + 9*o - 6. Let p be f(-5). Let b(y) = -y**2 - 29*y - 33. Calculate the remainder when b(p) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.862 to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r\/(r**(-2\/15)*r*r*r)))**(42\/11))**(2\/45) assuming r is positive.\nAnswer: r**(1204\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -29?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the second derivative of -c**4\/2 - c**3\/3 + c**2\/2 - 2371*c. Let f(s) = s**2. Calculate 4*f(w) + v(w).\nAnswer: -2*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 24 = i, -3*d + 7*d - 20 = i. Suppose 2*p + 3*n = 16, 3*n - d - 1 = -p. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8760 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1*32\/24)\/((-4)\/6). Let a = -402 - -193. Let l be a\/(-77) + k\/7. Solve 3*i = 4*b + l, 2*i = 3*b - 0*i + 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -113\/95 + -4\/19. Let l = 9\/5 + b. Which is bigger: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(3*2*2\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 0 + 2)*(5*u**3 - 6*u**3 + 3*u**3 + 7) in the form n + y*u**2 + p*u**3 + g*u and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n + 944 - 956 = f, -11*n - 104 = -3*f for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the third derivative of l**5\/180 + 17*l**4\/36 - 92*l**3\/3 + l**2 + 212*l - 3. Suppose n(p) = 0. What is p?\nAnswer: -46, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -5*r**5 + 5*r**4 + 190*r**3 - 550*r**2 + 535*r - 175 = 0.\nAnswer: -7, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the second derivative of -l**3\/3 + 8*l. Let t(v) be the second derivative of -3*v + 0*v**3 + 0*v**2 + 1\/6*v**4 + 0. Calculate a(t(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 12786 or 12787?\nAnswer: 12787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, v: 7, t: 1}. What is prob of sequence vt?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-13)\/(520\/16))\/(4\/(-56230)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the third derivative of d**7\/420 - d**6\/60 + d**5\/20 - d**4\/12 + d**3\/12 - 4*d**2. Suppose j(t) = 0. What is t?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(6\/13)\/j**(-2\/17))**(8\/5) assuming j is positive.\nAnswer: j**(1024\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**3 - 100*t**2 + 481*t - 37819. Calculate v(99).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((-4 + (1*sqrt(304))**2 - sqrt(304)) + ((6*sqrt(171))**2 - (1 + sqrt(1539)))).\nAnswer: -32275 + 65*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -4  (b) -1\/29  (c) -3  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 32002672 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 8) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 8*r - 4*r + 23 = 0, 3*r = 0. Let k = 1 - j. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1555*u**2 - 10*u + 0*u + 1455*u**2.\nAnswer: -100*u**2 - 10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 0.1, 0, -10, -1.56, -3\/35 in descending order.\nAnswer: 0.1, 0, -3\/35, -1, -1.56, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*f = -9*f + 2028. What is the greatest common factor of 195 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 933\/2 - 443. What is the common denominator of (0 + 2)*37\/8 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -12.4 + 12. Let w = j + -7.6. Let o = -8.1 - w. What is the closest to o in -5, -2, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1751.3857 rounded to the nearest 10?\nAnswer: -1750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -154*u**2 + 55*u + 55. Let k(l) = 11*l**2 - 4*l - 4. Give 4*c(s) + 55*k(s).\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**3 + 7*h**2 + 6*h + 4. Let q be j(-6). Suppose w + 8 = q*w - 5*k, k = 2. Differentiate w - 3 - 4 + 3*x wrt x.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 = 5*l - 52 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -7195.7378 rounded to the nearest integer?\nAnswer: -7196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12 - 2 + 2)*(-53*m + 136*m + 59*m + (3 + 0 - 2)*(-7*m + 4*m + 0*m)).\nAnswer: -1668*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 g when two letters picked without replacement from gffcefffee?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4836 and 130?\nAnswer: 24180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 2*w + 6. Let l be 1\/(18\/21 + -1). Calculate s(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:48 PM and 6:17 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -24, -127, -400, -927, -1792, -3079?\nAnswer: -4872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 4) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, i: 5, k: 1, s: 7}. Give prob of picking 1 l, 1 s, and 1 k.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/(1\/(-1)) - -1. Suppose 0 = -k*l - 2*l - 20. Sort l, -4, 2 in descending order.\nAnswer: 2, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -2*b**2 - 5*b - 3. Give o(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 304 and 342.\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4441134133 + 3?\nAnswer: 4441134141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**2 - 9*q - 14. Let k be f(-7). Let j(c) = -6*c + 19. Let p be j(k). Suppose u - p = -17. Is -1 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1681*c - 31 = -m + 1678*c, -13*m + 17*m - 36 = -4*c for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 3528.16nm?\nAnswer: 0.000352816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 221570*v - 221570. Calculate r(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5217 and 10?\nAnswer: 52170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -2\/11610445?\nAnswer: -2\/11610445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**3 + 10*a**2 + 10*a + 16. Let f be o(11). Let x = 8 - 6. Suppose -2*z - x*y = -4*z + 100, 0 = 2*z + f*y - 121. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -21*(16\/(-6) + 3). Let l(m) = m**3 + 7*m**2 - 3. Let o be l(g). Which is the third smallest value?  (a) o  (b) -0.3  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4, -96, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -12*t + 100. Give x(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 6*v - 6*v - 4*v**2. Let j(r) be the third derivative of r**5\/60 - 19*r**2. What is j(w(l))?\nAnswer: 16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-80)\/(-4) + 0 + 0. Let r = 15 - 11. Suppose 64 - i = r*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(700) + -4)**2.\nAnswer: -160*sqrt(7) + 764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0*1\/2 + 4. Suppose 2*j - s = -2*j. List the prime factors of -3 + 27 + 0\/j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-42)\/4)\/1 + (-651)\/21 + 39.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -157*v - 265*v + 696*v - 134*v - 133*v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the first derivative of 18*q**5\/5 + 2*q**4 - 38*q**3\/3 - 14*q**2 - 455. Determine y, given that f(y) = 0.\nAnswer: -1, 0, 14\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*m**2 + 4 - 4 + 552*m**3 - 367*m**3 - 3*m**2.\nAnswer: 185*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -17*z**2 - z + 1. Let f(j) be the second derivative of j**3\/6 + j**2 + 22*j. Let w be f(-1). Calculate q(w).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 274 is divided by 93?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3853?\nAnswer: 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -36*a + 14. Let g be (-15)\/5 + -4 + 4. What is the tens digit of n(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.5  (b) 2\/7  (c) 1\/11  (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dndndnddnhhddddjdnd. Give prob of sequence jdd.\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:26 AM and 10:21 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -2*u - 1. Let r be (-135)\/(-180) + 7\/(-4). Let k(x) = -x - 1. Give r*m(w) + 3*k(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 5*v = -350, 4*g + 2*v - 73 = 3*g. Let m = -21 + g. What is the greatest common factor of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 225252.\nAnswer: 2, 3, 6257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -157*s - 20. Let l(j) = -78*j - 10. Let g(p) = 5*l(p) - 2*q(p). Let f be g(-4). Let a be 2\/4 + (-119)\/f. Which is bigger: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(55)\/(sqrt(5)*-2) + -3*sqrt(55)\/sqrt(5) + (sqrt(110)\/(sqrt(10) - (sqrt(10) - sqrt(40)\/sqrt(4))) - 1*sqrt(396)))*3.\nAnswer: -51*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -95\/776 and 79\/970?\nAnswer: 3880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.28504338 rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8*(-7)\/168)\/(6\/(-6)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74*s + 32*s = 1908 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(675) + -2 + sqrt(675) + sqrt(675) + sqrt(675)*-1 + 5)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 3*d - 3. Let i be u(3). Let a be 649\/209 - 6\/57. Suppose -5*g - 2130015 = -a*f, -2*f - 1278020 = 3*g - i*f. Round g to the nearest ten thousand.\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 11, t: 9}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -448464 by -149488.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.5 + -2. Let u = 500926 + -110203983\/220. Let w = u + -3\/55. Sort w, z, -1 in ascending order.\nAnswer: w, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 47648534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12362470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -14014103 (base 6) in base 12?\nAnswer: -1a7333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.64 + -18277.7.\nAnswer: -18277.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 14 = -5*m, m + 6 = -4*l - 0*l. Suppose -4*x = -m*x - 6. Let a(g) = g + 1. What is a(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 6*i**2 - 6*i**2 - 2*i**4 - i**4 + i**4 - i**4 + (3*i - 1 + 1)*(4*i - i**3 - 4*i).\nAnswer: -6*i**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/(-9) - ((-312)\/9 - -1). Suppose -110 = -14*p - 26. Calculate the highest common factor of i and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-40)\/(-16)*(-2)\/20?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-4 + (sqrt(35)\/sqrt(7) - sqrt(5)) - sqrt(5))*-6 + -2 + sqrt(500)*2.\nAnswer: 50*sqrt(5) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 12*b**2 - 314*b + 96. What is y(28)?\nAnswer: 712","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 6, k: 2, y: 1, q: 2}. What is prob of sequence yqlq?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -239 by 5.\nAnswer: -239\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -j + 4. Let h be v(4). Suppose 0*o + o - 5 = h. Suppose o*i - 57 = 8. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -331*j + 29. Let y be c(9). Let q = -5477 - y. Let f = 4688 + q. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000476244755 rounded to five dps?\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*x - 58330*x**3 + 58337*x**3 - 31*x**4 - 218*x**4 in the form y*x**3 + p*x**4 + l + g*x + d*x**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c. Let z(a) = -2806*a + 11. Let o(n) = 938*n - 4. Let f(h) = 11*o(h) + 4*z(h). What is g(f(p))?\nAnswer: 906*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i - 226 = 4*v - 224, 2*i + 2*v = -4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -0.07, 2\/9, 0.3, 0, -257\/3.\nAnswer: -257\/3, -3, -0.07, 0, 2\/9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = d, -3*a = -2*d - 5 + 16. Solve -d = 3*f - 2*q, -2*f + 16 = f + 2*q for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 24 = -6*k. Let d = 10 - k. Let a = 4 - d. Is -1\/3 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 * 88.8\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the third derivative of a**8\/16 + 17*a**4\/4 + 5*a**2 + 16. What is the second derivative of k(s) wrt s?\nAnswer: 420*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 124978433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**2\/5 - 132646*a\/5 + 4398740329\/5.\nAnswer: (a - 66323)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1624567 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/9 + 138*18\/486.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38128940?\nAnswer: 2, 5, 23, 82889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1640025759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**2 - 6442*z + 6251124.\nAnswer: -2*(z - 781)*(z + 4002)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 56969 is divided by 2081?\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Is 237 a factor of 232734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -189\/2*h**2 + 51 - 9\/2*h**4 - 261\/2*h + 165\/2*h**3 = 0. What is h?\nAnswer: -1, 1\/3, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 15861, 31622, 47365, 63084, 78773, 94426?\nAnswer: 110037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*o = -16*o + 5880. What is the lowest common multiple of 105 and o?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -f**3 + 12*f**3 - f**3 - 8*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 755351 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: Solve 7 = -2*c + 9*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**3 + r**2 - 1. Let z(y) = -2*y**4 + y**3 + y**2 - 3. Let v(n) = -d(n) + z(n). Find the first derivative of v(k) wrt k.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the second derivative of 2*v**6\/75 + 3*v**5\/100 - v**4\/12 - v**3\/10 + v**2\/10 + 45*v. Determine n, given that r(n) = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:19 PM and 10:05 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4635413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*5*(sqrt(156)*-1 - sqrt(156))*-3)\/((sqrt(144)*3)\/sqrt(12) + sqrt(12) + sqrt(12) + -5*(sqrt(24)\/sqrt(2) + sqrt(12))).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in thirty-three fifths of a meter?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 77620 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2553014 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the first derivative of 137*g**2\/2 + 406*g - 94. What is x(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000295818561 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7 - -7.04. Let v = n + -0.71. Let c = 0.11 + v. What is c rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -144*i - 4*i + 5*i.\nAnswer: -143*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 166*w**2. Let v(m) = 8*m**2. Calculate g(v(s)).\nAnswer: 10624*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 12419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 63*c + 110. Give h(0).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -5\/18  (b) 3\/59  (c) -2\/7  (d) 0.1  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5296698, -10593402, -15890108, -21186816, -26483526?\nAnswer: -31780238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 2*n. Let g(u) = 4*u**2 - 9. Let v(a) = -a**2 + 2. Suppose -r - 5*l + 0 = -1, -2*r = 5*l + 3. Let b(s) = r*g(s) - 18*v(s). What is y(b(p))?\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15 - j + 266*j**2 - 268*j**2 - 3)*(j + 3*j + 0*j).\nAnswer: -8*j**3 - 4*j**2 - 72*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -249 greater than or equal to -249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(9)\/sqrt(3) + 4 + 2 + sqrt(3) + -4*(sqrt(3) + (sqrt(3) - (sqrt(3) + sqrt(9)\/sqrt(3)))) + sqrt(27)\/(3*sqrt(9)).\nAnswer: 7*sqrt(3)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-40)\/(15\/(-3)))\/(2\/1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 0 + 16*a - 9 - 1. Let d(s) = 9*s - 3. Let w(i) = -i. Let f(v) = d(v) + 4*w(v). Determine -10*f(j) + 3*u(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 73 a factor of 32787 + -9 + (-13 - (1 + -13))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 9*i + 4. Let r(t) = 26*t + 11. Let f(c) = 4*r(c) - 11*w(c). Let z(d) = 3*d. What is z(f(m))?\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 2*j - 1)*(2 - 12 - 30)*(2*j + 1 - 1) to the form p*j + d + v*j**2 and give v.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 30690, 61380, 92070, 122760, 153450?\n\"Answer: 30690*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 68298 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*u = 6*u + 2580. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and -0.93?\nAnswer: 2.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the second derivative of c**5\/20 + 2*c**4\/3 + 7*c**3\/6 - 631*c. Suppose -o + 0 = -7. Let z be (1\/(-1))\/(1\/o). What is n(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -5*s**2 - 27*s - 4. What is v(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:32 PM and 5:19 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1711*m**6 + 4*m**5 + 38315*m**2.\nAnswer: -205320*m**3 + 240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6609102 is divided by 113950?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -158, -219, -278, -335, -390, -443, -494?\n\"Answer: z**2 - 64*z - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o**4 + 12*o**3 + 9*o**2 - 4. Let f(m) = m**4 - 9*m**3 - 7*m**2 + 3. Let a(y) = -4*f(y) - 3*x(y). Factor a(h).\nAnswer: -h**2*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3 and 729?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 298879843*s**4 - 97240364*s wrt s?\nAnswer: 3586558116*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 195961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5940 - -5944. Let f = -45 + 45. What is the nearest to -2\/9 in 2, 3, k, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -10\/23, -3, -6\/5, -38, 0.1, -0.2, -2\/11?\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 177376\/24 - (39\/(-9) + 5). What is p rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 - 4. Let c(r) be the third derivative of r**3\/6 + 14*r**2 - 2*r. Suppose 0 = -q + 3*y + 2, 4*q - 3*y = q. Let a(t) = t - 3. Calculate f*a(o) + q*c(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 35047\/7 or 5008?\nAnswer: 35047\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -39 + 4. Let j be (-31)\/l + 2\/(-7). Let g = -8.403 - -9.403. Which is the second biggest value?  (a) g  (b) j  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/6?  (a) 1\/41  (b) -0.1  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 4*w + 82. Let m be g(-20). Solve 0*s - m = -2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oqak when four letters picked without replacement from {q: 2, u: 2, a: 4, n: 2, o: 2, k: 2}?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 894.471 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -338, -743, -1150, -1559?\n\"Answer: -x**2 - 402*x + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -550*o**2. Let k(f) = 20*f**2 + 23*f**2 + 32*f**2 - 76*f**2. What is k(b(x))?\nAnswer: -302500*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1247, -4757, -10603, -18785, -29303, -42157, -57347?\n\"Answer: -1168*s**2 - 6*s - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 9 + (-3 - (6 + -9))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(-2*48\/(-256)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1\/79 - -241\/316. Let q = -206 + 833\/4. Find j such that 0*j**2 - 3\/2 - q*j + b*j**3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -140*q**2 - 65084*q + 241906004 wrt q.\nAnswer: -280*q - 65084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**3 + 12*n**2 + 12*n + 5. Let k be l(13). Let p be ((-4)\/k)\/((-1)\/(-68)). Suppose 32*w = p*w - 22. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*j - 2*j - o - 6 = 0, 2*j - 3*o = -2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11 - -2. Let s = 51 - 20. Suppose s = x - 6. What is the remainder when x is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 109738 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-20)\/15)\/((-12)\/(-27))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3309 is divided by 167.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -5*y - 1155, 0 = -h + 4*y + 54 + 168. Calculate the highest common factor of 3068 and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*b - 9*b + 18*b = -1550 for b.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1228711 - 89*n + 1228711.\nAnswer: -89*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 2*h**2 + 10*h - 18. Let a be f(4). Find the second derivative of -2 + a*s**3 - 72*s**3 - 26*s + 2 wrt s.\nAnswer: -108*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**2 - 9*b + 1. Let s(k) = 8*k**2 - 95*k. Let o(c) = 18*h(c) - 2*s(c). Let a be (14 + -2)*3\/(-2). Does 32 divide o(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 34, 141, 320, 571?\n\"Answer: 36*o**2 - o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or -0.36?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 30539, 30514, 30487, 30458, 30427, 30394, 30359?\nAnswer: 30322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*z**3 - z**3 + z**3)*((0*z - 3*z + 4*z)*(3 - 12 - 6) + 2 - 2 - 2*z).\nAnswer: -51*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(72)\/(6*(sqrt(2) + sqrt(8))))\/(2*(sqrt(1452) - (sqrt(1452)*1 + sqrt(1452)))).\nAnswer: sqrt(3)\/396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 250 and 0.08?\nAnswer: 249.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/(-40))\/((-5)\/(-10))*(-4)\/(-45).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 423*h + 431*h - 1276*h + 436*h.\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 - -9443791?\nAnswer: 9443793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -18*b**3*m**2*s**3 + 1321341*b**3*m*s**3 + b**3*s**2 - 946043*m**2*s**3 wrt m.\nAnswer: -36*b**3*s**3 - 1892086*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes after 8:17 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1850\/3 - 615. Sort 40, -5, -5\/4, u in descending order.\nAnswer: 40, u, -5\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 420355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 2*32\/(-705) + 45*64\/21600\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -11*m + 15*m. Suppose -4*b - 36 = -m*t + 428, 4*t - 467 = b. Calculate the highest common divisor of 9 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*r - 2 + 2 + (-3*r + 2*r + 0*r)*(1 + 4 - 7) - 3*r + 7*r - r in the form z + n*r and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-63)\/(-12) - 6\/(-8). Let r(p) = -2*p**2 - p - 28. Let f(h) = -3*h**2 + h - 9. Let m(x) = -f(x) + r(x). What is m(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12099106 is divided by 547?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 21314 - 4559. What are the prime factors of x?\nAnswer: 3, 5, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 2*t**3 + t - 4. Let o be k(2). Calculate the highest common divisor of o and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2425 is divided by (-2 - (-262)\/9) + (-186)\/1674?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16 - 11. Let y = 13\/7 - 11\/21. Let j = -0.1 + -0.1. Which is the third biggest value?  (a) o  (b) y  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54302 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let 74*i**2\/7 - 5134*i + 819888\/7 = 0. What is i?\nAnswer: 24, 17081\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.8*127.5.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(18\/4)*(-396)\/(-66)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -724, -1445, -2164, -2881, -3596, -4309?\n\"Answer: k**2 - 724*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 270344308878+128\nAnswer: 270344309006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88)*2 + sqrt(88))\/sqrt(8) + sqrt(44)\/sqrt(4)*-3 - (2 + (sqrt(33)*-3)\/sqrt(3)).\nAnswer: -2 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-164)\/(-738))\/((-2)\/(-2)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 78984439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 127165924?\nAnswer: 2, 31791481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -144875 by 61.\nAnswer: -2375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -34*r**3 - 2*r**2 + 5*r - 20286?\nAnswer: -102*r**2 - 4*r + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 1, -0.0163, 5, 3\/4, -0.6, 2\/71?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -170, -608, -1792, -4094, -7886, -13540, -21428?\nAnswer: -31922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 2 - 33*a**2 + 6*a**2 - 1 to the form k*a + u + o*a**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 70154693 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in one tenth of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 7) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the first derivative of 7\/2*i**2 - 3*i - 10. Give f(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/(-4)*16\/40?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**2 - 1124*a - 1445*a + 1145*a.\nAnswer: -2*a*(a + 712)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**2 + 27*w + 35. What is the tens digit of s(22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 115\/3?  (a) -40  (b) -2\/233  (c) 1\/5  (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 596969?\nAnswer: 43, 13883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-9)\/2*150\/(-225). Suppose -2*i - 62 = 24*w - 28*w, -w - a*i + 5 = 0. Calculate the lowest common multiple of 63\/4 - 1\/(-4) and w.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*b + b + 576. What is the highest common factor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1430, 11594, 39184, 92912, 181490, 313630, 498044?\n\"Answer: 1452*o**3 + o**2 - 3*o - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-874)\/(-8) - (-18)\/(-72). Let b = s + -76. List the prime factors of b.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 16\/939?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -176 = -2*f - 2*s, 2*s = -2*f - s + 179. Suppose -9*r + 227 = 67 - 146. What is the highest common factor of r and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:05 AM and 7:47 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 11*b*p**3*q - b*p**3 - b*p*q**2*v**2 + 9*b*p + 3228*p**3*q**2*v + 2*p**2*v**2 - 2*v**2 wrt q.\nAnswer: -2*b*p*v**2 + 6456*p**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 - 7?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -12 - -15. Suppose 2*p = -z*a + 36, a - 3*a - 41 = -3*p. What is the remainder when 44 is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1 - 8 - 12036\/(-1836). Suppose 5*q - 1 = 9. Sort f, 2\/9, q in descending order.\nAnswer: q, 2\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -204*v - 164*v - 121*v + 414*v.\nAnswer: -75*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 27158128 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2747484.\nAnswer: 2, 3, 167, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 16 and 2768.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 26217387 and 504?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(156) + -1*sqrt(156)*4 - sqrt(156))\/(3*sqrt(300))*4)**2.\nAnswer: 3328\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the second derivative of -7*y**5\/20 - y**4\/6 - y**3\/6 - 365*y. Determine a(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1383 in 3, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(1 + 1 + sqrt(108))**2 - ((-2*sqrt(48) + -2)*-6)**2.\nAnswer: -7616 - 1272*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1286d4 + -3?\nAnswer: 1286d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q**3 - 22*q**2 - 22*q - 27. Suppose -58*n = -45*n - 299. Calculate k(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, -1, -0.4, 8\/11589?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -46*z - 180*z - 7684 for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 5406866, 10813733, 16220600, 21627467?\n\"Answer: 5406867*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6180?  (a) -4  (b) -1\/9  (c) 5\/42  (d) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 663 = 3*l - 0*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u**2 - 8*u + 33. Give b(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d**4 - 930*d**3 - 116526*d**2 - 1943222*d - 5967480 = 0. Calculate d.\nAnswer: -223, -15, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let 3\/5*v**5 + 12\/5*v + 0 + 36\/5*v**2 + 18\/5*v**4 + 39\/5*v**3 = 0. What is v?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0 and -488124.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -744\/7 - -106. Let x = 1.4 - 1.4. Let g = x + -0.9. Is g greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 83824243 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -13 + 403342?\nAnswer: 403324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -2*i**2 - 240*i - 702 = 0?\nAnswer: -117, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -21 + 774*p**5 - 226*p**5 - 930*p + 944*p**5 + 22 + 2*p**2 wrt p.\nAnswer: 89520*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -59 or 3777?\nAnswer: 3777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 10959 a factor of 1403782146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Do 7 and 183\/31 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -342647.7 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2 - -1 - 2\/(-2). Suppose 3*u + 3*p = -2*p + 29, -4*p + 16 = c. What is the first derivative of u + r - 2 + 0 + r wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*z + 2. Suppose 5 - 26 = -z*i. Calculate the smallest common multiple of 11 and i.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-8)\/(-3))\/(116\/174). Suppose -3*x = -i*x - 4*s + 445, 5*s = -x + 444. What is the remainder when x is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 93\/7202 and 83\/48?\nAnswer: 172848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -29?  (a) 0  (b) 16  (c) -0.07  (d) 2  (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 50\/175 + (-9390)\/(-14). What is the highest common divisor of f and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -16\/3?  (a) 1\/12  (b) -0.02  (c) -0.3  (d) 2\/9  (e) -5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2\/157 + -300\/1099. Let z be (-1)\/((2 + 14 - 2)\/2). Put z, -2, o in decreasing order.\nAnswer: z, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a millisecond in microseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -25*n**3 + 60*n + 115*n**2 + 51*n**3 + 0 + 0 - 36*n**3 = 0. What is n?\nAnswer: -1\/2, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -90 + 97 = 6*x - h + 12, 5*h + 2 = 3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the first derivative of -z**4\/4 - 2*z**3 - 2*z**2 + 6*z + 9830. Suppose 5*f + 14 + 11 = 0. Let s be c(f). Put 0, 2, s, 3 in ascending order.\nAnswer: 0, s, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 852, 857, 862, 867?\nAnswer: 872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -194 + 193.328. Let l = w + 0.032. What is l rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*a = 977 - 1065. Let f be 608\/95 - (a\/20 + 0). Solve 3*s - f = 6*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-2\/5))**(24\/7))**3\/((t**0)**35\/(t*t**(2\/3))**45) assuming t is positive.\nAnswer: t**(2481\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f**2 + 2*f**2 - 4*f**2)*(8*f**3 - 14*f**3 - 2*f + f) + 2*f**5 - 2*f**5 - f**5.\nAnswer: 5*f**5 + f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -13 (base 8) to base 12\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dodddorooddrroddood. What is prob of sequence dd?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5584 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -24666 + 24732. Calculate the highest common factor of b and 3278.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 122 by 4.\nAnswer: 61\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*k**5 + 82*k**2*q**2 + 28*k*q**2 + 37*k - 2*q**2 wrt k?\nAnswer: -60*k**3 + 164*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -11*v - 3. Let h(q) = 24*q + 5. Let a(w) = 2*h(w) + 5*l(w). Let f(g) = 3*g + 2. Let r = 18 + -16. Let d(i) = r*a(i) + 5*f(i). Give d(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - l + 1)*(-2 - 2*l + 2) + (-11*l - 8*l + 5*l)*(-5*l + 0*l + 2*l) + (0 + 0 + 2*l)*(-3*l + 2*l - 2*l).\nAnswer: 38*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 - -19)*16\/1. Suppose 4*z - x = 4*p, -2*p - 177 - 133 = -4*z. Calculate the remainder when z is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 507 + 193. Is o a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 161*f + 5542. Determine s(-32).\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 147 - 105. Let y(k) = -t - 7*k + 42. Let j(n) = n**2. Give y(j(o)).\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 132\/(13 - 24) - 16. Sort 1, -7, 0, i in decreasing order.\nAnswer: 1, 0, -7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the second derivative of 0*t**2 + 0*t**6 + 13\/14*t**7 + 0*t**4 + 17*t + 0*t**5 + 0 - 35\/6*t**3. What is the second derivative of y(m) wrt m?\nAnswer: 780*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.814482ug to nanograms.\nAnswer: 3814.482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x**3 + x**2 + 2. Let g be w(0). Suppose -5*d - 13 = b, -5*b + g*b - 5 = -2*d. Calculate the common denominator of 38\/44 + b - 0 and -67\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8300.1963 rounded to the nearest one hundred?\nAnswer: -8300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 717497.\nAnswer: 11, 19, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve b - 16 = -4*l, 3*b - 106*l = -109*l + 21 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 87021540, 174043074, 261064608, 348086142, 435107676, 522129210?\n\"Answer: 87021534*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0003 rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -7957, -1, 10, 3, 4 in decreasing order.\nAnswer: 10, 4, 3, -1, -5, -7957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -38\/40989 and 31\/31530?\nAnswer: 409890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/120 and 104\/165?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2766 is divided by 32.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-7 - 1)*9\/(-36). Let a(y) = -6*y + 0*y**3 + y**2 + y**3 + 0*y**2 + 4*y**l + 2*y**2 + 6. Let n = -15 - -7. Calculate a(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -1380, 5 in decreasing order.\nAnswer: 5, -3, -1380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 344148112.\nAnswer: 2, 7, 11, 31, 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5249, 5255, 5271, 5303, 5357, 5439, 5555, 5711?\nAnswer: 5913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -53364, -106281, -159198?\n\"Answer: -52917*f - 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 17 + a**2 - 8*a**2 + 0*a**2 wrt a.\nAnswer: -14*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 81\/99*(-341)\/(-155)\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 355505109 to the nearest integer?\nAnswer: 18855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -94, -104, -116, -130, -146?\n\"Answer: -v**2 - 7*v - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.4 and -766924.97.\nAnswer: -766924.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g*g\/(g**(2\/7)*g)))\/((g\/g**(-2))\/g)*(g*(g*g**(-1))\/g)**(-41))\/((g**(-1\/5)\/g**2)\/(g\/g**(-7\/2)*g**(-2\/5)*g)) assuming g is positive.\nAnswer: g**(391\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r + 2*r - 2*r)*(r + 0*r + r)*((9 + 5 - 3)*(r - 4*r + 4*r) + (-3 + 3 - 5)*(-3*r + 2*r + 0*r)).\nAnswer: 64*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.65 + 0.18. Let k = o - -0.54. Sort k, 0.2, -0.1 in ascending order.\nAnswer: -0.1, k, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -5231, -38945, -129621, -305741, -595787?\n\"Answer: -4747*y**3 + y**2 - 488*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0\/2)\/(-17 + 18). Solve -5*h + 20 = 5*u, o*h = 3*h - 2*u - 17 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 2*p + 4. Let y be w(-1). Suppose 2*r = 4*s + y - 14, 41 = 5*s + 4*r. Which is smaller: s or 45\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/1960 and 121\/14920.\nAnswer: 731080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (35\/15 + -5)*(-3)\/4. Suppose -2*i = o - 316, -2*i + 0*o + y*o = -310. List the prime factors of i.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.5 - 6.5. Which is the third smallest value?  (a) y  (b) 0.3  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*c + 329 = 40. What is the remainder when c is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1901, 2271, 2633, 2993, 3357?\n\"Answer: l**3 - 10*l**2 + 393*l + 1517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 10662320 - -127?\nAnswer: 10662447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28826406.\nAnswer: 2, 3, 7, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.79 and 3\/17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -373*m + 106*m + 1105 = -230 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4946 = -8*y + 2318. Suppose -4*n + 996 = -y. List the prime factors of n.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -10*i + 819. Let d(o) = -o + 91. Let r(s) = 2*c(s) - 18*d(s). Let m(x) = 364*x. What is m(r(l))?\nAnswer: -728*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 105102?\nAnswer: 2, 3, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1 and 138.\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 905*f - 6. Let z(o) = -85071*o + 567. What is 189*w(s) + 2*z(s)?\nAnswer: 903*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 826299?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = -5*s + 51126, 0 = 2*z + 29*s - 39*s - 34164. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 344 a factor of 2177864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -65 - -114. Let o = r - 11. Let u = 229 - o. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -69*p**5 + 0 + 5 - 3 - 2 + (-p**2 + p**2 - 2*p**3)*(0*p**2 + 0*p**2 - 2*p**2) + 5*p**5 + 1 - 1.\nAnswer: -60*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**3 - 6*k**2 - 7*k + 5. Let m be q(7). Let s = m + 1. Suppose -64*y - j + 15 = -63*y, -2*y - j + 29 = 0. Solve -5*i - y - s = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**2 - 4. Let k be u(5). Let r(q) = 5*q**2 + 5*q + 1. Let j be r(4). Suppose 844 = 5*n - j. What is the highest common factor of n and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 45, 38, 27, 12, -7?\n\"Answer: -2*w**2 - w + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v + 2 + 13 = h, 3*h = 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 48\/(-9)*1431\/954?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -15, 31, 175, 465, 949, 1675, 2691, 4045?\nAnswer: 5785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 618*z - 5557. Let r be q(9). Solve r*m + 4*u = m + 32, -25 = -2*m - 5*u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**1)**(26\/7)*g**8*g*g\/g**(-5)*(g\/(g*g\/(((g**(4\/9)*g)\/g)\/g))*(g*g*g\/(g**(1\/8)*g))\/g)**(-4\/5) assuming g is positive.\nAnswer: g**(12133\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1796 - 651 = -229*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 2337117, 2337116, 2337115, 2337114, 2337113, 2337112?\n\"Answer: -h + 2337118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -6*f**5\/5 - 1224*f**4 - 209376*f**3\/5 + 3103872*f**2\/5 - 13206528*f\/5 + 18137088\/5 = 0.\nAnswer: -984, -48, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 5*g**3 - 11*g**2 + 4*g + 25. Is r(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7235 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3357 (base 10) to base 2.\nAnswer: -110100011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -100*w**3*z**2 + 2280784*w**3 + 195*w*z - 2*w - 8*z**2 with respect to z.\nAnswer: -200*w**3*z + 195*w - 16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4182 = 51*p - 54*p + 3*f, f - 1388 = -p. List the prime factors of p.\nAnswer: 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:50 PM and 5:17 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 52 by -18.\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(5 + sqrt(52)\/sqrt(4)) + -3)**2.\nAnswer: 136*sqrt(13) + 497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 15 + -17. Let b(c) = 3 + 4*c + 3*c - 3*c - 2*c. Let m(d) = 1. What is s*m(y) + b(y)?\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -194986 + 194995. Let t be (1 - 0)\/(2\/64). Let q be (-4)\/6 - t\/(-66). Which is the closest to -1?  (a) 0.2  (b) r  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is b3 + 21a659?\nAnswer: 21a73c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*t - 43 + 43)*(2 - 5 + 5)*(-t**2 + 0*t**2 + 0*t**2).\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -2*n**2 - 10*n + 41. Let p be f(-7). Solve -s - 7 = -2*d, -5*s + d - 2*d - p = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22b (base 12) to base 5\nAnswer: 2243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-368)\/(-126) + (52\/18)\/13 + -3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16\/(-280) + 352152\/7035.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fifty-two fifths of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 13*(7 + -3 + -5)*1. Suppose 6*g = -13 + 1. Sort -4, j, g, 2.\nAnswer: j, -4, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -443\/9 + 49. Which is the third biggest value?  (a) 3  (b) 1\/7  (c) u  (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00091779756 rounded to five dps?\nAnswer: 0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 2*d. Let t(r) = r. Let m(k) = -3*t(k) + 2*x(k). Let z(q) = 32*q**2 + 17. Let l(w) = 11*w**2 + 6. Let n(o) = 17*l(o) - 6*z(o). Calculate m(n(v)).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add -18.8113311 and 0.5.\nAnswer: -18.3113311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 181, 210, 221, 208, 165, 86?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3316456*g - 20348626 wrt g.\nAnswer: -3316456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11722529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 73443 smaller than 73442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 39, -77, -7 in descending order.\nAnswer: 39, -7, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6187 and 1357.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(88) + (sqrt(2662) - sqrt(2662)*1) + sqrt(2662) + sqrt(2662) + sqrt(2662))\/(-5*2*sqrt(2)*-6) + -2.\nAnswer: -2 + 23*sqrt(11)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 118696 and 296.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1680.66 and 512.\nAnswer: -860497.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11451822, 22903648, 34355474, 45807300?\nAnswer: 57259126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 4}. Give prob of sequence uu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 15138 divided by -3?\nAnswer: -5046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 22 - 19. Let b(q) = q**3 - 2*q**2 - 5*q - 3. Let f be b(4). Let k = n + f. What is the least common multiple of 10 and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -15017, -30036, -45055, -60074, -75093?\n\"Answer: -15019*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the second derivative of s**5\/5 + 22*s**4\/3 + 42*s + 2. Find q, given that i(q) = 0.\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 836\/26 - (-6 - (-160)\/26). Let q = 46 + k. List the prime factors of q.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p + 3*s + 486, -5*p + 598 = s - 0*s. Let b be 24*-4*(-15)\/36. What is the highest common divisor of b and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 2*y + 2666495 = 0, -4*y - 131 = -151. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 9220 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 69\/138 + ((-309)\/54 - (-4)\/18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1819028 divided by 5479.\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*j - 7*j - 16 = 4*u, 20 = -4*j - 5*u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 44*(-11)\/572*13.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14528 a multiple of 908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**2\/13 + 144*z\/13 + 38306\/13.\nAnswer: -2*(z - 179)*(z + 107)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**3 - 2*b - 1. Let v be k(0). Is (-33)\/(-9)*(2 - v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 644 minutes after 7:35 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((35\/(-45))\/(-7))\/((-41)\/(-246))*27.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-1\/3)\/m)**(-1\/35)*(m**6*m)\/m**4)\/((m**(-3)\/m**(2\/7))\/(m**(-2\/5)*m*m\/(m*m\/m**(-1\/5))*m*m)) assuming m is positive.\nAnswer: m**(811\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6466*f - 50*f**3 + 12*f**2 - 1 - 6466*f + 35*f**3 - 12*f**2.\nAnswer: -15*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 13128852 and 26257704.\nAnswer: 26257704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22477 is divided by 2311?\nAnswer: 1678","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 163320516 (base 7) to base 13.\nAnswer: 23c1c27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {b: 2, s: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2720849026?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 13312961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 133 divide 2128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65429.\nAnswer: 7, 13, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -41*(-2 - 1\/(-2)). Let g = d - 1357\/22. Which is the second biggest value?  (a) -2\/3  (b) g  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 1 r, and 1 h when three letters picked without replacement from {k: 2, i: 3, h: 5, p: 6, r: 2, v: 1}.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.3263951l?\nAnswer: 326.3951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 5*n - 26 = 0, -2*n = -0*h + 2*h + 8. Let q be ((-2)\/3)\/(h\/(-4530)). Suppose 18 + 2 = -5*k, 4*m - 5*k = -q. What is m rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = 4 + 2. Suppose -2*s + j*q = -12, 5 = -s - q + 13. Let r = s - -30. Solve 3*z = -k + 19, -4*k + 7*k - r = -5*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 91 bigger than 1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z**(2\/17))\/(z*z**(3\/4)))\/(z**(6\/11)\/(z\/(z**(-2\/25)*z*z))))**19 assuming z is positive.\nAnswer: z**(-745351\/18700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 332781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g + 2*t - 2 = 0, -5*g + 9*t = 8*t - 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39107935?\nAnswer: 5, 23, 89, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -7*y + 9. Let s be 6588\/23058 + (-1 - 1\/((-7)\/(-30))). Let h(x) be the first derivative of 2*x**2 - 5*x + 6. Give s*h(n) - 3*a(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ozgtfafg. What is prob of picking 1 o, 1 t, and 1 z?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xzo. Give prob of sequence zo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i + 7*i + 1744. Let p be 2\/4 + (-1686)\/4. Let q = i - p. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 20 + -6. Suppose -5*t + 159 = s. Calculate the remainder when t is divided by (-2)\/(-4)*(9 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, h: 2, o: 10, j: 7}. Give prob of sequence jf.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1161 and 6966.\nAnswer: 6966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(33)\/(-2*(sqrt(3) + -2*sqrt(3)))*2.\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from diddccddiii. What is prob of picking 3 i and 1 c?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2274*j - 458*j - 456*j - 452*j - 456*j - 451*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -3*w**2 + 2 - 3 - w**2 + 3*w**2 + 5*w. Let v be s(4). Suppose 5*o = -4*p + v, -4*p = p - 5*o - 15. Calculate the highest common factor of p and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 4*g = g - 5283 - 33189, -3*g = 0. What is the thousands digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b**3 + 0*b**3 + 0*b**3)*(-7276*b + 943 + 939 - 1882).\nAnswer: -7276*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 9\/(-4)*32\/(-12). Suppose z + 60 = 5*z. Let k = z + m. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000 - 10011010?\nAnswer: -10010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2150\/(-300) - (-5)\/(-6)) + -57 + -3 + 0?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 - -3.0022. What is x rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the third derivative of d**7\/350 - d**6\/200 - d**5\/100 + d**4\/40 + 3*d**2 - 8*d. Suppose u(a) = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 57 and 1605392517?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -107*n + 106*n = 1, -29291 = -w + n. What is the ten thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -30 + 99. Calculate the remainder when s is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**2 + 12*k + 3. Suppose 3*j = f - 18, 0*f - 4*f = -4*j - 80. Let y = f - 10. What is the units digit of u(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-63 - -63) + (2 + 71 - -5)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.3  (b) 0.2  (c) -0.23  (d) 3  (e) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, 0.5, 1, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(((o*o*o*o*o**(1\/6))\/o)\/o*o))**(5\/9)*((o\/o**0*o)\/o)**(7\/4) assuming o is positive.\nAnswer: o**(59\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -51*g**2 + 1251*g - 10057. Calculate d(8).\nAnswer: -3313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14 - 11. Suppose -g*x + 162 = 3*h, 0 = -2*x - 2*h + 4*h + 88. What is the remainder when x is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -4*h. Let y(i) = 3*i + 1. Let f(d) = 4*p(d) + 5*y(d). Let w be f(7). Let u be (-52)\/20 - w\/(-5). Let s(n) = n + 3. Give s(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 773236 is divided by 375.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3076*l - 38664 = -4150*l for l.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1345 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -3*g - 22. What is the units digit of w(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 41322 and 993858.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v - 3*p - 12, -3*v + p - 1 = 17. Let c(s) = s**2 + 5*s - 4. Let d be c(v). Suppose 0*o + 2 = o. Is d less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3123 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 441\/18*(-8)\/(-14). Suppose 2*n + 5*n = r. What is the derivative of -12 - 5*p**2 - p**n + p**2 wrt p?\nAnswer: -10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n - 2*c + 5, 0 = -n - 4*n + 2*c + 35. Let a(b) be the second derivative of b**3\/6 + b**2\/2 + b. Determine a(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((sqrt(832) + sqrt(832) + 3 + sqrt(832) + 0)**2 - (sqrt(832) + -4 + -1)) + -2 + -4.\nAnswer: 136*sqrt(13) + 7498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -27 + 24. Put 5, -0.5, -0.4, d in decreasing order.\nAnswer: 5, -0.4, -0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1797, 4255, 6703, 9135, 11545, 13927, 16275?\n\"Answer: -p**3 + p**2 + 2462*p - 665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6794101 and 289.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 83 divide 4484079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 25*j**2 - 5*j - 7. Let p(z) = -z**2 - z - 1. What is -5*p(f) + s(f)?\nAnswer: 30*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a kilometer in meters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 718\/31 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 87\/68 and 13\/606560.\nAnswer: 606560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**2 + 4*z + 2. Let b be o(3). Suppose 2*p - 4 = 0, -3*p + 2*p = -b*m + 23. Let j(n) = 6*n + 4 - 2*n - m. What is j(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 8\/28 + 26\/7. Let r(c) = -c + 8. Let u be r(8). Sort u, v, -5 in ascending order.\nAnswer: -5, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**3 + 3*s**2 + 4*s - 2. Let b be u(3). Let d = -7 + b. Suppose 4*f = d*f + 90. Is f a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*c - 12304 + 12430 = 0. Let s(q) = 2*q**2 + 3 - 3*q**3 - 2*q**3 + q + 4*q**3. Determine s(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -49*o**3 - 9*o**2 + 28*o + 3. What is j(2)?\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -5*n - 0*n. Suppose n*q = -5*a + 59, -4*q + 23 + 64 = 5*a. Let j = 76 - q. What is the highest common factor of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nabbdtlatnnddbabnbab. What is prob of sequence dba?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, f: 3, q: 1, j: 1, o: 1, y: 5}. What is prob of sequence fos?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (36\/22 - 2)*589\/2356\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2974 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/(16\/80*(-10)\/(-2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 808.6626kg?\nAnswer: 0.8086626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, 0.3, 190, -2, -4, -4\/9, 1.06?\nAnswer: 190","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72 = 2*h + 80 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 minutes before 1:56 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10100111111000110000010 (base 2) to base 13.\nAnswer: 11a8020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*h**3 + 7*h**3 - 7*h**3 + 3*h**3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 498\/38 - (16\/(-38))\/(-4). What is the highest common factor of 52 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-1)\/(-1))\/((-143)\/(-55)). Suppose -2*k = -11*k + 153. Suppose -5*u - k = -12. Which is smaller: l or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 186 + -10?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 7*z + 15 = 0. Let l be 0*(-3 - -2) + z. Solve -14*o**5 + 10*o**2 + 8*o**3 + 5*o**4 - 15*o**4 - 4*o + 10*o**l = 0 for o.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 205290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 3, g: 1, u: 6, c: 5, x: 5}. What is prob of picking 1 s and 3 u?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -42*q**6 + 576*q**5 + 2*q**2 + 79*q - 1823 wrt q.\nAnswer: -5040*q**3 + 34560*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 - 10 = 2*j + 3*m, -4*j - 4 = 4*m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 11847 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 38 - 71 = 0. Let n be 253*(0 + 0 + 1). Let m = n - u. Calculate the highest common divisor of m and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the second derivative of 0 - 3\/2*l**3 + 0*l**2 - 12*l. Let p(z) = -4*z + 5*z + 3*z. Calculate a(p(c)).\nAnswer: -36*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*r**2*t**3 + r**2 + 4*r*t**3 - 101*r*t**2 + 58*r*t - 264316*t**3 + 8*t**2 - 103*t wrt t.\nAnswer: 12*r**2 + 24*r - 1585896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22*2 + 357646\/(-7973).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*t - 8*t + 2*r + 2 = 0, 20 = 4*t - 3*r. Suppose -2*l = -x - 6, x + t*x + 10 = 2*l. What is the third biggest value in -0.4, l, 0.06?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/33 and 49\/79760013.\nAnswer: 877360143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.01 + -0.205. Round a to two decimal places.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uauupaaauaaauupuevua. What is prob of sequence eu?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (225\/(-10))\/(265\/(-212))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -33 + 35. Put q, 0, 5 in increasing order.\nAnswer: 0, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 62754, 125508, 188264, 251022, 313782?\nAnswer: 376544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 63, 119, 175?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c = -c - l + 6, 4*c + 3*l = 29. Let o(u) = -u - 3. Let g be o(c). Let f = g - -18. Solve -3*r = -7*r - f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 67 + -43. Let w = d - 21. Find the second derivative of i - 9*i**2 + 0*i + 0*i**2 + w*i wrt i.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(1\/9)*d\/d**(-5)*(d**(-1\/3))**(1\/36))**(4\/5) assuming d is positive.\nAnswer: d**(659\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-7)*p\/(p*p**19))\/(p\/(p*p**(5\/2)))**(12\/5) assuming p is positive.\nAnswer: p**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/14)\/((-6)\/28).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 12, 1 = 3*p + q + 3. Let b be (-2)\/(4\/(-54)*-3). Let s be (-870)\/b + p\/3. Calculate the highest common divisor of 12 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5, 2, 21, 58, 119, 210, 337?\nAnswer: 506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the third derivative of 29\/24*o**4 + 0 + 2\/3*o**3 + 9*o**2 + 0*o. What are the prime factors of u(7)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -4*o - 110, 2*o + 2*o = t - 51. Suppose 62*c = t*c. Solve c = 6*i - i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 358740 is divided by 71629.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.0667 + -1.9333. Which is the nearest to 3?  (a) -1  (b) r  (c) 1\/2  (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1016 + 10*t - 14*t - t + 617 + 4*t in the form y + x*t and give y.\nAnswer: 1633","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -29, -50, -85, -134, -197?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*r - 135 - 8 = 0. What is the remainder when 21 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/8 and 57\/1972.\nAnswer: 3944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*d + 5*q = -34*d + 7, 2*q + 10 = 8*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = 91*a - 92*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) 0.11  (c) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.4  (b) -0.1724  (c) 5\/9  (d) 0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 15977*n - 15916. What is x(1)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/53 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-1\/3))**50\/(n\/(n\/(n\/n**(-2\/3))))**31)**35 assuming n is positive.\nAnswer: n**(-7175\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -135, -305, -515, -783, -1127, -1565, -2115, -2795?\nAnswer: -3623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*456050.85.\nAnswer: -45605.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 1935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -30, 4, -98, -3, 5, -1 in ascending order.\nAnswer: -98, -30, -3, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -26 - -44. Suppose 0 = -5*w - 15, 2*z + z = -5*w + t. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l - 3*l + 0*l + 7*l + 3*l + 24*l + (4 - 7 + 4)*(-4 + 2*l + 4))*(1558*l - 10*l**3 - 1558*l).\nAnswer: -330*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**3 - 6*d**2 - 5*d + 4. Let k be p(-5). Suppose 0 = l - 3*l + k. Solve w = l*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the third derivative of -a**5\/6 - 2*a**4\/3 - a**3 - 52*a**2 + 2. Let v(p) = 3*p**2 + 5*p + 2. Give 5*n(x) + 16*v(x).\nAnswer: -2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 48*l + 44*l = 3109, -6*g + 3792 = 2*l. Are g and 6303\/10 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -137\/6 - -71\/3. Let m = 3 - 2.5. What is the second smallest value in 1, m, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 154 and 21427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -522 = -187*u + 39 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = 4*f + 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.012874466 and -1282.\nAnswer: -1282.012874466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, 15, -366, 10.3, 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**2 - d + 2. Let z = 6 + -6. Let b be f(z). Is 270\/14 - b\/7 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-50)\/20*12\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.3 in 3, -1.5, -0.2, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2695322 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f - 4*h = 5, f + 1169 - 1170 = 3*h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 119 - 116. Let d be 6\/14 - (1 + -1). Put s, 3\/5, d in descending order.\nAnswer: s, 3\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 904436660 is divided by 452218324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 + -3 - (-2 + 3) - -5300 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 - -6. Let d = 1 + l. Suppose -d - 19 = -4*x. Solve -3*j + 5*y - 5 = 0, -j = -0*y - 5*y + x for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1265\/8 - -1355\/8. Sort -2\/5, 5, k, -4 in increasing order.\nAnswer: -4, -2\/5, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/21, -0.078, 1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -40 + 46. Suppose -2*s + a*s = 48. Do s and 15 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1567676 is divided by 1396?\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -102031021 - 1?\nAnswer: -102031022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: ((-5520)\/18)\/10*(-8)\/(1120\/(-21))\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let v = -64.5 + 63.5. Is v != -0.0105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1651 less than 319.64?\nAnswer: -1331.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the second derivative of -3*q**8\/28 - q**4\/12 - 3*q. What is the third derivative of o(k) wrt k?\nAnswer: -720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -12\/43, 2, -19\/4?\nAnswer: -12\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.5 and -422.76.\nAnswer: -423.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 4 + 0)*(413*c + 139*c - 2 + 227*c).\nAnswer: 1558*c - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**3 + 13*h**2 - 25*h + 31. Let u = -31 + 19. What are the prime factors of i(u)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-5)\/(-25) - 3\/5. Let r = -16.5 + 25.5. What is the third biggest value in -3, r, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the second derivative of -s**3\/6 + s**2 + 3*s. Let g be i(-2). Solve 5 = -y - 2*y - 2*l, -3*y = l + g for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that w**3\/2 - 326*w**2 + 58859*w\/2 - 29104 = 0.\nAnswer: 1, 107, 544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z + 5*i + 20, 8 + 0 = -4*i. What is the remainder when 16 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -52 + 34 + (-3 - -13) - -42\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 (base 5) in base 3?\nAnswer: 11012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 404 - 1426 = 0. Let z = n + -270. Round z to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x**1*x*x))**11*x**(-4\/11)\/x**(-7\/3) assuming x is positive.\nAnswer: x**(-661\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/(-20))\/((-18)\/10)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 677154761?\nAnswer: 17, 71, 109, 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 26\/(-182)*133\/(-38).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 13337445*n + 8175981.\nAnswer: 13337445","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:01 PM and 11:11 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39 + 13 = -13*w. Solve w*n + 0*n - 16 = 4*k, -4 = k + 5*n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2878433 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1706 - -449. Suppose 0 = -4*p - 2*j + 8602, 3*p + 2*j - w = 2*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -98 - -98.3. Let r = 0 + 0.1. What is the nearest to -1\/3 in d, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the third derivative of 319*o**6\/24 + 158*o**3\/3 + 223*o**2. Differentiate j(w) wrt w.\nAnswer: 4785*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (0 - 42\/(-5))\/(3933\/345). Factor -r*p + 2\/19*p**3 + 12\/19 + 0*p**2.\nAnswer: 2*(p - 2)*(p - 1)*(p + 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 + -9 + 14 - 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4\/9*c**2 - 2\/9*c + 2\/9*c**3 + 4\/9 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-2\/11)\/o)**(-35)\/(o**(-2\/9))**(2\/21))**(-27) assuming o is positive.\nAnswer: o**(-86039\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 879502800*f - 1072329989 with respect to f.\nAnswer: 879502800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 28963 - 53363\/2. Find j, given that 117\/2*j**2 + o*j + 1\/2*j**3 + 59319\/2 = 0.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjjxjxgjexlgejjellgr. Give prob of picking 1 j and 1 g.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c. Let u(x) = 4*x**2 - x + 3. Let m(z) = -2*j(z) + u(z). Let o(h) = -h**4 - h + 1. Let n(b) = m(b) - 3*o(b). Find the third derivative of n(a) wrt a.\nAnswer: 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:33 PM and 3:32 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1476306243.\nAnswer: 3, 883, 20641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-23)\/(-5) + 4\/10. Suppose -a = 4*s - 15, -p*s + 6 = a - 11. Find the second derivative of 9*b**3 - 3*b - 11*b**3 + a*b wrt b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 100692.043 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 31*q**3 - 6857*q**2*s - 2*s + 13025150 wrt q?\nAnswer: 93*q**2 - 13714*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -2 - 7. Let l = 0 + f. Factor 3*v**3 - 4*v**2 + 3*v**3 + v + 0*v**l - 4*v**4 + v**5.\nAnswer: v*(v - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000125295053 to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i + 25 = -2*t + 3, 16 = 4*i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9034577.\nAnswer: 9034577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 7 - 65 = 0. Solve -2*r - 5*t + d = 0, -2*r + t - 2*t = -9 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 248179602097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 413\/12 + -1733\/48. What is the common denominator of (((-3)\/(-15))\/(16\/40))\/((-9)\/(-159)) and i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 2*n**3 + 6*n**2 - 1. Let d be 6 - (5 + 14\/(-3))*2004. Let y = -665 - d. Give v(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29682 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 4728*z - 52096. Determine i(11).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, 223, 15038, 1?\nAnswer: 15038","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1079, 1390, 7943, 20620, 41461, 72506, 115795, 173368?\nAnswer: 247265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k\/k**(-4))\/((k**(-3\/4)*k)\/k))\/((k**(-2\/23)\/k)\/(k\/(k**(2\/23)*k*k*k))))**(-19\/4) assuming k is positive.\nAnswer: k**(-361\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 117040 and 224?\nAnswer: 234080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 3*u + 419 = 0, 3*u + 0*u = -4*m + 413. Is m a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-3\/8))\/d*d**(-10)*(d*d*d**16*d*d)\/d**42 assuming d is positive.\nAnswer: d**(-259\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 26, 53, 104, 185, 302, 461, 668, 929?\n\"Answer: j**3 + 6*j**2 + 2*j + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 9557, 9555, 9551, 9545, 9537?\n\"Answer: -l**2 + l + 9557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3\/2 - 1)*0. Let n be 0\/(m + (1 - -1)). Solve 4*g + n = -4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -13\/4?  (a) 4  (b) -1\/9  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 26254357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -7 + 1715b7?\nAnswer: 1715b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**3 + 7*o**2 - 5*o - 2. Let x be u(6). Suppose -x*c - 5 - 3 = 4*l, 8 = -2*l - 3*c. Is l\/6*(3 - -756) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-5 + (sqrt(5) + 0)*-6 + 3) + (0 + (sqrt(320) + -1*sqrt(320)*-6)**2)*-2.\nAnswer: -31368 - 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 31\/6 of a week?\nAnswer: 868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 117 + -112. Solve 9 = -f*p + 2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the third derivative of -9*y**8\/112 - 7*y**5\/12 - y**2. Find the third derivative of f(r) wrt r.\nAnswer: -1620*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -214546 * 133.\nAnswer: -28534618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00031961 to five dps.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 329*k - 108*k - 121*k - 1200. Let z = -5 - -7. Suppose q = -z*q + 45. Solve q*y = k*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2.5 + 3.5. Which is the closest to z?  (a) -1\/3  (b) 0.3  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 210728805.\nAnswer: 3, 5, 7, 151, 13291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add together 10260898.225 and 19.\nAnswer: 10260917.225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-6\/11)\/((p*p**4*p)\/p)*p*p**(2\/57)*p*p**(-8\/9) assuming p is positive.\nAnswer: p**(-8275\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 1013 (base 4) to base 14\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/(-4) + (-55)\/(-20). Suppose 9 = -2*t + 3*a, 0 = -3*t + 4*a - 5 - 7. Suppose t = 2*q - n - 127, -u*n = -4*q + 1 + 252. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**2 + 5*q + 4. Let d be f(-5). Solve 0 = 4*u + m + 17, 3*m = 2*u - m + d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 71734119 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 - 13 + 1 - 28*z**2 + 4.\nAnswer: -28*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i**3 - 7*i**2 - 4*i + 30. Let f be u(7). Solve f*k - 16 = -20 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -567 + 570. What is the nearest to -11\/12 in 0.3, k, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -3 + ((-45)\/25)\/((-1)\/5). Let b be (-2 - -3) + (7 - f). Let t be (42\/(-70))\/(1\/(b\/(-3))). What is the closest to -1 in -10, 1\/6, t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that 85*i**2\/2 - 919505*i\/4 - 527475\/2 = 0.\nAnswer: -39\/34, 5410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1101 - -679. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 223 minutes before 1:47 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 130\/3 + -43. Determine u, given that -3*u**2 - 5\/3*u**3 - 7\/3*u - g*u**4 - 2\/3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w - 2*w + w)*(-6 + 0 + 3 + (5 - 1 - 1)*(-1 + 5 - 1)*(22 - 34 - 16)).\nAnswer: -255*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes after 6:39 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -k - 518, -5*k + 137 + 878 = -2*x. Let s = 549 + x. Calculate the highest common factor of 255 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -124, 2, 0.4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(136) + sqrt(136)*2*-2 + 1*sqrt(136)*-3)*1)\/((sqrt(64)\/(sqrt(32)\/sqrt(4)) - ((sqrt(392) - (sqrt(392) - sqrt(392)*1)) + sqrt(8)))*3).\nAnswer: 2*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*((sqrt(98)*1 - sqrt(98)) + sqrt(98))\/sqrt(2))\/(sqrt(28)\/(sqrt(396)\/sqrt(11))).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {n: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ddr when three letters picked without replacement from rdrdddd?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3887 - -4065. What is the remainder when t is divided by 131?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 9*q**2 - 5*q + 5. Let r = 1 - -3. Let b(l) = -3*l**2 - l - 1. Let g(x) = -5*x**2 - 4*x - 1. Let i(n) = 5*b(n) - 2*g(n). Determine r*j(y) + 7*i(y).\nAnswer: y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 789 and 31297?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 30397.29 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4.308 - -7.308. What is the second smallest value in 1\/11, k, 0.7, 0.4, 2\/49?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -108\/79 + 7953\/790. Find the common denominator of 4 - ((-341)\/(-12) + 2\/(-3)) and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -294996\/121 + 2438. Let j = -347\/968 - r. Which is the nearest to -8?  (a) -1\/3  (b) j  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -386 - -396. Solve -c = 0, -2*c + 5*c = -2*f - d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -2*p**3 - 10*p**2 + 2*p + 11. Determine b(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:23 PM and 3:51 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 3842749583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 69 + 81 = 0. Sort y, -0.5, 1, 2 in decreasing order.\nAnswer: y, 2, 1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8570939*y**6 - 4187*y**2 - 471*y - 1 wrt y?\nAnswer: -1028512680*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 40 and 1208.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1076, 4533, 10296, 18365, 28740, 41421, 56408?\n\"Answer: 1153*p**2 - 2*p - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 12484*g + 8. Calculate f(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 5\/14 of a week?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -4*d**3 - d**2 + 2*d + 3. Let l(z) = z**2 + 2*z + 1. Let p be l(-3). Let r = -6 + p. What is the tens digit of x(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -85973*a - 85990*a + 171939*a.\nAnswer: -24*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:39 PM and 11:10 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*a = 236 + 43. Put 1, a, 10, -1 in decreasing order.\nAnswer: 10, 1, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**3 + 4*t**2 + 2*t - 3. Let j be k(-3). Let i be (-4)\/(0 + -2 - j). Factor -2 + i*c + c**2 + c + c - 5*c.\nAnswer: (c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(78) + (sqrt(78) - -2*sqrt(78))*-4)*6)\/(-5*(sqrt(30)*-1)\/sqrt(5)).\nAnswer: -66*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**2 - 3*v - 3. Let j be g(3). Let l(w) = -8*w + 640. Let r be l(78). What is the third smallest value in r, j, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lmm when three letters picked without replacement from qmqqttlqqmqqq?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -60, -61, -50, -21, 32, 115, 234?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 3*l - 49. Determine j(10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*q**2\/5 + 176108*q\/5 - 389560704\/5.\nAnswer: -4*(q - 41691)*(q - 2336)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-5) - (-10)\/(-20).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 6 + 0 - 6 - 99*v + 108*v. Let z(y) = 4 + 5 + 5*y - 4*y. Let j be z(-10). What is n(j)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69 = -2*m - 3*g, 4*m - 3*g = -0*m + 93. Suppose 5*r - 10 = 0, -m = l - 6*l - r. Let b = -4710 - -4725. Calculate the greatest common factor of l and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.7 and 0.046.\nAnswer: 0.0782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = -2*c + r + 517, -1002 = -4*c - r. Let g(j) = 2*j**2 + 5*j - c*j**3 + 250*j**3 - 4*j**2 - 1 - 1. Calculate g(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -5942*s. Let z(n) = -9*n**2. Calculate z(b(g)).\nAnswer: -317766276*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m = 5*x + 7 - 0, 0 = 5*m - 2*x + 14 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 1750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b - 4*u - 78 = 0, -4*b - 3*u - 108 + 53 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -65079 - -93202. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1367 is divided by 85.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 437*j. Let c(p) = -3*p**2. Give t(c(z)).\nAnswer: -1311*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 21, -5, 8526?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**3 - h + 1. Let q(k) = -115*k**3 - 23*k + 23. What is q(a) - 23*u(a)?\nAnswer: -92*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 26124788 to the power of 1\/4, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 4 = 0, 184 = 5*w - w + 5*a. Let l = w + -36. Suppose -i - c + 16 = 0, l*i - c = 25 + 55. Calculate the highest common factor of 12 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.03 + 0.73. Suppose 0 = 4*f - 3*l + 8, f + 3*l + 37 = -4*f. Which is the nearest to -0.1?  (a) z  (b) -1\/10  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5039 - 1684 - 1678 + 14551*d - 1677)*(-d**2 + 0*d**2 - 2*d**2) as x + g*d + v*d**3 + h*d**2 and give v.\nAnswer: -43653","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2*o + 6*o - 3 + (3 - 3 - o)*(1 + 3 - 3) - o + 17*o - 11*o)*(0 + 1 - 3).\nAnswer: -16*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 397 or 674?\nAnswer: 674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes before 7:33 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y**5\/15 + 6*y**4\/5 - 2*y**3\/15 - 14*y**2\/5 - 2*y\/15 + 8\/5 = 0. Calculate y.\nAnswer: -4, -3\/2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -2450040 rounded to the nearest ten thousand?\nAnswer: -2450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 25.941 + 0.059. Let d = n - 8. Let a = d + -23. What is the nearest to 2 in a, 5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 * 0.3877.\nAnswer: 0.19385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -1. Let a(p) = 2. Let y(i) = 2*a(i) + 2*c(i). Let d(t) = -t + 7. Let j be 10\/(-15) - (-6)\/9. Suppose u - 8*u + 49 = j. Calculate u*y(n) - 2*d(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*z - 2*z + 2*z)*(-2 + 3 - 3) + (1 + 0 + 2)*(-460 - 46 + 156)*(2*z + 3*z - 3*z) in the form n + a*z and give a.\nAnswer: -2096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 50250 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -264338, -264339, -264340?\nAnswer: -264341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*x + 0*x = 22 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1044601 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 238062 divided by 3.\nAnswer: 79354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20)\/(-50)*15030\/(-4509)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16\/(-18))\/(1550\/153450).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -5\/294 and 43\/1140524.\nAnswer: 3421572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 9600783343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1 + 0 - -3)*23\/(-4). Let o = a - -36. What is the remainder when 44 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (1*sqrt(68)*-5)\/(sqrt(12)\/sqrt(3)*-3) + 0)**2.\nAnswer: -40*sqrt(17)\/3 + 569\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 632 + -467. Calculate the greatest common divisor of k and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1671.379t to nanograms.\nAnswer: 1671379000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1136967 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 53523 and 1900.\nAnswer: 5352300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 8208\/720 + (-14 - (-49)\/7)?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -43 divided by 2?\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -29, -58, -87, -116, -145, -174?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sfss when four letters picked without replacement from fsssffffsssfsssfsss.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from sbaasbaaaahb?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) -0.4  (b) 17  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Do 1185 and -572 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -127116*v**2 + 5*v + 27. Let c(n) = -381346*n**2 + 15*n + 82. Let j(u) = 2*c(u) - 7*i(u). Let g be j(-5). What is g rounded to the nearest 100000?\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 236 + 235 + 513*i - 471 as n*i + s and give n.\nAnswer: 513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 12 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -22*o + 1. Let d(b) = -b - 7. Let z be d(-4). Suppose 1042*y + 106 = 1047*y + s, y = 4*s + 59. Calculate the remainder when r(z) is divided by y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4\/15  (b) -3  (c) -2\/9  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-129)\/(-9) + (-4)\/(-6). Suppose 2*y - p = 3*u, 9 = -2*u + 5*u. Let n = 116 + -68. Calculate the highest common divisor of n and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 23*d**3 - 668*d**2 - 77*d + 3078. Give k(29).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 24897 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (-2 + -3 - -9) - (10 - 7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*m**5 + 15*m**4 - 25*m**3 - 25*m**2 + 15*m + 10 = 0. Calculate m.\nAnswer: -2, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(27)\/(-1*sqrt(9)) - sqrt(3)) + 0 + 0).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t + 5 - 1. Let z be (-32)\/((-4)\/(-1))*-2. Let l be ((-60)\/z - -3)\/3. Which is the closest to 2?  (a) -3  (b) l  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*z + 4*z - 156. Let d be 388\/5*1\/2. Let l = z - d. Sort -1, l, -2\/3 in descending order.\nAnswer: l, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) 11  (b) -25  (c) -2\/3  (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - n = -120. Let o = n + 18. Let j = o - -49. Calculate the remainder when j is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 3*c**2 - 2*c - 4. Determine d(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -n**2 + 17*n**3 - 8*n**3 + 12*n**3 - 3*n**3.\nAnswer: 18*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -13 - -1. Calculate the lowest common multiple of (-11 - l)\/(2\/356) and 4.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56016525079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.3  (b) -726  (c) 0.1  (d) -0.1  (e) -4\/9  (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, p: 12}. Give prob of sequence pp.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -59\/18, -0.13, -1\/4, -6, 2, 1\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 8 - (10 + -1 - 3). Solve m*u + 5 = -3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4107469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 120 and 300?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 28 + -17. Let c(h) = -5 - 11*h**2 + h**3 + 2*h - 5 - 6. What is the lowest common multiple of c(b) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(24) - (2*sqrt(24) - sqrt(24))*4)\/(sqrt(96)\/sqrt(3) + sqrt(32)) + 5 - (-4*-4*(0 + sqrt(3)) + 2*sqrt(192)*2).\nAnswer: -195*sqrt(3)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-16)*-2*4*-32*2701\/(-11680)\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**2 - 15*o - 11. Determine y(-12).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2033 + -1181. Let b = -523 + i. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ppcc when four letters picked without replacement from cccccccppcc.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 171476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 106412043719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 3*i = -v + 18, -v + 10 = -2*i. Suppose 21 = 5*w - v*w - 3*n, 3*w = -n + 21. Let p be 1446\/14 + (-2)\/w. What is p rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 3 - 1)*(-45 - 3*f + 45)*(-12 + 19 - 26) + 0*f - 5*f + 3*f to w*f + k and give w.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*o - 5*o - 5*o)*(3*o**2 - 3*o**2 + 2*o**2) to u + z*o + p*o**2 + q*o**3 and give q.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that 5*g**4 + 105295*g**3 + 105250*g**2 - 842380*g - 1263480 = 0.\nAnswer: -21058, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*o + 47 = 11. Let s be (-72)\/(-96) + 2481\/o. What is the greatest common factor of 69 and s?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/(-2))\/((-116)\/(96280\/(-249)))?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*x + 12*x + 61 = 4*z, 3*x - 4*z = 43. What is the remainder when 95\/3 - 2\/(-6) is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 5*y + q, y - 2*y - 4*q + 15 = 0. Let w(u) be the third derivative of -u**2 + 1\/2*u**4 - 1\/10*u**5 + 0*u + 1\/120*u**6 + 0 - 4\/3*u**y. Factor w(o).\nAnswer: (o - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = 5*p - 7*p + 20, 0 = -5*o + 20. Suppose -3 + 19 = 2*m. Which is bigger: p or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 + -25 + 19 - 5 - (-1 - 6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 8\/20 - (-13)\/5. Suppose 12*f - g = 11*f. Factor 15*y**2 + 10*y**2 - 17*y - 57*y**3 - 4*y**4 + 3 + 54*y**f - 4*y**2.\nAnswer: -(y - 1)**2*(y + 3)*(4*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -93283.891 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 64\/1235 and 127\/7072750.\nAnswer: 91945750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5\/9*m**2 + m**3 - 4\/9*m + 0.\nAnswer: m*(m - 1)*(9*m + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, -5, -18, 3, -45, -1 in descending order.\nAnswer: 13, 3, -1, -5, -18, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-1)\/(-1)*(-55204)\/(-74).\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes before 12:45 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 233770021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1209026 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.083 - 3.533. Let d = -0.06 + 2.86. Let v = x + d. Round v to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**2 - 84*a - 1268. Calculate h(-21).\nAnswer: 937","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -5247880, 1, -1\/4, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 479346 to the power of 1\/2, to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -11 - -16. Suppose -2*d - f + 45 = 2*f, a*d = -4*f + 102. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*o**2 + 6 - 3 - 3.\nAnswer: 19*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14912 + 14979. Solve 82*g + 805 = s for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2958*o**3 + 4*o - 73 - 5347*o**3 + 2772*o**3 - 3*o wrt o.\nAnswer: 2298*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 207392 - 1694923\/8. Let y = 4485 + z. What is the common denominator of -31 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 + 7 = -3*a. Suppose -a*q = -25 - 5. Let d = 0 + q. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*w + 5 = -40*w. Let s = -0.2 + 0.1. Let i = 0.2 - s. Which is the closest to w?  (a) i  (b) -0.5  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand m**4 + 6*m**4 - 5*m**4 + (-3*m - 3*m**3 + 3*m)*(-3*m + 0 + 0).\nAnswer: 11*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, j: 2, a: 4, i: 1, c: 2, q: 1}. Give prob of picking 1 i and 2 j.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-40)\/3 - ((50 - 34) + -30))*3*14?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -178*p + 3. Let d(s) = -107*s + 2. Let v(y) = -3*b(y) + 5*d(y). Suppose -9 - 24 = -3*l. Let k(n) = 11. Give l*v(a) - k(a).\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1427 is divided by 160.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 + (-1 - (3 - (-3 - -12)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y**3 + 412*y**2 - 5456*y + 15488 = 0. What is y?\nAnswer: 4, 11, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -153098 times 20?\nAnswer: -3061960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 114 and -1 + 15*(-18)\/(-27).\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {x: 1, r: 14}?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -34*l**2 + 259*l + 13. Give n(7).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the second derivative of -s**5\/20 + 7*s**4\/6 - s**3\/3 + 27*s**2\/2 + 7*s. Let m be f(14). Let i be (0 + -4)\/2*m. Solve -1 - i = 3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23599 is divided by 23354?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 9 + (-6 - -190)\/8. Solve -12 = -44*q + p*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 573717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 0 + 3 + (-2 + 2 + 1)*(-1 + 4 - 4) + (1 + 2 - 5)*(2 + 0 + 0))*(49*d + 48*d**3 - 49*d) in the form r*d + w*d**2 + n + i*d**3 and give i.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*o + 0*o - o - 140*o - 9372 + 9372 + (3*o + 4*o - 5*o)*(-3 + 5 - 3).\nAnswer: -143*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -2*g**4\/9 - 6814*g**3\/9 - 6802*g**2\/9 + 34054*g\/9 - 6812\/3 = 0.\nAnswer: -3406, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 3*a. Let k(v) = -2*v + 15. Let t be k(10). Let b(n) = 7*n - 1. Let w(u) = t*g(u) + 2*b(u). What is w(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 665 divide 209768687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 28*h - 57. Suppose 3*y - 2*m - 25 = -2*y, 5*y - 25 = -4*m. Let i(q) = 14*q - 28. Let c(p) = y*i(p) - 3*n(p). What are the prime factors of c(-9)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 56165498 is divided by 323?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 p when two letters picked without replacement from {t: 4, p: 9, u: 1}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k + 2*z + 2 = 0, 4*z - 23 = -2*k - 39 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 - -53. What is the highest common divisor of 72 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10924319 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 144 and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44805.\nAnswer: 3, 5, 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.061 - -30.939. Let u = 0.02859 - 31.05859. Let i = u + h. Is -1 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 17, -6, 5 in descending order.\nAnswer: 17, 6, 5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15 - 21. Let g be (6 + -7)\/((h\/(-33))\/(-2)). What is the greatest common divisor of g and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (440\/(-165))\/(16\/18)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 48431*k + 82389.\nAnswer: 48431","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in one tenth of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19901503?\nAnswer: 19901503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*t + 1 = -7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.4 in 0.5, 795, -5, 171, -1, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 462*k - 2 - 3 + 1.\nAnswer: 462*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30882?\nAnswer: 2, 3, 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -2201012001 (base 3) to base 13\nAnswer: -1b391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*y - 164 + 32 = 0. What is the highest common divisor of y and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -13 - -8. Let l be (9\/12)\/(c\/20). Is 13 a factor of (-20 - l)\/(-1*1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(300) + sqrt(300))*-2 + (sqrt(300) + 1)*-4 + sqrt(300))**2*5.\nAnswer: 1200*sqrt(3) + 13580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 3*b = 5, 79*b = 5*i + 80*b - 53. Solve 3*m + q - i = 0, 49*q = 4*m + 52*q - 23 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1966 and -0.2?\nAnswer: 0.03932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:36 PM and 10:14 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p**2 - 12*p - 1. Calculate t(-5).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4*-2*4022\/4. Round h to the nearest one hundred.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 280*s + 16. Let t(g) = 56*g + 3. Give 4*r(n) - 22*t(n).\nAnswer: -112*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1\/(-10))\/((-41)\/(-82)). Let d = 21\/38 + -1\/19. What is the third biggest value in 5, d, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-21)\/v*v**(1\/5)*v*v)\/(((v*(v**20*v)\/v*v*v)\/v)\/(v*v**32)) assuming v is positive.\nAnswer: v**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 82\/347277 and -47\/161?\nAnswer: 347277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 60526 and 12562?\nAnswer: 665786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that -q**2\/4 + 74*q - 295\/4 = 0.\nAnswer: 1, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add together 156 and 84255.\nAnswer: 84411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -35271 + 36293863\/1029. Let q = 11085\/1372 + n. Calculate the common denominator of 91\/24 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 11130 and 1886010?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2766 is divided by 55.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-1))\/(182\/(-1664)) - -2 - -7.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/8 and 19\/3027.\nAnswer: 24216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b**3 - b**2 - 1. Let i(c) be the first derivative of 9\/4*c**4 + 7\/3*c**3 - 3 + 3*c + 0*c**2. Let d(n) = -i(n) - 3*m(n). Factor d(j).\nAnswer: -4*j**2*(3*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - 1226\/28) + (-315)\/1470?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*p = -22*p - 370. Let s = p + 107. Let b = s + 61. What is b rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the second derivative of -p**5\/5 + p**4 - 2*p**3 + 2*p**2 - 35*p. Determine c so that g(c) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/((-39)\/(-14007) - 0). Let p = 359 - l. Suppose 26 - 29 = 3*b. Which is smaller: b or p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -1  (b) -0.09  (c) 198424\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(((sqrt(1100) - sqrt(44))*5 - sqrt(44)) + sqrt(44) + sqrt(484)\/(sqrt(11)*-1 - sqrt(11)))\/(5*-1*sqrt(100)*-2))**2.\nAnswer: 150579\/10000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -6 - f82a?\nAnswer: -f830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57 = 15*i - 18. Put -2\/5, 0.08, 2, i in decreasing order.\nAnswer: i, 2, 0.08, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 20222 - -1?\nAnswer: 20223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2\/13, 2\/9, -498, 0.4, -1, -0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 21 + 57 = 5*u, 73 = 5*u - 2*d. List the prime factors of 25\/(3 + (3 - 87\/u)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1530229\/50 + -30603. Find the common denominator of f and 27\/14.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 5380  (b) -144  (c) 0.3  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -13249\/6 equal to -2207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**2 + 6*c - 2. Suppose -2*k + s = -8, k - 4*s = s - 14. Suppose f = -0*f + k. Suppose -3*i - 5*g = -4 - f, -17 = -4*i - 3*g. Determine n(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -31.8 - -33.37. Let n = 0.17 - x. Let l = n + 1.399983. What is l rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 9*w**3 - 4*w**2 + 4*w + 4. Let b(l) = l**3 - l**2 + l + 1. Determine 4*b(n) - f(n).\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*v - 2*v - 5 + 5321*v**2 + 2 + v**3.\nAnswer: v**3 + 5321*v**2 + v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5 - 2 - 2*z + 5 + 44 + 27*z - 44 + 2*z - 2*z + z + 5*z - 2*z - 4*z + (-2*z + 2*z - 2*z)*(3 + 0 - 1).\nAnswer: 21*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*f + 4127 = s + 4126, f - 3 = -3*s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 93 + -152. Let d = 65 + c. Solve -a - 3*q + 10 = 0, a + q = -0*a + d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + (6 - ((-2 - 2) + -3 + 4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -38 + (7 - 4) - 4\/1. What is the nearest to 1\/4 in 2\/3, 0.5, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**4\/4 - 181*q**3\/4 + 3612*q**2 + 1107008*q + 54440960.\nAnswer: -(q - 155)*(q + 112)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i - 100 = -5*i. Let c be ((-45)\/i)\/9*4. Which is bigger: c or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (5\/((-315)\/12))\/(13\/((-156)\/8)). What is the closest to -2\/9 in 0.4, 0.1, -1\/31, q?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 5*v - 4. Suppose -v*h + 25 = 9. Let j(b) = -b**2 + 6*b - 2. What is the remainder when h is divided by j(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((-63)\/(-45))*(-20)\/4 - -4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*d**4 - 91383*d**3*l - 28*l + 1773 wrt d.\nAnswer: 16*d**3 - 274149*d**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*v**3 - v**3 - 3*v**3)*(-1735*v - 128*v - 1266*v) in the form u*v**4 + o + s*v + i*v**3 + a*v**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23 = 4*o + 39 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1191912 and -142?\nAnswer: 16.9251504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 14*g = -34. Put 1\/33, g, 0.2 in increasing order.\nAnswer: g, 1\/33, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*c**5\/9 + 25840*c**4\/9 + 1492190*c**3\/9 + 2545240*c**2\/9 - 18468712*c\/9 + 14405440\/9 = 0. Calculate c.\nAnswer: -12862, -56, -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 167\/880590 and 32\/67965.\nAnswer: 20253570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00322441 to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 8.8324 to 2 dps.\nAnswer: 8.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 150343535 (base 6) in base 15?\nAnswer: 41613e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10 - 9. Let y be 30\/(-24)*(5 - j). Let h(m) be the first derivative of -m**3\/3 - 3*m**2 + 7*m - 35. What is h(y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22.23133 millennia in years?\nAnswer: 22231.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -j - j + r, 3 = r. Suppose j = n + 4. Suppose 0 = -7*d + 5*d - 2*z + n, 3*z = -d + 2. Solve 0 = -0*o - d*o + 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, o: 2, w: 4, v: 2}. Give prob of picking 2 o and 1 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1786*d*y - 1902*d - 429578*y + 7 wrt d?\nAnswer: 1786*y - 1902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -48d5 - 8978?\nAnswer: -d35d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the second derivative of -m**5\/4 + m**4\/3 - m**2 + 2*m - 65. Let u(f) = -26*f**3 + 21*f**2 - f - 11. What is 2*u(v) - 11*x(v)?\nAnswer: 3*v**3 - 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is dcc1 - 11?\nAnswer: dcb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -201532, -402963, -604394, -805825, -1007256, -1208687?\nAnswer: -1410118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 157*l + 10*l + 505*l + 66*l.\nAnswer: 738*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jak when three letters picked without replacement from jahjhojhjjokhhjjjj?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 13\/(-4) + (-23)\/(-92). Let k be q\/(-1 + 0) + 1. Suppose k*r + 344 = 2*r. Round r to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -180 = 6*j - 10*j. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 2 = 5*j + 15, 4*j - 31 = -3*n. Let c = n - 5. Let o = -0.03 + 0.33. Sort c, -2\/13, o in descending order.\nAnswer: c, o, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1931953938 and -2.\nAnswer: 3863907876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence smm when three letters picked without replacement from {m: 5, s: 1, q: 3, k: 3, t: 1}?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 20291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*y**5 - 2800*y**4 + 178985*y**3 + 411510*y**2 - 2770200*y = 0. Calculate y.\nAnswer: -5, 0, 3, 76, 486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 4*b**3 + 5*b**2 + 8*b + 2. Let h(w) = -12*w**3 - 16*w**2 - 24*w - 6. What is -7*f(r) - 2*h(r)?\nAnswer: -4*r**3 - 3*r**2 - 8*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xkxxxmmxxxyxxzzxxmxx. What is prob of picking 1 y and 3 m?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*b + 21 - 2*b + 2*b + 0*b.\nAnswer: -3*b + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1242\/(-1863)*(-1)\/(-24)\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes before 2:28 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2297, 0.2, 8.1.\nAnswer: 0.2, 8.1, 2297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (9\/6)\/((-78)\/(-260)). Suppose 8*v - 5*v + q*j - 10219 = 0, -3*v + 4*j = -10174. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2402)\/(-2052))\/(506\/(-1518)) - (-70)\/20.\nAnswer: -2\/171","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 368 a factor of 2556864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1009187819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the third derivative of -14967*o**5\/20 + 5*o**4\/24 - 2*o**3\/3 - o**2 + 12. Let b be a(1). What is b rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1759 (base 10) to base 6.\nAnswer: -12051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 16\/(-6)*6\/(-2). Let z = -4921 - -4930. Solve -z*p = -r*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -29 - u**3 + 1 + 6*u - 27*u**2 + 32*u**2 + 5*u. Let n be g(6). Solve 2 = -2*b + n for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4877*r + 4899*r + 4890*r - 14638*r.\nAnswer: 28*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-38)\/(-8)*(4 + 0 - 0). Solve 3*d = 3*f + 21, 0 = -d + f + 3*f + i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v**2. Let k(m) be the first derivative of m**2 - 8. Determine j(k(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + 1938\/285*5\/(-6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 29 - -92. Let z = 102 - 58. Suppose z = n + 3*n. Calculate the highest common factor of y and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -65*q. Let t(r) = -33*r**2. What is f(t(v))?\nAnswer: 2145*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j**2 + 6*j + 83. Let r be 1\/((-3)\/(-5) - (-510)\/(-975)). Let l be o(r). Let d(m) = m**3 + 7*m**2 - 10*m + 2. Determine d(l).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3051\/4 - -763. Let i = 0.01 - 0. Which is the second smallest value?  (a) i  (b) -2  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 441147\/16 and 27572 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -10*o**2 + o. Let y(s) be the third derivative of -1\/60*s**5 + 13*s**2 + 0*s**3 + 0*s + 0 + 0*s**4. Let q(u) = -b(u) - 6*y(u). What is q(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*l - 2*l**2 - 2*l**2 - 115*l**3 - 64*l**3 + 3*l**2 + 73*l**3 to b*l + p*l**2 + r*l**3 + w and give r.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the second derivative of -f**3\/3 - 5*f. Let h(d) = -d. Give h(g(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 165426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 499 - 543 = -4*x, -2*x - 2*t = -524. Let o = x - 177. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**2 + 4*d - 12. Let n(v) = -v + 1. Calculate -c(p) - 2*n(p).\nAnswer: p**2 - 2*p + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 5*k - 8. Suppose -t + 3*b = 8*b - 19, -2*t + b + 16 = 0. Let q(w) = -t*w**k + 40 - 40. Determine q(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n = -3*k + 17, -137*n = -133*n - 6*k + 20 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(-14) + (-19)\/(-42). Let u = -0.2 - -0.7. Put u, j, -0.5 in decreasing order.\nAnswer: u, j, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19.272 rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 265 is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**9\/b)**(-38) assuming b is positive.\nAnswer: b**(-304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/6 and 41\/336592?\nAnswer: 1009776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.15539 and 78?\nAnswer: 78.15539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 16543819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 925 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**3 - w**2 + 1. Let l(x) = -23*x - 134. What is the least common multiple of d(0) and l(-10)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - -11) + (-6869 - -6769)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in 0.0355063, 0.2, 3?\nAnswer: 0.0355063","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3590214832?\nAnswer: 2, 67, 983, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-49*f - 4*f - 101*f)*(f - 2*f**2 - f) - 4*f**3 + 5*f**3 + f**3 + (2*f - 3*f + 0*f)*(f**2 - 3*f**2 + 3*f**2) - 2*f**3 - 2*f + 2*f.\nAnswer: 307*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49028 is divided by 44.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the third derivative of -l**6\/120 + l**5\/60 - l**4\/24 + l**3\/6 + l**2. What is z(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1056028084?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**3 - 6*y**2 + 19*y + 27. Let j be u(-8). Let v(x) be the second derivative of -1\/6*x**4 + 1\/2*x**2 - 1\/3*x**3 - j*x + 0. Determine v(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*h = 26*h - 1147. Calculate the remainder when 896 is divided by h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**3 + 3*a**2 + 4*a - 3. Let p(l) = l**3 + 9*l**2 + 11*l + 2. Let x = -60 - -54. Let n be p(x). Suppose 4*h = -32 + n. Give g(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that 5*g**4 - 1138*g**3 + 14769*g**2 - 46340*g - 20972 = 0.\nAnswer: -2\/5, 7, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-22 - -23) + (0 - (0 + 2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -358 + 187. Let c = -28 - m. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.0766524 - 0.0768. Round w to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -711 = 5*k - 4*a, -3*k + a + 287 = -5*k. Let u be 4\/(-22) + (-572026)\/k. Suppose -u = -37*z + 32*z. What is z rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-1 + sqrt(1728))**2 + (sqrt(27) - (-1 + sqrt(27) + 1))*-3 + 1.\nAnswer: -48*sqrt(3) + 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-39)\/(-9) - 4\/(-6). Let n = -1 + v. Let a(z) = 3*z + 17. What is the remainder when n is divided by a(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/(-5) + 14\/5. Let p(w) be the third derivative of 0 + 1\/6*w**i - 1\/30*w**5 + 0*w**4 + 0*w - 6*w**2. Differentiate p(c) with respect to c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -73 - 6*u**3 - 58 + 135 - 3*u**4 - 3*u to x + s*u**3 + o*u**2 + m*u + c*u**4 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2) + sqrt(2) + -2 + sqrt(2))*-1)**2 + 4.\nAnswer: -12*sqrt(2) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 32\/28*(-64)\/11520*-45\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.5 in -1, -1.15, -327\/4, -0.232?\nAnswer: -0.232","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wrrwwwwwrrw. What is prob of picking 3 r?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -19 - 361*k + 722*k + 39 - 16 as n*k + u and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-three quarters of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 11, m: 5}. Give prob of picking 3 m.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.7 - -3.7. Which is the third smallest value?  (a) 2\/5  (b) -3  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 370561 is divided by 9743.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 236, 492, 748, 1004, 1260, 1516?\nAnswer: 1772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 40.59534l?\nAnswer: 40595.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes before 6:42 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j + 1. Let k = 11 + -6. Suppose -5*i - 35 = -5*t, k*t + 21 = -6*i + 3*i. List the prime factors of u(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -180, -203, -264, -381, -572?\n\"Answer: -3*p**3 - p**2 + p - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkmk when four letters picked without replacement from mkmkkmkmkm?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:48 PM and 2:10 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 948689203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 2*u + 2442 = 0. Is u a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1440, 2737, 4034, 5331, 6628, 7925?\n\"Answer: 1297*a + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*q**3 + 42*q**2 + 45*q.\nAnswer: -3*q*(q - 15)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -167115 (base 8) in base 3?\nAnswer: -10002200110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00008761886 to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 32850 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 2561*s - 107442. Give q(42).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.09 - 0.09. Which is the nearest to -0.1?  (a) 1\/11  (b) -2  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 84 - 23. Find the third derivative of 39*q**2 - 110*q**4 + 5*q**5 + 52*q**4 + v*q**4 wrt q.\nAnswer: 300*q**2 + 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a**3 - 18*a**2 - 71*a + 46. Determine u(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 21*d**2\/5 - 351*d\/5 - 102\/5.\nAnswer: 3*(d - 17)*(7*d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -18850*j**2 - 2*j - 15. Let n(a) = -10*a - 3. Calculate n(g(s)).\nAnswer: 188500*s**2 + 20*s + 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 432 (base 7) to base 12.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -167?  (a) -3  (b) 3\/10  (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -5*x**2. Suppose -2*y - 2 = h - 4, 2 = 5*y + h. Suppose 4*i + 4 = -4*v, y = 2*v + i - 3*i - 10. Let b(u) = 2*u**2 - u**v - 3*u**2. Give d(b(q)).\nAnswer: -20*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 16931875 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3332 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z + 25 = -7*i + 12*i, 0 = -2*z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 594392048 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4.1 - -4. Suppose -x + 7 = 4*v, -5*x + v + 31 = 17. Let b be 1 - ((-12)\/(-21) - 0). What is the closest to -1 in x, y, b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the first derivative of 4*n**3\/3 - 156*n**2 - 8316*n + 5898. Factor l(p).\nAnswer: 4*(p - 99)*(p + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/((-15)\/(-6) - 3). Let n = 1 - 4. Let s be (2\/r)\/(n\/30). Let l(q) = q**2 + 4*q - 1. Calculate l(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve t + 51 = -20*m, 92*m - 96*m + t - 21 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-15)\/(-9) - 2)\/(1\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -19937\/8 - -2500. Let q be (-188*1\/(-2))\/((-128)\/(-400)). Let l = -281 + q. What is the common denominator of b and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, -3\/7, -0.12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert a3 (base 14) to base 8.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wwaa when four letters picked without replacement from whaaahwaa.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 120*x**2 + 262*x**2 - 696*x**2.\nAnswer: -314*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 16*f**3*p + 19*f*p + 689*p wrt f?\nAnswer: 48*f**2*p + 19*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in -10, -20, -0.6, 1, -1\/6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -82\/11  (b) -0.74  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -59977, -119956, -179935, -239914, -299893, -359872?\n\"Answer: -59979*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0 and -36000663?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1502*m + 11984 = 258*m - 22848 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15776179?\nAnswer: 31, 508909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -412 divided by 2.\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p + 2*u + 10, -486*p = -482*p + 4*u + 4. Let n(w) = 4*w**3 + 7*w**2 - w + 5. Let d(v) = v**3 + v**2 + 1. Let x(g) = 3*d(g) - n(g). Determine x(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -38979.069 + 38952. What is z rounded to 1 decimal place?\nAnswer: -27.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 227*-5828\nAnswer: -1322956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -94312.81 rounded to the nearest 1000?\nAnswer: -94000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (4 - 17 - (4 + -9 - -5)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -741+-27833202331\nAnswer: -27833203072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 - c00658?\nAnswer: -c0065d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 3*i**2 - 2*i + 1. Let g be y(1). Suppose -q + 5 = 5*r + g*q, 3 = 3*r + q. Suppose -r = -o + 2*o. Is -2\/5 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 30 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g - 8. Let j be d(-7). Let h be ((-4)\/2 + -1)\/j. Solve 3*p - 21 = h*l, -5*l = p + 7 + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -109 - 22*t**2 + 109 + (5*t**2 - 4*t**2 + t**2)*(-3 + 0 + 4) to the form g*t + w*t**2 + c and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -2*m - 3*n, 2*m - 7*n + 5*n = 3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*a = -13*a + 5. Is a greater than -0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 17*x - 18*x + 12*x - 108. What is the smallest common multiple of 10 and l(13)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -115.4 - -115. What is the second biggest value in 120, -2\/13, y?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/42 and 61\/9012.\nAnswer: 63084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -31 + 2*z + 5*z - 5*z + (-4 + 0 + 5)*(5 + z - 5) to o*z + i and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -43 (base 8) to base 5.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/1232 and 3\/(9\/39) + 327558\/(-19404)?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -724\/3 + 241. Let k = -10 - -9.83. Let x = k - 0.03. Which is the nearest to 2\/3?  (a) n  (b) x  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3.4 in 11, -5, 2, 5, 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(6 + 203\/(-35))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/1241 and -119\/10.\nAnswer: 12410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/102)\/(5280\/(-3168)).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.037, -3\/4, -4, 3, 2 in increasing order.\nAnswer: -4, -3\/4, 0.037, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*d - 1 = -42*d - 4*b, 0 = -3*d - 5*b - 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + sqrt(539)*-1)*-6*5)**2.\nAnswer: 50400*sqrt(11) + 499500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -2c44c1 (base 15) to base 10\nAnswer: -2140831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*w**2 - 4*w**2 - 10*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**2 - 13*n - 1. Let o be x(-3). Let k = o - 21. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/5*s**3 + 18\/5*s**2 - 52\/5*s + 48\/5.\nAnswer: -2*(s - 4)*(s - 3)*(s - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*f**4 - 4 + 4*f**4 + 10 + 2*f**3 - 2*f as p*f**2 + v*f + n*f**4 + s + x*f**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9.32 + -0.32. Sort -0.3, -5, l in decreasing order.\nAnswer: l, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((sqrt(1400) - (sqrt(1400) + sqrt(1400)*-2 - sqrt(1400)) - sqrt(1400))*2)\/(sqrt(49)\/(5*sqrt(175))).\nAnswer: -3 + 1000*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5196, -5, 115, 3\/4, 0.5 in decreasing order.\nAnswer: 115, 3\/4, 0.5, -5, -5196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 6*f**2 + 20*f + 14. Is n(-10) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.013453 and 1.172 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 - -11 - (-2 + 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -20\/3, 2712, 1, -1 in increasing order.\nAnswer: -20\/3, -1, 1, 2712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -31.5 - -32. Which is the biggest value?  (a) s  (b) 5  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 162 = -2. Let c = 50 + n. Let o be 3212\/c*(-1 - 4). What is o rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/(1 - -1) - 3. Let p be 18\/2*m\/(-3). Suppose -p*w + h + 59 = 0, -5*w + 34 = -2*w + 4*h. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 387.9467 - -0.0533. Let y = 387 - s. Let z = 0.25 - -0.05. Do z and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13125 is divided by 13084.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -27 + -5 + 6 - -25?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 4.92858mm?\nAnswer: 0.00000492858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the third derivative of -29*i**7\/105 - i**5\/60 + 9*i**3\/2 + 2*i**2 - 26. Find the third derivative of r(x) wrt x.\nAnswer: -1392*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4239848 is divided by 528.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**8\/k**(2\/7)*((k*k\/((k\/(k*k\/k**(-1)*k))\/k)*k)\/k)**21)**(17\/5) assuming k is positive.\nAnswer: k**(15912\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 2*d**3 - 71*d**2 + 13*d + 437. Give l(35).\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 25515136 to the nearest integer?\nAnswer: 5051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 + 1121?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, r: 2, t: 1, p: 1, v: 1, n: 1}. Give prob of sequence bnt.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ubunnburnnnznr. What is prob of picking 1 n and 1 b?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - t**2 - 2)*(-17*t - 24*t + 11*t) to r*t**3 + a*t**2 + w + c*t and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 12 = -7*c. Suppose -y - 177 = -5*m, -c*y + 2*y + 171 = 5*m. Let v(l) = 3*l**2 - l + 2. What is the remainder when m is divided by v(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*o**5 - 140*o**4 + 303*o.\nAnswer: -40*o**3 - 1680*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**3\/3 - 287*h**2\/3 - 19856*h\/3 + 106580\/3.\nAnswer: -(h - 5)*(h + 146)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes before 2:08 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1\/2)\/(4\/40). Suppose z = -0 + d. Suppose -4*q + z*x = -55, 0*q + 15 = q - x. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((72\/(-3360))\/(12\/(-8)))\/(4\/(-10))\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -78.92 - -79. What is the nearest to -1\/4 in 4, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ccpc. What is prob of sequence ccc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = 384*b - 381*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 0, -44, -2, -330, 103, -3 in decreasing order.\nAnswer: 103, 2, 0, -2, -3, -44, -330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 50204356?\nAnswer: 2, 53, 236813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -6*y, 3*o + 5*y - 12 = 0. Suppose 2795 = o*n - 5817. Is n 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 10:13 PM and 9:15 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1333984 and 4?\nAnswer: 1333984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2*sqrt(77) + sqrt(77) - sqrt(77)) + sqrt(77) - sqrt(77))*-4)\/(3*sqrt(7)*-1 - sqrt(7)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 17703632221504068.99999732 + -17703633151493242. Let j = -929989299 - w. Let n = j + 126. What is n rounded to seven dps?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 29 = v, 2*v - 57 = 3*v + 5*i. Let a = v + 77. Let q be ((-16)\/4)\/(2\/(-5)). Calculate the greatest common factor of q and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {k: 1, q: 2, t: 2, y: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (3018\/(-24))\/(((-5)\/(-4))\/5). What are the prime factors of ((-1)\/1)\/(-8 - 4023\/l)?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -9*c + 19. Let x(u) = u - 2. Let q(l) = -j(l) - 7*x(l). Let w(s) = -6*s + 14. Let h(f) = f**2 - 9*f + 17. Let p be h(7). Give p*w(n) + 8*q(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 199436651?\nAnswer: 47, 1181, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 42\/((-18)\/(-6)) + 6. Calculate the highest common divisor of f and 652.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 164 divide 1049272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 397 - 357.88. Let a = i + -49.4. Let v = -10 - a. Round v to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 3*m = 48. Suppose 3*j + m - 120 = 0. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the second derivative of -w**3\/6 - 5*w**2\/2 - 1735*w. What is o(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-14 - -11) + (0 - 0). Put -6, f, -0.2, 3 in descending order.\nAnswer: 3, -0.2, f, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 351734167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -s**2*y**2 + s**2*y - 80970*s*y**2 - 2*y**2 - 49159*y + 4 wrt s.\nAnswer: -2*s*y**2 + 2*s*y - 80970*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -2 + -1 + -15 + 26.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*f + 7*f + r, -40*f - 3*r = -44*f - r for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -90207 = -23167*n + 23157*n + 388853. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-12)\/(-28) - (-4)\/7)*90. Suppose 2*u - 5 = -15, -4*u = -4*j + 188. Let y be j\/70*(30 + 1 + -1). What is the highest common divisor of q and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1016, 3, -2, -733 in descending order.\nAnswer: 1016, 3, -2, -733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -3*o**3 + 8*o**2 + 12*o - 26. Let z(y) = y**3 - 3*y**2 - 4*y + 9. Let p(x) = -6*j(x) - 17*z(x). Let i be p(-4). Solve -i*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 3324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 4*l - 0*l. Put l, 1, 2 in increasing order.\nAnswer: l, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.093459*-4\nAnswer: 0.373836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 385, -55, -2\/1749?\nAnswer: 385","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2810500 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xcxx?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1222 + 1278. Solve -54*l + f*l = -6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -104 + 102 = 2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 91767 to the power of 1\/2, to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -311*i - 88. What is k(-1)?\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 52 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2420192399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00030304 rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 346*l**2 - 2*l + 325.\nAnswer: 692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7248 is divided by 611.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-162)\/21)\/(6\/1036*37)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -32576, 110\/3, -2 in decreasing order.\nAnswer: 110\/3, -2, -32576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q - 4*l - 27 = -48, 7*l - 48 = -5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 167*p**2 + 169*p**2 - 335*p**2 - 175*p - 223*p.\nAnswer: p**2 - 398*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 8 - (2220\/(-396) - 4\/3)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkkkqkqkkkkqkk. What is prob of sequence qkk?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 359 and 36420191.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**3 + 9*s**2 + 6*s - 7. Let w(h) = h**3 - 6*h**2 - 9*h + 6. Let q be w(7). Calculate the remainder when 24 is divided by m(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -32*t**2 + 27. Calculate m(3).\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 10*z. Let v(g) be the first derivative of -g**3\/3 - 2. Calculate o(v(d)).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -471562 or -471628?\nAnswer: -471628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 472025 and 84925?\nAnswer: 1975","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7492301 and 10263?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(0 + sqrt(192)\/sqrt(16)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 215152 is divided by 2363.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (-1 + -2) - 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 165 is divided by (-1)\/(2*2\/(-112))?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 20 = -10. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 15*j**2 - 17*j. Let x(i) = 8*i**2 - 9*i. Let s(o) = 3*g(o) - 5*x(o). Find the second derivative of s(a) wrt a.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*p**2*w + 263*p**2 - p*w - 306*w wrt p.\nAnswer: -4*p*w + 526*p - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 193 - (-7 + (-3 - -6)). Let q = -182 + b. What is the greatest common factor of q and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:10 PM and 9:51 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 63 = -19. Suppose -3*c = -19 - l. Solve 2*b + 7*w = 2*w + c, 2*b = 5*w - 29 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 8480816, -6.\nAnswer: -6, -4, 8480816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 + 14. List the prime factors of (-8)\/(-44) - (-1560)\/l.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**3 - 2*g**2 - 5*g - 2. Let d be q(4). Let n = 5 - d. Which is smaller: n or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -106 or -45.3401?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18, 13, -10, -63, -158, -307?\nAnswer: -522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18638, -37286, -55934, -74582?\nAnswer: -93230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -74484, -149268, -224042, -298806?\n\"Answer: 5*l**2 - 74799*l + 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13591 - 29201 = -38*r + 32*r. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.77 - 0.8. Let t = -3.685007 + 3.655. Let o = t - u. What is o rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the second derivative of 7*c**4\/6 + c. Let n(z) be the third derivative of -z**4\/12 - 23*z**2 - 5. Determine d(n(p)).\nAnswer: 56*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**3 + k - 1. Suppose -5*p + 2*p = -9. Suppose p*n - 10 = -4*d, 5*d - d - 2 = n. What is q(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 22*u. Let m be (-39)\/(-21) + (-9)\/(-63). Let i(c) = -c**2 + c. Let l(t) = 16*t**2 - 18*t. Let p(v) = m*l(v) + 36*i(v). What is p(k(q))?\nAnswer: -1936*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 189725 is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 3 + a - 1 + 2. Let t(z) = 5*z - 48. Let s be t(10). Suppose 0 = s*m - 37 + 29. Determine c(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -18*j**2 + 377*j - 3907. Calculate p(10).\nAnswer: -1937","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.09 plus 5628?\nAnswer: 5627.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-222)\/(-5) + 2\/(-5). Suppose -4*k + 108 = b, 5*k - 2*b = 3*k + y. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2628006?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o + 1231 = -4*f + 1191, -5*o + 4*f - 68 = 0 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1*3\/(-6)*-20. Let p be -7*q\/4*-10. What is the greatest common divisor of 14 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -442 + 442 - 3*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*a - 5*q - 17 = 0, q + 13 = -71*a + 67*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -307479*l**4 - 8*l**2 - 483288*l?\nAnswer: -3689748*l**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 + -2509.\nAnswer: -2509.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a millennium in centuries?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 7, i: 2, a: 2}. What is prob of sequence tat?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*j**3\/7 - 800*j**2\/7 - 4800*j.\nAnswer: -4*j*(j + 60)*(j + 140)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-6)\/(-110))\/(4\/2241894855). Let n = r + -30570028. Let a = n - 5069\/4. What is the common denominator of 33\/20 and a?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/(16\/14)*-6. Let d(r) = -p*r + 1 - 1 + 23*r. Let g(u) = -5*u**2. Calculate g(d(m)).\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a**2*a)\/(a**(-1\/5)\/a))\/((a**(-5)\/a)\/(a*(a\/(a*(a\/(a**(-3\/8)\/a*a))\/a))\/a*a)))\/((a\/a**5*a**5*a*a)\/(a\/(a*a**(-2\/3)))**49) assuming a is positive.\nAnswer: a**(4859\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -138*n**2 + 72*n**2 + 63*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -44201*f + 44223*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36 divided by -202788.\nAnswer: -1\/5633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -366, -734, -1102, -1470, -1838, -2206?\nAnswer: -2574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j - 2. Let x be z(5). Suppose x = 5*t + m, -5*t - 5*m - 5 = -0*t. Which is greater: 2 or t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((6\/(-2))\/42)\/((-24)\/84).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28 - 14 = -7*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -2*t**2 + 25*t + 12. Let k(y) = -y**2 + 23*y + 13. Let l(s) = 2*c(s) - 3*k(s). Let a be l(-18). Solve 4*o - 10 = 5*f - o, 2*f + 5 = a*o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 37 - 36.43. Let k = -0.37 + i. Which is the closest to 0?  (a) k  (b) -2  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-92945)\/(-55) + (-42)\/22 + 2.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 2*s = -20, 4*o + 20 = 6*o - 3*s. Let q be (4*4)\/(o\/2). Let m be 1\/(-5*4\/q). Which is the second smallest value?  (a) -4  (b) 0.03  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-6)\/1)\/(16\/(-32)). Suppose -3*a - 2*n = -826, -8*a + 5*n - 1113 = -c*a. List the prime factors of a.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 1680513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/6 < 399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the third derivative of -v**7\/15120 - v**6\/2160 - v**4\/24 + 2*v**2. Let a(u) be the second derivative of o(u). Suppose a(f) = 0. What is f?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i - 16 = -20*l + 22*l, 5*l - 2*i + 2 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(-12)*-4 + (-38)\/(-30). Put -5, -2\/29, g, 2\/9 in ascending order.\nAnswer: -5, -2\/29, 2\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6\/7099 or 0?\nAnswer: -6\/7099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the second derivative of j**4\/24 - j**3\/12 - 3*j**2 - 2*j + 10. Find x, given that l(x) = 0.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 8, 10, 12, 14, 16?\n\"Answer: 2*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (441\/98)\/(663\/34)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 18 and 216.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*c + 4*c - 30. Suppose -h = h - 20. Let d = h - 10. Put c, 2, d in increasing order.\nAnswer: c, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -486, -491, -496, -501, -506?\n\"Answer: -5*r - 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2 + (-10)\/(-25) + 76\/10. Let s be (-115)\/10 - (-1)\/(-2). What is the smallest common multiple of 6 and 64\/h - (-8)\/s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*t**4 - 42*t**2 - 462*t - 2?\nAnswer: -48*t**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1912 * 0.266526.\nAnswer: -0.0509597712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {g: 6, v: 1, m: 3, d: 1, e: 2}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -20*r. Let m(t) = -435960*t**2 - 11. Calculate w(m(j)).\nAnswer: 8719200*j**2 + 220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 92272617 to the power of 1\/3, to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -40 + 43. Let s be 2*(-1)\/(-3)*-9. Let u(r) = -r**2 - 7*r - 9. Let q be u(s). Put -1, q, g in decreasing order.\nAnswer: g, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8*(-54)\/120*5?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -62, -2, 48.\nAnswer: -62, -6, -2, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -9, 8\/7, -0.004 in decreasing order.\nAnswer: 4, 8\/7, -0.004, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 69.58531km to micrometers.\nAnswer: 69585310000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 359.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z**3 + 7*z**2 - z - 7. Let r be t(-7). Let g be r\/(-3) - (-4 + 4). Suppose 4*i - i = g. Is i at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 86060 is divided by 66?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 246 minutes before 5:42 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes before 4:20 PM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -14*n**2 - 11*n. Let o(w) = -8*w**2 - 6*w. Let x(m) = 5*o(m) - 3*y(m). Suppose 5*v - 2*j = -5*j - 6, 3 = -3*v - 2*j. Calculate x(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -6*z - 142. Let s be f(-32). Suppose -s*v + 55*v = 45. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*a - 2204 = -20*a. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-1\/6)*q*q**(-4)\/q)**(-47) assuming q is positive.\nAnswer: q**(1175\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dj when two letters picked without replacement from {d: 2, j: 9, b: 5}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.2 less than -185078.9117?\nAnswer: -185087.1117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2578795*m**2*u**3 - 1556175*m**2*u + 9*m*u + 4*u**3 wrt u.\nAnswer: 15472770*m**2*u + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 1 + 3 - (-7 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) -0.105  (b) 12  (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 - 121133022?\nAnswer: -121133014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 45*z**3 - 47*z**3 - 9*z + 8*z + 388*z**2 in the form o*z + y*z**2 + q*z**3 + j and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.219 to 2 dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:41 PM and 6:56 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -21 - (-35 - 4 - 12)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 18*a + 56. Suppose -5*c - 25 = 5*t, -4 = 4*t - 12*c + 8*c. Let w be z(t). Solve d - w = -4*y, -4 = 2*d - 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3138, -3156, -3202, -3288, -3426, -3628, -3906?\nAnswer: -4272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 290 and 11745?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 * 23.6\nAnswer: 7.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (77 + 8*s - 77)*(0 + 0 - s) - s**2 - 3 + 3 to l*s**2 + c*s + f and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -17 + 19. Suppose -h*k + 7 = b, 5*k = -3*b + 7 + 13. Solve z = 2*d - 10, -b*d - 5*z + 11 = 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1296, 1306, 1320, 1338, 1360?\n\"Answer: 2*p**2 + 4*p + 1290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the second derivative of -7*j**3\/3 + 3*j**2\/2 - 64*j. Let i(u) = -24*u. Let x(k) = 7*k. Let z(m) = -3*i(m) - 10*x(m). What is z(p(c))?\nAnswer: -28*c + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/((-45)\/275)*330\/19965?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 847282 is divided by 111.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -2723 divided by 5?\nAnswer: -2723\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -7*a**2 + 14*a - a**3 - 13*a + 8*a + 11. Let c(h) = 2*h - 8. Let j be c(0). Let v be l(j). Solve 2*b + 6 = -n - 0*n, 0 = -v*b + 2*n - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3 + 11)*(16*z**3 - 9*z**3 + 9*z**3)*(3*z + z - 6*z)*(4*z + 0*z - 6*z).\nAnswer: 448*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 38 and 319103290?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10852 - 10848. Which is the closest to -71?  (a) q  (b) -30  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(5) + -1 - (0 + sqrt(245))**2.\nAnswer: -249 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -16*h**3 + 10*h**3 - 5*h**3 + (-3 + 3 + 3*h**3)*(4 - 1 - 2) + (2*h**2 - 2*h**2 + h**2)*(-3*h + 0*h + 2*h) as z + j*h**2 + b*h**3 + y*h and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 5018711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 a factor of 51262848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 19 - 3*y - 2 + 5*y - 3*y. Let x be t(15). Let h be x + (-8)\/4 - -2. Solve 4 = -g + h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 321558966 to the power of 1\/3, to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 plus -4962067836741?\nAnswer: -4962067836741.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.37 - -0.03. Let y be (-18)\/12*16\/10. Let j = -63\/20 - y. Put j, 0, i in decreasing order.\nAnswer: i, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 347 + 2 = -5*j, 4*j - 253 = 3*u. Let d = j + -36. Let q(a) = 27*a + 9. Let m be q(10). Calculate the greatest common divisor of m and d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**2 + 6*q - 4. Let h be s(8). Let u = 36 + h. Suppose -2*b = 10 - 298. Calculate the highest common divisor of u and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 442272 and 153.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 181410, 181308, 181036, 180510, 179646, 178360, 176568, 174186?\nAnswer: 171130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 14.8137444us?\nAnswer: 0.000000000171455375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m + 15 = 5*z, -8*m - 15 = -5*z - 6*m for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (0 - -2) + -2 + 1 + 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 331, 336, 353, 388, 447, 536, 661?\nAnswer: 828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**1)**(1\/7)\/(t**(-7)*(t\/((t*t\/(t*t*t**(-4\/9)*t))\/t))\/t)*(t**0)**(3\/34)\/(t**(1\/4)\/(t\/(t\/(t\/t**0)))) assuming t is positive.\nAnswer: t**(1597\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -10420011 (base 5) to base 8\nAnswer: -263351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from qxooqxqqo.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d**2\/2 + 354*d - 29097\/2 = 0. Calculate d.\nAnswer: 53, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 - -152?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*x + 1208 = -18*x. Suppose 0 = -x*v + 156*v - 2775. What are the prime factors of v?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3 + -4)*(-8)\/2. Let z = -295734.6 + 295734. What is the closest to 2 in p, 0.4, z, -1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 305881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 7*s**2 + 7*s + 5. Let w(r) = -15*r**2 - 15*r - 11. Let m(j) = 13*f(j) + 6*w(j). Give m(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.004 and 3.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c - c - c)*(4 + 0 - 2)*(3 + 1 + 0) + (-1 - 2 + 1)*(-2*c + 5*c - 5*c) + 2*c - 5*c + c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in 15, -4, -0.4, 231, 2\/19?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2779841.\nAnswer: 41, 67801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.24 + 0.04. Let c = 24.5 + -41. Let l = 16 + c. What is the biggest value in l, 4\/7, d?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 41692, 83409, 125150, 166927, 208752, 250637?\n\"Answer: 2*z**3 + 41703*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00012416131 to 7 decimal places.\nAnswer: -0.0001242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 6038666 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.504655 rounded to 2 dps?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the second derivative of 3\/20*k**5 + 0 + k**2 + 1\/12*k**4 + 0*k**3 + 7*k. Let v be s(2). Solve -4*r - v + 2 = 4*j, -3*j - 15 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-14)\/105 - (2 + -2). Let g = -3.1 + 0.1. Which is the nearest to g?  (a) -0.3  (b) -3  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 51.5 + -52. Let w = 23\/26 + -5\/13. Put -2.3, w, d in descending order.\nAnswer: w, d, -2.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -131*k**3*z - 3682*k**3 - 31*z**3 - 6*z**2 wrt z?\nAnswer: -131*k**3 - 93*z**2 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -40*z**5 - 9*z**4 + 1207*z wrt z.\nAnswer: -800*z**3 - 108*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 39133675?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:43 AM and 2:22 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -333900 divided by -2226?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 116787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.0338 and 2?\nAnswer: 0.0676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve j - 1 = -3*m, -1 = 8*m - 5*m - j for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.09021 + -1.10979. Which is the nearest to -4?  (a) 1\/3  (b) n  (c) -3  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -122110021 - -11?\nAnswer: -122110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 172 (base 8) in base 11?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6\/8 - 15015\/(-60).\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 - 3 + 0)*(7*u**3 + 133 - 133) + 2*u**3 - 2*u**3 - 4*u**3)*(4 - u - 4).\nAnswer: 25*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 * 480.66281.\nAnswer: 48.066281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 + 4. Let w(j) = j - 2. Does 2 divide w(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wd when two letters picked without replacement from eooeeedweeeee?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**2 - 10*r - 169. Give u(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l**4\/5 - 3012*l**3\/5 - 3014*l**2\/5 + 3012*l\/5 + 3013\/5 = 0. Calculate l.\nAnswer: -1, 1, 3013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 43, 56, 67, 76, 83?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -15, -3, 1, 3, -221, 793 in decreasing order.\nAnswer: 793, 3, 1, -3, -15, -221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1315581 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/1005 and -70\/603?\nAnswer: 3015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -807 + 1461 = -184*v + 5806. Calculate the smallest common multiple of 40 and v.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -6*(2 + (-10)\/4). Let r be 20 - (-3)\/6*0. Suppose -d - 2*j = 2*d - r, 5*j = -2*d + 28. Solve d = -k*h + 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 557, 579, 639, 755, 945?\n\"Answer: 3*g**3 + g**2 - 2*g + 555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the second derivative of 109\/2*z**2 + 0 - 15\/2*z**4 + 69*z + 0*z**3 - 1\/20*z**5. Differentiate a(c) with respect to c.\nAnswer: -3*c**2 - 180*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 884736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:36 AM and 5:31 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(17) + 2 + sqrt(17) + 0 - 5*(sqrt(17)*-5 - sqrt(17)).\nAnswer: 2 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 8) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 472952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -13886, -13832, -13778?\n\"Answer: 54*y - 13940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-16*s**2 - 15*s**2 + 17*s**2)*(-1 + 1 - 1)*(-3*s - 2*s + 2*s).\nAnswer: -42*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-3*d + d + 4*d)*(-4 + 3 - 1) - 26 + 26 + 18*d - 3*d + 5*d - 3*d)*(5 + 0 - 1) in the form f + a*d and give a.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*r = 5*r + 60. Solve -7*u + r = -12*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2 + 0 + -1)\/(-11). Suppose 0 = t + 3 - 2. Which is bigger: j or t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the third derivative of 0*l + 1\/30*l**5 - 44*l**2 + 0 + 0*l**3 + 0*l**4. Let w(z) = -4*z + 4. Determine b(w(n)).\nAnswer: 32*n**2 - 64*n + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 4*d - 20. What is the lowest common multiple of r(8) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 375899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-2)\/(i\/(i*i**(-1)*i*i)*i)*(i*i**(-10))\/i**(1\/2) assuming i is positive.\nAnswer: i**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 355464731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 9*n**3 - 3. Let x(c) = -17*c**3 + c + 6. Let m(p) = 5*i(p) + 3*x(p). Let f(k) = -11*k**3 + 5*k + 5. Give 3*f(w) - 5*m(w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.05, -2\/3, 3\/7, -34.7, 2\/23?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 8 - 2)*(0*i - 16*i**2 + 37*i**2 + 0*i).\nAnswer: 231*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -329 + 327 - f**2 + 19868*f + 2*f**3 + 4*f**4 - 19866*f in the form s*f**3 + x*f**2 + w*f + a*f**4 + m and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes after 1:14 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 341*k**2 + 12*k - 4. Is d(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the first derivative of -5\/2*g**2 + 10*g + 16. Let a(t) = -t**2 - t - 1. Let j(u) = 15*a(u) + i(u). Factor j(s).\nAnswer: -5*(s + 1)*(3*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -75617.8 + -74.6?\nAnswer: -75692.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -11 - -14. Solve 0 = -t - o*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1301022 (base 6) in base 5?\nAnswer: -4221324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -7277*b**2 + 3638*b**2 + 3638*b**2. Let x(h) = 13*h - 10. Give y(x(w)).\nAnswer: -169*w**2 + 260*w - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -22022 + 21141?\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-5 + (-145455)\/240 - 2\/(-32)) + -6. Sort m, 23, 0 in increasing order.\nAnswer: m, 0, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1035\/4)\/((-174)\/(-928)). Suppose g + 4*g = -4*q + f, -g + 287 = 3*q. Is g a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 3*h**2 - 47*h + 310. Let z be g(8). Calculate the highest common factor of 224 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 6}. What is prob of picking 2 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -69, -140, -211?\n\"Answer: -71*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 26778056 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is (13 + 3 - 1)*50 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*(sqrt(190)*1 + sqrt(190)))\/((1*sqrt(110))\/sqrt(11)))**2 + 3.\nAnswer: 1903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 3, 5, -12, -17, -28 in increasing order.\nAnswer: -28, -17, -12, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 - (7\/56 + 63\/8 + -5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 60828 + -22412. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4199 - 4199.1. Put -0.2, d, 5, -178\/9 in decreasing order.\nAnswer: 5, d, -0.2, -178\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -315 + 38 = -f. Suppose 3*q - f = 98. Let y = q - 73. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.3 - 1.8. Let n = -1 - c. Let x = n - 0.5000049. Round x to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20875.\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1285818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -3*i - 3. Let h be o(-2). Suppose 0 = 2*a - 5*f - 8, -2 = h*a + 4*f - 37. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 63600392*k**4 + 4362*k - 63600392*k**4 + 599*k**3 - k**5 - k**2 wrt k?\nAnswer: -20*k**3 + 3594*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u = -f + 2, -3*f + 993190*u - 993195*u + 6 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 189740017?\nAnswer: 1069, 177493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 231417 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 + 4*u - 8*u + 6*u - 10.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = 5*v - 4*w, 0*v = 2*v + 4*w. Let n be 225\/(-27)*(12\/(-5))\/2. List the prime factors of v\/n - (2 + (-2144)\/20).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 0*n**2 + 3 + 3*n**2 - 3. Let m(y) = y**2. What is j(m(w))?\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2 - 5. Let i be z\/6 - (-18)\/4. Suppose -2*m = -i - 2. Sort 2, 1, m in decreasing order.\nAnswer: m, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -3\/8  (b) -126  (c) 0.2  (d) 1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -4*i + 3. What is the remainder when q(-5) is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l**3 - 2*l**2 - 4*l - 1. Let k be (-54)\/10 + 2 - 32\/(-80). What is u(k)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 445*s + 298 + 7267 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -88*a - 119753179819 + 119753179819.\nAnswer: -88*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6*2\/(-3)*-1. Suppose 0*u = -4*u + 16. Let n(g) = 14*g + 30. Let m be n(-2). Solve m*k - w = u for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 359\/6 + -72. Which is the third biggest value?  (a) -0.2  (b) z  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -4*r + 628 - 612, 5*y = -r + 10. Solve 15*p - 76 = -y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 991 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (104 + -45 + 21 - 45) + 94?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the first derivative of -3*v**2\/2 - 4*v - 1. Let m(d) = -8*d + 5. Let y(l) = -7*l + 3. Let f(p) = -4*m(p) + 5*y(p). Determine 4*f(c) - 5*h(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*m - 5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 85 - 88. What are the prime factors of n\/9*(3 - 2 - 154)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -5\/3 and 13\/(273\/(-14))*(-162)\/(-136).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + 7 + 0 + (-22 - -14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 5*s + 31528 = 0, 0 = -21*g + 19*g - s + 63045. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13656*5\nAnswer: 68280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20627 is divided by 19696.\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 13) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of 162615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 2*d - 8*d**2 + d**3 - 8*d**2 + 28*d**2 + 18. Give u(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1189615 is divided by 396534.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 2*m**3 - 3*m**2 + m + 1. Let r be -2*(7 + 4 - -3). Let k = r - -30. What is v(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -489*(-1 - (-1 + (-2)\/(-6)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 9034 and 117442.\nAnswer: 117442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*b**3 - 2 - 1 - b**3)*((-1 + 1 + 1)*(-4 + 4 - 1) + (-4572 - 6298 + 9065)*(-1 + 1 + 2)) as g*b**2 + j*b + u + k*b**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the first derivative of -d**4\/4 + 11*d**3\/3 + 2*d**2 + 14*d + 3. Let v be t(11). Let l = v - 34. What is the highest common factor of 16 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*y**2 - 3*y**2 - 2*y**2 as n*y**2 + m + f*y and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1226, 1285, 1382, 1517, 1690?\nAnswer: 1901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f**2 + 77*f - 64. Give j(75).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8 - -5. Let s(g) = -g**3 + 3*g**2 - 1. Let x be s(3). Let t = x - d. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 385605 is divided by 161?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 - 3 - (0 - (12 + -4 - 7)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -5*n**2 + 37*n**2 - 35*n**2. Let q(c) = 4*c**2 - 4*c. Give i(q(x)).\nAnswer: -48*x**4 + 96*x**3 - 48*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 188\/15 + -1487\/60. Calculate the common denominator of (-2)\/7*(-35868)\/(-1680) and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 80615098 to the power of 1\/2, to the nearest integer?\nAnswer: 8979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -2709*w**3 + 489*w**2 + 18. Let z(k) = -774*k**3 + 140*k**2 + 5. Let d(a) = -5*b(a) + 18*z(a). What is the third derivative of d(l) wrt l?\nAnswer: -2322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n*(n*n\/((n*n**13)\/n)*n)\/n*n*n*n)\/n)\/(n*n*n**9\/n))**(11\/3) assuming n is positive.\nAnswer: n**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17957770?\nAnswer: 2, 5, 1795777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 4235.3 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 104556 by 189.\nAnswer: 34852\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = k + 1 - 2, 0 = m - k - 5. Let a be (1104\/18 - 4)\/(m\/3). Does 22 divide 1\/((-2 - -3)\/a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1968635\/172 or -11446?\nAnswer: -1968635\/172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the third derivative of -c**6\/180 + c**4\/4 + c**3\/6 - 7*c**2. Let r(i) be the first derivative of w(i). Differentiate r(v) with respect to v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1*(-4)\/(-14) - (-309)\/(-21). Does 36 divide (3 - (-70)\/c)*3*-23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -351, -703, -1055, -1407?\nAnswer: -1759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2475 + 2474.6. What is the second biggest value in n, 0.44, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 37 + -15 + -54 + 12.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7 and 6349.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 451344 (base 7) to base 14.\nAnswer: 210cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-360)\/(-99))\/(-30 + (-6720)\/(-220)).\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:05 AM and 10:46 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 2*b**2 - 3. Let j be a(3). Suppose -g - 3*g + 20 = 0. Suppose 2*k + j = g*k. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*i + m - 6 = -2*i, -4*i = 3*m - 10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 150\/(-12)*(-924)\/(-385).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 310 + 22?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6800, -6797, -6822, -6887, -7004, -7185, -7442?\nAnswer: -7787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 11311 - 0?\nAnswer: 11311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1 + 2*q + 62*q**2 + 67*q**2 - 128*q**2 - 4.\nAnswer: (q - 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-79 - -1) + (-12 - ((7 + -5 - -11) + -18))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.002216300217 rounded to 6 decimal places?\nAnswer: -0.002216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 45, 37, 27, 15?\n\"Answer: -i**2 - 5*i + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.3 - -0.7. Suppose 0 = 5*s - 0*t - t + 38, 1 = -s - 2*t. Which is the third smallest value?  (a) v  (b) s  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 32 = -3*j. Let m(k) = -14*k + 15. Is m(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 69*x**2 - 5038*x - 1457. Calculate o(73).\nAnswer: -1530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -133\/3282 and 115\/13128?\nAnswer: 13128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-2)\/4)\/(82868\/9208 + -9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -bae3e (base 16) to base 7\nAnswer: -6335533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -35249948 divided by 292?\nAnswer: -120719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 21.31 - 21. Let n = -278 - -338.5. Let d = n - 61. What is the second biggest value in d, j, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**2 + 3*n + 4. Let x = 24 - 22. Let h = x - 5. Give l(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -14850427\/60 or -0.1?\nAnswer: -14850427\/60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of -14 and 42.1.\nAnswer: -589.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-108)\/(-378))\/(1\/(4\/(16\/7))).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = x - 13, 4*x + 0*x - 67 = 5*d. Let l = 20 - -70. Calculate the highest common divisor of l and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 101*q - 100*q + 2*n, -5*q = 2*n - 78. What is the lowest common multiple of q and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1864+221763\nAnswer: 219899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 2 = -6. Suppose -2*w - l*w = -16. Suppose w*g - 4 - 12 = 5*c, -3*g + 12 = -c. Solve i + c*i - 1 = f, f + i = -7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13 + -6. Suppose 0 = 4*h - s - 126, -5*s - f - 3 = 0. Suppose -c = -2*c + h. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 72 - (-23 + -5 + -17 + 43 + 20)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkkkkkbbbkkbs. Give prob of sequence bs.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -0.1  (b) -0.08  (c) -1\/5  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from leeeeeweleell.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*f**3 + 70*f**2 - 175*f + 110.\nAnswer: -5*(f - 11)*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*d*t**3 + 20*d*t**2 - 9*d*t + 5*d - 83014*t**3 wrt d.\nAnswer: 2*t**3 + 20*t**2 - 9*t + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 710, 1537, 2916, 4847, 7330, 10365?\n\"Answer: 276*p**2 - p + 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 31427 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence geeh when four letters picked without replacement from eeahaggggeagweegww?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -22 + 526. Suppose a = 2*f + 2*f. Suppose -5*n + f = -z - z, 3*z - 110 = -4*n. Is 13 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aya.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**(4\/5))\/((o*o**(-1))\/o)*(o**(-3\/4)*o)\/(o\/(o\/o**(-6)*o))*o**(4\/3)\/(o\/(o*o**(-6)\/o)*o)*o**(2\/7)*o*o\/(o*o**(-2\/7))*o assuming o is positive.\nAnswer: o**(1829\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 2*x**3 + 2*x - 4. Let f be r(0). What is the closest to 2\/3 in -4\/3, f, 4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 64*i*q**2*z - 28*i*q**2 - i*q*z + 4*q**2*z + 96*q*z - 1 wrt i.\nAnswer: 64*q**2*z - 28*q**2 - q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 7*b**2 + 2*b + 8. Let l(a) = a**2. Give -6*l(n) + r(n).\nAnswer: n**2 + 2*n + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(10) + sqrt(640) + sqrt(640)*1 + sqrt(640) + sqrt(640))\/(sqrt(5) - (sqrt(605)*-1 + sqrt(605) - sqrt(605) - sqrt(605))))**2*4.\nAnswer: 8712\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 + -2. Suppose 0 = -g*l - 20, p + 0*l + 16 = -5*l. Solve -n + 3*n = p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001823305 rounded to 4 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 0.4  (b) 1\/4  (c) -4\/37  (d) 0.088835\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -737 - -739. Calculate the greatest common divisor of 8 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:35 AM and 11:02 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -0*i + 18. Let f be (70\/(-28))\/(1\/i). Suppose t - f = 1. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**3 - 11*h**2 - 10*h + 3. Let y be n(-10). Let p be (y + (-34)\/10)*-5. Solve -5*a = -p*q - q + 6, a = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -379*s**2 + 2. Let b be f(3). Let l = -34117\/10 - b. What is the common denominator of l and (-835)\/180 - (-2)\/(-8)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 92\/65 - -5\/13. Let z be (10\/75 - 0) + 2. Let i = q - z. Which is the closest to -0.1?  (a) 4  (b) -10  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 14 = -4*i, -8*p - 28 = -3*p + 3*i. Let s be (4\/(-55))\/((-2)\/p). Let l = 55 + -59. Sort -3, s, l in ascending order.\nAnswer: l, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 + 1 = -z + 3*d, -7*d + 2 = 23 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -824342.129 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 3616 + 5037*d**3 - 7237 + 3621 + 3*d**3 - 2*d**3 - 3*d**3 + (-1 - 2 + 1)*(-d**3 + d**3 - 2*d**3) as z + j*d + r*d**3 + c*d**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -112012 (base 7) in base 4?\nAnswer: -10312333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) -2\/11  (b) -2\/3  (c) 2\/11  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/553 in -5, 1\/4, -7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -236*l**2 + 179*l**2 - 372*l**2 - 440*l**2 + 51*l**2.\nAnswer: -818*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*498110.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -5*y**3 + 2*y**2 + y - 1. Let a be q(-1). Suppose 9*k - 7*k + i = 436, a*i - 200 = -k. Is k a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 294.143 meters to millimeters.\nAnswer: 294143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -514035341 - 2?\nAnswer: -514035343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the second derivative of -1\/2*t**2 - 7 + 1\/6*t**3 + 15*t. Calculate z(-13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-122)\/14 - (-10)\/(-35). Let r = g + 14. Suppose 21 = r*k - 4*c, 0 = -5*k - 0*c + 2*c + 13. Is 1 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = 4*o - 2812900, -1660489 - 1152395 = -4*h - 2*o. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1 and 293.724?\nAnswer: 293.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1260, 1423, 1572, 1701, 1804, 1875, 1908?\nAnswer: 1897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -2262*g - 44. Let f(d) = d + 11. Give 4*f(s) + r(s).\nAnswer: -2258*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -15990654*g**2 + 12114327*g wrt g?\nAnswer: -31981308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -246063 (base 8) in base 12?\nAnswer: -4126b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from lvllglvluluvlllvlllu?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(1872) + 4.\nAnswer: 5 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*q = -0*q - 16. Suppose 0 = q*t + 4*t - 810. Calculate the highest common factor of t and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/96 and 57\/1744.\nAnswer: 10464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -11*z**3 + 13*z + 13. Let r(h) = -5*h**3 + 6*h + 6. Let u be (-1 - 18 - -2) + 2. Let m = -21 - u. What is m*g(i) + 13*r(i)?\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -2*n**2. Let h(z) = -99*z + 21. Let v(b) be the second derivative of 5*b**3\/3 - b**2 - 8*b. Let l(f) = 4*h(f) + 42*v(f). Determine l(d(p)).\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3 and 375.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - r + 198 = 0, -o - r + 94 = 2*r. Let i = -101 + o. Let u be (-17)\/(-2) - i\/(-2). Solve u*m = 9*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = 4*d - 60 + 46, 3*y = -5*d + 14. Let i(k) = -k**2 + 2 - 2*k**2 - 1 + 5*k**2 - k. Determine i(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4, 0.08, -1\/2, -516, -1, -0.05, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -23*f - 12. Let v be ((3 - -7) + -10)\/(f*-1). Which is smaller: v or 23\/18?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -21150734 + 49591.\nAnswer: -21101143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 5152*x - 30897. Calculate d(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one quarters of a century in months?\nAnswer: 15300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 4, -63, 3 in ascending order.\nAnswer: -63, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 268 - 120. Suppose -3*g = 6, -i + u = -2*g - g. Is i a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 2*v = 4 + 194, 3*v - 9 = 0. List the prime factors of (-150)\/(-8) - 12\/f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 4*m**2 + 577*m + 4371. What is a(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12.36 - -12. Let z = w + 0.359993. Round z to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3*2\/(-7)*-49. Suppose 4*d - 2*t + a = 0, -3*d - 4*t = -d - 4. What are the prime factors of 424\/2*(-2)\/d?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**3 - 15*s**2 + 12*s.\nAnswer: 3*s*(s - 4)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -2*a**3 - 284*a**2 + 877*a + 499. Calculate v(-145).\nAnswer: -516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, c: 2, l: 1, h: 1, k: 1, o: 1}. What is prob of picking 1 o and 2 c?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 140 = -2*j. Let s be j\/9 + 9 + -3 + -4. Let x = 47 + -187\/4. Which is the smallest value?  (a) 3\/8  (b) x  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 9, -1.9, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 2752098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 929 is divided by 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 15*d + 10. Let c be y(6). What is the greatest common divisor of c and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 60 = -13*d. Put d, 0, 30, -3 in descending order.\nAnswer: 30, 0, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4199802?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-20)\/(1\/((-2)\/584))*(18\/10)\/(-3).\nAnswer: -3\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.02587 - 0.12413. What is the third smallest value in -1, 1\/2, p, -2, 63?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -2 + (0 + 4 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24\/12*1\/(-106)*1*18\/9.\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3102 is divided by 72?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**3 - d + 20. Suppose 2*c - 6*c = 0. Let q(m) = -57*m**3 + 2*m**2 + 2*m + 1. What is the remainder when q(-1) is divided by g(c)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1482983\/91 + 16296. Let k = 3\/13 + t. Which is bigger: 1\/3 or k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7.1 - 6.6. Let s = -4 + 7. Let m = -0.1 - -0.5. What is the third smallest value in n, s, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -4*g**2. Let f(l) = -11*l + 22*l + 2*l**2 - 11*l. Determine w(f(z)).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 + -1 - 0 - -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 3*s + 0*s = 9, -3*s + 33 = -3*r. Let g be r\/(-9)*(-15)\/(-2). Suppose 3*b - g = x, -3*x - 12 = 2*x + 4*b. What is the closest to 1 in x, 1, 3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5121\/(-315) - -13 - (-14)\/35)\/((-1)\/(-14)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23806 = -4*i - 2*n, 11*i + n - 23805 = 7*i. Suppose 3*j - 10481 = 5*b + i, -2*b + 21918 = 4*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l - a + 51, 2*l + 5*a = 480 - 409. Solve -l*n - 231 = 10*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1039232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**2 - 3*h - 4. Let f be d(4). Let s be 1 - 1 - (f + 1). Let j be 7 - (s - 0 - 0). What is the highest common factor of 32 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 >= 66\/2818183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/44 and 47\/264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:36 AM and 11:03 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 433591?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide (-5 + (6 - 0))\/((-3)\/(-13341))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 120, 460, 1026, 1818, 2836?\nAnswer: 4080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 15*p + 7. Let s be 108\/(-16) + (-1)\/4. Let u be j(s). Let a = -65 - u. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 + 2 + -2 + 4. Suppose -2*x - 13 = -n - 55, a*x = n + 102. Calculate the remainder when 38 is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -68*w + 69*w - 38 - 36 to r + i*w and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sv when two letters picked without replacement from {v: 5, g: 5, c: 1, y: 3, z: 3, s: 1}.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(500) + -1 - sqrt(500))**2 + 5 - (-1 + 2*sqrt(500) + -5).\nAnswer: -20*sqrt(5) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 289761 (base 10) to base 3\nAnswer: 112201110220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**2 - 3*v - 2. Calculate d(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 54 = -14*z. Suppose -4*a + z*o = -3*a + 8, -3*o - 4 = -4*a. Let j(g) = 3*g - 12. Let x be j(a). Solve 5 = -3*s - x*b + 5*b, -3*b - 16 = 2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 8) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1519, 1480, 1409, 1300, 1147?\nAnswer: 944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.864021 rounded to 3 dps?\nAnswer: 3.864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -26 times 1269861\nAnswer: -33016386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/15*1\/357*-35?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 2*h**2 - 2986*h - 3. What is l(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*n*p**2 + 51*n*p + n + 6*p**3 - 2*p**2 + p wrt p.\nAnswer: -4*n + 36*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*t + 8*t - 4*t)*(11 + t - t**3 - 11).\nAnswer: -10*t**4 + 10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*i + 2*i - i + (3 - 3 - 2)*(3 - i - 3))*(2*i + i + i).\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-8)\/10 - 1\/5. Let c be (-35 + j)*(-2)\/4. Suppose 20 = 5*z + 5*d, -4*z = -2*d + 7*d - c. Solve -z*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r**3 - r. Let l(s) = -21*s**3 - 150*s**2 + 14*s**3 + 3*s + 70*s**2 + 79*s**2. Give 3*b(w) + l(w).\nAnswer: -10*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3810609*d**3*y**3 - 8*d**3 - 41*d**2 - 16*d - 2 wrt y.\nAnswer: -11431827*d**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 52.9 - 53. Which is greater: i or 1\/142?\nAnswer: 1\/142","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -63882, -127739, -191596, -255453, -319310?\nAnswer: -383167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -3*w + 2. Let d be z(3). Let f = d + 11. Let v(i) = -5*i. Let j(c) = -4*c. Let g(x) = -6*j(x) + 5*v(x). Calculate g(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -218152 divided by -1474.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.970665km in meters?\nAnswer: 3970.665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 2*p**3 - p**2 - 6. Let y(c) = -10*c**3 + 5*c**2 + 29. Calculate 11*l(a) + 2*y(a).\nAnswer: 2*a**3 - a**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.35  (b) 2\/5  (c) 19\/5  (d) -5  (e) 3  (f) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.024 minus 2786986605265?\nAnswer: -2786986605265.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 887 and 41629571?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/2)\/((-64)\/24)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u + 3*u - 3*u)*(-6*u - 9*u + 0*u) - 5*u**2 + 0*u**2 + 3*u**2.\nAnswer: -17*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 558 and 927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = -4*s - 392*c + 394*c, s - 5 = 3*c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the third derivative of 1\/4*u**5 + 0*u**3 + 0*u**4 + 0*u + 10*u**2 + 0. Let x(v) = -7*v**2 - 3*v**2 + 28*v**2 - 15*v**2. What is k(x(d))?\nAnswer: 135*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -223217*v**3 + 64*v + 5752.\nAnswer: -1339302*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3451 + 3465. Solve -2*n - a = z, n = -a - 2 - 7 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqubueqqqqqqbqbqqub. Give prob of sequence quq.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 58 divide 8650710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 2) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 3*v**3 + v**2 - 2*v - 1. What is g(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -4*i - 2. Let s be l(-2). Let r(m) be the second derivative of -m**3\/6 + 5*m**2 + 188*m. Let x be r(s). Solve n - 4*q + q = 5, 4 = -x*q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -219?\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1770*q - 784 = -1721*q for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*p - 8*p + 3*i = 8*i, -i = 43*p + 44 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 23066149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1865\/17 + -51013\/476. Find the common denominator of q and -61\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.014 and 15.2.\nAnswer: 0.2128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 24224157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 26 = 34. Calculate the common denominator of f and -3 + ((-4)\/10 - (-11)\/15).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**2 + 69*a + 2345. Let z be h(0). Is 2350 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 249 minutes after 2:09 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 16 + -11. Suppose -2*g - 74 = 3*h - 7*h, -5*h + 55 = a*g. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 72*s**4 - 7 + 2*s**2 + 6 - 29*s**4 in the form j*s**4 + c + u*s + o*s**2 + b*s**3 and give j.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -5*v**3 + 8*v**2 - 9*v + 41. Let h be n(8). Let a = 2972 + h. List the prime factors of a.\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2 + 1)*(-10)\/(-3). Let u be 2\/(1*(-2)\/8). Let n be (5\/o)\/((-2)\/u). Solve 0 = 3*a + n*a + 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*m**3 - m**3 - m**4 + 5*m**2 + 0*m**4 - 24*m**2 as t*m**2 + v*m**4 + b + y*m + c*m**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(-3 + sqrt(704)*-1 - sqrt(704) - (0 + sqrt(704) + 2) - (-2 + 2*sqrt(1331) + sqrt(1331))*-5))**2.\nAnswer: -67680*sqrt(11) + 3502656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 536, 535, 534, 533, 532, 531?\n\"Answer: -u + 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-12)*3 + (-150)\/4. Let c = f - -57. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 564689 and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -4c0bb (base 15) in base 12?\nAnswer: -b8888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -914 and -0.1.\nAnswer: 91.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*v + 2*v - 2*v)*(3 + 2 - 2)*(-6*v + 3*v - 2*v).\nAnswer: 30*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 10 - (-25 + 1420\/480*12)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i - 3*b = 2, i + 2*b + 2*b + 9 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5232*g*u**3 + 7*g*u**2 + g*u - 2*u**3 - 2*u + 2 wrt u.\nAnswer: 31392*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/13 not equal to -0.03666?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 101097?\nAnswer: 3, 47, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 792 and 18.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 423020?\nAnswer: 2, 5, 13, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 390 - a?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 43*u**2 + 526*u - 535. Let q(b) = -5*b**2 - 66*b + 67. Let o(r) = 6*n(r) + 51*q(r). Factor o(a).\nAnswer: 3*(a - 69)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**5\/2 - 349*n**4\/2 + 15485*n**3 - 45413*n**2 + 90133*n\/2 - 29929\/2.\nAnswer: (n - 173)**2*(n - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3005.711mg in kilograms?\nAnswer: 0.003005711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -132509*o - 24886 wrt o.\nAnswer: -132509","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 143 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1034377, 1034366, 1034355, 1034344?\n\"Answer: -11*a + 1034388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3\/5, -0.5, 1\/3, -5\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 121021102 - -2?\nAnswer: 121021111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11818 + -10147. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n + 3 + 2. Let x = -10 + 6. Is n*-4*x\/10 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -499, -487, -467, -439, -403, -359, -307?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -646, -2655, -6002, -10687?\nAnswer: -16710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 37*q + 3722. Give p(-63).\nAnswer: 1391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 919 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:54 AM and 12:46 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7 - 31. Let t = c + 38.5. Put t, -1\/4, -3\/7 in decreasing order.\nAnswer: t, -1\/4, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 216 is divided by 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 548 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2213900 rounded to the nearest ten thousand?\nAnswer: -2210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1.23?  (a) -652  (b) 4  (c) 0  (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 4252*q + 3. Let k be w(1). Let v = 42509\/10 - k. Calculate the common denominator of v and 37\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 15 + 3 - 0\/(-2). Let b = 27 - w. Let n(j) = j**3 - 8*j**2 - 9*j + 13. Let t be n(b). Calculate the highest common divisor of t and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9\/126)\/((-3)\/(-42))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-20))\/(10 - (7 + 0))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -40 + (128 - 61) - 58?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -9*j**2 + j. Let b(d) = -5*d**2 + d. What is -11*b(x) + 6*r(x)?\nAnswer: x**2 - 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 25766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**2 + 164212*p + 6741395236.\nAnswer: (p + 82106)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5*(3 - (-66)\/(-30) - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the first derivative of y**4\/4 + 12*y - 143. Determine h(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {h: 1, c: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 3 = 6. Let s(x) = u - 30*x**2 - 9 + 12*x**2. Let z(a) = -a. Calculate s(z(o)).\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 1 + 2*d**2)*(35*d - 42*d - 64*d)*(-d + 3*d - 4*d) to n*d**2 + r*d + m + o*d**3 + z*d**4 and give z.\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19583, -2, -1\/100, 0, -10 in descending order.\nAnswer: 0, -1\/100, -2, -10, -19583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4472 by 4.\nAnswer: 1118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -5*s**4 - 970*s**3 + 1955*s**2 - 980*s = 0.\nAnswer: -196, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.21451 - -0.21428961. Round c to five decimal places.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 125252 divided by -985.\nAnswer: -125252\/985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 713 - 712 = -2*y - c, 5*y + c = 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 267472 divided by 95\nAnswer: 267472\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 13  (b) -9  (c) 151  (d) -2  (e) 3.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the third derivative of -o**7\/168 - 7*o**6\/48 - 61*o**5\/48 - 35*o**4\/8 - 15*o**3\/2 + 10*o**2 + 1. Determine g so that j(g) = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1871 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 137507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(2\/(-2)*(-41)\/(-451)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25612 = -1603*z + 36 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3147747 is divided by 1125.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13755248 is divided by 327.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + x = -123, -2*x + 129 = 5*f - 5*x. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20782 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2481*m**6 + 17*m**4 - 310226*m**2.\nAnswer: -297720*m**3 + 408*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-22)\/(-6)*6\/(-3). Let y = u - -7. Which is the nearest to y?  (a) -4  (b) 0  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 divided by 737851\nAnswer: 8\/737851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 246*p - 11166 = -4524 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Total of -3.98 and -112899801.\nAnswer: -112899804.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7296966, 14593979, 21890992?\nAnswer: 29188005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:30 PM and 3:37 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 185, 2, -0.975 in descending order.\nAnswer: 185, 2, -0.975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 9537967.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -290*n = -293*n - 6*z - 36, -12*n + z - 69 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 52933126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:14 PM and 9:14 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((2 - 1)*8)\/1. Let h = -12 + x. Let w be 12\/(-15)*5\/(-2). Which is the third smallest value?  (a) w  (b) h  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 348 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2 - 2*w**3 + (1 + 2*w - 1)*(1 - 1 - 2*w**2) - 6*w**3 + 2*w**3 + w**3.\nAnswer: -9*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -530.3 + 530. Sort t, 0.5, -2\/9, -234 in descending order.\nAnswer: 0.5, -2\/9, t, -234","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 31438, 31425, 31396, 31345, 31266, 31153, 31000?\nAnswer: 30801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 19818.93 + -19819. What is the fourth biggest value in -6, -0.09, o, 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.87365813 rounded to three decimal places?\nAnswer: 0.874","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000001245 to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*x**2 - 3*x**2 + 19*x - 11*x**3 + 9*x**3 + 0*x**2 + 0*x**2 to the form j + b*x**2 + u*x + m*x**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(2\/23 - 13*(-459)\/(-37674))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 13 = -3*k + 1, 0 = -4*k - c - 11. Let x be (-4 + (810\/(-65))\/k)*1. What is the nearest to -2\/3 in -1\/3, x, 1\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -102 - 34 = 11*v - 45*v. Let d = 0 - 5. Which is the second biggest value?  (a) 3  (b) d  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 223\/4 - 56. Let h = 4874\/7 + -698. Sort j, -4\/7, h in descending order.\nAnswer: j, -4\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -439120*k = -439429*k - 15759 for k.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -44155487 minus -0.1?\nAnswer: -44155486.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3875 by 31.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -419542 - -419550. Suppose 2*o = -2*y + 8, 4*o + y - 4 = -0*o. Solve -6*t - 7*t + b*t = o for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*y - 4*y - 4*y)*(-5 + 9*y + 5) to r*y**2 + l + p*y and give r.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = 2*b + 13. Suppose p - 10 = 6*p. Let r(v) = v**2 + 5*v + 3. Let s be r(p). Let k(c) = -2*c. Let h(o) = -6*o. Give b*k(q) + s*h(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(78)*1*-6)\/((sqrt(6) - sqrt(486))*1).\nAnswer: 9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 314 at most as big as 332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -9  (b) -171  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -3*w - 0*w. Suppose -82 + w = -3*b. Let j = -11 + b. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5718908677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 811844 is divided by 115903.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**3 - 14*k**2 + k + 21. Let b be j(-14). Suppose 0 = 3*x - 12, 0 = 3*c - x - 0*x + b. Let o(a) = -6*a**2 - 2*a - 1. Determine o(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**2 + 2*g + 2. Let q be w(4). Let s(c) = c**3 + 6*c**2 + 9*c + 6. Let o be s(-7). Find the common denominator of 71\/16 and (o\/6)\/((-28)\/q).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7033324?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that -95*t**2 + 185*t + 10 = 0.\nAnswer: -1\/19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1b3 - -8a?\nAnswer: 23d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 524*t + 74. Let v be s(-26). Round v to the nearest 100.\nAnswer: -13600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 618925 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 d(y) = 72*y + 146. Let z be d(-2). Solve -w = z*p, 0 = -p + 5*w - 11 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 3*b - 4. Suppose 0 = b*w - 66 + 10. Calculate the remainder when w is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.0743633 minutes in days?\nAnswer: 0.000746085625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 21 and 3083493?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 213\/1562*(-16)\/(-36)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -5\/294 and (-13734)\/(-588)*(2 + 14\/(-6))?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7877528 + 21.\nAnswer: 7877549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30352204.\nAnswer: 2, 89, 85259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 5*w**2 - 2*w + 1. Let b be t(1). Suppose 5*l - 34 - 118 = x, -2*x = 5*l - 161. Let u = l - b. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.2*-1604342\nAnswer: -1925210.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -393 - -233. Let a be l\/(-275) - (-6)\/(-33). What is the biggest value in a, -6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s - 10. Let o be v(13). Suppose 9 = -2*z + m, -o*z = 2*m - 3*m + 15. What are the prime factors of (0 - z)\/((-6)\/(-92))?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 35 = 4*j. Let s(m) = -2*m - 9. Let n be s(j). Let q = n - -48. Calculate the highest common factor of 125 and q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 67574622877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the first derivative of 0*q**4 - 1\/45*q**5 + q**3 - 1\/540*q**6 + 9 + 0*q**2 + 0*q. Let p(h) be the third derivative of m(h). Factor p(n).\nAnswer: -2*n*(n + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11358?\nAnswer: 2, 3, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -4*m - 5, -5*d + 4*m + 25 = -0*m. Solve -d*g - 5 = -0*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2855489.02599973 + -2855489. Let w = t - 0.026. Round w to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.6?  (a) -1\/2  (b) 1\/3  (c) 1\/2  (d) -2.7  (e) 2\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*m - 31 = -150. Calculate the least common multiple of 5590\/70 + 1\/m and 64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -38\/7*n + 24\/7 - 2\/7*n**3 + 16\/7*n**2.\nAnswer: -2*(n - 4)*(n - 3)*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:03 PM and 11:13 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -4 - ((-5 - -4) + (-6 - -3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (5586\/665)\/(12\/(-20))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -328164 or -328166?\nAnswer: -328166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12277, 24556, 36835, 49114, 61393, 73672?\nAnswer: 85951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2751281 is divided by 33?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 94, 373, 838, 1489?\n\"Answer: 93*g**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 46566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 9064560023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/6, 6201\/202, -0.32, 0?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 2686600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 2*z**3 + 3*z**2 - 2*z. Let v(b) = -6*b**3 - 10*b**2 + 7*b. Suppose -4*j - 4 = -6*j. Calculate j*v(x) + 7*d(x).\nAnswer: 2*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 6070 = 0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 34 = 5*q, -q + 5*q + 37 = 3*d. Let n = -8 - -14. Let h = d - n. What is the highest common factor of 2 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2037126?\nAnswer: 2, 3, 7, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 270907547 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -108.22501 * -0.6.\nAnswer: 64.935006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 8*u + 7. Determine y(7).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*l**2 - l**2 - 3*l**2)*(-1 + 2 + 0)*(103270 - 18*l - 201*l - 103265) to the form q + i*l + w*l**3 + z*l**2 and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 * -14.6\nAnswer: 1.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d**4 - 3*d**4 + 3*d**4)*(4 + 1 - 3) + (-9*d + 22*d + 33*d)*(-2*d**3 + 4*d**2 - 8*d**2 - d**3).\nAnswer: -140*d**4 - 184*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 23, 99, 231, 425, 687, 1023, 1439?\n\"Answer: r**3 + 22*r**2 + 3*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -959 + 1430. Suppose 26*l = 153 + h. What is the remainder when 86 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s - 3*s**2 - s)*(-73 - 87 + 183)*(9 + 5 - 3).\nAnswer: -759*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1 - -1. Let u = 5 + p. Suppose 4*b = 5*s + 6*b - 10, -2*s + u*b + 4 = 0. Solve 0 = -3*x + k, 4*x - s*k + 0 = -2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 - -5440101?\nAnswer: 5440100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i + 3364. Let s(d) = 30363*d. What is s(h(o))?\nAnswer: 30363*o + 102141132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) -3  (b) 2\/9  (c) 101  (d) 74\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6260794um in kilometers?\nAnswer: 0.0000000006260794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 2*t - 5*n + 157 = 0, t = -5*n + 59. Suppose t = -b + 216. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**(-32)*m)**(-1\/12))**(-22) assuming m is positive.\nAnswer: m**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -26 - -29. Let y = -3 + 2. Which is the nearest to -0.1?  (a) i  (b) 2\/9  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6*((-28)\/8)\/(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do 32 and -752 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -176.9 + 177. Put h, -4, 17 in descending order.\nAnswer: 17, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g*g**(-7)*g*g))\/(g\/(g**(5\/8)\/g))*(g\/(g**(1\/6)\/g))\/(g**13\/g) assuming g is positive.\nAnswer: g**(-157\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*i**4 - 54*i**2 + 186 with respect to i.\nAnswer: -20*i**3 - 108*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**3 + 9*w**2 + 42*w - 265. Calculate t(11).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*a**4 - 11*a**4 + 6*a**4 - a**4 + 2*a**3 - 2*a**3 + (2*a - 2 + 2)*(2*a - 2*a + 2*a**3) - a**4 - 2*a**4 + 2*a**4.\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 1\/6, 15353, -4\/7, 4, -4 in ascending order.\nAnswer: -4, -4\/7, 1\/6, 1, 4, 15353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppzp. What is prob of picking 1 p and 1 z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = 3*a - 4 - 4, 2*a + 4*x = 2. Calculate the highest common factor of 22 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 145712214, 291424426, 437136638, 582848850, 728561062, 874273274?\n\"Answer: 145712212*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/2 + 5\/50*5. Let d be 3 + m + (-5 - -6). Calculate the highest common divisor of 24 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:13 PM and 4:58 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 29 = 20. Let k(l) = -5*l + 3*l + s - 48 - l. Does 6 divide k(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 2*v + 3*v - 1 + v - 2*v**2 - v - 11*v + 4*v - 3*v**3. Let h(j) = 6*j**3 + 3 + 7*j + 7*j**2 + 0 + 4*j**3. Give 2*h(w) + 7*p(w).\nAnswer: -w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1647315 times -39\nAnswer: 64245285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -35 + 30 - (0 + (0 - 5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes after 4:24 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7 or 8\/642147?\nAnswer: 8\/642147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = 4*z - y, 4*z + 4*y - 33 = -117 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3849938192 to the power of 1\/4, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes before 8:03 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -969119*c. Let a(z) = z. What is a(q(y))?\nAnswer: -969119*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 16040 and 90626.\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 22692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 615071 to the power of 1\/2, to the nearest integer?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 2 f when three letters picked without replacement from {w: 3, a: 1, y: 1, f: 2, v: 3, l: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (24\/24)\/((-1)\/(-18)). Calculate the greatest common factor of 42 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 7*p + 61. Let g(r) = -4*r - 31. Calculate -10*g(u) - 6*m(u).\nAnswer: -2*u - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z = -5*k + 48, 1281*k - 1286*k + 3*z + 28 = 0 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-12)\/5)\/((-22)\/110). Solve -l = 5*n - 4*n, -3*l + w = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the first derivative of 28\/5*p**5 - 77 - 115\/3*p**3 + 0*p**4 + 0*p**2 + 0*p. What is the third derivative of r(v) wrt v?\nAnswer: 672*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 27518 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-4))\/((-1815)\/(-165)).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -16, -7, 4 in increasing order.\nAnswer: -16, -7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -3*i - 2. Let q(v) = 0 + 2 + 1 - 4. Give -3*q(t) + w(t).\nAnswer: -3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - -4) + (4 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -5*p**2. Let x(y) = -19*y + 7. Let o(g) = 7*g - 5. Let f(m) = -5*o(m) - 2*x(m). Determine f(k(a)).\nAnswer: -15*a**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 43.14 to the nearest integer.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 2*h**2 + 117*h - 423. Determine m(-62).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 2 - 2 = 0. Suppose x*n - n = 0. Suppose 3*s - 7 - 37 = t, -4*s - 3*t + 50 = n. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a - 2*c + 58, -4*c = -a + 10 + 18. Solve 0 = b - 4*w + a, b - 37 = -2*b - 5*w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 + -6. Let r = 3 - v. Let q be (r - 1)\/((-5)\/10). Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -55*z + 1. Let u(b) = -55*b + 2. Calculate -5*d(m) + 4*u(m).\nAnswer: 55*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 44054176 and 576?\nAnswer: 792975168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 4*h**2. Let a(u) = 3*u. Let x(t) be the third derivative of -t**4\/12 + 4*t**2. Let p(w) = -2*a(w) - 2*x(w). Determine f(p(n)).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -3*n. Let a(v) = -17772*v. Give a(j(h)).\nAnswer: 53316*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -4865662880 + 1\nAnswer: -4865662879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2.573 - -3.573. Sort 3, c, -2, 0.27 in increasing order.\nAnswer: -2, 0.27, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 + 2. Let a be 38\/9 + 4\/(-18). Suppose b = -2*y - a, b - y - q*y - 8 = 0. Which is smaller: b or 2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 894524957 and 467?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 5 + 0)*(3 - 4*a**2 - 3).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 22486*b + 629594. Give y(-28).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z - 13. Let o = -89 - -73. Let x be c(o). Let n = x + 67. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 9*x + 28 = 0. Calculate the remainder when 177\/9*(x + -4) is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.5 - 2.7. Let h = u - -1.2. Put 5, 4, h in ascending order.\nAnswer: h, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54*l = 5999 + 36877. Is -5559\/7 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 21202220221 + -200112?\nAnswer: 21202020102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000734685911 rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19671605.\nAnswer: 5, 37, 113, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 566, 2260, 5092, 9068, 14194, 20476, 27920, 36532?\nAnswer: 46318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 58396.2 days?\nAnswer: 5045431680000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -147 - -434. What are the prime factors of o?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 98765 is divided by 177?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.7 - 2.5. Suppose -4*l - 5*x = -50, -40 = -l - 4*l + 5*x. Suppose 0 - l = 5*n. Which is the second smallest value?  (a) q  (b) 1\/7  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2453\/(-187) + (-136)\/(-1156)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2\/11, 3\/5, -9\/5, 3\/22?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.429 - -0.329. Which is the third smallest value?  (a) -10  (b) -5  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.1 and -135381.\nAnswer: -135381.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/11)\/(-4)*11\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*i - 128 + 25 = 65 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*z + 1 + 21*z + 10*z + 5*z.\nAnswer: 29*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:42 AM and 4:18 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -1879*l + 9024. List the prime factors of s(-39).\nAnswer: 3, 5, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*u + 8015 + 1641. Suppose b - u = x + 1190, b - 3596 = -x. Round b to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3366.9977 + 3351.6. Let s = 16.114 + j. Let c = 0.72 - s. What is c rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7 and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1295415848 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 15538410?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fyv when three letters picked without replacement from yviuvfoi.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*q - i + 6, 4*q + i = -4*i + 16 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -33*k. Let j(v) = -10607*v. What is j(z(u))?\nAnswer: 350031*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 439987 is divided by 1673.\nAnswer: 1661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1488.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 8477.642 millilitres in litres?\nAnswer: 8.477642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 898, 844, 776, 688, 574, 428, 244, 16?\n\"Answer: -z**3 - z**2 - 44*z + 944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -223137 rounded to the nearest 1000?\nAnswer: -223000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**2 + 8452*t + 33810. Calculate d(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9 or -1089911\/3?\nAnswer: -1089911\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -130 - 14?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 16) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3415 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 21 - 21 - 2*i + 2*i**2 to r*i**2 + w*i + u and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 316625\/30098 - ((-1911)\/(-26))\/7.\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2 - -3 - 8 - -5 - -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -152, -438, -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-39) - (184\/(-13) - (-2 + -2))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2 + 606?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 2602282 divided by 16\nAnswer: 1301141\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 74051152 rounded to the nearest one million?\nAnswer: 74000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.2082 to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3\/14  (b) 2  (c) -1  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s. Let m(x) = -13*x**2 + 3*x - 4. Let g(z) = -m(z) + u(z). What is the units digit of g(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 2*g**2 + 19*g + 3. Suppose -48 - 55 = -26*j + 27. Let t(a) = 3*a**2 + 39*a + 5. Give j*v(o) - 3*t(o).\nAnswer: o**2 - 22*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = -5*t + 14, -4*t - 9 = n - 23. Let l = 168 + n. What is the highest common divisor of l and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31332 is divided by 3344?\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 1, -2\/9, 0.1, -91?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 10) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 4390 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*k + k**2 + 129*k + 153*k + 140*k.\nAnswer: k**2 + 424*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**2 + x + 9. Let q(n) = -25*n**2 - 14*n - 12. Let o be q(-1). Let p = o - -27. Give t(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 2*m + 1. Let h(w) = 496. Let a(c) = -h(c) + u(c). Let r(t) = -t**2. Give r(a(k)).\nAnswer: -4*k**2 + 1980*k - 245025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 + 66574544?\nAnswer: 66574544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**2 + 15*f - 55. Let a be q(10). Let w = 7.69 - 8. Let d = w - -0.51. What is the nearest to d in 5, a, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 50140\/(-440220) + 2\/87.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-2 + -1 + (sqrt(44) - ((sqrt(44) - sqrt(176)\/sqrt(4)) + -5)))**2.\nAnswer: 16*sqrt(11) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pknnpanpznznazzz. What is prob of sequence kn?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 186163336.\nAnswer: 2, 23270417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 17972057119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4968 = 12*q - 768. What is the remainder when q is divided by 97?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.1790274 - -0.179. Round y to six decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 21*k**2 - 4*k - 24. Is m(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (7 + -5)*(2921 - 1). Let y be (-1 - -3)\/(2\/v). Suppose -i + y = 3*i. What is i rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-369)\/(-41) + -12 + -15?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - 0 - 11 - (27 + -26 + -49).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 19 = -2*c, 0*c - 11 = -c - 2*h. Let z(r) = 10 + r**2 - 5 - c. Let j(s) = -2*s**2. What is j(z(v))?\nAnswer: -2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3 + 48990 + 3*(6 + (-12 - -4))?\nAnswer: 3, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3025) + ((sqrt(3025) - -2*sqrt(3025)) + sqrt(3025))*6)\/(sqrt(30)\/(sqrt(6)*1) - -1*sqrt(125)).\nAnswer: 275*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -2*n**2. Let t(w) = -5*w**2 + 24*w**2 - 21*w**2. What is t(g(b))?\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.3 + -6.7. Let p = f - -3. Let i = -6467 - -6466.7. What is the smallest value in p, 1\/7, -4, i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 900\/(-25) + 18 + -5*(0 - 2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f*f**(4\/7)*f*f**6*(((f**(-2\/9)*f*f)\/f)\/f)\/(f**(-2\/3)*f) assuming f is positive.\nAnswer: f**(505\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 483511303.\nAnswer: 11, 43955573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -32114 >= -449583\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**3 + 2*p + 15. Calculate the remainder when 72 is divided by m(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 500.3 - 500.4. What is the biggest value in -7, p, -40\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*a - 25*a - 1860 = 0. Let h = a - -132. Suppose 5 + 7 = 3*o, 3*m + 2*o - 17 = 0. Solve -2 = 4*c - m*l - h, l = -2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3.6 + -517.47.\nAnswer: -521.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fex when three letters picked without replacement from {x: 2, l: 1, f: 1, e: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48318 is divided by 1073?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(21)\/(-1*sqrt(147)) - 5*(4 + sqrt(252) - sqrt(252))).\nAnswer: -40 - 2*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -4*h**2 + 5*h**2 + 3*h**2 - 7 - 5*h**2 - 7*h. Let a be f(-5). Let v(d) = 4*d**a - 3*d**3 + 6*d + 6*d**2 + 6 + 0. Give v(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 34358256 and 7632?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/16  (b) 3  (c) -13\/3  (d) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*p = -32*p - 13767. List the prime factors of p.\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-317)\/((-14265)\/54)*(-45)\/(-2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18\/(-60) + 893\/1710.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00043036196 rounded to 6 dps?\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -51  (b) 2  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 6 = 0, 3*u - 8*u + 68 = 4*z. Find the second derivative of -4*i**3 - 4*i + 2*i - u*i - 11*i**3 wrt i.\nAnswer: -90*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 77, 162, 247, 332, 417, 502?\nAnswer: 587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -1142*y**2 - 16*y + 24. Let d(v) = 22041*v**2 + 310*v - 465. Let c(x) = -8*d(x) - 155*j(x). Let h(z) = 4 + 2*z**2 - 4. What is c(h(k))?\nAnswer: 2728*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4685202?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5016*u + 2760 = 5131*u for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 532 - 511 = g - 4*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -1695*f**2 + 16331*f - 9689. Calculate g(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + -2 - (-5 + (-4 - -11))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 17 - -10. Suppose 0 = o - 4*a, 0 = a - 2*a + 4. Let j = m - o. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 o when two letters picked without replacement from gohpphng?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -0.2*14\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = s + 3*k - 14, 3*s + 3*k - 15 = 0. Let r(q) be the first derivative of 0*q**s + 0*q**4 + 0*q + 1 + 2\/5*q**5 - 2\/3*q**3. Factor r(b).\nAnswer: 2*b**2*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 87*h**3*o - 23356*h**3 + 3*h**2*o + 44*h*o wrt o.\nAnswer: 87*h**3 + 3*h**2 + 44*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**3\/7 - 44*k**2\/7 - 174*k\/7 + 540\/7.\nAnswer: -2*(k - 2)*(k + 9)*(k + 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m, 1 c, and 1 f when three letters picked without replacement from chmhf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 597688520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 15377683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*v**4 - 228729*v**2 + 6647662 wrt v?\nAnswer: 8*v**3 - 457458*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 17 and -0.02661?\nAnswer: -0.45237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 330 (base 11) to base 3.\nAnswer: 112200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1190823?\nAnswer: 3, 277, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 1798*t**3 - 44 + 90 + 145*t**3 - 47 in the form a + n*t**2 + p*t**3 + y*t and give p.\nAnswer: 1943","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 461 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -771*x + 14386 + 13234 = -13243 for x.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15069*z + 15069*z + z**2 - 379 to i*z + y*z**2 + h and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7\/(-3)*6\/(-294)*-119.\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 74.08092 nanograms in micrograms?\nAnswer: 0.07408092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*m - 2*x - 1, -2*x = -2*m - x + 4. Let y(v) = 0*v + v + 2 + m. Let z be y(-5). Put -4, -1, z in ascending order.\nAnswer: -4, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -112 = 2*n - 114 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 114 - 85357*u - 11474*u - 114.\nAnswer: -96831*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1140815 is divided by 2241.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1240043 (base 6) in base 3?\nAnswer: 10102111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g and 2 n when four letters picked without replacement from ggggongggggggngfg?\nAnswer: 39\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the third derivative of l**6\/120 - l**5\/30 - l**4\/8 - 2*l**3\/3 + 2*l**2. Let f be t(3). Let z = 3 - -1. Sort z, -3, f in decreasing order.\nAnswer: z, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 + (25 - 10) - 9) + (19 - -3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(539)*-3 + -4)*-1 + 1)*-1.\nAnswer: -5 + 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 8*t + f + 2253 = 0, 15 = -5*f. Calculate the highest common factor of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -63*(2 + 0 - 30). Let p be -6*(-3)\/(-12)*f\/(-14). Calculate the greatest common factor of p and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k**3 - 45*k**2 - 195*k - 21. Let m be r(49). Let n be (-1 + 2)*(-26)\/(-2). Let u = m - n. Solve 4*o = -o - u for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -3*v + v, -4 = 4*d - 2*v. Which is bigger: 12\/17 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1043399285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((-4*sqrt(112) + sqrt(7))**2 - sqrt(7)).\nAnswer: -sqrt(7) + 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16 + -50\/3. What is the closest to o in -1\/2, -2\/5, 1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2909283 is divided by 152?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the first derivative of d**7\/420 + d**6\/45 + d**5\/12 + d**4\/6 + 2*d**3\/3 + 1. Let p(i) be the third derivative of v(i). Suppose p(k) = 0. What is k?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 74 = 73. Let o(n) = 67*n**2 + 9*n - 9. List the prime factors of o(v).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 2*u - 3. Let i(k) = 3*k - 5. Let p(y) = 5*b(y) - 3*i(y). Let a be (6\/(-4))\/3*0. Let g be p(a). Solve 4*r - d = 0, g = -2*d + 7*d for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.324 + -0.3239572. What is i rounded to six dps?\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 765 * -1.2\nAnswer: -918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes after 3:00 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2122323 (base 6) to base 5.\nAnswer: 11313420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -72\/89 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -332785\/6398484 - -3\/14411. Find the common denominator of o and 151\/36.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5\/9886 - 22231\/24715. Suppose -48 = 4*i - 0*i. Find the common denominator of d and 101\/i - 2 - -2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*x**2\/5 + 15028*x\/5 - 2504\/5 = 0.\nAnswer: 1\/6, 626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 - 3 - 5) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -55 - -72. Suppose -3*c = 2*r + 2*r - 549, -386 = -2*c + 4*r. Calculate the highest common divisor of u and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -77*t + 84*t - 47*t + (3 - 2 + 0)*(t + 2*t - 5*t) - 2 + 2*t + 2 + (3 - 1 + 0 + 4 - 3 + 0 + 2 - 3 + 3 + (2 - 4 + 0)*(-2 + 5 - 4))*(-t + t - 3*t).\nAnswer: -61*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1307*r + 12*r**3 + 173*r**3 + 172*r**3 + 20*r**3 + 159*r**3 wrt r?\nAnswer: 3216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y**2 + 29*y - 4. Suppose 7*f = f - 144. Let d = 3 - f. What is the tens digit of m(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-16)\/(-10)*190\/76. Suppose 0 = -2*c + c + r + 317, 4*c + m*r = 1236. Is c a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 452 + 19. Suppose -5*i + h + 813 = 0, -3*i - 6*h = -h - q. Which is bigger: 164 or i?\nAnswer: 164","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-29334)\/90 - (2 + 8\/(-5)). Let c = 327 + d. Factor c*r - 1\/3*r**2 - 1\/3.\nAnswer: -(r - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the second derivative of 3\/10*g**5 - 2*g + 5\/12*g**4 + 0*g**3 + 0 + 0*g**2. Find the third derivative of j(i) wrt i.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -2\/9, -321\/2, 4, -0.3, -2, -0.07?\nAnswer: -321\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*r**2 + 2*r**2 + 2*r**2 - 41 - 32*r - 12*r**2 + 48*r as t*r**2 + h*r + m and give m.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4790771587?\nAnswer: 7, 19, 36020839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the first derivative of -p**2 - 28*p - 1. Let t be 12\/(-30)*1*35. Let o be i(t). Solve o = 3*h - 0*h - 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6453 is divided by 2144.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01756350195 to 5 dps.\nAnswer: 0.01756","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-28)\/48)\/((-2)\/8)*33.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2103061389 take away 0?\nAnswer: -2103061389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(84) + sqrt(84) + -2*sqrt(84)*6 - (-2*sqrt(84) + sqrt(84))*-6)*1)\/((1*sqrt(108) - sqrt(108))*-2 + sqrt(108) - (sqrt(108) + -2*1*sqrt(108))).\nAnswer: -8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 5 + 16*p**2 + 15*p**2 - 32*p**2 to z*p**2 + b*p + a and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 953, 2\/9, -5, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 27147877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l + 4*v - 1 - 18, 0 = 5*l - 3*v - 12. Let d(t) = -t**3 + 4*t**2 - 3*t + 2. Let f be d(l). Solve 3*p + i - 40 = -4*i, f*p - 35 = -5*i for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8 - (-15 + 4))*(-10)\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1372818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 5 + 2)*(-2*n**5 + 0*n**5 + n**5) + (-4 + 3*n**2 + 4)*(-4*n + 4*n + 2*n**3).\nAnswer: 9*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -208*s - 3729. Let f be p(-18). Solve f = k + 5*q, 3*k - 40 + 39 = -4*q for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -7786.84 and -3.\nAnswer: -7789.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -4*s**2. Suppose 2*z = -z + 4*n + 74, 2*n = z - 28. Let b = z - 12. Let i(v) = 2*v + 2*v + v - b*v. What is f(i(t))?\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**2 - 12*c - 95. Determine g(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 57923*u - 1448078. What is g(25)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*((sqrt(1440)*2 - sqrt(1440)) + sqrt(1440)))\/(sqrt(800) - sqrt(800)*2).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 2 - 5 - 4 + h. Let f be 16\/(-20)*(-10)\/4. Let o be f*(0 - 1) + 5. What is u(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 379*q - 389*q - 40 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-20)\/(-8) - 2)*0. Let d be 5\/7 + (-22)\/(-77). Let a be d - 2*(-3 + 2). Solve a*b - 4*b = s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -10*u + 28. Suppose 5*s - 3*c = s + 2, -3*s - u = -5*c. Solve 0 = 5*o + 20, 0 = -3*i - s*i - 4*o - 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4239)\/(-314))\/(66*6\/(-48))?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 95 - 29. Let d = -60 + g. Solve 0 = d*i - 2*i + 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 10 = -2*w. Let j be ((-4)\/w)\/((-1)\/5). Is ((-1)\/(-2))\/(j\/40) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 254053611?\nAnswer: 3, 7, 1344199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 666903534?\nAnswer: 2, 3, 11, 19, 531821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7379996*j**2*q + 136859871*j**2 - 2*j*q - 4*q wrt q.\nAnswer: 7379996*j**2 - 2*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 2\/125367?\nAnswer: 2\/125367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.058372463 + -0.16.\nAnswer: -0.218372463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t + 3152 = 4*j + 4*t, -4*j + 3154 = 5*t. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ddswwdiwkdddidsw. What is prob of picking 1 w and 1 s?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Do -35 and -28 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1100) + 0)*2 + 1)*2*-5.\nAnswer: -200*sqrt(11) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 673 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -63 + 5*h**2 + 63 - h**2 in the form m*h**2 + d*h + p and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = u - 0. Suppose -u*w + 6 = -w. Let c(m) = m**3 - 8*m**2 - 9*m + 4. Calculate the remainder when c(9) is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2249, 4495, 6737, 8975, 11209?\nAnswer: 13439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**3 + 39*s**2\/4 + 45*s\/2 - 25\/4.\nAnswer: (s + 5)**2*(4*s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-1 - 0)*-1*132 is divided by 9 + 14 + -17 + 24 + -7?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -34470.4206 to the nearest 10.\nAnswer: -34470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1378\/12 + 4\/24. Let r = -2643\/23 + h. Are 1 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (6\/(-9))\/((-2)\/3). Let k be (-22)\/(-8) + 4\/16 - 1. What is the derivative of n**3 + 4 + k - d - 4 wrt n?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 3*y + 5*z, -4*y + 3*y + 3*z = -17. Suppose -4*n - 19130 + 6976 = -5*c, -y = -2*n. Suppose -c = -j - j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(539)*1 + sqrt(539) - ((sqrt(539)*-1 + 0 - sqrt(539)) + sqrt(539) + sqrt(539))) + -5 + 5)**2*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10194307 is divided by 3398100?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -2423027.6239 to the nearest ten.\nAnswer: -2423030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11.292 + 11.29217652. Round j to 6 dps.\nAnswer: 0.000177","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5221399496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 5*v**3 + 15*v**2 - 884*v - 1771. Calculate a(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/(-12)*2*-7*26\/(-455)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 74257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.183337075*-1.\nAnswer: -0.183337075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1027 + -1026. What is the closest to -33 in c, -0.3, -2.1?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1155, -2314, -3473, -4632, -5791?\nAnswer: -6950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-9)*6\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*(h**13\/h)\/h)\/h)\/h*h*h\/((h**(1\/10)*h)\/h))**(-50)\/((h**(-10\/3)*h)\/h**(4\/5))**(-28) assuming h is positive.\nAnswer: h**(-10241\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r - 6*o + o = -185, 5*o + 480 = r + 675 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -728 = -30*w + 23*w. Suppose -o - 101 = -w. Solve 5*y - 3*x - 3 = o*y, -2*y - x = 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 1372346111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 + -1 - (-3 - (120 + (79 - 72)))?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 56 + -32. Suppose -5*k + i + 41 = 0. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-10)\/15*(3 + 0) + 2. Suppose z - 3*z = 0. Solve z = r - 5*r + g - 9, g + 3 = m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*t**3 - 15*t**2 + 6*t + 24.\nAnswer: 3*(t - 4)*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, 2\/5, -9, -44, -2\/27 in decreasing order.\nAnswer: 2\/5, 1\/3, -2\/27, -9, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 3*k - 5*k**3 + 4*k**3 - 2*k - 3*k**2 - 4 + 13*k**2. Suppose -5*i + 4*i = -10. Let o be d(i). Solve 4 - 2 = 2*n, -4*n = 2*v + o for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(2\/7))**(-6\/17))**(-34) assuming g is positive.\nAnswer: g**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-58736)\/161524 - -1*304\/(-11).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3140 and 1460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -41707\/11 - -3793. Which is the third biggest value?  (a) -3  (b) 1\/5  (c) j  (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/138 and 76\/165003.\nAnswer: 7590138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 + 8 = -3*m, -10 = 2*u + 2*m for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -93 divided by -31.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 62131 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x**3 + 3*x**2 + x + 7. Let h be q(-3). Let p be h*-1 - (-2 + -6). What is the third derivative of -j**2 - 4*j**p - 8*j**4 - j**4 + 4*j**4 wrt j?\nAnswer: -216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*b + 3*b - 4*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9341, -18682, -28045, -37430, -46837, -56266, -65717?\nAnswer: -75190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 6*2 + 45960\/(-2880) and -131\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (15 + (6 - (-5 + 2 + -38 + 53)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2282?  (a) 5  (b) -2  (c) 0.5  (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.014541907 rounded to 5 dps?\nAnswer: -0.01454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.46 or -520.517?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -91*i = -147*i + 1960. Solve 0 = -36*s + 73 + i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -2, 3, 942 in decreasing order.\nAnswer: 942, 10, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5\/2, 1\/366, -0.1, 0.5, -227.\nAnswer: -227, -0.1, 1\/366, 0.5, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 3 = 4*u - 6, -4*x = -2*u + 12. Let q(l) = 3*l - 7. Let b be q(4). Sort -9, u, b in ascending order.\nAnswer: -9, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15625234 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = -5*m + 25. Suppose -5*g = -5 - m. Suppose -16 = -2*u + g. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**3 + a**2 - a + 1. Let l = -9486 + 9491. Let r(x) = -12*x**3 - 21*x**2 + 21*x - 21. Calculate l*r(s) + 105*o(s).\nAnswer: 45*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -37856, -77289, -116722, -156155, -195588, -235021?\n\"Answer: -39433*m + 1577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.112803 to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c - 3. Let o = 0 - 0. Give q(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6*(44\/(-48))\/(-11)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 691*g - 165*g + 199*g. Let m(f) = 63*f. Determine 5*j(v) - 58*m(v).\nAnswer: -29*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pipi when four letters picked without replacement from iiiippipiiii?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**2 + c + 2. Let k be u(0). Suppose 2*i = -2*b + i, 3*i + k = -5*b. Suppose 38*t = 57*t - 76. Solve 0 = 2*y - t, b*h = 2*y - 6*y for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -122 - -108. Let f = 147 + t. Let c = f + -87. What is the remainder when c is divided by 21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4\/5  (b) 1  (c) -5  (d) 3394  (e) 0  (f) -4\/467\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 8*l - 120. Let o be y(26). Suppose -16*z + 27*z - o = 0. Which is the smallest value?  (a) 1\/2  (b) -2\/13  (c) z  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -46 - -70. Let j be z\/(-182) - 4\/26. What is the nearest to 1 in 2, -3, 0.2, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vn when two letters picked without replacement from bbvnnbvnbbbbvn?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) -5\/2  (c) 73  (d) -8\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*j**2*r*z - 2*j**2*r + 36*j**2*z - j + 5*r*z - r - 11*z wrt j?\nAnswer: -8*r*z - 4*r + 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-19)\/5 - (0 - (-8)\/(-10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the first derivative of 1\/2*y**4 + 3 + 0*y**3 + y**2 + 0*y. What is the second derivative of o(b) wrt b?\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6013 - -6038. Let t(h) = 240*h - 25. Let u(r) = 20*r - 2. Calculate b*u(j) - 2*t(j).\nAnswer: 20*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 311*b*k**3*t**2 + b*k**3*t - 2*b*k**3 + 43*b*k*t**2 + 7*k**3*t**2 + 17*k**3*t - 279*k**2*t + 2*t wrt t.\nAnswer: 622*b*k**3 + 86*b*k + 14*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -18+62\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 68767, 68639, 68523, 68425, 68351, 68307, 68299, 68333?\nAnswer: 68415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6 - -8. Suppose -r*s = -0*s. Solve s*h + 5*h - 15 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -1523*h + 508687. Determine w(334).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5738 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 434 + 50 = -0*l. Calculate the highest common factor of l and 288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 119553228 and 4266?\nAnswer: 358659684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.06 times 413927?\nAnswer: 24835.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the second derivative of 5*s**7\/42 - 5*s**6\/6 + 25*s**4\/3 - 40*s**3\/3 - 14640*s. What is a in o(a) = 0?\nAnswer: -2, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1687227325?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*z**4 + 585*z**3 - 6940*z**2 + 18720*z.\nAnswer: -5*z*(z - 104)*(z - 9)*(z - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 3*14*3\/(-18)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h - 1, -9*h = -2*c - 14*h - 5. Suppose 94*l - 96*l + 584 = c. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.9984273 and -5.9.\nAnswer: -6.8984273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**4\/6 - 37398*x**3 - 2793884465*x**2 - 207722765380450*x\/3 + 37374424070267125\/2.\nAnswer: -(x - 267)*(x + 74885)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -74.1  (b) 8  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 45 = 4*w, v = 2*w + 4*v + 5. Suppose -w*h - 220 = -5*l, -4*l = -4*h + h - 181. Differentiate -43*p**3 - p - 7 + l*p**3 + p wrt p.\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(1 + 2*sqrt(1053))*3*6*3 + -2)**2.\nAnswer: 956448*sqrt(13) + 110566624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 59093.3 rounded to the nearest 100?\nAnswer: 59100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8740*g**2 + 311*g - 11?\nAnswer: 17480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 125\/((-164125)\/202)*(-6)\/((-6)\/(-2))\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 * -25713.\nAnswer: 12856.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 3, d: 5, g: 4, o: 3, m: 1, f: 1}. Give prob of picking 2 d and 2 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/9?  (a) 103  (b) -5\/7  (c) 0.2  (d) -2\/15  (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(304))**2 + 1 + 0 - (3*(5 + sqrt(304) + 0))**2.\nAnswer: -1744 - 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 107 - 102. Let d(j) = 2*j**2 + 4*j + 3. Let g be d(-2). Suppose -144 = -c - g*c - l*o, 4*c = -o + 128. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -1648*i**2 + 11453*i + 588. Give h(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 141387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 1104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in seven halves of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1296 + 4058. Suppose -5*q + t + r = 0, -4*q + 707 = -4*t - 1509. List the prime factors of q.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12 - -18. Suppose -8*b + 5*b = -9. Let z(x) = -x**4 - x**2 + 2*x. Let r(f) = -f. Let a(o) = b*z(o) + u*r(o). Find the third derivative of a(y) wrt y.\nAnswer: -72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 38  (b) -1  (c) -0.13101  (d) -4  (e) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*i + 24 = -14*i. Let r be (10\/i)\/(60\/72). Suppose n - 13 - r = 5*t, 5*n - 51 = t. What is the remainder when 19 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -94*l + 2. Suppose 27*v = 23*v - 16. What is the units digit of w(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3795, 8232, 15631, 25998, 39339?\nAnswer: 55660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, -2\/7, 1, 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmmiimimiimm. Give prob of picking 2 i and 2 m.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:53 PM and 12:37 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -31*x**2. Let a(m) be the first derivative of -10*m**3\/3 - m - 1033. What is r(a(p))?\nAnswer: -3100*p**4 - 620*p**2 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -6*k - 6. Let q be y(6). Let o be q\/(-11) + (-10)\/(-55). Let t(b) = -2*b**2 + 5*b. Let m(f) = f**2 - 2*f. Let j(p) = 5*m(p) + 3*t(p). Calculate j(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*k**2 - 8*k**3 - k**4 + 29*k**3 + 7*k - 12*k**3 - 8*k**3 to the form c + h*k**4 + t*k**2 + o*k**3 + y*k and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the first derivative of 2*o**3 - 1\/4*o**4 + 1 - 3\/2*o**2 + 0*o. Is g(3) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2402, 4799, 7194, 9587, 11978?\nAnswer: 14367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 6\/28*-2*4\/6\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 142 - 26 - 600\/8.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 5*g + 6 = -33, -3*g = -2*s + 26. Suppose -2*q + 7 + s = 0. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -68938 or -68936?\nAnswer: -68938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 17746.388 rounded to the nearest one hundred?\nAnswer: 17700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zuzzuuzzum. Give prob of sequence mz.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (26*q - 234*q + 110*q)*(2*q - 3*q - q + (-2 + 2*q + 2)*(4 - 4 - 2) + 4 - q - 4 + 0*q - 2*q + 4*q).\nAnswer: 490*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -17.3 + -54.7. Let u = -0.030914877 - 71.969027123. Let z = b - u. Round z to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*g - 7386 - 69510 = 0. What are the prime factors of g?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 10\/(-4)*48\/(-40). Suppose 0 = -3*j + 3, 3*f - a*j = f + 43. List the prime factors of f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3 + 0. Suppose 4*r + 3 = -5*a + 3*r, 2*a = 4*r + 12. Suppose a*q = -g*q + 9. Solve -t = -q*t - 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.522 + 0.008. Let i = 0.13 - r. What is the smallest value in i, -88, 0.3?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 48441.22249 to the nearest 1000.\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -857 - -859. Let h = 0.05 - -3.95. Which is the third smallest value?  (a) h  (b) d  (c) -2\/53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -10*d**2 + d. Let p(v) = -81*v**2. Let j(g) = -5*g**2. Suppose -3*c = 3*f + 93, 3*f - c + 98 = -3. Let l(w) = f*j(w) + 2*p(w). Determine x(l(y)).\nAnswer: -90*y**4 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 - 7 = -19*v. Solve u - 78 + 75 = v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1 + 2 - -1) + -2. Suppose 0 = h*r - 5 - 1. Which is smaller: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2690182 by -2690182.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 7 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 44859116895 - k + 82*k**2 - 44859116895.\nAnswer: 82*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.5 + 0.7. Let b be 4\/3*6\/(-4). Let y = -2 + 1.9. What is the nearest to 1 in w, b, y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*l + 347 + 351 - 427 in the form g + j*l and give g.\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-9*7\/(-126))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the second derivative of 7*w**5\/20 + 4*w. Let j(i) = -3*i**2 + 4*i**3 + 3*i**2. Let x = 213 + -218. What is x*j(d) + 3*o(d)?\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:56 PM and 8:43 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 9855.028 seconds in milliseconds?\nAnswer: 9855028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -264*x**3 + 210*x**2 - 111*x**3 + 218*x**2 - x**4 - 430*x**2 wrt x.\nAnswer: -24*x - 2250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the third derivative of n**5\/150 - n**4\/40 + n**3\/30 - 15*n**2. Factor o(v).\nAnswer: (v - 1)*(2*v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 603*j**2 + 842*j**2 - 25*j - 1444*j**2.\nAnswer: j**2 - 25*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w + 10 - 8. Let y be (-8 - -3 - w)*(-6)\/21. Let o be (2 - 1) + -1 - 0. Solve -y*k + 3 - 13 = o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -25 - -25.00004. What is x rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -52, 3\/5, 1\/4, 5 in ascending order.\nAnswer: -52, 1\/4, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2246 - -5?\nAnswer: -2241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -4*g**2 + 59*g. Let n(p) = -2*p**2 + p + 1. Let v(j) = 5*j**2 - 2*j - 2. Let o(c) = 2*n(c) + v(c). What is o(z(m))?\nAnswer: 16*m**4 - 472*m**3 + 3481*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 111 + -89 + -21 + -9 + 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.5*-0.231\nAnswer: -0.1155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is m in m**4\/7 + 76494*m**3\/7 + 1453080*m**2\/7 + 4205762*m\/7 - 3965775 = 0?\nAnswer: -76475, -11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31315 is divided by 1361.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, 2\/3, -39, -150, 3 in descending order.\nAnswer: 3, 2\/3, -1\/2, -39, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 293 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(2\/3))**34*(c*c**(-1\/2)\/c*c)\/(c*c**7\/c)*((c*c\/(c\/(c*(c**(3\/5)\/c)\/c)))**(-11))**38 assuming c is positive.\nAnswer: c**(-7039\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 319887571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 198 = -338*a - 27180 for a.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 486900762?\nAnswer: 2, 3, 81150127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1355 - 696. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(1900) - (sqrt(1900) - -4*(sqrt(1900)*3 - sqrt(1900)))).\nAnswer: -80*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**2 - 2. Let f be ((-1)\/(-1))\/((-4)\/8). Let h be w(f). Let l = 3 + h. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 - -4.97. Let q = -433 + 434. Sort q, r, -5.\nAnswer: -5, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/18 and 61\/39482.\nAnswer: 355338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 714.7 + -130.7. Let p = 567 - d. What is the second biggest value in 3\/4, -4, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**3 - 3*v**2 + 5*v - 5. Let t be s(2). Is 40\/19 at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c - 14 = -3*a, -4*c = 5*a - 18 - 11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3368 + -3366. Let b(d) = 26*d**2 - 5*d. Let a(p) = -5*p**2 + p. What is i*b(o) + 11*a(o)?\nAnswer: -3*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7828897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -6085322 bigger than -6085320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:24 PM and 12:31 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2576958.\nAnswer: 2, 3, 307, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14 - 27 - 2 + (8 - 9 + 12)*(2 - 5 + 1))*(-1 + 1 + 3)*(2*m + 1 - 1).\nAnswer: -222*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 + 0)*(-55 + 18*s + 55)*(4 - 5 + 2)*(-1 + 3 - 28*s + 30*s).\nAnswer: -108*s**2 - 108*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 68\/5304*-65*(-54)\/(-20)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 140 + -343. Let v(a) = -12*a**3 - 2*a**2 - a. Let m be v(-2). Let w be 15\/m + y\/(-6). Do w and 35 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:34 PM and 7:16 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*w + 14*w**2 + 3*w**3 + 14*w - 5*w**3 - 4*w + 42*w**2.\nAnswer: -2*w**3 + 56*w**2 + 22*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*i**4 + 15*i**3 - 9*i**2 + 146*i + 1138501 wrt i.\nAnswer: -8*i**3 + 45*i**2 - 18*i + 146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(110) + sqrt(110) + sqrt(110)*2 + sqrt(110)))\/(sqrt(10) + (sqrt(250) - (sqrt(250)*-1 + sqrt(250)) - sqrt(250)) + sqrt(250)).\nAnswer: -25*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u*u**(-23)\/u*u)*u*u*u**(1\/4))**(-13\/4) assuming u is positive.\nAnswer: u**(-1313\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + sqrt(90)\/sqrt(5) + -5 - -5*-3*(sqrt(2) + -1 + 0 + sqrt(2))) + 5)**2.\nAnswer: -594*sqrt(2) + 1579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (3 - 1) + 0\/2. Let k = -2 - -4. Factor -13 + 7 - 2*a**2 + 8*a + 5*a**j - 5*a**k.\nAnswer: -2*(a - 3)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 3832, 3831, 3830, 3829, 3828?\n\"Answer: -l + 3833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (19 - 31 - 2) + (-2 - -31 - -4).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 72 (base 13) to base 8\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7 - 5. Suppose -o = 2*t - 71, -3*o + 6*o + v*t = 205. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**3 - 4*u**2 - u + 8. Let b be q(4). Suppose 4*t + 1 = -0*t - 3*z, 3*t + b*z = -6. Solve 5*c = t*k, -2*c + 2*k = 3*k - 9 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -51511 divided by 3?\nAnswer: -51511\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3060383 is divided by 453.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 - -5. Let s(t) be the second derivative of -1\/6*t**3 + 0 + 1\/20*t**d - 2*t + 0*t**4 + 0*t**2. Find the second derivative of s(c) wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*q**5 + 0*q**5 - 4*q**5)*(3 + 3 - 5) + (q**2 - 2*q**2 - q**2)*(-q**3 - 4*q**2 + 4*q**2) + (31 - 6*q**4 - 31)*(-10*q + 8*q + 8*q).\nAnswer: -35*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**3 + 4*r**2 - 5. Let s be d(-2). Is 25 a factor of (76 + 7)*(-2)\/(-6)*s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = a - 5*v - 14, -9 = 4*a + 5*v. What is the highest common factor of a and 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s + 35 = -8*w + 56 - 49, 26 + 27 = -2*w + s + 39 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*m**3 - 20*m**2 + 5*m**2 + 7*m**2 + 8*m**2.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-20)\/k*k**(-2\/7) assuming k is positive.\nAnswer: k**(-149\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 74274 in 33, -0.3, 1\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 757 - 561.6. Let q = 196 - z. Let v = -4 - -17\/4. Which is the closest to -1?  (a) 3  (b) v  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(8\/7)\/w*w**(-2\/37) assuming w is positive.\nAnswer: w**(23\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1 + 129.\nAnswer: 128.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 33107670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-16)\/6*(-6)\/8. Suppose 3*v - 2*j = -n*v + 65, 0 = 4*v - 2*j - 54. What is the remainder when 41 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 15 = 3*u, -5*z + 175 = u + 197. Which is the smallest value?  (a) 0  (b) 2\/3  (c) z  (d) 0.5  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 + r + 2*r + 8)*(132 + 498 - 190).\nAnswer: 1320*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 109225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 261 = 5*c. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 17\/12  (b) -4  (c) 0.4  (d) -20  (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 164 is divided by 111?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52*t - 32*t + 2*t**2 + 179*t - 50*t.\nAnswer: 2*t**2 + 45*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: ((-4146)\/11747)\/(54\/(-408))\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d - 5*v = 26, d + 25*v - 6 = 24*v for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -233 - -236. Let n(m) be the second derivative of 1\/2*m**g + 3\/4*m**2 + 0 - 4*m + 1\/8*m**4. Find q such that n(q) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*k - 81 = -46 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*-3*(((sqrt(130) - -3*sqrt(130))\/sqrt(10) + sqrt(13))**2 + sqrt(78)\/(3*sqrt(6))) + -2 + 5.\nAnswer: 4*sqrt(13) + 3903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9583 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -49 + 67. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 67041 by -2.\nAnswer: -67041\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -281*p + 190 + 2541 = -1484 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1039623 to the power of 1\/2, to the nearest integer?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -4*u + 13. Let l be t(4). Calculate the remainder when -3 - l - (-2730)\/14 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 119646105.\nAnswer: 3, 5, 97, 82231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11251 (base 6) to base 5.\nAnswer: -22430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1231 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 8*j - 45 = 0. Let c = -7 + j. Let -1\/2 - y - 1\/2*y**c = 0. What is y?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 0.4, -43\/5, 1\/128 in increasing order.\nAnswer: -43\/5, 1\/128, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.2 - -0.1. Let x = -3819 + 3817. Which is the closest to l?  (a) 3\/7  (b) -3  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -40*l**2 - 1084 - 668*l**2 - 226*l**2 wrt l.\nAnswer: -1868*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 4*(5*sqrt(600))\/(sqrt(512) - sqrt(512)*-1) + -4.\nAnswer: -2 + 25*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 10 = 0, 3*a = 4*a + w - 25. Calculate the least common multiple of 93 and a.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/4*1*(0 + -2 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (-1 - 10) + 10\/(-50)*1 - -12.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3.7 - 4. Let t be -6*3*8\/(-36). Suppose 0 = -5*u + t*u - 1. Which is bigger: w or u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*z - 38*z + 8 = 0. Let q be (-1100)\/(-380) + 4\/38. Which is the biggest value?  (a) z  (b) q  (c) -2\/29  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.034 + 36.034. Let r = 36 - i. What is the second smallest value in r, -0.4, 2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vo when two letters picked without replacement from gvxxmgmmvoggvgvxvvvo?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*d + 33*d - 6 - 10 - 15*d - 13*d as j*d + b and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-10)\/25 - 11\/((-275)\/60). Suppose -t*h - 5583 = -3*i - 5*h, -3*h = 2*i - 3718. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2530142, 5060301, 7590456, 10120607?\nAnswer: 12650754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 3*l - 45 = 0. Let y be 555\/9 - 1*(-3)\/9. Let n = y - 53. Solve -i - n = -5*u + 3*u, -l = -3*u for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -204 + -4?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21 (base 11) to base 6.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 + -2. Suppose -5*c + m*u + 56 = -0*u, 4*c - 2*u - 46 = 0. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -21*n**3 - 132*n**2 - 141*n - 30.\nAnswer: -3*(n + 1)*(n + 5)*(7*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3977 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -37*s**2 - 4*s - 6. Let i(q) = 268*q**2 + 30*q + 43. Calculate -2*i(g) - 15*j(g).\nAnswer: 19*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u + 135 = 15*q, -50*u = q - 47*u - 23 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 - -4. Suppose 5*c = k*r, -4*c + 5*r = c. Suppose -8 = -2*z - c*z. Solve -z*w + 5 = 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lwlw when four letters picked without replacement from lddswwllllllllsslsls?\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 2*i**2 - 80*i - 354. Let c be g(44). Let r = 9133\/5 - 1649. Let p = 177 - r. What is the closest to 1 in c, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 0 - q**3 - 9 + 5.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvppmprvrp. What is prob of sequence pvr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 r when two letters picked without replacement from nubdnuniuruu.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59 + 59 + 13*k.\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -117 divided by 2813402.\nAnswer: -117\/2813402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 29241818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k\/k**6))**(-12)\/(k**(-25)\/(k**(-29)*k*k)))**(15\/2) assuming k is positive.\nAnswer: k**(-555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*w + 59*w**3 + 379*w**3 + 11*w + 10*w**3 + w**2 + 146*w**3 to the form r*w**3 + m*w**2 + v*w + i and give r.\nAnswer: 594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:21 AM and 6:57 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 5, -11, 17, -42 in descending order.\nAnswer: 17, 5, 2, -11, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 13.3 + 180.7. Let p = -192 + o. Let d be (3\/4)\/((-11)\/44). Sort -0.3, d, p in increasing order.\nAnswer: d, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 22, 0.5, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1 + 2)\/((-3)\/(-2)). Suppose -5*l - 13 = n. Sort 3, 4, l.\nAnswer: l, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/(10\/(-59)) - (-5)\/25. Let w be ((-1239)\/(-2))\/7*(-272)\/m. What are the prime factors of 8\/32 - w\/8?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4 + 3 - 8 - (-1 + 0). Solve x*k + 10 = -5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -4279, 16, -11 in descending order.\nAnswer: 16, -4, -11, -4279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 180193484 to the power of 1\/3, to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 24 = -p. Let g be 9*(-4 + 9 + -4). Let n be -8 + -4 + g - -87. Calculate the greatest common divisor of n and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -2*g + 26. Let r(i) = 2*i - 25. Give -4*r(c) - 5*v(c).\nAnswer: 2*c - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aoboooa.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 0*s**3 + 3*s**2 - 2 + 5 - s**3 + 3*s. Calculate the remainder when d(-3) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*v**3\/4 - 51*v**2\/2 - 72*v - 56 = 0. What is v?\nAnswer: -4, -14\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 40*k**3 - 4*k**2 - 3. Let h(f) = -40*f**3 + 5*f**2 + 4. Suppose -818*s + 853*s + 175 = 0. Give s*n(j) - 4*h(j).\nAnswer: -40*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**3 - 4*c**2 - 6*c + 4. Let z be x(5). Let o = 6 + -5. Let p = o - z. Solve 14 - p = -3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21*r + 4*r**2 + 21*r + (2*r - 2*r + 10*r)*(0*r + 0*r - 2*r) to the form x + o*r + y*r**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1\/((5\/10)\/(11\/(-121)))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -134*d + 15. Does 7 divide u(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -973.81 + -31043.6796\nAnswer: -32017.4896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/555390 and 13\/22950.\nAnswer: 2776950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -17454 != -17305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**3 - 5*p + 4. Let k be s(-4). Let l = k + 61. Solve 0*q + l = -u + 5*q, -4*q + 11 = 5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 5*j = 881, 7*v - 2*v + 4*j = 1099. Let k = 211 + v. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10001101010 (base 2) to base 10\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 - 4. Let d = -39 + 39. Sort x, -5, d in decreasing order.\nAnswer: d, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3323 (base 16) to base 15\nAnswer: -3d2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1123431?\nAnswer: 3, 29, 37, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sum -12098 and -905.\nAnswer: -13003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ljnil. Give prob of sequence ilnl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h. Let y(x) = -15329*x**2. Calculate y(p(r)).\nAnswer: -15329*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 1, s: 2, h: 1, v: 2, k: 1, i: 1}. What is prob of sequence cskc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 22615 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2188648 and 323?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 103144508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = 3*k - 32, -4*t + 2*k - k = -12. Let u(b) = 2*b + 2. Let v be u(t). Solve -4*a = -2*a - v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 167\/30 and 26\/1635.\nAnswer: 3270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 + -200?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that 56\/15*b**4 + 232\/15*b + 66\/5*b**3 + 2\/5*b**5 + 16\/5 + 108\/5*b**2 = 0.\nAnswer: -3, -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 256159097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 287 = 1. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-80*3\/(-36))\/(4\/(-6))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-m**2 - 5*m**2 + 2*m**2)*(5 - 2*m - 5) + m**3 - 17*m**3 - 21*m**3 in the form k + j*m + c*m**2 + i*m**3 and give i.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -2*c + 3*a + 5, 0 = 4*c + 5*a - 13. Let q be c*1 - (-8 - -6) - 139. Let d = q - -135. Let r(x) = -x**3 - x**2 + 16. Give r(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y - 3*q - 55, 2*q = -5 - 3. Let w = y + -3. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) -1  (b) -5  (c) 1  (d) -543  (e) 0.032  (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -45 (base 7) to base 10.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -249, 4, 0.08, -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the first derivative of y**4\/2 - 7*y**3\/3 - 7*y**2\/2 - 3*y + 3. Let v be h(6). Suppose 0 = o + 2*o - v. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 210 + -363. Let l(o) = o**3 - 3*o**2 - 3*o + 4. Let k be l(3). Calculate the common denominator of (p\/32)\/(-1 + k\/(-2)) and -91\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w - w + 5 = 0. Let a be (1 + w)*(-6 + 5). Suppose -4*m - 2*l + 24 = a, -3*m + m + 5*l = -36. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -2*y - 4, -2*h - 6 = 4*y - 3*h. Let f = 3 - y. Solve 0 = -5*k - 17 - 8, 4*p = f*k + 24 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1677\/(-2580) + 1\/(-10))\/((-6)\/32). Solve 5*m + 2*n = 31, 0 = -d*m + 4*n - 0*n + 8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the first derivative of x**3\/6 + 69*x**2\/2 + 240*x - 9. Let w(p) be the first derivative of q(p). Let r(o) = o. Give r(w(n)).\nAnswer: n + 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 11808*l**3*y**5 - 8*l**3*y**3 + l**3*y**2 + 136*l**3 - 33*l**2*y**2 - 2*y**2 wrt y?\nAnswer: 708480*l**3*y**2 - 48*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 6*o - 552 = 2*o, -3*a + 2*o + 429 = 0. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -158 - 176 - 6733*g + 334 to the form q + c*g and give c.\nAnswer: -6733","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/5, -3, 0.1, 2\/3 in increasing order.\nAnswer: -3, 0.1, 3\/5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 370667113 is divided by 469.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -3 - k**2 + 3*k - 1 + 2. Let o be (4 + 0)\/((-2)\/(-14)). Let u = -26 + o. Let t(j) = -4*j**2 + 10*j - 7. What is u*t(c) - 7*a(c)?\nAnswer: -c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -147 = -2*n - n. Let d = -5 + n. Suppose -2*q = -d - 2. Does 20 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = -l - 23, 3*l + 0*v = -5*v - 41. Let j(h) = -h**2 - 11*h - 4. Let c be j(l). What is the highest common divisor of 24 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the third derivative of f**4\/12 + 14*f**3\/3 - 7*f**2. Let v be h(-13). Let m = 6 - v. Solve -u + m*a + 18 = -a, -u - 4*a - 9 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 908 is divided by 179.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -50352 divided by 8012.\nAnswer: -12588\/2003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**3 - 25*r**2 + 84*r + 65. What is c(4)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 38 + -70. Let q(a) = -5*a - 83. Let c be q(-22). Let i = c + m. Is -6 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, q: 4, h: 2, j: 8}. What is prob of picking 1 h, 1 f, and 1 q?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 141 + -3.8\nAnswer: 137.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8 - 29. Are b and -21 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (7\/1 + -30 + 4980\/210)*14\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 147481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -30 (base 6) to base 16\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 - 1. Let z be (2\/2 - h)*1. Suppose z - 11 = 5*t, i - 2 = -4*t. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the second derivative of 25*p**7\/14 + 23*p**6\/2 + 189*p**5\/10 + 5*p**4\/2 - 23*p**3\/2 + 9*p**2\/2 - 3*p + 15. Find w, given that v(w) = 0.\nAnswer: -3, -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 24 + -34. Let i be (-31)\/(-35) + 6\/d. What is the third smallest value in i, 0, -10?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4\/3  (b) -191  (c) 4  (d) -0.9  (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1095, 2309, 3523?\n\"Answer: 1214*q - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + -5*6*(1*sqrt(17) + 3)*5)*4)**2.\nAnswer: 2169600*sqrt(17) + 9388864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2226744.9 and -12?\nAnswer: -26720938.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 10, p: 4, n: 1, l: 4}. What is prob of sequence laan?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 2*l**2 + 6*l. Let q(n) = 4*n**2 + 10*n. Let y(x) = 3*q(x) - 5*w(x). Let c(a) be the second derivative of -5*a**4 + 11*a + 1. What is c(y(r))?\nAnswer: -240*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + u - 10 = 0, -j + 4*j + 2*u - 5 = 0. Solve -v - 3 = -j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:46 AM and 7:55 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and -1.7.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the third derivative of -27*j**5\/20 + 603*j**2. Let o(n) = -2*n**2 + 24. What is c(o(i))?\nAnswer: -324*i**4 + 7776*i**2 - 46656","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/8)\/(-27*9\/(-54))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s - 2*v + 24, 4*s = -2*v - 9 + 1. Let d be ((-2)\/s)\/(2\/24). Differentiate 5 - d*a**3 - 21*a**2 + 21*a**2 with respect to a.\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (14\/6)\/((-47369)\/1887993)\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1082242 and 57137?\nAnswer: 18398114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 460 divided by -115\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 340320.\nAnswer: 2, 3, 5, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 4*t + 1 = 3*t, 0 = 2*k - 3*t - 3. Solve k = -0*y + 8*y + 24 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -255415 + -3?\nAnswer: -255422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c - 27 = -5*o, 72*c = 66*c + 3*o - 33 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/2*(6\/(-8))\/3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o*o**(-1)))\/o*o**(-3))**(-30)*(o**4*o*o\/(o**(-5)\/o))**(-2) assuming o is positive.\nAnswer: o**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -748 + 1373. Is q a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:41 AM and 3:00 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -153?  (a) -5  (b) 4  (c) -0.08  (d) 40  (e) -2\/5  (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*s = -97 - 39. Suppose -3*g**4 - s*g**4 - 8*g**3 - 8*g - 12*g**5 + 8*g = 0. Calculate g.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-84)\/12*(-2 - 2 - -2). Suppose -132 = -2*q + 4*y, -125 = -q - 5*y - 45. Calculate the highest common divisor of q and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 786, 1609, 2432, 3255, 4078, 4901?\n\"Answer: 823*q - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -10042 >= -10047?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 242100824.\nAnswer: 2, 7, 31, 139459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 660025 a multiple of 486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = 686 + 64. Let a = s + 103. What are the prime factors of (2\/(-1))\/(4\/a)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 + 3. Let d be (j + 1)*(-3)\/(-2). What is the units digit of -2 - -1 - (-1 - d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -78, -152, -226, -300, -374?\n\"Answer: -74*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -4*q + 5*b + 3, -b + 1 = q. What is the lowest common multiple of ((-8)\/3)\/(-1)*3 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.062013 minus 1.20722142?\nAnswer: -1.26923442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56*s**3 + 56*s**3 - 172*s**3 + 61*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -16038 by 9.\nAnswer: -1782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 10225615109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z + z - 3 = 0. Suppose 4*l - 14 = 3*o, 5*l - 26 = o - z. Suppose 0 = l*a - 281 - 119. Calculate the greatest common factor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/10, -2\/13, -0.4, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 9.227992 litres?\nAnswer: 9227.992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1504555 and 220.331?\nAnswer: 1504334.669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes before 11:29 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1492172?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 601605?\nAnswer: 3, 5, 29, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 147 = -3*m, 0 = -5*m - 20 + 25. What is the highest common divisor of 17 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 51, 3 in ascending order.\nAnswer: -5, 3, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the second derivative of q**5\/20 + 5*q**4\/12 - 2*q**3\/3 + 4*q**2 + 28*q. What is y(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 5\/6 of a day?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 362513127 to the nearest integer?\nAnswer: 19040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (-1 - -5) + 1 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in ninety-one halves of a day?\nAnswer: 1092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the first derivative of 0*a**2 - 1\/3*a**4 - 3\/20*a**5 + 2\/3*a**3 - 1 + a. Let n(c) be the first derivative of r(c). Factor n(s).\nAnswer: -s*(s + 2)*(3*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.3 and -352.\nAnswer: 105.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z + 3. Let j be (-84)\/24*24\/(-7). Let u(c) = -c**3 + 11*c**2 + 13*c - 8. Let f be u(j). What is m(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the first derivative of o**4\/8 + o**3 + 10*o**2 - 6. Let y(r) be the second derivative of a(r). Differentiate y(f) with respect to f.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -17005 (base 9) to base 2.\nAnswer: -10110110010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13371 + 13368. Sort 0, w, 15, 7 in descending order.\nAnswer: 15, 7, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and 883.52.\nAnswer: 176.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1590 divided by 5.\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (g - 4*g + 2*g)*(-7*g + 4*g + g)*(-g + 6*g - 3*g) in the form o*g + y*g**2 + b + z*g**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 8, e: 1, l: 2, d: 1, b: 1, c: 1}. What is prob of sequence ead?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, z: 9, n: 5, y: 3}. Give prob of sequence yyh.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 3*f + 6 - 5*f - 5*f + f. Let d be t(-3). Factor 19*n**4 + 10*n**2 + 2*n**3 + 3*n**3 - d*n**4.\nAnswer: -5*n**2*(n - 2)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11, -16, -19, -20?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 2320*p. Let a(o) = -71*o. Let s(k) = 261*a(k) + 8*n(k). Let z(u) = -44*u. Give 7*s(m) + 5*z(m).\nAnswer: -17*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*c**2 - c**3 - 5*c**3 + 6*c**2 + 0*c**3.\nAnswer: -6*c**3 + 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 * -138086.\nAnswer: -55234.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3939648 is divided by 1813?\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -8666300 or -8666266?\nAnswer: -8666266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4 and 1332.\nAnswer: -5328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h**(-6)*h)\/h)\/(h*h*h**(-4)))**5 assuming h is positive.\nAnswer: h**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15\/450*45)\/((-36)\/(-112))*(-78)\/4.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 46 + -52. Calculate the common denominator of (154\/(-12))\/((-2)\/3) and 1 + u + 1375\/(-200).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 2*b + 9. Let i(y) be the third derivative of y**5\/60 + 3*y**2. What is i(v(o))?\nAnswer: 4*o**2 + 36*o + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(1216) - -1*sqrt(1216))**2 - sqrt(152)\/(sqrt(8)*2)).\nAnswer: -3*sqrt(19)\/2 + 14592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -155 + 1083\/7. Which is the smallest value?  (a) p  (b) -4  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 451 and 57154.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33 is divided by 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 640*b**4 + 1203*b**3 + 72022*b**2 + 5*b - 4 wrt b.\nAnswer: 15360*b + 7218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(5\/6)\/s**7)\/((((s\/(s*(s\/(s*s**2)*s)\/s))\/s)\/s)\/(s\/s**5)))\/((((s\/s**(1\/3)*s)\/s*s)\/s)**(-2\/13)\/(s**(-2)\/s)**(-6\/11)) assuming s is positive.\nAnswer: s**(-7231\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9.7 - 1.7. Let r = p + -11. Let w = -153.7 - -153.4. What is the closest to -2\/9 in 5, w, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 - -9. Suppose 1698 = -5*b - y*p + 4498, 3*p + 572 = b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s - 598 + 142. Let u = s + -88. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-274)\/(-10) - 106\/265. Solve 4*u + 47 = w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 53131, 106258, 159385, 212512, 265639?\nAnswer: 318766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*w - 20*w + 8 = 0. Let i(v) = -7*v**3 + 2*v**2 + 3*v - 3. Let k be i(w). Round k to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**(-11\/2))**(-47))**(-6\/19))**(-36) assuming i is positive.\nAnswer: i**(55836\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - k - 2 + (-2 + 6 - 2)*(-2*k + 0*k + k) + (0 + 1 + 2)*(0 - 2 + 3)*(25*k + 16 - 16).\nAnswer: 72*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 64\/45625 and -8\/764675?\nAnswer: 19116875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 4*z**2 - 1)*(7*z**2 - 2*z**2 - z**2 - 2) + z**3 + z**3 + 2*z**4 - z**3 as w*z + x*z**4 + s*z**2 + k + d*z**3 and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, x: 2, p: 1, o: 2, j: 1}. What is prob of picking 2 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-99 - 115 - 17)*(0*t**3 + 3*t**3 + 3*t**3).\nAnswer: -1386*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*s = 13*s + 10 - 84. Let z(f) be the third derivative of 0*f + 1\/3*f**3 + 0 - 10*f**s - 1\/6*f**4. What is z(6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 80 = -5*x, 15 = -0*n - 3*n. Let v(p) = -p**3 + 12*p**2 + p - 12. Let c be v(x). Suppose c = -2*t + 9*t - 1568. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 101, 140, 213, 320, 461, 636, 845?\nAnswer: 1088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 2*s**2 - s - 5. Let i(b) = -b**2 + 2. Let o be (-24)\/(-4 + 0) - -1. Let x(d) = o*i(d) + 3*y(d). Let r be (-3)\/((-15)\/2)*-5. Give x(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in g - 3*g + 13*g**2 - 31*g**2 + 2*g.\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 1372049.415 to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -45231670 to the nearest 1000000.\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1088) + (-1 + sqrt(1088))**2 + -1 - (sqrt(1088) + -3)**2*-2 - (-3*(sqrt(1088) + -2) + 1*(sqrt(1088) - -4*sqrt(1088))).\nAnswer: -120*sqrt(17) + 3276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sum 92.643 and 39.49.\nAnswer: 132.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + 1 + (-8 - (-12 + 6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.5*104.6418\nAnswer: -52.3209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9327795 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6081.\nAnswer: 3, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -27550750 divided by 965?\nAnswer: -28550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -81 + 91. Let j = f + -11. What is the closest to j in -1, -3, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17583 (base 10) to base 12\nAnswer: a213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -248, -0.04, 6\/7 in increasing order.\nAnswer: -248, -0.04, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -10*q - 3. Let j(f) = -23 - 20 - 13 + 3*f + 56. Determine j(v(x)).\nAnswer: -30*x - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -20311102 + -102?\nAnswer: -20311210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 5121 a factor of 2272810137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14908, 16036, 17164, 18292, 19420?\nAnswer: 20548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -5 - -4 - ((-4)\/4 - 1). Let t(j) = 2*j - 8. Let y(x) = -1. Determine u*t(g) - 10*y(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -2*z**2 + 1. Let a be s(1). Let c be a\/(1\/(-2) + 0). Find the first derivative of 1 + c + x - 6 wrt x.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35.034 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/((g*g**8)\/g))**(-19\/2))**39 assuming g is positive.\nAnswer: g**(5187\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 234 + -4442\/19. Let o = -28371\/136 + 14211\/68. What is the third biggest value in o, 1\/6, k?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the second derivative of x**5\/50 - 9*x**4\/10 + 81*x**3\/5 - 729*x**2\/5 + 34*x. Let v(q) = 0. Calculate q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 4*u - 1. Let t be 2\/10*(-120)\/(-8) - 0. Let d(g) = 5*g - t*g + 3*g - 2 + 1. Give 4*d(y) - 3*j(y).\nAnswer: 8*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3660250900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p + 1. Suppose -5*m - 8*z + 50 = -3*z, -24 = -2*m - 3*z. Suppose -m*n - n = -280. Suppose 4*t = 4*q + 32 + 8, n = 4*t + 5*q. What is f(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 11*n**2 - n + 1. Let i be s(1). Let m = -9 + i. What is the closest to 1 in m, -1\/5, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1 - -2*1\/2. Let f be (-1)\/(g\/((-20)\/(-6))). Let u be -3 - -26*(-1)\/(-8). Sort u, f, -4 in increasing order.\nAnswer: -4, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 6 = -5. Let o(d) = d**3 - 3*d**2 + 5 - 12 - 10*d - 7*d**2. What is the remainder when o(s) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 764609239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -146*j + 185*j + 429 = 0 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of d**2*l**2 - 36*d**2*l*q*x - d**2*q - d*l**2*q*x - 2*d*l*q*x - 3*d*q*x + 2*l**2*x - 2*l*x wrt d.\nAnswer: 2*l**2 - 72*l*q*x - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -1 - 4*r**2 - 1 + 0*r - r - r**3. Let l be o(-4). Let a(x) = -x**l + 0*x**2 + 3*x**2. Let w(y) = 6*y. Calculate a(w(d)).\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**8*((a\/a**(2\/5))\/a*a*a)\/a*a)\/(a**3\/a)**(-7\/5) assuming a is positive.\nAnswer: a**(62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10 + 14. Calculate the lowest common multiple of f and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -134 - -212. Let d = -78 + f. Let j = -6 - -8. Which is smaller: d or j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 118*q**2 - 470517 + 66*q**2 + 235259 + 235258.\nAnswer: 184*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 11*a**3 + 97*a - 18. Let f be u(8). What is the highest common divisor of 36 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -36*l**2. Let w(u) be the second derivative of -7*u**3 - 2094*u. What is j(w(s))?\nAnswer: -63504*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/9, -1\/5, 0.2, -1.1, 7.4, 2, 12?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 1\/20 of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 591314363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wi when two letters picked without replacement from {i: 2, q: 5, w: 1, c: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -52532783*s**2 + 2835555*s + 11 wrt s.\nAnswer: -105065566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4\/(-3) + 17\/51. Let l be 1*(-3)\/3*p. Solve r - 4*r - l = 4*k, -2*r - 3*k = 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 365*g**2 - 7246*g + 4670665 wrt g?\nAnswer: 730*g - 7246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23752323.\nAnswer: 3, 7, 377021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z**2 - 43366416*z - 117540377292816 = 0. Calculate z.\nAnswer: -5420802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*i - 29*i + 146*i - 56*i - 31*i - 2*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**4\/2 - 14*a**3 + 227*a**2\/2 - 70*a - 1650.\nAnswer: (a - 11)*(a - 10)**2*(a + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/735)\/(41\/(-287))?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -129 + 133. Which is the closest to 0?  (a) x  (b) -5  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = 3*q - 14. Let o(v) = -10*v**2 - 24*v + 1. Let h(j) = -7*j**2 - 16*j + 1. Let u(y) = q*h(y) + 5*o(y). Determine u(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1 - 2) + (420\/(-25))\/(-6). Suppose 5*b = 4*b. Suppose -3*y - 1 - 2 = b. What is the second biggest value in y, 0.4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the third derivative of -135*x**4\/8 + 36*x**2 - 4*x. Let u(y) = 2*y**2. Determine u(f(d)).\nAnswer: 328050*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 92093091?\nAnswer: 3, 30697697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 329 + 102. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 6*h + 57. Let v be i(-9). Put 2, v, -5, -4 in ascending order.\nAnswer: -5, -4, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (990\/495)\/(46\/(-161)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 5*p = -0*p + 12, -5*p = 2*r - 3. Let m be 33\/(-27) - (-2)\/r. Let f(b) = -56*b - 1. Is f(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153) - (sqrt(153) + (sqrt(153) + -6*(2*sqrt(153) - sqrt(153)) + sqrt(153) - sqrt(153))) - sqrt(153))\/(5*(sqrt(441) + sqrt(9))).\nAnswer: sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.01, 2469, 1\/3, 1.6, 2\/3 in increasing order.\nAnswer: -0.01, 1\/3, 2\/3, 1.6, 2469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from duuuduujuufkujjjcckc. What is prob of picking 1 f and 2 d?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9537 and 100861.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -229800 divided by -3064?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:26 AM and 3:47 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -183364 divided by 4?\nAnswer: -45841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.138 + -0.04. Let n = z + -0.0979941. What is n rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 185, 1, -5, -3 in increasing order.\nAnswer: -5, -4, -3, 1, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the second derivative of -p**4\/12 + 3*p**3\/2 + 3*p**2\/2 + 3*p. Calculate the remainder when (-293)\/(-1172) - 71\/(-4) is divided by k(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -449*m + 205*m - 9380 = 225*m. Let c(t) = t + 67. Determine c(m).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m = -103 + 19. Calculate the greatest common divisor of 42 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 36654*i**2 + 52617. Let g(l) = 16661*l**2 + 23917. Let j(f) = -24*g(f) + 11*m(f). Differentiate j(h) wrt h.\nAnswer: 6660*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ask when three letters picked without replacement from {s: 1, k: 4, n: 2, a: 2, t: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9068 + -9066. Suppose 0 = -6*h + 3*h. Which is the closest to g?  (a) h  (b) -5  (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5\/6  (b) -3  (c) 21\/5  (d) 9  (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2464714 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 2*z**3 - 9*z**2 - 9*z. Let f(d) be the first derivative of 3 - 1\/4*d**4 + 5\/2*d**2 + 5\/3*d**3 + 0*d. Determine -11*f(j) - 6*i(j).\nAnswer: -j**3 - j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4589*p - 3284*p + 27405 = 0 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -63\/5930 and -2\/19335.\nAnswer: 22931310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 747768021 to the power of 1\/2, to the nearest integer?\nAnswer: 27345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -84535 - -4?\nAnswer: -84531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = -144*d + 142*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 445*g = -1 + 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3251.492 + -3027.8. What is q rounded to the nearest ten?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 111, 108, 95, 66, 15, -64, -177?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6 + -3. Suppose j + k*j - 20 = 0. Solve a - 5*w - 23 = 0, j*a - 2*w + 4*w - 7 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*m + 95 + 25 = 0. Let n(a) = 254603*a**2 + 31*a + 10. Let b be n(m). What is b rounded to the nearest one million?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*p + 456 = 24*p. Is 222\/17 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 622443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 397714375?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, x: 16}. What is prob of sequence xxd?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 189 (base 12) to base 13\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14044013 is divided by 259?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y = -f - 1168890 + 1168880, -4*f - 18 = 2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + (5 + -9 - 5) + 21.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**2 - 18*g - 10. Does 22 divide t(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 + 7. Let p = -0.074 - 0.126. Which is the closest to -3?  (a) j  (b) 0.3  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 p when two letters picked without replacement from ppxrxxxxrxccxx.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f**5 + 2*f**5 - f**3 - f**5 - 5*f**3 + 4*f**2 = 0. Calculate f.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes after 1:13 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the third derivative of d**4\/6 - 15*d**3\/2 + 688*d**2 - d. What is c(15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -174029.732596 and 47.\nAnswer: -173982.732596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 135502 is divided by 340?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -23.1686 + -0.0514. Let q = n - -23. What is q rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -81887.49 rounded to the nearest 1000?\nAnswer: -82000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*j**2 + 18*j**2 - 3 + 24.\nAnswer: 29*j**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 71155687 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c = c - 3. Let y(h) = h**3 - 3*h**2 + 4. Let r be y(c). Suppose -5*a - r*l + 88 = 0, 3*a = 2*l - 5*l + 54. Solve -4*g + a = -0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 < 34\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes after 4:02 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (8 - 11) - (-1 + -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(200) + 2)**2*-6 + sqrt(200).\nAnswer: -1224 - 230*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9 - 5. Let t(x) = -x + o - 2 + x**2 - 1. What are the prime factors of t(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 2 q when three letters picked without replacement from {f: 1, a: 2, y: 9, s: 4, e: 2, q: 2}?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1016867 + -62531.9.\nAnswer: 954335.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n**3\/5 + 4*n**2 - 99*n\/5 = 0 for n.\nAnswer: 0, 9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**3 + 1. Let p(q) = -4*q**3 - q**2 + 4. Determine -p(v) + 5*x(v).\nAnswer: -v**3 + v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r - 27 = -5*r. Let s = -24 - r. Solve n + s = 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.4  (b) 407\/6  (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the second derivative of 29*r**3\/2 + 5*r**2\/2 - 215*r - 3. Let k(t) = 5*t**2. Determine k(i(a)).\nAnswer: 37845*a**2 + 4350*a + 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 94289738 to the nearest integer?\nAnswer: 9710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 14*f - 854. Let l be b(61). Which is bigger: l or 3\/598?\nAnswer: 3\/598","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 3*n**3 + 0*n**3 + n - n**3 - 5*n**3 to the form q + t*n + r*n**2 + m*n**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - 0 - -2 - (1 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3603 (base 9) to base 4.\nAnswer: -221310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 350 - 351. What is the remainder when 150 is divided by 30\/4*s*102\/(-15)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/c**(-39))\/c*c*(c**36*c)\/c*((((c**7*c)\/c)\/c)\/c)**28 assuming c is positive.\nAnswer: c**216","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 18214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.116086 and -0.24.\nAnswer: -0.123914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the first derivative of -p**4\/22 - 16*p**3\/33 - 19*p**2\/11 - 24*p\/11 - 67. Let x(u) = 0. What is u?\nAnswer: -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/(6\/30*5). Sort -40, -2, h in decreasing order.\nAnswer: h, -2, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 0.1, 0.2, -1, 11.\nAnswer: -1, 0.1, 0.2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-13 - -10) + -7 + 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 375 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 159666, 319273, 478880, 638487, 798094, 957701?\nAnswer: 1117308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -422 + 1156. Let g = u - -209. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 542, -288, -1662, -3580, -6042, -9048?\nAnswer: -12598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n**3 + 6*n**2 - 6*n + 7. Let k be u(-7). Let x = 2 + k. Suppose 4 + x = 2*j. Solve -z + j*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 4*x = 8594, -2*o + 8558 = 26*x - 31*x. Is 18 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-20 - -22)\/(2\/(9 - 1)). What is the second derivative of -22*a**3 + 5*a + 4 - w*a**4 + 5*a**4 - 3*a**4 + 5*a**4 wrt a?\nAnswer: -12*a**2 - 132*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4449 (base 12) to base 3\nAnswer: -101100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 375 - 361. Solve 5*p - d = 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**2 - 1235*k - 1317. Let n(v) = -10*v + 4. Calculate s(n(a)).\nAnswer: -100*a**2 + 12430*a - 6273","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -186, 3, -0.1, -4, -5?\nAnswer: -186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v**2 + 60*v - 109. What is f(57)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25 - 76*v - 25 + 79*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 364222 = 8*o - 51*o - 19123. Is -8917 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, p: 1, k: 3}. What is prob of picking 1 g and 2 k?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-28)\/21*(0 - 3). Suppose -3*z = -y*p - 36, 2*z + p - 20 = 5*p. What is the least common multiple of z and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(70)\/(sqrt(10)*2) + sqrt(63)\/(sqrt(18)\/sqrt(2)).\nAnswer: -3 + 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -35 + 39. Suppose 0 = 4*y + 5*q + 46 + 3, -u = -y + 2*q. Let z = 2 - y. What is the remainder when 31 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7913159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -17932797\/2 bigger than -8966400?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 81783.\nAnswer: 3, 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r\/(r*r**(-5\/12)\/r*r)*r*r**(-10) assuming r is positive.\nAnswer: r**(-103\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 3*m + 5*d, -3*m - 3 = 2*m + 3*d. Suppose m = f + 3*f - 96. Let q = 36 - f. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -4 + (8 - 3 - 0). Let z be 4 + (-7)\/l - -3*1. Solve 3*q + 14 - 2 = z, 4*m = -2*q + 12 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 34 - 24. Solve -2*t + 4*u = -10, 2*t = u + u + a for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -31 + 30. Sort 0, 3\/2, i in increasing order.\nAnswer: i, 0, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes before 10:21 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -8, 13.5, 3\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*i - 28 + 37 = 0. Let k be i - 2 - -6 - 9. Let p(q) = -q - 1. Let z(l) = 2*l + 1. Determine k*z(w) - 9*p(w).\nAnswer: w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -13 + 12 - u + 8*u**2 + 17*u**2. Let f be y(-1). Solve -f = 5*p - 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h - 3*h - 3*h. Factor 2*v**4 + 3\/2*v**2 + h + 1\/4*v + 3*v**3.\nAnswer: v*(2*v + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -3*u + u. Let g(j) = -j**2 + 2*j + 3. Let b = 3 - 0. Let m be g(b). Is u < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -14 - -14.1. Which is the biggest value?  (a) 3  (b) -3  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/6 - 29\/30. What is the third smallest value in h, 13, -0.2?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:53 PM and 10:46 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -7144a (base 12) to base 14\nAnswer: -3ba8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -2*j + 66. Let z be o(31). Suppose -25*h - 42 = -z*h. Let a(d) = -d**3 - 3*d**2 + 4*d + 1. Let s be a(-4). Put 21, s, h in descending order.\nAnswer: 21, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 100 * 1512563.\nAnswer: 151256300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -2*f + 23. Let n(g) = g - 22. Let z(j) = 4*n(j) + 3*x(j). Let i be z(-11). Solve 2*d + 7 = i*y, 5*d - 2*y = -7*y + 20 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 26*c**3*l*x**2 + 789*c**3*x**3 + 4*c**2*l + 6*c**2*x**3 + 209*x**3 wrt c?\nAnswer: 156*l*x**2 + 4734*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/3, -0.2, 30280, 1, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25201345?\nAnswer: 5, 13, 109, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8708 is divided by 344.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -4*g + 10. Let y(n) = -7*n + 19. Let p(l) = 5*j(l) - 3*y(l). Let b be p(9). Let u(q) = q**2 - 5*q**b + q**2. Let i(z) = 2*z**2. What is u(i(v))?\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - ((-54)\/(-30) + -3)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -9?  (a) 1\/5  (b) 3  (c) -4  (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.6152612 and 11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7.2 + 3.2. Let w = 708 - 4954\/7. Sort 0.4, w, -2\/9, g in descending order.\nAnswer: 0.4, w, -2\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.8699926 + 0.87. What is t rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60*g + 4*v = 58*g + 2252, -3*g - 5*v = -3373. Is g a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -529829 by -529829.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1607395*h*v**3 + 115885*h*v**2 - 5*h - 2*v**3 wrt v?\nAnswer: -9644370*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 63*j*l**2*r - j*l**2 + j*r - 19*l**2*r - l**2 + r wrt j?\nAnswer: 63*l**2*r - l**2 + r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 4*r. Let a(y) be the third derivative of -y**5\/60 + y**3\/2 + 4*y**2. Let h(g) be the first derivative of a(g). What is p(h(q))?\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3\/4, 0.06, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6133310, -12266628, -18399946, -24533264, -30666582?\nAnswer: -36799900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -g**3*k*t**2 - 6*g**3*k*v + 8*g**3*t**2 + 7*g**2*k*t - 2*g*k*t*v + 4*k*t**2*v - t**2 wrt g.\nAnswer: -6*k*t**2 - 36*k*v + 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 85 - 38. Suppose -2*b = -4*f + 74, 0*b + q = 2*f + b. Solve -4 = -2*r - 2*j, -2*r - 3*j = -4*r - f for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 90 and 396347190.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 24\/9 - 2\/3. Let o be 10\/(d\/2) + -6 + 4. Let k(m) = -m**3 - 9*m**2 - 8*m + 9. Let a be k(-8). Which is smaller: o or a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3539*n**3 + 4228*n**2 + 2*n - 8342223 wrt n?\nAnswer: -21234*n + 8456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -83\/32 and -61\/3190.\nAnswer: 51040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 8014 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 282 - -3452?\nAnswer: 3734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 174575512*t**3 + 69077169*t**2 wrt t.\nAnswer: 1047453072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w = -w - 5*y + 60, -2*y + 57 = w. Do 55 and w have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101010 (base 2) to base 16.\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-19)\/(-6)*3\/(-3). Let f = 7\/2 + b. What is the nearest to -2\/7 in 2, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-44)\/(-80)*5)\/(25\/(800\/6))?\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = 5*x - 16, -18 = 3*a - 3*x. Calculate the common denominator of (-290)\/(-36) + 2*-1 and (-96)\/10 + (-1)\/a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -2*t**2 - 48*t + 128. What is y(6)?\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**3 - 16*b**2 + 15*b + 8. Let g be t(15). Suppose 68 = -6*y + g. Which is greater: y or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z**3 - 3*z**2 + 3. Let j be i(-3). Let a be 2\/(j - (-33)\/(-9)). Let q(p) = p + 3. Let n(f) = -2*f - 5. Give a*n(b) - 5*q(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/15  (b) -2826  (c) 65  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1125)*-2)\/(sqrt(81)*1)*-3 + -3)**2.\nAnswer: -60*sqrt(5) + 509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = 3*j - 3, 0 = 5*j + 5*o - 3*o - 21. Suppose j*v = 4*v - 8. Let g(p) = -p**3 + 8*p**2 + 7*p - 3. Is g(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 0)*(4*r - 3*r - 4*r)*(-4*r**3 - 3*r**3 + 6*r**3).\nAnswer: -6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**2 - 1. Let c(q) = -6*q**2 + 3*q + 3. Calculate -c(n) - 3*x(n).\nAnswer: 3*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 2\/5  (b) -624  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -23?  (a) -1326  (b) -0.2  (c) -8.8  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l - 3*l = -4*a + 24, 23 = 5*a + 2*l. Suppose a*b - 6 = -0*b. Is (24\/b)\/(3\/2) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -24053 - -3125?\nAnswer: -20524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 68, 667, 2284, 5429, 10612, 18343, 29132, 43489?\n\"Answer: 85*f**3 - f**2 + 7*f - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 19464 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - 2 - (4 + -4 + 5 + -9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1111 - 10100?\nAnswer: -100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -46*j**3 + 2*j - 6. Let p(a) = 92*a**3 - 5*a + 13. Let z(m) = 4*p(m) + 9*r(m). What is the units digit of z(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 1, -91, -14618 in decreasing order.\nAnswer: 4, 1, -91, -14618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the second derivative of -5\/42*u**7 + 0*u**5 + 4*u + 0*u**3 + 0*u**6 + 0 + 0*u**2 - 1\/6*u**4. Find the third derivative of j(d) wrt d.\nAnswer: -300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 143235.4 millennia?\nAnswer: 14323540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -32997 (base 12) in base 10?\nAnswer: -67075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**3 + 3*f**2 + f + 1. Let k be q(-2). What is m in -4 - 2*m**k + 2 + 2 + 2*m = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 86444884 a multiple of 401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.3 - 0.4. Let g = -1045 + 10949\/10. Let x = -50 + g. Which is the closest to l?  (a) x  (b) -4  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - d - 15 = 0. Let v(x) = -d*x - 9*x + 3 + 1 + 2 - x**2. Is v(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by 55?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(sqrt(63) + sqrt(1575) - sqrt(63) - sqrt(63)))\/(1*sqrt(72)\/sqrt(8)))**2 + (-2*sqrt(84)\/sqrt(4))\/(sqrt(300)*1).\nAnswer: -sqrt(7)\/5 + 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -176\/7311?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) -12  (c) -6.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-60)\/(-72)*(-32)\/20.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v\/(v**2*v*v)))**(-3\/23)\/(v**6*v*v**(-1\/9)))\/(((v*(v**(3\/7)\/v)\/v)\/v)\/(v*v**(-2\/27)))**(-5\/2) assuming v is positive.\nAnswer: v**(-59354\/4347)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -172*m - 235*m + 13684 = -2189 for m.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6 - 12*y - 6*y + 14*y + 41 + (-4*y + y + y)*(-3 + 0 + 5).\nAnswer: -8*y + 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 2 v when three letters picked without replacement from {j: 2, v: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 650  (b) 5  (c) -0.1  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by 7851\nAnswer: 1\/7851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -13112 + 13331. What is the remainder when y is divided by 45?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.023154 + -20279334?\nAnswer: -20279334.023154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = 4*p - 536, -5*p - 23 = b - 149. Let n be ((-13)\/(-26))\/(8\/(-176)) - -19. Calculate the greatest common divisor of n and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6419 - 247. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-570)\/(-1596)*21\/(-50).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 723263.\nAnswer: 723263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 7 = 1. Solve 3*u + 6 = -2*h - u, m*u = 5*h - 21 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*m + 108 = 12*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -22 divided by 79581?\nAnswer: -22\/79581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -40\/891 and 173\/1386.\nAnswer: 12474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 4 - 1 = 0. Let f(i) be the third derivative of 3*i**4\/8 - 21*i**2 - 39*i. What is f(l)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1620231 + 0?\nAnswer: -1620231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 8 - 4 - 3 - 135*z to the form t*z + m and give t.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 279, 0, -3, -4, -7 in increasing order.\nAnswer: -7, -4, -3, 0, 279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 40*y - 5. Is z(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2 - 2*v**5 - v**5 + v**5 - 2*v**5 + (3*v**2 - v**2 - v**2)*(-v**3 + v**3 - 2*v**3) + 0*v**5 - v**5 + 0*v**5 - 2*v**5 - v**5 + 5*v**5.\nAnswer: -5*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-54336)\/32*(6\/4)\/(-1). Let y = f + -746. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*f**3*w**2 - 5*f**3*w*x - 2*f**3*x + 130*f**2*w*x**2 + 141*f*w - 13365*w**2*x**2 wrt w.\nAnswer: -8*f**3 - 26730*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(325) - 4*(sqrt(325)*-3)**2) + 5.\nAnswer: -11695 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 284 + -200. Let a be (-2)\/(-14) - (96\/w - 4). Factor -52\/3*y**a - 4\/3*y**5 - 16*y**2 - 16\/3*y + 0 - 8*y**4.\nAnswer: -4*y*(y + 1)**2*(y + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -41842 (base 15) in base 14?\nAnswer: -559c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nq when two letters picked without replacement from {n: 3, e: 1, q: 2, d: 3, p: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3)\/(36\/84) - -23. Solve -a = 13*f - 9*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 113*m - 8*z - 4 = 117*m, 3*m = z + 18. What is the remainder when 11\/1*1\/1 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-3))\/(15 - 16).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = 2*m + 3*b, -4*m - 42 - 6 = 5*b. Is -31*(-5)\/((-5)\/m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 18 - 9. What is the least common multiple of 10 and a?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*l**2 - l**2 + 2*l**2)*(72 - 153 + 70)*(l**2 - 2*l**2 - 2*l**2).\nAnswer: -99*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + h = 0. Let n = -4 - -3.95. Let k = -5.05 - n. Which is the smallest value?  (a) h  (b) 5  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 8 = -q - 5, -15 = -x + 3*q. What is the second derivative of -383*y**x - 38*y - 17*y**2 + 384*y**3 + 52*y**2 wrt y?\nAnswer: 6*y + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 18, -21, 3, -1, 1387, 0.\nAnswer: -21, -5, -1, 0, 3, 18, 1387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 2*i**3 - 7*i**2 + 2*i + 5. Let x be t(3). Let v be x*((-9)\/2 - -3). Calculate the common denominator of 11\/2 and (v\/(-72))\/(32\/216).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 398175326 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 118515746?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1487477343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -176704994.000013 + 176704855. Let s = 139 + j. Round s to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 24\/11 - 164\/55. Let d = -16 + 26. Let y = d + -5. Sort y, -0.3, l in descending order.\nAnswer: y, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 2*h**2 - 23*h + 25. Let q(k) = k**2 - 11*k + 13. Let r = 65 + -52. Let x(w) = r*q(w) - 6*p(w). What are the prime factors of x(10)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:56 AM and 4:43 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4a74db98 - -4?\nAnswer: -4a74db94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = -5*l - 735. Let a be ((-20)\/3)\/((-28)\/462). Let g = a + l. Solve p + 1 = g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*u**2 - 145*u + 983*u**3 + 2 + 145*u + 3*u**2.\nAnswer: 983*u**3 - 2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -335 + 355. What is the highest common factor of 100 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2823, 2830, 2823, 2796, 2743, 2658, 2535?\nAnswer: 2368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 233 = -d - 3*b + 229, -10 = 5*d + 5*b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*n**3 + 989*n - 989*n - 14*n**3.\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 21 - 21.9. Let h = a + 0.8. What is the second smallest value in -0.2, 0, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -673 = -3*j - 0*j - x, -x - 1135 = -5*j. Calculate the remainder when j is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5, 17, 37, 65, 101, 145, 197?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 124 divide 126056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/((-4)\/2) - -2. What is the second derivative of -5*s - 7*s**g - 2*s + 0*s + 2*s**4 wrt s?\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 + (-80 - -179) + -139.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0034601793 rounded to four dps?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -2404897*k**2. Let h(x) = -8*x**2. Determine p(h(d)).\nAnswer: -153913408*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 140\/1177 - 3\/107. Which is the smallest value?  (a) i  (b) 8  (c) -5  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 8*z**2 - 6*z - 35. Let h(x) = -3*x**2 + 2*x + 12. Determine -11*h(b) - 4*u(b).\nAnswer: b**2 + 2*b + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, m: 1, t: 2}. What is prob of picking 2 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -543 - -562. Suppose 0 = -b*f + 2*f - 408. Is f > -68\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3721 = -c + 1312. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 472 is divided by 7 - ((-10)\/3 + 3)\/(9\/3348).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 30 = -w. Suppose -49*f + 480 - 39 = 0. Which is smaller: w or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3580 and 126220060.\nAnswer: 3580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1.13  (b) -1\/2  (c) 7  (d) 2\/9  (e) -4  (f) -84\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 103157\/16 - 6441. Find the common denominator of z and -51\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**3 + q**2 + 36*q - 35. Give g(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*j + 359*j = -71*j - 13*j - 56160 for j.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 248, 7.8, -2, -1.87?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**20\/(d*d**(2\/21)\/d*d))\/(d**(1\/8)*d)**(-1\/32))**(14\/9) assuming d is positive.\nAnswer: d**(101821\/3456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3\/16, -2\/17, -3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1735 and 7634.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2640*o**2*t**2 + 2*o**2 + 466*o*t**2 + 4*t**2 wrt o?\nAnswer: -5280*t**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 2*v + 8. Let c(m) = 5*m + 6. Let z(y) = 27*y + 30. Let i(t) = 11*c(t) - 2*z(t). Let r(p) = -4*i(p) + 3*n(p). Let h(g) = -18*g. Give r(h(j)).\nAnswer: -36*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4*m**3 + 2*m*q + 2*q - 75 wrt m?\nAnswer: 12*m**2 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 49229122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 358777?\nAnswer: 19, 23, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 242 and 352?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaazhhhaahzaa. What is prob of sequence zaa?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-2)*o*o*(o\/o**(-5))\/o*o)\/((o**(-2\/23)\/o)\/(o\/o**(-7\/4))) assuming o is positive.\nAnswer: o**(905\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**2 + 337*b - 4550.\nAnswer: (b - 13)*(b + 350)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 6, 85, 7118, -3\/8, 1?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 218*v + 32593*v**3 - 32591*v**3 - 218*v.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t + 4 = t. Let u = 7 - t. Suppose 5*o = u*j + 29, -2*j - 2*o = 4 - 6. What is the third biggest value in 4, j, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 2 + 2*(sqrt(162)*-5 + sqrt(98)*-2)**2*5.\nAnswer: 69626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**3 + 15*b**2 - 16*b - 20. Let d(w) = -w**3 - 15*w**2 + 16*w + 20. Let f(v) = 5*d(v) + 4*h(v). What is the units digit of f(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*v**2 + 0*v**2 - v**2 - 30*v - 3*v**2 as z + u*v + m*v**2 and give u.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.82 + -1.82. Let r = m - -3. What is r rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 2*u**2 - 29*u + 26. Calculate h(13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6394003 is divided by 1039.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 954 * 0.035953.\nAnswer: 34.299162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -18121 bigger than -18121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 16927426 divided by -546046\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 6*w - 2. Let q be b(2). Suppose -q*v + 26 = -4. Factor -v*r**2 + 13*r**2 + r**2 - 35 - 6*r**2 + 30*r.\nAnswer: 5*(r - 1)*(r + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 66\/(-2079)*-45*(-14)\/3*(-3 + -3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.2065058 rounded to 3 decimal places?\nAnswer: 4.207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**2 + 3*x + 1. Let i be b(-6). What is the tens digit of i\/(-3 + 1 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44067 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 16\/3  (b) -14  (c) 19\/13  (d) -1.1  (e) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 289417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 529, 268, -155, -734, -1463, -2336, -3347?\nAnswer: -4490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-50 - -5) + 25 - 101 - -17?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -24*f + 1\/2*f**2 + 47\/2 = 0. What is f?\nAnswer: 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2 + (-199 + -6)*2\/(-10). Let h = -16 - -40. Let z = w - h. Which is smaller: 14 or z?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnuulunnnuuuunnnuuu. What is prob of sequence uuu?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6790 - -6798. Suppose -3*u + 17 = t, -2*u + 29 = 5*t - u. Solve f = 2*k + 2*i, -9 + 1 = -t*k - i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**2 + 4*p. Let j be h(4). Suppose i + j + 17 = 3*c, -i + 13 = 3*c. Find the common denominator of c and 69\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:32 AM and 6:22 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5441.0735 + 9.6265. Let p = -5117 + c. Round p to the nearest ten.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 4, q: 3, k: 8, o: 2, j: 2, w: 1}. What is prob of sequence qako?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate h*m + 71309*h + 35694*m wrt m.\nAnswer: h + 35694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-22)\/(-6) - (8 + -4). Let c = 0.12 - -4.88. What is the nearest to 1 in c, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1b (base 12) to base 7.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 62363\/7425 - -7\/7425. Suppose -27*s**3 + 0 + 21\/5*s**5 - 48\/5*s**4 - t*s**2 + 24\/5*s = 0. What is s?\nAnswer: -1, 0, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 69786708.8 and 1.16.\nAnswer: 69786709.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 9 = -33. Let a be 22\/k + 9\/(-36). Is 44 + a + 0 + 1 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10346168 and 616?\nAnswer: 113807848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 4*m - 3. Let q(v) = -3*v + 4. Let z be q(5). Let i be b(z). Let r = -27 - i. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = 2*s - 19, -3*s + 45 = -4*y + 2*y. Let d(k) = k**3 - 19*k**2 + 38*k + 32. What is the smallest common multiple of 40 and d(s)?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 2*n + 8. Let r be p(6). What is the greatest common factor of r and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12 - 41*k**2 - 20 + 60 - 15 - 13.\nAnswer: -41*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the first derivative of 2457*f**5\/5 - f**3 + 220*f**2 + 1306. Find the third derivative of i(d) wrt d.\nAnswer: 58968*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the first derivative of b**5\/20 + b**4\/2 - 21*b**3\/2 - 31*b**2\/2 + 2*b - 169. Let c(a) be the second derivative of t(a). Factor c(q).\nAnswer: 3*(q - 3)*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3016)\/6786 + (-31)\/(-252) - (0 - 12\/21)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 63469955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lllw when four letters picked without replacement from {w: 2, l: 6}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2450739, -2450728, -2450703, -2450658, -2450587, -2450484, -2450343, -2450158?\nAnswer: -2449923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 7\/1328?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 42 and 52.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 32 + 4. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/4, -1, -1.81, 4\/3 in ascending order.\nAnswer: -1.81, -1, 1\/4, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 57325.29 and -0.1?\nAnswer: -5732.529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 458619048 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41097*o - 7*o**2 + 2 + 11*o**2 + 41097*o.\nAnswer: 4*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in twenty-seven fifths of a micrometer?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f**3 - 4*f**2 + 6*f + 3. Let m be i(-5). Let l(w) = -6*w**2 + 140*w - 44. Let x be l(23). Put 3, m, -20, x in descending order.\nAnswer: 3, x, m, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 82*y + 151. What is the remainder when 1202 is divided by v(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:41 PM and 11:48 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 307*s + 29148. Calculate v(-95).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve y = 5*w + 12, 10041*y - 10039*y - 3 = 3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - 0.300627862?\nAnswer: -1.300627862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -92732291, -92732293, -92732295?\nAnswer: -92732297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p = 4*n - 0 + 1, 4 = 2*p - 2*n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -16*a - 1. Let g be b(-1). Suppose g = z + 4*z. Suppose 2 + 3*m + z*m**2 + 1 - 3*m**3 - 3 - 3 = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 3*r + 1. Let t be x(4). Suppose -2*i + i = 5*a + t, -i - 3*a = 7. What is the derivative of i + 4 - 4 - 8*m + 11*m wrt m?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 times -27.4?\nAnswer: -191.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 2*f + 6 = -14, 2*f = -5*w + 43. Let u = 11 - w. Put u, 3, 1 in increasing order.\nAnswer: 1, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l - 3. Let u be m(6). Let q = -120069 + 840485\/7. Factor -6\/7*c**u - q*c + 6\/7*c**2 + 2\/7*c**4 + 0.\nAnswer: 2*c*(c - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001764776 to five decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the first derivative of -g**4 + 4*g**3\/3 - g - 8633. Let x(j) = -8*j**3 + 7*j**2 - 1. Give 5*n(q) - 3*x(q).\nAnswer: 4*q**3 - q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes after 6:50 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 4*u**2 - 6*u + 5. Let c(x) = -5*x - 71. Let s be c(-16). What is the tens digit of w(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2844 and 11844?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, o: 1, p: 1, s: 2}. Give prob of picking 1 p and 1 f.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -123041 = -32*x + 160191. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**3 - 38*v**2 - 141*v + 3997. Determine r(39).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3\/31 + -489\/248. What is the nearest to -0.2 in 0.7, o, -5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + sqrt(130)\/(5*2*sqrt(10)))*-6)**2.\nAnswer: -36*sqrt(13) + 22617\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 39205157, 39205164, 39205175, 39205190, 39205209, 39205232, 39205259?\nAnswer: 39205290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7282?\nAnswer: 2, 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -17 - -17. Suppose -15 = 5*z, 0*n - n - 3*z - 7 = b. Solve 2*c + 5 = -j - 0*j, -n*c = 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15 - -11. Let x(j) = j**2 + 409*j + 3 + 2 - 8 - 405*j. Give x(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-4\/9)\/a*a)\/a**(-3\/5)*a**(-1\/7)\/(a*a*a**(5\/6)) assuming a is positive.\nAnswer: a**(-1777\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d**2 + 6*d + 2. Let l be h(7). Let x(k) = -k**2 - 7*k - 8. Let f be x(l). Solve -n = -f - 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4\/3, -2\/295, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1668174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 36\/35 + ((-72)\/280)\/(15\/25). What is the closest to -3\/2 in d, -0.3, -9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 2*m = n - 18, -4*n + 4*m = -32. Suppose 3*r - n*y = -12, -5*y = -r - 0*r - 12. Let t be 0\/5 - r\/79. Is -1 less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in k + 148*k**2 - k + 11*k**2.\nAnswer: 159*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 21690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10, 50, 162, 382, 746, 1290, 2050, 3062?\nAnswer: 4362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 - -4. Suppose 0 = -c + k - 42, -h*c - 2*k = c + 192. Let n = -27 - c. What is the remainder when 55 is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 34852 - 23552. What is s rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.5 and -6047.\nAnswer: -3023.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tujf when four letters picked without replacement from fjfufftfffufff.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -17 - 32 + v**2 - 171*v + 201*v wrt v.\nAnswer: 2*v + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -25760 (base 8) to base 9\nAnswer: -16377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -g. Let x(l) = -l - 13. Give h(x(n)).\nAnswer: n + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 1 m, and 1 d when three letters picked without replacement from {z: 2, y: 1, d: 1, p: 2, m: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -70 - -43. Suppose -6*v = 113 + 205. Let k = h - v. Is k a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9 - 7. Let r = 18.9 + -13.9. What is the third biggest value in -5, -1, n, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 52753 (base 8) to base 16\nAnswer: 55eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-130)\/1950*39*((-15)\/(-5))\/3?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 75.45901nm in centimeters?\nAnswer: 0.000007545901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by 30427.\nAnswer: -4\/30427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 5*x - 4*x. Let n be (6 - -2)\/(-2 - x). Solve -n*b + b = -6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/30 of a hour?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 9834.781099 to 1 dp.\nAnswer: 9834.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -3114005.712 rounded to the nearest 100?\nAnswer: -3114000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -0.049 * 1710.02\nAnswer: -83.79098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 5*d + 62 = 0, -3*p = -4*p - d + 34. Suppose 5*k = p - 16. Find the second derivative of 17*z - 19*z**k + 23*z**4 - 20*z**4 wrt z.\nAnswer: -192*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11913 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a week in minutes?\nAnswer: 52920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7942)\/(-26))\/19 + 28\/(-364)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -3873080, -3873095, -3873110, -3873125?\n\"Answer: -15*s - 3873065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5105 (base 6) in base 8?\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 690\/(-8) + (-24)\/32. Let z = w + 123. What is the lowest common multiple of z and 6?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 600663*v - 2. Let b(z) = -z. Give t(b(w)).\nAnswer: -600663*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*q + 18*q + 16 = 0. Let p(d) = -17*d**3 + 2*d**2 + d + 1. Let a be p(-2). Suppose q*x - 5*x = -a. List the prime factors of x.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.042857*-2\nAnswer: -0.085714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.130861 rounded to three dps?\nAnswer: -0.131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 + -2. Let o be (-6)\/16*s\/3. Let h be (-177)\/66 + (-10)\/(-55). Which is the nearest to 1?  (a) o  (b) h  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -2*t**3 + 59*t**2 + 108*t - 3999. Give d(29).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/7?  (a) 43  (b) 0.5  (c) -1824  (d) 1  (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the first derivative of m**3\/3 + 3*m**2\/2 + 38. What is c(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -108841875\/4 or -27210469?\nAnswer: -108841875\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -2*x - 12. Let h be s(-8). Suppose 0 - 2 = j, -p - 2 = h*j. Suppose 0 = p*o - o - 320. What is the highest common factor of 16 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 27.2 + -27.4. Suppose -5*g + 0 = -2*n + 23, 4*g + 4*n = 4. Which is the closest to -0.5?  (a) g  (b) q  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 695164269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -12.8, 2\/3, 48, 2\/7, 2, 3?\nAnswer: -12.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z = 4*z. Suppose -5 = -r - z, 59 = 3*p - 5*r. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6 + -3. Suppose 3*h - 18 = -u*n - h, 4*h - 4 = 4*n. What is the remainder when 2\/8 + 11\/4 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 85 - 175 = -18*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 7 - 7 - 32*w.\nAnswer: -32*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 5334 (base 7) to base 9\nAnswer: 2526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 23824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(2100) + 4*(sqrt(42)\/sqrt(2) - sqrt(21)))\/((sqrt(315)\/(sqrt(54)\/sqrt(6)))\/(1*sqrt(125) - sqrt(5))).\nAnswer: 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**2)**(-15\/4)\/(y\/y**0)**(1\/6) assuming y is positive.\nAnswer: y**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 3*k + 29*k - 17*k)*(-4 - 10 + 17 - 37 - 35).\nAnswer: -1035*k + 345","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1816 + 1943. Calculate the remainder when 760 is divided by j.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -20573*h**2 - 91*h + 89. Let k(p) = -2*p**2. What is i(k(a))?\nAnswer: -82292*a**4 + 182*a**2 + 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 39.017 - 39. Let k = -2.017 + i. Which is the smallest value?  (a) k  (b) 2  (c) 2\/7  (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes after 2:10 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -14b9 - -3?\nAnswer: -14b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (6\/14)\/(-3*1) and 42\/73.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 99 = 41. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*q = -2*k - 84, -5*q + 13*k - 28*k + 9*k = -39 - 8 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 4*254742.52\nAnswer: 1018970.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(((-1)\/1)\/((-30)\/10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 304 minutes after 7:42 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 6 = 4, -2*k - 23 = 5*b. Let n(x) = -14*x - 295. Let y be n(k). Let d be 4\/(-2) - (0 - 125). What is the highest common factor of d and y?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 4, e: 5, z: 6}. What is prob of sequence eezz?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 25610045 to the power of 1\/2, to the nearest integer?\nAnswer: 5061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3805416, -3805420, -3805428, -3805440?\nAnswer: -3805456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b + 7 = 5*f, -587*f + 1174*f = 588*f - b - 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (5\/15)\/(2\/12). Suppose b*g + 3*g = -4*w - 797, 3*g = -3. What is the tens digit of (w\/30)\/((-1)\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -33*((-3)\/6 - (-10)\/12) + -24?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*-2*sqrt(363))**2.\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the first derivative of 25 - 1\/5*h**3 + 3\/20*h**4 + 0*h - 3\/10*h**2 + 3\/25*h**5. Suppose t(y) = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 32716704 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -370 - 3*i**2 + 193 + 177.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.11 - -4.11. Let z = 16.93 - -0.07. Let s = 12 - z. Sort t, s, 1.\nAnswer: s, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 18 = -6*v. Suppose h - 26 = 3*z - v*z, -5*h + 70 = 3*z. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/6*-3*(1 + -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1780 is divided by 822.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 22*o + 1218. Let n be l(-55). Sort n, 0.1, 1\/3, -0.4 in descending order.\nAnswer: n, 1\/3, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -2*i**3 + 13*i**2 - 12*i - 4. Let v be j(5). Solve -3*n + 2*w - 1 + 0 = 0, n + 2*w + v = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 4 = 2*y - 3, 3*y = -2*g + 18. Suppose 4*a + 8 = y*a. Suppose a*w = -4*f + 446, -2*f + 3*w = -134 - 85. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iie when three letters picked without replacement from {l: 10, i: 2, e: 3, b: 3}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -5*r, r + 27*d = 25*d - 8. Let c = 2 + -4. Let k be (c - -4)*10\/4. Solve r*h + 3*h = k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*k**2 + 741640*k - 27501494480 = 0. What is k?\nAnswer: 74164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10, 16, 24, 34, 46, 60, 76?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.47057134 and -2.4.\nAnswer: -2.87057134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1684 and 2105?\nAnswer: 8420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -6*p**2 + 0*p**2 - 27*p + 5*p**2 - 9 + 19*p. Suppose 5*i = i - 20. Let a be v(i). Let w(j) = j**3 - 6*j**2 + j - 3. What is w(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f**3 - 45252*f**2 - 43390869*f - 43345620 = 0.\nAnswer: -14055, -1028, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 281, 283, 285, 287, 289, 291?\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5212?\nAnswer: 2, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 429306 divided by -6.\nAnswer: -71551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 59 - 50. Let y(h) = 404*h - z*h**2 + 67*h**2 - 404*h. Let l be y(1). Round l to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5807 or -5808?\nAnswer: -5808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -2127.89 rounded to the nearest ten?\nAnswer: -2130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6465 and 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by -1116?\nAnswer: 5\/1116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**4 + 10*x**3 - 29*x**2 + 20*x.\nAnswer: -x*(x - 5)*(x - 4)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 49449\/8 or 6180?\nAnswer: 49449\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 1618 = -2*z - r, -3*r - 4077 = -5*z. Let m = z - 451. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 346241875 to the power of 1\/2, to the nearest integer?\nAnswer: 18608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 21654, 43422, 65178, 86916, 108630, 130314, 151962, 173568?\n\"Answer: -l**3 + 21775*l - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 13 - 7. Let c be -2*2 - (-14 + -2). Find the third derivative of -6*k - 5*k**6 - k**2 + c*k**d + 6*k wrt k.\nAnswer: 840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1332 and 120.\nAnswer: 13320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 65 a factor of 12337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4.31 - 0.79. Let h = 5.2 + u. Is h != -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -154741?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.6093 - -0.1093. What is the biggest value in -8\/15, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 15 - 13. Suppose 5*g + 17 - x = -2*t, -5*t - g = -20. What is the greatest common divisor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6*(2\/(-16))\/((-10)\/10)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2 + (5 - -3 - (-1 + -4 - -8)). Solve 5*w - 5*a = -15, -3*a = -5*w - 4*a + s for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h - 3*h = -4*l - 2, -h - 6 = 4*l. Let v be -11 + 15 - (-4903 - (-1 + h)). Suppose v = 5*i + i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(343) + 2 + 4 - (3 + sqrt(252) - sqrt(28)\/sqrt(100)))**2.\nAnswer: 246*sqrt(7)\/5 + 11992\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 160117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 137\/1164 and -163\/32010?\nAnswer: 64020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tet when three letters picked without replacement from eeeeetleeeeeellet?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 10*i - i - 27 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*s + 27 + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 113022 - -202?\nAnswer: 113230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence il when two letters picked without replacement from {c: 2, q: 5, i: 1, p: 6, l: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1404, -11037, -37182, -88095, -172032, -297249, -472002?\nAnswer: -704547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -144 + 507.\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 682 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -194377119*q**5 + 91216*q**2 + 88*q + 2 wrt q?\nAnswer: -11662627140*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16*w**2 - 5*w**2 + 12*w**2)*(-7*w + w + 4*w) + 7*w**3 - 10*w - 29*w**3 + 8*w.\nAnswer: -68*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3209 * -0.3.\nAnswer: 0.09627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 1\/20 of a kilometer?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 19\/379?\nAnswer: 19\/379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 981.5269ml in litres?\nAnswer: 0.9815269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 24 + 59 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - u - 1763 = 0, 1071 = 8*q - 5*q - 5*u. What is the greatest common divisor of q and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -9  (b) 4  (c) -4  (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -1.86*3\nAnswer: -5.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 13, 3, 1, -30, -10 in decreasing order.\nAnswer: 13, 3, 1, -1, -10, -30","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate 776\/30555*9*1*5.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -8 - (18 + (-45 - (23 - 16)))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-256)\/(-640))\/((-72)\/(-10)).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**3 + 22*k**2 - 65*k - 598. Calculate v(11).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24024 and 147056.\nAnswer: 4852848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (l + 4*l - 3*l)*(-l + 4*l - l) - 8 + 20 + 8*l**2 - 11 to b*l + p*l**2 + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 67356 = -2*q, -2*f = -3*q - 3*f + 101035. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**2 + 407. Let c(w) = 102. Determine -9*c(k) + 2*r(k).\nAnswer: -2*k**2 - 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (((-50)\/(-8))\/(-5))\/(2\/232). Let c = g - -147. What is the nearest to 0.13 in c, 5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m**5\/11 + 2690*m**4\/11 - 57224*m**3\/11 + 202936*m**2\/11 + 95424*m + 786816\/11 = 0 for m.\nAnswer: -1366, -2, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 119 and 70.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 344937786 or 344937787?\nAnswer: 344937787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*n + 31*n + 798 = 42*n. Calculate the remainder when 1812 is divided by n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1000100000001011 + -10001?\nAnswer: -1000100000011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 3*r + 2*r**2 + 0*r - 3*r. Let z(o) be the second derivative of 46*o + 0*o**2 + 0 + 5\/3*o**3. What is z(v(w))?\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9 or -1961\/227?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2273236087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-51*c + 2509 - 2509)*(16*c + 64 - 64)*(-c + 3*c - 1 - c) as g*c + o*c**2 + h*c**3 + f and give h.\nAnswer: -816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -5*q. Let a be n(-2). Suppose m + 498 = 7*m. Let j = m - 13. Calculate the highest common divisor of a and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(19) - 2*sqrt(19)) - 1*sqrt(1900))**2.\nAnswer: -22*sqrt(19) + 2300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -378, -4, -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.5929 + -0.55. Let i = 2540.6249 - 2541. Let s = i - x. Round s to two dps.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11679 - 11679. Solve -4*v - 4 = x, 3*b - 2*v = b + 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.05 + -4276789127?\nAnswer: -4276789128.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.653 + 137.353. Let l = z - 136. Let a be (-1 + -12)\/(2\/4). Put 0.2, l, a in increasing order.\nAnswer: a, l, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 115910 + 6254*h - 175*h - 115910.\nAnswer: 6079*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 + 7\/8. Suppose 3*m = 4*d - 47 + 7, 3*m + 42 = 3*d. Let g(x) = -x**2 - 16*x + 1. Let w be g(m). Which is smaller: w or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1307, 1307, 1295, 1265, 1211, 1127, 1007, 845?\nAnswer: 635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5419 is divided by 104?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(6\/(-27)*60))\/((-108)\/(-60))\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -o - 4*o. What are the prime factors of o*4 + 2 + -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 600 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 684\/(-16 - -28) - 5*2. Which is smaller: r or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the third derivative of -5*b**7\/42 + 4*b**5\/15 + 21*b**2. Find the third derivative of j(i) wrt i.\nAnswer: -600*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x**2 - 14*x - 13. Determine u(14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1094852?\nAnswer: 2, 11, 149, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -196 = -13*n - 235 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2021026, -0.1, -0.2 in increasing order.\nAnswer: -0.2, -0.1, 2021026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 6780 divided by -452\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -278043539*g**2 - 918555519 wrt g.\nAnswer: -556087078*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3387*p - 43500 = 1887*p for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 0  (b) -2  (c) -2\/135\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -25*407\nAnswer: -10175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 160 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the first derivative of o**4\/4 + 79*o**3\/3 + 1505*o - 1858. What is the derivative of y(b) wrt b?\nAnswer: 3*b**2 + 158*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -533, -12 in decreasing order.\nAnswer: -3, -12, -533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 218, -2, -5, 18, 6315 in increasing order.\nAnswer: -5, -2, 18, 218, 6315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 5*a + 5. Solve -a = 3*z - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1318, 5235, 11802, 21049, 33006, 47703, 65170, 85437?\nAnswer: 108534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 86077.85l to millilitres.\nAnswer: 86077850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 115 = -3*v + 3*m, 3*m = -5*v + 237. Let k be 11\/((-110)\/(-48)) + (-5)\/(-25). Suppose 10 = o - 2*r + 4*r, -5*o = k*r - v. Is o even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4446 is divided by 103?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 22596737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 479*v = 314*v + 660 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*o + 5*o + 4*v + 4, -36 = -3*o + 8*v for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the third derivative of 3\/20*s**5 - 5\/6*s**3 + 0*s - 41*s**2 + 0 + 0*s**4. Find the first derivative of j(t) wrt t.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 294629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = r + 10, 0*r + 2*r - 10 = 2*u. Let x be (3 - -1 - r) + 5. Solve 7 = 2*k - 5*i, k - 5 = -3*i + x*i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 57\/28 and 23\/7014.\nAnswer: 14028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rx when two letters picked without replacement from {r: 1, h: 5, n: 2, x: 8}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.46 + 0.06. Let j = -59\/2 + 30. What is the second biggest value in j, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2417.\nAnswer: 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 75265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7281 + -7278. Let x(g) be the third derivative of 0 - 1\/270*g**5 + 17*g**2 + 5\/108*g**4 - 4\/27*g**w + 0*g. Suppose x(s) = 0. What is s?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/56 and 59\/48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d + 3178. Let j(h) = 14*h**2 - 4. Calculate b(j(v)).\nAnswer: 14*v**2 + 3174","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 4*v + 8*v = -9964, 2 = -2*v. Is q a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 417837 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 306439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 94*q**2 + 13*q - 82. Let l be s(8). Let a = l + -1921. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34636723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -3\/4, -17, -2\/7, 0.6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3124 and 568.\nAnswer: 6248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 0 + z - 2 - 2*z. Let c(m) be the third derivative of -m**4\/8 - m**3 - 3*m**2. Determine 2*c(x) - 7*w(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in o**3 - 844*o**2 - 2*o + 237*o**2 + 294*o**2 - 6*o + 313*o**2.\nAnswer: o**3 - 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-4 + (sqrt(847) + (sqrt(847)*-1 + -5 - sqrt(847)))*-3 + 2 + 4*(sqrt(847) + (0 + sqrt(847))*1))**2.\nAnswer: 12584*sqrt(7) + 410624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/4020 and 187\/4020.\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3*2\/8*4. Suppose k*l = 7 - 1. Suppose -4*i - 2 + 10 = 0. Solve 3*p + 3 = 0, -2*q + i*p = -q + l for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.3  (b) 0.1891  (c) 0  (d) -4  (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 4, q: 2, o: 1, h: 1}. What is prob of sequence eo?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/3*225\/(-6). Let d = -16 - w. Suppose 0 = 2*h + 3*h + n - d, -n + 4 = 0. 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: Let c(g) = -g**2 - 5*g - 2. Let m = -6 + 1. Let s(o) = 9*o + 1 + o**2 - 2 - 1 + 5. Give m*c(p) - 3*s(p).\nAnswer: 2*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 239 + -168. Suppose -2*u - 5*t = -11, -u - 1 = 2*t - 7. What is the remainder when f is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 65865941989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32692066.\nAnswer: 2, 11, 1486003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 18 - 7 = 0. Suppose 0 = 4*t - 2*l - 0*l - 28, w*t = -4*l + 22. Let a be 15\/6*t\/15. Solve a = -3*o - 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(228)*3)\/sqrt(6) - -1*3*sqrt(38))\/((sqrt(192) + -2*1*sqrt(192))\/sqrt(6)).\nAnswer: -9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (58*j - 14*j + 11*j)*(1 - 5 + 2)*(-17 + 24 + 16) as w + x*j and give x.\nAnswer: -2530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the third derivative of q**5\/20 + 29*q**4\/24 - q**3\/3 + 2*q**2 + 24. Is 10 a factor of f(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2457503 rounded to 3 decimal places?\nAnswer: 0.246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 232231 to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -39778, 2, 0 in ascending order.\nAnswer: -39778, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 1431*a + 131640. Calculate q(-92).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 10*(2 - (0 - -1)). Let i be (v\/20)\/(1\/2). Calculate the greatest common factor of 1 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 18850?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (175\/600*12)\/77.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ggssssgsgssgssgssgs. What is prob of picking 3 g?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -2*k - 2*l + 10, k - 2*l + 2 = 0. Suppose -y - 2*y + 15 = 2*m, 2*y - 21 = -5*m. Factor -10*d - m*d**2 + 12*d - 6*d + 2*d**k - 4.\nAnswer: -(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.62 - -0.92. Let x be (-91)\/(-77) - (0 - -1). Which is the biggest value?  (a) x  (b) o  (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*o + 11*o - 2 = -2*w, -o + 5*w - 16 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13329 - -13337. Let r(o) be the second derivative of o**4\/12 - 7*o**3\/6 - 7*o**2 - 2*o. Determine r(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(96)*1*-2 - ((sqrt(96) - 2*2*sqrt(96)) + sqrt(96)))\/(sqrt(16)\/sqrt(2)*3 + sqrt(64)\/sqrt(32)))**2*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10514 and 1199347.\nAnswer: 16790858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3410 divided by -615?\nAnswer: -682\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 41428 = -7*r + 124643, -23790 = -2*r - 2*x. List the prime factors of r.\nAnswer: 2, 5, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/16*(-15)\/((-150)\/8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -15.3 - -13.5. Which is the closest to 2\/5?  (a) 0.1  (b) 5  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -897, -1808, -2719, -3630?\n\"Answer: -911*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14.42 - -13.8. Let s = 0.6112 + q. Round s to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 28*t**2 - 2*t**3 - t + 41*t**2 - 57*t**2 - 2*t**4 + 5*t**4 + 1 to z*t**3 + c*t**2 + l*t + n*t**4 + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2\/437089 - 1344922883\/6556335. Let x = y - -205. Let v = 0.1 - 0.3. What is the biggest value in -5, x, v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 127 - 123. Suppose -5*h - 4*a = -186, 0 = -3*a + m*a - 4. Let n = 0 + 7. Calculate the remainder when h is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) -4  (b) -2\/7  (c) -0.0511  (d) -2  (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the second derivative of y**4\/12 - y**3 + 5*y**2\/2 + 6*y. Suppose -4*f = -2 - 2. Let q(h) = h - 1. Let l(k) = f*j(k) + 3*q(k). Factor l(d).\nAnswer: (d - 2)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -181\/99 + 25\/11. Let m = 27544289536 - 1145043660527369\/41571. Let l = m - 2\/4619. Find the common denominator of l and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -3*a + a, 0 = -3*a - 9. Solve 2*g - 3 = -0*g + 5*l, -5*g = w*l + 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from hmmmmhhhmh.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**3 + 15*y**2 - 17*y + 71. Determine j(-17).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 0, -1 in descending order.\nAnswer: 6, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b**2 + 38*b - 112. Let q be d(32). Calculate the greatest common divisor of 16 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -5*k - 18. Let s = k - -7. Factor 0 - 1\/4*r**s + 0*r.\nAnswer: -r**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 316616, 316297, 315978?\n\"Answer: -319*o + 316935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the third derivative of o**4\/12 + 11*o**2 + 27*o. Let w = -10 - -5. Let l(y) = -23*y**2 - y. Let a be l(1). Let h(c) = -9*c. Give a*v(n) + w*h(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 10823982 and 7701.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 2.509912 centuries?\nAnswer: 0.2509912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -308.09 rounded to the nearest 10?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2 - (-16)\/(-10) - 8466\/(-510). Solve -f*u - 4*a = -16*u + 21, -u = -4*a - 19 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:58 AM and 1:37 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.8 - -2.4. Let z = v + -1.67. Let p = z - -0.07. Which is the nearest to -0.1?  (a) -2  (b) p  (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 328 greater than 0.069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) 15  (c) 1\/452  (d) 8  (e) 0  (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (23 - 5 - 6 - 0) + (-1 - 38).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/15 - (-18)\/90?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -5 - (22\/10 + -5)\/(56\/980). Let p*y + 40\/3*y**2 + 4\/3*y**3 + 48 = 0. Calculate y.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 57\/6 - (-1)\/(-2)*-1. Suppose 21*l - 23*l = -y. Suppose -3\/2*h**4 - 3\/2*h**l + 3\/2*h**3 + 0*h + 3\/2*h**2 + 0 = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80*h + 99*h + 1616 = -23*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -164*f - 173*f - 114*f.\nAnswer: -451*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 13 - 16. Let d = -3 - b. Let y(i) = -i**2 + 2*i + 27. List the prime factors of y(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1826 + -1823. Solve -4*q = -w*a - 5, q = -4*a + 6 - 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sc when two letters picked without replacement from {c: 7, s: 12}.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 1 x when three letters picked without replacement from {t: 3, l: 6, x: 6}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -12416 and 131.\nAnswer: -1626496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -25*s**3 - s**2 - s. Let m(f) = -7 + 1 + f + 0*f. Let a be (14\/6)\/((-42)\/(-90)). Let n be m(a). Calculate t(n).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the third derivative of -i**6\/40 - i**5\/60 + 281*i**4\/24 + 4849*i**3\/6 + 23*i**2 - 8. What is the derivative of o(y) wrt y?\nAnswer: -9*y**2 - 2*y + 281","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in h + 0*h**2 - 5*h**2 - 2*h**2 - h**2.\nAnswer: -8*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v = -v + 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2000 + -112?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -50*n**4 + 60*n**4 + 1 - 13 with respect to n.\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q**5\/3 - 4*q**4\/3 + 8*q**3\/3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1870, -3725, -5580, -7435?\n\"Answer: -1855*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 21.3 - -426\nAnswer: 447.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**3\/3 + 8305*o**2\/3 + 33232*o\/3 + 33236\/3.\nAnswer: -(o - 8309)*(o + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 32010 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -162*w - 174*w + 338*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/9 - 8532\/(-243). Suppose p*g = 38*g - 810. Does 22 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.047 + 0.047. Sort h, 2\/5, 0.1, 0.3 in ascending order.\nAnswer: h, 0.1, 0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11991, 23337, 34663, 45963, 57231?\nAnswer: 68461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 12 = -0. Let q be (l\/1)\/((-2)\/5). Is 10 a factor of (-16)\/q*(-55)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p + 28 = 100*m - 103*m, -16*p - 5*m - 112 = 0 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 20 * -2.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3408*x + 39472 = -2148*x + 167196 + 333424 for x.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 966, 1390, 1814, 2238, 2662?\n\"Answer: 424*w + 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 97*f**2 - 46*f + 9. Is 74 a factor of x(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 134872814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -279*m = -247*m - 64 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1693653 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3\/14690 and 42\/3265.\nAnswer: 9592570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - g - 3*h = 64, 0 = g - 4*h - 3. Let b = g + 29. Solve -3*r - b = r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1)*k**(-2\/3)*k**(-29))\/(k**(-26\/9))**(2\/39) assuming k is positive.\nAnswer: k**(-824\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 2*i**2 + 77245*i. Let l(d) = -3*d**2. What is r(l(f))?\nAnswer: 18*f**4 - 231735*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 56 - 62.8. Let m = g - -6.8000025. What is m rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -901.33075 rounded to zero dps?\nAnswer: -901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 4 = 3. Let t = 14 + c. Let k be ((-20)\/6*1)\/((-6)\/117). What is the greatest common factor of t and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 3 j when four letters picked without replacement from {w: 2, b: 4, j: 4, y: 10}.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-70)\/42 - (-15)\/9. Let r = 6 - -9. Suppose -r = 3*f - 6*f. Solve -2 = n - 5*o, 2*o - f*o = z for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -22 - -22. Let y = 19317\/182 - -431\/26. Let o = y - 123. What is the closest to o in t, 2, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the second derivative of x**5\/20 - 5*x**4\/6 + 2*x**3 - x**2 - 14*x. Let b be p(9). Suppose 0 = 9*f + b + 2. What is the nearest to -2 in f, 3, 2\/15?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -6*x**3 + 5*x**2 - 5*x + 5. Let c(o) = -o**3 - 4*o**2 + 20. Let a(m) = m**3 - 2*m**2 + m + 4. Let u(f) = 12*a(f) - 3*c(f). What is -5*u(q) - 12*z(q)?\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j + 7. Give m(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (6 - 16 + 4)*(-68 - 68 + 5*s + 134) in the form f + y*s and give y.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-61*y**3 + 8*y**3 - 23*y**3)*(-7*y + 6*y - 8*y)*(11 + 5 - 4) as l + b*y + p*y**2 + n*y**4 + d*y**3 and give n.\nAnswer: 8208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 48*h - 123. Let i be v(21). Suppose 0 = -9*u + i + 1599. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 52851383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 564377 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 8 = g. Suppose 0 = -2*q - g*r + 58, -5*q + 0*r - 5*r + 125 = 0. Suppose q + 15 = 2*h. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21\/28 - (-12 + (-21850)\/(-1720))?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 604*g**3*p**3 + 33*g**3 + 4023*g*p**3 - 1 wrt g?\nAnswer: 3624*g*p**3 + 198*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.174 * -2.\nAnswer: 0.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3544 + 4011. Is 31 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*s + 94 + 116. Solve 43*z - 48*z - s = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*((sqrt(1100) + 5 + (-2*sqrt(1100) - sqrt(1100)) + sqrt(1100) + sqrt(1100) - (1*sqrt(88))\/sqrt(8)*5) + 5))**2.\nAnswer: -100*sqrt(11) + 375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -15*r - 13. Let v(g) be the first derivative of 7*g**2\/2 + 6*g + 3047. Calculate -3*n(y) - 7*v(y).\nAnswer: -4*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -8*l + 0*l + 10*l + 2. Let r be t(1). Let d be (1*-15)\/((-9)\/18 + -1). Solve r*y = -d - 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11200100 (base 3) to base 7\nAnswer: -12642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 266316726?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 4*s - 10 = 0. Let i(g) = -17*g + 12 - s + 9. Let v(y) = -8*y + 5. What is -6*i(u) + 13*v(u)?\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 529*n**4\/5 + 385204*n**3\/5 + 13396*n**2 + 2912*n\/5.\nAnswer: n*(n + 728)*(23*n + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u - u + o, 0 = -5*u + 5*o + 30. Let h(x) be the third derivative of 0*x**3 - u*x**2 + 0*x**4 + 0*x + 0 - 1\/60*x**5. Let w(v) = -6*v. Give w(h(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -64 + 28*n - 14*n**2 - 21*n**2 - 23*n**2 + 60*n**2.\nAnswer: 2*(n - 2)*(n + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -3 - (8\/(-4) - 7). Find the common denominator of 0\/w - 79\/22 and -59\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 371897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 2*t)*(t**3 - 4*t**3 + 5*t**3) + (55 - 36 + 39)*(2*t**2 - 2*t**2 - t**2)*(-2*t**2 + 2*t**2 + t**2).\nAnswer: -62*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 2*f - 4 = 0, 3*g - 8 = -0*g - f. Solve -3*x - 13 = -0*j - 4*j, 0 = -x + j - g for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**2\/5 - 285286*r\/5 - 171168.\nAnswer: -2*(r + 3)*(r + 142640)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 1800 divide 1514740819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.060190446 rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 606594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(16)\/(sqrt(8) - (sqrt(8) + (-2*(sqrt(128) + sqrt(8)) - sqrt(8)))).\nAnswer: sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -35 + 4003270?\nAnswer: 4003233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 6654 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 13554537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 63 a factor of 1082735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 32 + -17. Suppose 2*x - g = -3*x - 4*l, -4*l + 3 = x. Let m(r) = r**3 - r**2 - 3*r - 1. Does 3 divide m(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2*i**4 + 4*i**4 - 9)*(0 + 2*i + 2 - i).\nAnswer: 2*i**5 + 4*i**4 - 6*i - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -2*r**2 - 9*r + 5. Let q be k(-5). Solve q = -2*d - 3*d + 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -38, 63, 358, 901, 1746?\nAnswer: 2947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 14 = 4*p - 7, -3*p - 5*v = 6. Suppose q = p*l - 4, -2*q - 4*l = l - 25. Suppose -q*u = -4*u - 9. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -3*k**2 + k + 11. Let j be 1\/((-2)\/40*-4). Let h(c) = -2*c**2 + c + 6. Calculate j*h(t) - 3*x(t).\nAnswer: -t**2 + 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*y + 21*y**2 + 3 - 2 - 23*y - 2*y.\nAnswer: 21*y**2 - 38*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -7441515 (base 9) in base 13?\nAnswer: -a96307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 4) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-9*w + 6*w - 4*w)*(0*w + 0*w - 2*w) + (3*w + 0 - 3 - 2 + (2*w - 1 + 1)*(-1 + 4 - 1) - w + w - w)*(-4*w + w + w) to r + p*w**2 + m*w and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*y - 42*y + 24*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 685375.\nAnswer: 5, 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in fifty-two fifths of a decade?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the second derivative of -y**5\/20 + y**4\/4 - y**3\/3 - y**2 + 6*y. Let p be c(2). Let h be 1\/p*-1*2. Calculate the highest common factor of h and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 176 is divided by 44.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -47955 + 4?\nAnswer: -47951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Are -4032 and 2\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 562.2061 hours to microseconds.\nAnswer: 2023941960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -589*l**3 + 11766*l**2 + 284*l - 87. Determine n(20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 466, 951, 1454, 1975, 2514, 3071?\nAnswer: 3646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2748516 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -53533 (base 7) to base 8\nAnswer: -31767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 15824211 divided by -13\nAnswer: -1217247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 64*l**2 - 1884*l - 1948.\nAnswer: 4*(l + 1)*(16*l - 487)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-88)\/(-8) + -3)\/(-2). Put 0.1, t, -45\/4 in ascending order.\nAnswer: -45\/4, t, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3.3 + -3. Let n be (-3)\/36 - 23\/(-69). Sort 8, n, b in descending order.\nAnswer: 8, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2699 divided by 3?\nAnswer: -2699\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 55 = -5*v, 2*v + 0*b + 5*b - 1 = 0. Let m be (-32)\/(-6) + v\/9. Let n = -90 + 93. Solve n*r - m*r = -5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times 10043\nAnswer: 1004.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 210 a factor of 1504903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (630\/150)\/((-4)\/(-20)). Solve -2*x + 3 = -b, 2*b + 6 = -3*x + a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -472*k = 2*u - 475*k + 13, u = -4*k + 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 23192, 46382, 69572?\n\"Answer: 23190*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4677946363?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -152  (b) -2\/15  (c) -2\/5  (d) 5  (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 115 (base 6) to base 10.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*b - 4*b - 6. Suppose -2*f = b*f. Suppose -16 = -2*j - 2*j, -j + 20 = 4*g. Solve g*m = -f*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*p**2 + 70*p + 27*p - p**4 + 23*p wrt p?\nAnswer: -12*p**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.24761541 rounded to 3 decimal places?\nAnswer: 0.248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1949542032?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-1\/22)*f*f**(1\/3))**(-2\/33) assuming f is positive.\nAnswer: f**(-85\/1089)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 122128 is divided by 177?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4729 - -4720.192. What is u rounded to 1 decimal place?\nAnswer: -8.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-44 + 44 + 12*n)*(-1 + 0 + 0) - 2*n - 3 + 3.\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1522258 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -174243c (base 13) to base 6.\nAnswer: -425415333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 108 - 31. Let b be 2\/6 - 16\/(-6). Suppose 10 = b*r - 11. What is the greatest common factor of m and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/9)\/((-8)\/16*1870\/1980).\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 65153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 23 = -p - 5*h, -2*p + 5*h - 7 = 0. Suppose 3*s = 4*u + p - 0, 4 = -4*u - 2*s. Which is greater: 4\/37 or u?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000547609 to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.63 less than 4.1?\nAnswer: -1.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 84 and 1953.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4784\/(-460) - (2 - 12\/5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = d + 9. Suppose d*r = -2*r + 5*x + 25, 4*r + x = 15. Suppose 4*u - 40 = 2*u + 4*i, -4*u + 104 = r*i. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate a*c**3*g**2 + 5*a*c**3 - 31958*c**3*g + 14495*c**3 + 2*c - 38*g**2 + 32 with respect to g.\nAnswer: 2*a*c**3*g - 31958*c**3 - 76*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*p + 3*p + 140 = -4*n, 2*n = -2. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(1\/8)\/x**(-1))\/(x**(-1\/3)*x**5))\/((x\/x**(-1))**(-30)\/(x**(2\/3))**(-1\/27)) assuming x is positive.\nAnswer: x**(36569\/648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1, -76, -211, -410, -679, -1024?\n\"Answer: -i**3 - 23*i**2 - i + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y - 5*l + 1093, 3*y + 2*y - 1391 = 2*l. Let o = y - 90. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 94.57937 centuries to millennia.\nAnswer: 9.457937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-25)\/190*19*32\/(-35)?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 14934 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 3 - 2 + (0 + 5 - 4)*(-1 - 1 + 0) + (-3 + 0 + 0)*(3 + 2 + 0) + 10 + 15 + 23)*(-2*u - 2 + 2) + 2*u - 5*u + u as d + j*u and give j.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 193476?\nAnswer: 2, 3, 23, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 3*w**2 + 30*w + 5. Let n be l(-10). Suppose n*x = 1378 + 422. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:49 PM and 2:59 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*m = 4*b + 2*m - 4104, 5*b - 3*m - 5124 = 0. Find the third derivative of -1023 + 32*d**2 - d**4 - 24*d**4 + b wrt d.\nAnswer: -600*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2 and -157.896?\nAnswer: -315.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -149*r**3 + 16*r**3 - 2758871*r**2 + 2758871*r**2.\nAnswer: -133*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (405\/75)\/((-2)\/(-140))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p**3 - 36*p**2 - 38*p + 101. Let a be d(-35). What is the third derivative of -8*n**6 + 3*n**4 + 134110*n**3 - a*n**2 - 134110*n**3 wrt n?\nAnswer: -960*n**3 + 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/((y*y**24\/y*y*y)\/y)*y\/(y\/y**(22\/7))*(y**(-2\/9))**(-13\/7))**(2\/41) assuming y is positive.\nAnswer: y**(-368\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*s - 75900 = -19*s - 63*s. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a7 (base 15) in base 4?\nAnswer: 2131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -10 + 19. Suppose 4*w + s = 29. Solve -w*v = -4*g + 45, -3 - 2 = 5*v + 4*g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 203 and 2807.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**3 - 8*u**2 - 4*u - 7. What is the remainder when 1\/((-4 - -1)\/(-147)) is divided by v(-8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1102 (base 4) to base 15.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -759*a**3*m**3 - a**3*m - a**2*m**2 - 19*a*m**5 + 11 wrt m.\nAnswer: -4554*a**3 - 1140*a*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 41601337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 6*q + 0)*(-286 + 96 + 5*q + 92 + 102) to the form k*q + o + g*q**2 and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eqkq when four letters picked without replacement from {q: 1, w: 1, e: 1, y: 1, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.53163035 rounded to three dps?\nAnswer: 0.532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*x + 29 - 29)*(2*x**2 + 7*x**2 - 4*x**2) - 2*x + 2*x + x**3.\nAnswer: -24*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 459880*x**3 - 459877*x**3 + 71 - 71.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the second derivative of -c**2 + 7\/12*c**4 + 0 - 1\/6*c**3 + 4*c. Is l(2) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the second derivative of -i**6\/135 + 7*i**5\/36 + i**4\/4 - i**3\/2 + 3*i**2 + 89*i. Let s(h) be the second derivative of t(h). Solve s(q) = 0 for q.\nAnswer: -1\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5691 = -3*t - 0*x - 3*x, -4*t - 7583 = 3*x. Let r = -575 - t. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 49*h**3 - 92*h**2 + 2*h + 2*h**3 + 190*h**2 - 97*h**2 as y*h**2 + k*h + p*h**3 + l and give p.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 159 - 83 - 76 + 60*v**2.\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = -0*r + 35. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 2, f: 7}. Give prob of picking 1 f and 2 e.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -154 + 245. Does 14 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 48 = -8*f. Suppose -w = f*x - 560, -x + 0*x + 3*w = -140. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s - 5*d = -21, d = 29*s - 27*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -2*q - 1. Calculate k(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -203041, -203046, -203055, -203068, -203085, -203106?\n\"Answer: -2*z**2 + z - 203040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/2322765 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = x - 19*x + 18 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (133 - 120) + -8 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 827 - -13. Let b = v - 760. What is the remainder when 307 is divided by b?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 (base 11) in base 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 54037, 216079, 486149, 864247?\nAnswer: 1350373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 25 = 0, 4*g + 10*z - 5*z = -25. Suppose g = 8*y - 5*y - 300. Calculate the highest common factor of y and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -2*x**2. Suppose 0 = -12*w + 13*w - 3. Let f(v) be the first derivative of 0*v**2 - 1\/3*v**3 + w + 0*v. Calculate f(l(z)).\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -72.37 + 73.07. Let p be ((-4)\/(-54))\/(12\/(-36)). Which is the closest to -0.2?  (a) -4  (b) v  (c) p  (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 868 and 588?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5127 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000025459 to 6 dps.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -126 - -73b2?\nAnswer: 7288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1755911052 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**3 + 643*d**2\/5 + 1012*d\/5 - 508\/5.\nAnswer: (d + 2)*(d + 127)*(5*d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-121)\/11 + 4*(3 - -3). Solve -3*o = j - 7, -o = -2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 - (9 + -7 + (22 - 13))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3501 (base 15) in base 5?\nAnswer: -330001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (sqrt(468) - (sqrt(468) + 1)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -354 + 186 + 170 - (-1 + 0 - 92)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.5 - 0.3. Let h = 6.19 - 7.2. Let u = -1.31 - h. Sort -0.4, -0.5, s, u.\nAnswer: -0.5, -0.4, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.11 + 1.11. Let v = -557 + 556. Suppose 14 + 2 = 2*s. What is the third smallest value in v, 5, s, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((8 - 8 + 5*n)*(-1 - 2*n + 1) + 4*n**2 + 3*n**2 - 14*n**2)*(3*n**2 - 3*n**2 + 3*n**2).\nAnswer: -51*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5.347 - 0.187. Let l = -0.06 + j. Let r = l - 5.10029. What is r rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xfxxxvxxhfvhxxxv. Give prob of sequence fh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m = 5*d - 11, 14*m + 3*d = 9*m + 13*d - 15 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 2*u**2 + u - 1. Let y(p) = -17*p**2 + 5*p - 38. Let z(x) = -6*d(x) + y(x). What is the second derivative of z(q) wrt q?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 12*y = 9*y + 23, z - 5*y - 31 = 0. What is the remainder when 141 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/9, 4, -6.82, -1\/6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 3308*c**2 - 249*c + 1224. Is n(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 184 - 137. Suppose z*k + 2780 = 51*k - 4*b, 3*k = -5*b + 2125. Does 28 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2915.4 and -0.1.\nAnswer: -291.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z + 3*d - 3, 3 = 3*z + z + 3*d. Let r = -3239\/3 - -1080. Let i = 39.7 + -38. Which is the closest to r?  (a) z  (b) -1  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -2*p**3 - 19*p**2 - 62*p - 308. What is h(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**2\/7 - 262*g\/7 - 5700\/7.\nAnswer: 2*(g - 150)*(g + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes after 11:31 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 388 - 120 = 268*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -2*m + 4*m. Let s(b) be the third derivative of b**4\/12 - b**3\/3 + 2*b**2. List the prime factors of s(m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6324 divided by 34.\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5\/4, 0.5, 2\/57?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 135 + -3. What is the highest common factor of n and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 5, -3, 9, -1 in increasing order.\nAnswer: -5, -3, -1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-36*w**2 + 24*w**2 + 9*w**2 - 697*w)*(-4 + 2*w**2 + 2 - 6*w**2) to the form d*w**4 + u*w + m*w**2 + y + t*w**3 and give u.\nAnswer: 1394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 4*p + 51. Let m be k(-12). What is the hundreds digit of 11\/(77\/1960) - m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 26*y**5 - 4*y**3 + 976*y**2 - 74*y**4 + 4*y**3 + 73*y**4 wrt y?\nAnswer: 1560*y**2 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9 - 7. Let r be 3\/(-12) - 1\/(-4). Solve r = -x*s + s + 5*p - 25, 0 = 4*s - 5*p + 40 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/196 and 139\/1022532.\nAnswer: 1022532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 68842.\nAnswer: 2, 34421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -191\/5 or 0.1914?\nAnswer: 0.1914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*i + 3. Let v(w) = 4*w - 1. Let o(l) be the third derivative of 11*l**4\/24 - 2*l**3\/3 + 75*l**2 - 90. Determine i*o(a) - 8*v(a).\nAnswer: a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1807*r = 1779*r. Factor r + 0*u + 1\/2*u**5 + 1\/2*u**3 - u**4 + 0*u**2.\nAnswer: u**3*(u - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - 10\/(-4)*23414\/10689.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -9.3 - -7.3. What is the closest to 2 in 0.1, b, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llj. Give prob of picking 1 j and 1 l.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 32289012 divided by -10389?\nAnswer: -3108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 equal to -4626\/3577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1551343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**2 + 18*s + 19525. Determine i(-131).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 25 = 5*a, k - 4*a + 19 = -1. Let s be (k - 1*-1) + 170\/5. Suppose 4 - 32 = -4*x. Calculate the greatest common factor of s and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -10 + 10.4. Let x = 0 - 0.5. What is the second biggest value in -3, x, p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 + 7. Suppose 4*w + u - 62 = -u, 4*w = t*u + 56. Solve 0*o + 3*o = w for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -82 - -98. Suppose 4*a + 288 = 4*p, -2*p - p - a + 224 = 0. What is the remainder when p is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 663941+-1.2\nAnswer: 663939.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 221571156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the first derivative of p**2\/2 - 3*p - 4. Let a(y) = -y**2 - 7*y + 7. Let u be a(-7). Determine q(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*g - 435 = 845. Solve 17*y - g = 22 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13, -16, -19?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -z**3\/3 - 5*z**2\/3 + 17*z\/3 + 7 = 0.\nAnswer: -7, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2370 is divided by 85.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -87236*y**3 - 26*y**2 + 2451*y + 7.\nAnswer: -523416*y - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3339 less than -36.7?\nAnswer: 3302.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 25 - (0 - 2 - -5). Let f(x) = 4*x. Let g be f(2). Suppose -3*y = -s - g. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 63\/80 and 117\/195296240?\nAnswer: 195296240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.4 and 24693.\nAnswer: -34570.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 4*p - 248. Let n be l(61). Sort n, 2, -5, 3, -119 in decreasing order.\nAnswer: 3, 2, n, -5, -119","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/16 of a century in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w**4\/8 - 1473*w**3\/4 - 3*w**2\/2 + 1473*w = 0. What is w?\nAnswer: -2, 0, 2, 982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -23311103122 - -1201?\nAnswer: -23311101321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 6*f - 2. Let q(l) = l. Let b(c) = 2*q(c) - s(c). Let z(x) = 5*x - 2. Let w(m) = -m + 4. Let j be w(7). Let h = -6 - j. Determine h*z(n) - 4*b(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -16*s**5 - 56*s**4 + 111*s**3 - 45*s**2.\nAnswer: -s**2*(s + 5)*(4*s - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6530029 is divided by 6529960?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 44 and -8.\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8198?\nAnswer: 2, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 - 21 = -13*h. Let k be 0\/h - (-4 + 2 - -2). Factor k + 16\/7*p**3 - 2*p**2 + 2\/7*p + 32\/7*p**4.\nAnswer: 2*p*(p + 1)*(4*p - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 71 is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9106*a*i**3 - 4*a*i - 362*i**2 - 2 wrt i.\nAnswer: 54636*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ooy. Give prob of sequence oo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes before 9:36 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 0 + 5 + (1 - 2 + 0)*(7 - 1 + 4) - 4 + 5 + 0 + 1 + 0 + 0)*(-4 + 2 + 2*p**2 - 3).\nAnswer: -14*p**2 + 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(-5) - 44\/(-10). Suppose -3 = 3*m + 4*h, -2*m + b*m = -h + 3. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + z = -2 - 20, -4*z = -2*j + 34. Solve 3*f - j = 0, 2*v + 2*f - 16 = -2*f for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9*t**5 - 8*t**5 - 3*t - t + 5 + 6*t**5 - 5 - 3*t**5 + 2*t**5 + 0*t**5 + (t**3 - t**3 - 2*t**4)*(-2*t + 3*t - 2*t).\nAnswer: 8*t**5 - 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9.2 + -9. Put 3, l, 5, 2\/9 in increasing order.\nAnswer: l, 2\/9, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 0, -21, -60, -123, -216, -345?\n\"Answer: -i**3 - 3*i**2 - 5*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 540 and 3555.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 109 a factor of 49350298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 17268 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hohyhyhwo. What is prob of picking 2 o?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 49\/5 of a kilogram in grams?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -556*l + 2824. Give y(5).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (103*h + 24 - 33*h - 33*h - 25*h)*(1 + 5 - 4) to f + b*h and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 21879083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5559?\nAnswer: 3, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2770 (base 13) to base 14.\nAnswer: -20cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**3 - 20*v**2 + 106*v + 141. Give k(-24).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate (216\/8 + -8 - 11) + 6.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10729032 and 18762?\nAnswer: 568638696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 2*p - 37. Calculate the least common multiple of i(22) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 2*h + 5. Let b be v(5). Let j(f) = 26*f + 1. Let a be j(1). Let k = a - b. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5239*d - 5240*d + d**3 + 3*d**3 - 3*d**3 + 10477*d.\nAnswer: d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.01 and -82739160101.\nAnswer: -82739160101.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8697\/5 + -8699\/5. What is the closest to z in 0.03, 0.3, 1\/7?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = q + 16. Let k(j) = j**3 - j**2 + 2*j + 1. Is k(q) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 * -39006.\nAnswer: -78012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.6?  (a) 2\/5  (b) 0.058  (c) 71  (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-15)\/((7\/14)\/((-2)\/4)). Suppose -13 - a = -7*l. Solve -2*o - l = -3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18\/(-30))\/((-441)\/(-70)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 - -6. What is the first derivative of -1 + 4*q**3 + 0*q**c - 4*q**3 + 2*q**4 wrt q?\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1355 + -5?\nAnswer: -1363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -70291 or -14409436\/205?\nAnswer: -70291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 12732 - 8845. What is the lowest common multiple of 1270 and (-2)\/28 - r\/(-322)?\nAnswer: 7620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-12)\/30)\/((-2)\/(-20)). Let j = 4 + -10. Let r be j*2\/((-12)\/(-3)). Sort s, 4, r in descending order.\nAnswer: 4, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 8 + -33?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-33)\/1)\/(2\/4). Let i = v - -994\/15. Let m = -3109 + 3109.1. Which is greater: i or m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10*50\/1500*6\/(-5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -44*i + 47*i - 24. Is ((-27340)\/i*1)\/(3\/(-6)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22 (base 11) to base 12.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0016954741 rounded to six decimal places?\nAnswer: -0.001695","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 4*r**3 - 134*r**2 - 78*r + 261. What is y(34)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 379492465 to the nearest integer?\nAnswer: 19481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(175) + 3*(sqrt(175)*-2 - sqrt(175)) + sqrt(175))**2.\nAnswer: 8575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9131 - 9038. What is the highest common divisor of 496 and z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 59 in -2, 1\/6, -0.11?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b**(-2\/15)*b*b*b)\/(b**22\/b*b*b) assuming b is positive.\nAnswer: b**(-287\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q + 5*p - 10 = 0, -228*p = 5*q + 360*p - 45*p - 91*p - 1783 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -2\/19  (b) 13  (c) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 297 is divided by 77.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 - -2.2. Let d = -0.4 + j. Let f = 0.9 - 5.9. What is the nearest to 2\/7 in -1, f, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7238 is divided by 3604.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1556, 5, 0, 4 in decreasing order.\nAnswer: 1556, 5, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 3*z. Let p = -43 - -43. Let h(y) be the third derivative of p*y**3 - 3*y**2 + 1\/12*y**4 + 0 + 0*y. Calculate t(h(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 10*j + 2. Let b(a) = -6*a. Let p(q) = 2*b(q) - t(q). Calculate p(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 4*k - 1 = 23, w + 5*k + 29 = 0. Let l be (18\/(-4))\/(-3)*w. Let t = -6 - l. Solve t = r + r - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77627.56 litres in millilitres?\nAnswer: 77627560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 44, 2, 3 in descending order.\nAnswer: 44, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100101 (base 2) to base 13.\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29583.\nAnswer: 3, 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1681033734?\nAnswer: 2, 3, 173, 461, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b - 3*d + 18 = 0, 2*d = -5*b + b + 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 138\/23015599?\nAnswer: 138\/23015599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-2)\/(-4))\/(2\/16). Let z(k) = -35*k**3 + 2*k**2 + 2*k + 1. Let o be z(-1). Suppose -2*y - o = -5*y. Calculate the greatest common divisor of u and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.98 + 0.02. Let v be 2534\/(7\/(-1)) - -2. Let m be 20\/v*(0 - 1)*3. Which is smaller: m or j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ajknkix. What is prob of sequence ax?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -1 - (2\/(-15) - 1). Let w be (96\/(-5) - 1) + 1. Let i = w + 19. What is the smallest value in i, p, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u**2 - 3*u + 3*u - 2*u**2 + u - u + (-2*u + u + 2*u)*(-2*u + 3*u - 3*u))*(5*u**2 + 0*u**2 + 9*u**2)*(u + 0*u + u).\nAnswer: -56*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/4 - (-36)\/8. Let l be 2\/f - 9\/(-2). Let o = -59 + 62. Solve 3*g - o*d - 7 = g, 5*d = 2*g - l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 192*q**3 + 77*q**3 - 30*q**3 + 24*q**3.\nAnswer: 263*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - a - 2*v + 28 = 0, 3 = a + 3*v. Let r be 2\/(-54)*-3*a. What is the nearest to r in -4, 1\/3, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5c + -22e?\nAnswer: -1c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence khk when three letters picked without replacement from hckmhmhmcoommok.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 152*h - 72*h - 72*h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = f**3 - 37*f**2 + 39*f - 107. Let z be t(36). Does 2\/289 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41508.\nAnswer: 2, 3, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/(-9) + 9\/(54\/640). Let b = 111 - i. Solve x + 15 = -b*j, 2 = -x - 2*j - 3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 2*r = 16, 3*u + r = 2*u - 4. Let p(t) be the third derivative of -t**5\/60 - 7*t**4\/24 - 7*t**3\/6 + 4*t**2 - 52*t. Give p(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 17, 0.3, -2, -2\/23, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ggppggppgpgppg. What is prob of picking 3 g?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 minutes after 4:23 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -7, 2, 21, 56, 113, 198?\n\"Answer: a**3 - a**2 + 5*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 5*((2 + sqrt(171))*1 + sqrt(171) + 1 + sqrt(171) + -3 + (sqrt(171) + sqrt(171)*2 + 0 + sqrt(171))*-1 + 3))**2.\nAnswer: -330*sqrt(19) + 4396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 135 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-39 + 1)\/(3\/(-3)*-1). Let w = 41 + p. Solve -2*n - 22 = 6*j - j, 2*n = w*j + 10 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1100 - -1022?\nAnswer: 2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 61*t + 1004 - 294 + 144 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - 4 - 1\/(-1)*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -166*j**2 + 2999*j + 6615646 wrt j?\nAnswer: -332*j + 2999","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.08, -170, -1\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (25\/15)\/(2\/6). Suppose 570 = r + a*r. What are the prime factors of 0\/(-10) - r*-1?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + u + (0 + 1 + 0)*(u - 2*u - u) + 3*u - 3*u - 2*u - 17*u - 7*u + 5*u)*(3 + 3 - 7)*(1 + 5 + 0).\nAnswer: 132*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 102*k + 32 = -197*k + 97*k, 13*c + 5*k = -84 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xj when two letters picked without replacement from lxxajlxxj.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/20 of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the first derivative of -41\/9*h**2 + 40\/9*h + 4\/27*h**3 + 186. Let n(l) = 0. What is l?\nAnswer: 1\/2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -713.456 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -44506971.\nAnswer: -2\/44506971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*c**4*n**2 + 53*c*n**2 - 119*n**2 wrt c?\nAnswer: -8*c**3*n**2 + 53*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 227*a - 300*a - 117*a - 1393*a in the form g*a + s and give g.\nAnswer: -1583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -2022111221 (base 3) to base 16\nAnswer: -b206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 663 and 4296189?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**2 + 24*j - 8. What is the hundreds digit of w(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 7*d**2 + 7*d + 7. Let a be c(-1). Let z be 4540 + 2 + -5 + 2. Suppose 0 = -4*w + a*w - z. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 138  (b) -2\/5  (c) 14  (d) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 3*i**2)*(14*i**2 + 41*i**2 + 5*i**2).\nAnswer: -180*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -3279*((-146)\/21 + (-208)\/(-728)).\nAnswer: 2, 5, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29100 is divided by 49?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 155\/465 + (-7)\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 644, 12.\nAnswer: 4, 12, 644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 plus 422596585158?\nAnswer: 422596585157.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5192 - 5192 - 78*g**2 + (-4*g - 3*g + 5*g)*(-3*g + 6*g - 5*g) to the form k*g + a*g**2 + d and give a.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**2 - 9*j + 10. Let s be v(8). Find the first derivative of -5 - 4*y**2 + s + y**3 + 4*y**2 wrt y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(-5*(-5)\/(-100)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vaqst. Give prob of picking 1 a, 1 t, and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 745 - 426. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 660 and 57530.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -0.7, 3, 1\/7, -160?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3287 - 2136. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 22 + -10. Suppose -2 = -2*t - 8. Let u = r - t. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -501a + -130?\nAnswer: -514a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 426\/22 + 19798\/(-1042). Suppose 0*j**2 + 6\/11*j**3 + 0 + 0*j + k*j**4 - 2\/11*j**5 = 0. Calculate j.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 13244 and 1514073.\nAnswer: 42394044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (1237 - 1231) + (-16 - -1) - (-56 - 0)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 5*i = 0. Suppose -w + i = -7. Calculate the least common multiple of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.7 + 1.2. Let c be (-3)\/2 + 689\/106. Let s = 0.1 - 0.1. What is the second biggest value in c, p, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 382014540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = -3*j + 15, -j + 583 = 5*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2.791*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 143\/29862 and -29\/144950148.\nAnswer: 144950148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3)\/9*33\/(-1). Suppose 5*n = 5*s + 245, 4*n = 2*s + 223 - 37. Calculate the highest common divisor of n and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, 0.3, -6.09, -201?\nAnswer: -201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 594 divided by 297.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -2\/10095?\nAnswer: -2\/10095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -14184*f + 9960. Let x be i(5). What is x rounded to the nearest 1000?\nAnswer: -61000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3980, 4714, 5434, 6134, 6808, 7450, 8054, 8614?\nAnswer: 9124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 9 - (19\/(1425\/(-125)))\/(2\/(-6)). Solve -l*k = -16, 2*j = -3*j + 4*k - 16 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 3*q**2 - 3*q. Let p be x(2). Let m = 9 + -7. What is the second derivative of -6 + p + u - m*u**4 wrt u?\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a - 1 - 2. Suppose 3*k - 4*j = 2 - 1, -4 = 5*k - j. Calculate the remainder when 20 is divided by k\/(a\/11)*3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7.7 + -7. Put 0.3, l, -0.2 in decreasing order.\nAnswer: l, 0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = -72 + 86. What is the remainder when 54 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -15*x**2 + 5*x - 10. Let w(p) be the first derivative of -p**3\/3 + p**2\/2 - 2*p + 76. Let z(n) = f(n) - 5*w(n). Let u(s) = -8*s. What is z(u(b))?\nAnswer: -640*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3407*z**2 - 412 - 6803*z**2 + 3381*z**2.\nAnswer: -15*z**2 - 412","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -306\/5 + 62. Factor 0 - 2\/5*f**3 - 2\/5*f - k*f**2.\nAnswer: -2*f*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*r - r + 120 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*o + 63 = -1. Let k = -31 - -35. Calculate the smallest common multiple of k and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u**2 - 628*u + 1264 = 0.\nAnswer: -316, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 33 + 7. Let s be 2*(-15)\/h - -175. Let d = s + -98. Calculate the remainder when d is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-23)*q\/(q*q**15*q)*q*q)\/((q**(-8\/5)*q)\/q**(1\/66)) assuming q is positive.\nAnswer: q**(-12007\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -82096664.8 to the nearest one thousand.\nAnswer: -82097000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -5*i**2 - 116*i - 23. Let b be o(-23). Let x = -11 - -19. Let a = x + -4. Solve 4*v - 3*p + 4 = -p, -5*v + a*p - 2 = b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 38\/83329?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 432.342666 minutes in weeks?\nAnswer: 0.0428911375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 8) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -25765 + 25764.8. Let w = -0.1 - 0.9. Let f be 7\/(-4)*(-12)\/14. What is the closest to w in j, 1\/5, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 246 in 2\/117, -0.3, -0.04, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -18, -1, 2 in increasing order.\nAnswer: -18, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 75405792, 75405791, 75405790, 75405789, 75405788?\n\"Answer: -k + 75405793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 + 0)\/(95 - 91).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 169738320?\nAnswer: 2, 3, 5, 83, 8521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.2, -13, 0.02?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that -3334*m**5\/3 - 20002*m**4 - 49974*m**3 + 90*m**2 = 0.\nAnswer: -15, -3, 0, 3\/1667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.009111 - -289.120889. Round v to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u + 2 - 4. Let o = 120.1 - 120. What is the closest to 2\/5 in 1\/4, u, o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 588 minutes before 9:05 AM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -117*c**3 + 12*c**2 + 6*c - 4. Let u(t) = -352*t**3 + 34*t**2 + 17*t - 15. Determine 17*g(x) - 6*u(x).\nAnswer: 123*x**3 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 8\/4 + (-4)\/6*3. Suppose f + 40 - 46 = i. Suppose 0 = -f*k - 9*k + 450. What is the lowest common multiple of k and 45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -17220 by 28.\nAnswer: -615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-504)\/90)\/(24\/20))\/2?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mkkm. What is prob of sequence kmmk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand i**4 + 411*i - 411*i - i**3 - 5 - i**5 + (37*i**3 - 37*i**3 + 6*i**4)*(133 - 15*i - 133).\nAnswer: -91*i**5 + i**4 - i**3 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*a**3 - a**3 + 95*a - 1 + a**2 + 8*a**3 - 97*a + 3*a**2 as j + r*a**2 + t*a**3 + p*a and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 62 and 36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -77\/1448 and 73\/1629.\nAnswer: 13032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 11, -7436 in ascending order.\nAnswer: -7436, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 2803000 to the nearest 100000.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 + -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 3 + 3 + (1 - 3 + 1)*(-2 - 3 + 7) + (1 - 4 + 5)*(-87 - 53 - 239))*(0*g + g - 3*g)*(g + 7*g - 3*g).\nAnswer: 7580*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s**2 + s**2 - 7*s**2)*(-5*s**3 + 3*s**2 - 3*s**2) + (-23*s + 50 - 50)*(4*s - 4*s + s**2)*(0 - 3*s**2 + 0).\nAnswer: 89*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 - 3beed8e?\nAnswer: -3beed8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 159993 + -1596449\/10. Let b = x - 349. Are b and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1787 - -1790. Solve 3*f - z = 0, -4*f - 32 + 36 = 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -3*w - w + 12, 0 = -5*i + 4*w - 12. Let s be i + -9 - 1*-2. Let c = s - -12. Sort c, 1, 3.\nAnswer: 1, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 120 + -82. Let b = -27 + v. Let c = -11.0000045 + b. Round c to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 4, -4, 391, -13.\nAnswer: -13, -10, -4, 4, 391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(-2)\/7*(-23)\/(-23).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 * 0.021\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 9, f: 9}. Give prob of sequence fpff.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 326 - 459. Let v = t + 228. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11481\/4 - 2895. Calculate the common denominator of (45\/5)\/3 + (-53)\/2 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrlrtlttfaatrtaft. Give prob of picking 2 r.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-10)\/(f*f*f**(-2\/5)))\/(f*f**(-1))**(2\/27) assuming f is positive.\nAnswer: f**(-58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1074 is divided by 107?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 92*(-57)\/(-44574)*-493?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 42 and 1114617?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 5*c + 16 = 0, 0 = 3*v - 5*c - 47. Let p be (2 - 5)\/(6\/4). Let r be p - -1 - v\/(-18). Which is bigger: r or -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1 - (-1 + 3 - (-10)\/(-10)). Let w(y) be the second derivative of -1\/30*y**4 + 0*y**3 - 3*y + g*y**2 + 0. Factor w(n).\nAnswer: -2*n**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2096839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00006256 to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 24 + -21. Solve 5*p + n + 6 = g*p, 3*p - 2*n + 16 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 96896, 189580, 282264, 374948?\nAnswer: 467632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u, 1 a, and 1 j when three letters picked without replacement from {i: 1, j: 2, a: 2, q: 1, k: 1, u: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in eighteen fifths of a centimeter?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 3, g: 8, v: 5}. What is prob of picking 1 n, 2 g, and 1 v?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*x**4 + 0*x**4 + 5*x**4 + (3*x**2 + 2*x**2 - 4*x**2)*(1 - x**2 - 1) - 6*x**4 + x**4 - 7*x**4.\nAnswer: -11*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 8197162223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 16*u**2 - u - 21. Let x be j(3). Let v = x - 102. Calculate the least common multiple of 330 and v.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 12, 33, 42, 33, 0, -63, -162, -303?\n\"Answer: -b**3 + 28*b - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(216)*-2)\/sqrt(6) + (sqrt(36) - -1*sqrt(576)))\/((sqrt(24) + sqrt(96)*-2)\/sqrt(2)))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = 0, -g + 10 = 5*k - 2*g. Suppose -k*c + 4 = -0*c. Let f(v) = -14*v + 60. Let u be f(4). Solve -17 = -3*h - c*h + 3*o, 0 = u*h - o - 15 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -25224, -25224, -25222, -25218, -25212, -25204?\nAnswer: -25194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i = 105*i + 8889 - 10319 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 10 = -2*f, 0 = 14*f - 13*f - 4*b + 5. Suppose f*i + 2*m = 299, i - 120 + 18 = -3*m. Is 24 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-10)\/(6 + -1))\/(-1). Let 0 - 4\/5*f - x*f**2 = 0. What is f?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -19, -3, 21, 53, 93?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -53609, -53458, -53307, -53156, -53005, -52854?\nAnswer: -52703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w = -0*w + 12, -2*l + 645 = 43*l + 5*w for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(605) - sqrt(605))**2 - sqrt(80) - 1*(sqrt(5)*-1 + 2)**2.\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = -56 - 24. What are the prime factors of -3 + 4\/(l\/(-285))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -44973.517612 minus 0.6?\nAnswer: -44974.117612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -64 or 6?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 5 + 0)*(-f**2 + 2*f**2 + 0*f**2) + (4*f**2 - 2*f**2 + 0*f**2)*(-4 + 1 + 1).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -220.2 - -220. Let l(z) = -z**2 + 3*z + 4. Let s be l(5). Let t = s - 3. Put f, t, 4\/3 in descending order.\nAnswer: 4\/3, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:35 AM and 5:04 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 10*h. Let w(q) = 29942745*q. Determine y(w(d)).\nAnswer: 299427450*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 25096102 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*y - 4*v - 3 + 27 = 0, 5*y - 2*v = -12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - -5 - (-9 + 18)) + -2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1832909 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -0.0391, -2, -7, -5\/2, 2\/49?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7687016 is divided by 172?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14771 = -11*k - 96087. Let r = k - -19229. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -133, -92, -47, 2, 55, 112, 173?\n\"Answer: 2*x**2 + 35*x - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 minutes before 8:57 PM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*g**3 + 8*g**3 - 9*g**3 + 16*g**4)*(15 - 15 - 9*g).\nAnswer: -144*g**5 - 18*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve u + 4 = 0, -408*p = -412*p + 5*u - 16 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -5*h**3 - 3*h**2 + 3. Let x = 21 - -5. Let j(c) = -9 - 13*c**2 + 48 - 21*c**3 - x. Calculate 6*j(m) - 26*u(m).\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -13, 3, 10, 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -12*j**2. Let d be (4\/3)\/(5*5\/75). Let c(t) = 1367 - d*t - 1367. Determine c(i(z)).\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**3 + d**2 + d - 6. Let q be m(0). Let n(l) = 2*l - 7. Let w(j) = 3*j - 8. Let y(b) = q*w(b) + 7*n(b). Determine y(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + ((-5*sqrt(242)*-3*-4 - (2 + 1*(sqrt(242)*-3 + sqrt(242)))) + 4)*-4)**2.\nAnswer: -61248*sqrt(2) + 13025552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2840829?\nAnswer: 3, 946943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 11 = 3. Suppose o*z = 3*z + 330. Let f(u) = u + 6. Let b be f(0). Calculate the greatest common divisor of z and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17034 (base 8) to base 3\nAnswer: 101120111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the third derivative of 151*b**6\/120 + b**5\/60 + 19*b**3\/2 - 239*b**2. Find the third derivative of p(n) wrt n.\nAnswer: 906","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1.9 and -8660772.\nAnswer: -8660770.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 42 and 49032.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g = 34*f - 38*f - 10, 0 = 2*f - 2*g + 14 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -2*r**2 + 4*r + 6. Let t be l(5). Let d(p) = 3*p + 108. Let k be d(-28). Let g = k + t. Solve g = -b - 1 + 5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 41677 and 208882?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**2 - 4*r + 4. Let q(s) = -3*s**2 - 11*s + 11. Let l(c) = -11*j(c) + 4*q(c). Let h(d) = -10 - d**2 + 0 + 10. Give l(h(i)).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -51.6  (b) -5  (c) 0.4  (d) -3\/5  (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d. Let c be ((-4 - 5) + 8)*1*1. Let h(x) = 6*x + 11. What is c*h(i) - 4*y(i)?\nAnswer: -2*i - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -k**2 + 4*k**2 - 3*k**2 + 292*k**3.\nAnswer: 292*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 15*w + 72. Let l be a(-8). What is the units digit of 69\/((-6 + 12)\/l*-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -32*h + 17*h. Are h and -1\/283 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14 (base 16) to base 2\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the first derivative of w**3 - 1. Let n(r) = r**2 - 3*r + 4. Let s be n(3). Let z(u) = -u + s*u - 4*u. Determine z(b(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 0, 6, 1 in descending order.\nAnswer: 6, 1, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 54, -7, 3.\nAnswer: -7, 3, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11 + 14. Let g be (-6 + 4)\/((-4)\/78). Let i be 1\/(2 - g\/6). Sort i, y, -0.1.\nAnswer: i, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the third derivative of z**5\/60 + z**4\/8 - z**3\/2 - 2*z**2. Let r = -12408 - -12405. Calculate x(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 11697173 and 0.09.\nAnswer: 11697173.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -2 - (-3 - 3 - -2). Let l = 3 + -6. Let v = a - l. Solve -v*s - b = -29, 7*s = 2*s - 3*b + 37 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54 = 4*k - 2*c + 4, -3*c = k + 11. Find the common denominator of 5\/4 and (86\/14)\/((-12)\/k).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 13416 and 6708.\nAnswer: 13416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -16 + 29\/2. Let w = 2569 - 2568.6. Let a = 1 - 2. What is the nearest to a in k, 5, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 116\/1291?\nAnswer: 116\/1291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**3 + 18*t**2 + 13*t - 23. Calculate the remainder when c(-17) is divided by 31 + 1 - (-11 + 20).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 19*t - 2*t**3 - t**2 - 5*t - 626 - 2*t - 12*t to the form v*t**2 + u + j*t + r*t**3 and give u.\nAnswer: -626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 45807 is divided by 52.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 158, 157, 156, 155?\n\"Answer: -i + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -2a943 (base 15) to base 6\nAnswer: -2534400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 15860 - 9071. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) 0  (b) 7  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -10*y**4 + 13*y**3 - 751*y?\nAnswer: -120*y**2 + 78*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -10*y + 37. Let c be u(17). Let z = c - -255. What are the prime factors of z?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 q when two letters picked without replacement from qqqg?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 equal to -2\/4831?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qiq when three letters picked without replacement from {q: 1, t: 1, i: 5, w: 1, g: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2549, 4493, 6437, 8381?\nAnswer: 10325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58*b + 28*b - 1118 = 0 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 1515*h + 4*h**2 + 9*h**3 - 4*h**2 - 2*h**3 - 1446*h as d*h**2 + p + m*h**3 + z*h and give z.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2276450?\nAnswer: 2, 5, 11, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 803 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -175 bigger than 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 227918.\nAnswer: 2, 83, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49*c + 45*c + 36 = 4*s, 4*s - 156 = -28*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - z - 2*z + 9 = 0, -3*y + 2*z - 6 = 0. Let x = 20 + y. Calculate the remainder when x is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 33, -0.3, -1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -36 + -46. Let o = w + 31. Let j = o - -54. What is the second smallest value in -1, 0.3, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1580958 and 1841198.\nAnswer: 6506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the second derivative of 25*d**3\/6 - 1048*d. Let a(p) = -2*p**2 - 2. Give j(a(q)).\nAnswer: -50*q**2 - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o**2 - 17*o - 14. Let x be n(-14). Let z(i) = -2*i + x - 16 - 12. Give z(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -24, 0.01, 0?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wr when two letters picked without replacement from {w: 6, r: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the first derivative of -j**3\/3 + 9*j**2\/2 + 6*j - 1. Let c(o) = o + 2. Let v be c(3). Does 9 divide m(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 60*b**2 - 107*b + 198. Determine h(2).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**2 - 8*r - 7. Let x be k(-5). Calculate the greatest common divisor of x and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -231509\/29736 - 1\/4248. Let s(z) = z + 2. Let x be s(-3). Calculate the common denominator of k and x - 6*3\/120.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14*g - 14*g + 2*g**3)*(-g + 3*g - g) - 2 + 0 + 2*g**4 - g**4.\nAnswer: 3*g**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1508.296724 rounded to the nearest integer?\nAnswer: -1508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 15.98 + 5.02. Which is the closest to 0?  (a) 5  (b) f  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(57)\/(sqrt(12)\/sqrt(4)) + sqrt(38)\/(sqrt(8)\/sqrt(4)))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -21145460*l**5 - 52837679*l wrt l?\nAnswer: -422909200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1550372, 1550369, 1550366, 1550363, 1550360?\nAnswer: 1550357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 18*k**3 - 212*k**2 - 5*k + 5. Let z(p) = 14*p**3 - 212*p**2 - 4*p + 4. Give 4*j(b) - 5*z(b).\nAnswer: 2*b**3 + 212*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 42375 * -188.\nAnswer: -7966500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o - 0*q - 3*q, o + 22 = -5*q. Let h = 6 + -8. Let r = h - -1.5. Put r, o, -0.2 in decreasing order.\nAnswer: o, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q - 8*q + q)*(0 - 2 + 1)*(q**4 - q + q).\nAnswer: 7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1891 + -1889. Factor 1\/10 + 1\/5*t + 1\/10*t**w.\nAnswer: (t + 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hidf when four letters picked without replacement from nihmnfd.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -94*k**3 - 109*k**3 + 24*k**3 - 5*k**3 + 4*k**3 + 0*k**3 + (k**3 - k**3 + k**3)*(-5 + 2 + 2) + (3 + 1 - 6 + (-3 - 1 + 2)*(1 + 0 + 5))*(2*k**3 + 1 - 1).\nAnswer: -209*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Do 1\/361 and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51026674 - 140670304 = -15*q + 52953022. What is q rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6003 + 10525 = 133*y for y.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes after 11:16 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/72 + 253\/(-18).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000009189514 rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 61\/2 of a millennium?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 42070413 and 231?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -5, -25, 6 in decreasing order.\nAnswer: 6, -0.2, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 85\/(-8)*8952\/11190.\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(1\/3)*h**(-2\/41))**(-36)*(h**(1\/2)*h\/(h*h**(-8)*h*h))\/((h\/((h\/(h**(2\/17)\/h))\/h)*h)\/h**(4\/9)) assuming h is positive.\nAnswer: h**(-55417\/12546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.108373l in millilitres?\nAnswer: 7108.373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 29*i**3 - 22*i**2 + 35*i. Give n(4).\nAnswer: 1644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes after 7:32 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -9*u - 2. Let z(l) = -18*l - 3. Let s(b) = 5*t(b) - 3*z(b). Let n be s(1). Let a be 4 - (14\/105 + (-665)\/(-75)). Put n, a, 2 in decreasing order.\nAnswer: n, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n*n**(-4\/7)*(n*n**6)\/n)\/(n**(-6)*n**(-1\/4)))**(7\/11) assuming n is positive.\nAnswer: n**(383\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 458 minutes before 5:06 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0004687643 rounded to seven decimal places?\nAnswer: 0.0004688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 45.05 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z + 1. Let m(h) = -12*h + 25. Let r = -15 - -8. Let s(y) = 1718*y - 859*y + 8 - 863*y. Let t(w) = r*s(w) + 2*m(w). Determine -t(a) - 3*v(a).\nAnswer: -a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 + 5)\/(3\/(-4)). Let d be (-3 + 3)\/(1 - (6 - 3)). Sort 2, d, q in ascending order.\nAnswer: q, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert c15079 (base 13) to base 3.\nAnswer: 22110101012111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00024698 to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b**2 + 4*b + 3. Let t be m(4). Suppose 0 = t*r, y + 3*r = 4*r + 331. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -2*k + 4 + 11 + 0*k. Let u(c) = c - 7. Let x(f) = 6*i(f) + 11*u(f). List the prime factors of x(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*i**2 - 2*i**2 + 3*i**2)*((-4 - 5 + 2)*(3*i**2 + 10*i - 10*i) + 2*i**2 - i**2 - 3*i**2).\nAnswer: 115*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -219225, -438457, -657689, -876921, -1096153, -1315385?\nAnswer: -1534617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4897 + 4878 + (0 - (-49 + -2))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -854, -3329, -7440, -13205, -20642, -29769, -40604, -53165?\n\"Answer: -3*f**3 - 800*f**2 - 54*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 1 + 0)*(-f**2 - f**2 + 4*f**2) - 40 - 32*f**2 + 40 + (-7 + 1 - 1)*(-2*f**2 + 10*f - 10*f) to t + q*f + z*f**2 and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2*1 - (-1 - (-4 - 1)). Let d(l) = 0*l**2 + 4*l + l**3 + 1 + 4*l**2 + 3*l**2. What are the prime factors of d(g)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 406 and 1556140?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**3\/11 + 18328*c**2\/11.\nAnswer: -2*c**2*(c - 9164)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65 = -5*r + 2*d - 7*d, -3*r = -5*d - 63. Let b be 6\/9*360\/r. Calculate the highest common divisor of b and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, z: 3, f: 5}. Give prob of picking 1 z and 1 f.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the third derivative of c**8\/504 + 2*c**7\/21 + 53*c**6\/30 + 136*c**5\/9 + 209*c**4\/4 + 90*c**3 - 50*c**2 + 2*c. Solve d(r) = 0 for r.\nAnswer: -10, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1356 and 4?\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 789690731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that 11*x**3 - 1290979*x**2 - 3873080*x + 5164048 = 0.\nAnswer: -4, 1, 1291012\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 927941?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -11*j - 30694 + 30507 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0 - (-1118)\/16 - 16\/(-128). Let r = s - 55. Solve 10 + r = 5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 224 = -6*q. Let x be 2416\/28 + (-8)\/q. Suppose 2*t = 2*z - x, 4*z - 3*t - 241 + 67 = 0. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*p - 15*p - 11 = 0. Let x(v) = v**3 + 9*v**2 - 25*v - 8. Let f be x(p). Solve -11*j + 16*j = -f for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 - 1) + 1 + -1. What are the prime factors of a\/(2\/(-40)) - 1?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4916 divided by -8.\nAnswer: -1229\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b + 1. Let d = 1 - 7. Let z(n) = -n**3 - 4*n**2 + 4*n. Calculate the remainder when z(d) is divided by v(-16).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 595054 and 4.\nAnswer: 595058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -183 divided by -4?\nAnswer: 183\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1fb98cf + 0?\nAnswer: -1fb98cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/4 or -277?\nAnswer: -277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 531603 to the power of 1\/2, to the nearest integer?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 19, 34, 59, 100, 163?\n\"Answer: f**3 - f**2 + 11*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (8\/5)\/((-1)\/(-5)). Let c be (-25)\/(-10)*q\/10. Solve 0 = -5*p + i - 19, -5*p + c*i + 10 = 33 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 115 + -69. What is the greatest common factor of v and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in -5\/3, 8, -2229, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.15824 and -3.\nAnswer: -0.47472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 + 0)*(-4 + 4 - r)*(-31 - 27 + 62).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6409 is divided by 708.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from {v: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18 and 650?\nAnswer: 5850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, -2866\/651, 0.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 124101982?\nAnswer: 2, 3943, 15737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 25 (base 10) to base 7\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 452 + 1452. Suppose -4*l + x = 24. Suppose -8*b = -3*b - l. List the prime factors of b.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6840157 is divided by 8455?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -140181966 or -140181960?\nAnswer: -140181960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-29)\/58)\/(3*1\/(-78))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:44 AM and 2:01 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5593\/18066 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvxztt. What is prob of sequence xvzv?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 10 - 4 + 12*g)*(3 + 7*g - 3)*(-2 + 2 - 1).\nAnswer: -84*g**2 - 14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -73416 (base 10) to base 13.\nAnswer: -27555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 27\/(-27)*1*5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.24 bigger than 2\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 2*t + 14. Let h be r(-8). Let f = 970.7 + -971. What is the fourth smallest value in h, f, 2\/7, -1\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6491968741.\nAnswer: 41, 89, 1779109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 0.3, 4, -0.1, -4\/17?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(sqrt(170) + sqrt(170) + -1*sqrt(170)))\/(2*sqrt(20)))\/((-1*sqrt(4) + sqrt(4))\/sqrt(2) - (sqrt(72) - sqrt(72)*-1)).\nAnswer: -sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*o = -24*o + 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 74 - 115. Let k = z - -40.99979. Round k to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 330012114 (base 5) to base 11.\nAnswer: 881246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + 17 + (9 + -2 - 12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3436 - 10309\/3. What is the closest to -2 in 7, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes after 9:41 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 670145, 670141, 670137, 670133, 670129, 670125?\nAnswer: 670121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - i = -4. Suppose -37 = 3*s - i. Let k = s + 28. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u**5 + 280*u**4 - 1552*u**3 + 1000*u**2 + 1556*u - 1280 = 0 for u.\nAnswer: -1, 1, 5, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 287112 and 6024?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8694 and 396198?\nAnswer: 2773386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 831939341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1103 + 1176. What is the remainder when j is divided by 24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y - 4*p - 7, p + 18 = 5*y - 5. Suppose -2*w + 4*n = 0, -y*w - n + 3*n + 8 = 0. Which is the closest to 0?  (a) 0.6  (b) 0.5  (c) 5  (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 10) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 2 = -2*r, -5*r - 3 - 2 = 2*c. Let t = 8 + c. Solve 2*m + 0*m = t for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -286 + 695. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 4*s**3 - 80*s**2 - 1560*s - 153. Calculate h(-12).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -3*s**2. Let f(r) = 344*r**2. Give q(f(a)).\nAnswer: -355008*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -78 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17980961?\nAnswer: 31, 580031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (14 - -1) + (114 - 176) + -34?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the second derivative of -m**3\/2 - 86*m - 13. Let l(z) = -9*z - 58*z - 24*z + 14*z. Determine h(l(b)).\nAnswer: 231*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.18 - 0.11. Let n = -4.93 - g. Which is the smallest value?  (a) n  (b) 0  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 725 + -727. Let v be y\/8*(94 + -94). Solve 4 + v = 5*g + 3*r, -4*r - 10 = -g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 + 142 = -3*n - g + 3, 12*g - 19*g = n + 9 for n.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i\/(i**(2\/5)*i*i)))**(4\/15)*(i*i**(-19))\/(i\/(i*i**13*i)) assuming i is positive.\nAnswer: i**(-84\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 + 8. Let t = 28 - q. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 151 + -104. Let k = 78 - a. Let d = k + -18. Solve -3*x + 19 = -3*t + 4, -3*t = -x + d for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 516*y**2 + 2*y**4 + 518*y**2 + 87*y**3 - 1032*y**2 + (0*y**4 + 3*y**4 - 2*y**4)*(-5 + 4 + 2).\nAnswer: 3*y**4 + 87*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o**3 + o**2 + 24*o - 74. Give f(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1280329\/72 + -17782. Calculate the common denominator of z and 73\/63.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 + 9. Suppose 3*g = 3*y + 9, p*g + 3 = 4*y + 15. Solve -2*o = -b + 8, g = 3*b + 2*o + o + 12 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q - 2. Let y be u(-2). What is the units digit of y - -1 - (-2 - 6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1593 + 285. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the first derivative of -d**7\/840 + d**6\/360 + d**5\/60 - 28*d**3\/3 - 2*d + 18. Let o(r) be the third derivative of u(r). What is o(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the first derivative of 5*w**3\/3 - 18*w + 232. Let j(k) = 2*k**2. Calculate j(d(o)).\nAnswer: 50*o**4 - 360*o**2 + 648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 153219 in 0.4, -0.1, -0.3, 1\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-3 + (1*sqrt(832))**2*2).\nAnswer: -1661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 4*d = -14, 3 = -4*d + d. Let v be 2\/j + 194\/6. Let x = -577 - -581. What is the highest common divisor of v and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 5 - 1*((3 - 2) + 0). What is the third derivative of -u**3 + 609*u**4 + 16*u**2 - 604*u**a - 3*u**3 wrt u?\nAnswer: 120*u - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -2*m**2 + 51*m + 38. Let b be q(26). Let x(y) = 3*y**2. Let h be x(-6). Calculate the greatest common factor of b and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 315\/(-350)*(-10)\/(-6)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1011619309 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h = -11*h - 8, -745 + 1459 = -4*r - 3*h + 731 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10\/4617 - 4667\/23085. Which is the closest to -2?  (a) 5\/6  (b) x  (c) 18.6  (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -152*q - 2016. What is t(-14)?\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in seventy-five quarters of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3091 and 63811.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jwvvjvvvvvvvwvvvwvvv. Give prob of picking 2 v and 1 w.\nAnswer: 21\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of l**3*z**2 - 3*l**3*z + 983196*l**3 - l**2*z - 3591065*l*z**2 wrt l?\nAnswer: 6*z**2 - 18*z + 5899176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h**3 + 2*h + 15. Let j be f(0). Let i be (-582)\/(-10) + (-3)\/j. Suppose -x - 4*m + i = 0, -5*m + 59 = 2*x - 45. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2381?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = -3*a + 18, 0 = -3*o + 3*a + a + 4. Let v = o - -2. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49043231 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, c: 1, h: 4, o: 7, r: 2}. Give prob of picking 1 i and 2 h.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.5 in -2\/21, -3, -0.1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14366550, 14366544, 14366534, 14366520, 14366502, 14366480, 14366454?\nAnswer: 14366424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14)\/(-10)*2*-20*13\/104 + 98.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5140)\/2056*(-12)\/50?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 12.40737647 rounded to two dps?\nAnswer: 12.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6 + -5. Let i(f) = -3*f - 4 - 14 - n. Let c be i(-13). What is the highest common factor of 8 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) -0.042  (b) -6  (c) -2\/23  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(5 + ((-5 + sqrt(1331)*1 - (5 + sqrt(1331) + 0)**2) + 3)*-6).\nAnswer: -40765 - 2970*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2064*g - 15624 = -667*g - 963*g for g.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -35.764 to one decimal place.\nAnswer: -35.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*(s*s\/(((s**(13\/3)*s)\/s)\/s))\/s*s)**(3\/20) assuming s is positive.\nAnswer: s**(-1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -0*k + 2*k - 10, k = -3*n + 9. Suppose -25 = -w - n*r + 5, 40 = 4*w - 4*r. Suppose 17 = q - w. List the prime factors of q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 1 = 2*g. Let q = 7189 + -7187. What is the second smallest value in 68, q, g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 7 + -2 + (1 - 2). Suppose -2*b - r = -16. Factor 189*c**5 - 186*c**5 + 18*c**3 - 12*c**4 - b*c**2 - 3*c**3.\nAnswer: 3*c**2*(c - 2)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/24 and (-3)\/24 - 134\/112.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 110 and 28?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -152*n**2 - 355*n**2 - 12 - 62 + 74.\nAnswer: -507*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.03 in -0.3, -810.7, 3\/8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/14855 and -18\/56449.\nAnswer: 282245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000009479 to seven decimal places.\nAnswer: 0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1220557746 by -3.\nAnswer: -406852582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*u**3\/5 - 309*u**2 + 47136*u\/5 - 370944\/5.\nAnswer: 3*(u - 483)*(u - 16)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 8, s: 2, m: 1, j: 7, p: 1}. What is prob of picking 3 x?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -8*r - 3. Let h(k) = -15*k - 5. Let g(v) = -11*a(v) + 6*h(v). Let x be g(-4). Is 11 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80*f + 56*f + 35*f - 2227 = 680 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4667 in -0.4, 2\/3, 1, -12, 1\/3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**2 - 24*z - 1. Give m(23).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 230880 = 108*t - 8*t - 4*t. List the prime factors of t.\nAnswer: 5, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n**3\/3 + 36629072*n**2\/3 - 111807421841455*n + 223614794844150 = 0.\nAnswer: 2, 18314535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b - 3 + 3)*((4 - 3 - 3)*(-1 - 1 + 4) - 4 + 1 + 1 + 4 + 0 - 10).\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 6*x + 86. Let y be f(-13). Let h be ((-72)\/15)\/y + 126\/10. Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w*w\/w**(-21)*w*w*w*w**(2\/7)*w)\/(w**(-8)*w**29))**(16\/9) assuming w is positive.\nAnswer: w**(272\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = -2*t - 21. Let v = t + -5. Let q(b) = -7*b**2 + b**2 - 3*b**2 + 3*b**v. Let w(l) = -l. Calculate w(q(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -53*o**3*y**2 + o**3 + o**2*y - 4*o**2 - 3*o*y**4 + 14*o*y**2 - 4 wrt y?\nAnswer: -106*o**3 - 36*o*y**2 + 28*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -20cc + -3?\nAnswer: -2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*s + 2 - 4*s - 3 - 3*s to the form n*s + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b**(-3\/23)*b)**(4\/27))**(-19))**(23\/3) assuming b is positive.\nAnswer: b**(-1520\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 - 1.5. Let z = -22 + 13. Let u = 6 + z. What is the nearest to 1 in a, u, 2\/15?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10992 is divided by 1373.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*a**2*h + a**2*l**2 - 27*a**2 - 886*a*h*l**2 - 9 wrt h?\nAnswer: 2*a**2 - 886*a*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + o - 24 = a, -2*o + a = -17. Suppose 0 = -o*s + 3*s + 144. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the second derivative of -k**7\/84 + k**6\/20 + k**5\/8 - 5*k**4\/8 - k**3\/3 + 3*k**2 - 6641*k - 2. Find m such that z(m) = 0.\nAnswer: -2, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2*6\/(-8))\/(7*54\/2772)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 88 is divided by 61.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = b - 4, -3*m - 2*m + 2*b = -2. Solve -m*d - 15 = -5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z + 2 - 0, 0 = -2*q + z - 28. What are the prime factors of (36\/q)\/(-1)*10?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 2*s + 4 = 28, 3*s + 40 = 5*l. Suppose 4*y + 18 = 3*a + 50, 0 = -y - 3*a + l. Calculate the highest common factor of 40 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 146.601 and -4152.\nAnswer: -608687.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-8)\/j)**(-20)*j**9\/(((j*j*(j**(-1\/6)\/j)\/j*j)\/j)\/j) assuming j is positive.\nAnswer: j**(1141\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(34)\/(1*sqrt(2)))**2 + 2.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 185506501 a multiple of 403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16 and 29029712?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2257 = 17*r + 251. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 288 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**3 + 3*r**2 + 2*r + 3. Let c be m(-2). Suppose 3*f - 2*k - 160 = 0, -f + c*k + 84 = 26. Is (f\/6)\/(3\/9) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0131092 rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1297797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -14*g + 242. What is the remainder when h(0) is divided by 85?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.056 + -3.944. Which is the second smallest value?  (a) w  (b) 4  (c) 7  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -162269 times -2.2?\nAnswer: 356991.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -18*b**5*c - 3*b**5 + 57*b**2*c + c wrt b.\nAnswer: -1080*b**2*c - 180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2 and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 954 divide 20144547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19443 is divided by 527.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -157190 by 110.\nAnswer: -1429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -2*q**2 - 3*q - 2. Let m(u) = u**2 + u + 1. Let k(a) = -8*a**2 - 8*a - 8. Let f(v) = 2*k(v) + 18*m(v). Calculate 4*f(s) + 3*p(s).\nAnswer: 2*s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (3 - -1 - (-1 + 4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 1771*v. Let x(s) = 40*s**2 - 1. Give p(x(d)).\nAnswer: 70840*d**2 - 1771","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -15 greater than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*g + 5*i - 7, -77*i + 80*i - 21 = 3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3293 + 6*m**2 - 376 - 2142 + 1544 - 2801.\nAnswer: 6*m**2 - 7068","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 88 + -86. Let w(h) = -2. Let i(f) = -f + 11. Suppose 0 = b - 3*b + 22. Calculate b*w(p) + z*i(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (21\/90)\/(93 + 10040\/(-120))?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 8*b**2. Let o(p) be the third derivative of 38*p**5\/15 + 242*p**2. Determine -112*m(z) + 6*o(z).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**3 - y. Let k(d) be the first derivative of -5*d**4\/4 - 3*d**2\/2 - 630. Determine 3*g(u) - k(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 4*w = 580, 2*w - 4*w = -4*h + 1130. Suppose 83*m = 88*m - h. What is the smallest common multiple of m and 77?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 5 = -4*a - o, 4*a - 2*o - 10 = 0. Let y = -4 - -9. Suppose a = y*i - 0*i. Let f(t) = -t**3 - t**2 + t + 8. Calculate f(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*z**2 + 0*z**4 + z**4 + 1 + 0*z**2 + 3*z**3 + 0*z**2 to the form j*z**4 + y*z + c*z**3 + h*z**2 + p and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes before 11:33 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -162 = -99*o - 1944 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 62556348 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - (14436\/(-1026) - -28)\/(-2)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 + 0 + 2)*(-11*a + 137 - 69 - 72) in the form i*a + b and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8337?\nAnswer: 3, 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 - 0. Let s(x) = 3*x + 3. Let z(f) be the second derivative of 2*f**3\/3 + 2*f**2 + 8*f - 4. Calculate u*s(v) - 2*z(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p + 3*s = 9 - 37, -2*p = 20*s - 25*s - 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2306366*s + 1 = -2306369*s - 5*j, 0 = 14*s - 4*j + 32 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 3*c - 34 = -3*v, -2*v - c = -26. Let z = 32 + v. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 92\/230 - (-12)\/(-105).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 20952945 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 v when two letters picked without replacement from zzeevvveevvzeeeve?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -56 - -94. Let q(n) = -5*n + j - 34 + 3*n + n**3. Determine q(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -4*s**5 + 156*s**4 + 280*s**3 - 4800*s**2 = 0.\nAnswer: -6, 0, 5, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1269361, 2538724, 3808087, 5077450, 6346813?\nAnswer: 7616176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 7*i**3 + 5*i + 5. Let v(t) = 10*t**3 + 7*t + 7. Let d = -80 + 84. Suppose -4*y - 26 = 2*z, 5*y - 40 = d*z + 9*y. What is z*h(a) + 5*v(a)?\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 2*k**3 + 8*k**2 - 2*k - 6. Let i be r(-4). Suppose -2*c + 247 = 3*o - 145, -404 = -i*c + 3*o. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-60)\/25)\/(-3) + (-306)\/(-5) + 4. Solve -u = 60 - c for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3643450*s**2 - 21*s**3 + 24*s**3 - 3643450*s**2.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -5, 45031, -21, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.627424 to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (4\/(-5))\/(8\/(-60)). Suppose -2*r - 2*d = 0, -2*d = 5*r - f - 6. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -2075, -16564, -55891, -132476, -258739, -447100, -709979, -1059796?\n\"Answer: -2070*l**3 + l**2 - 2*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -471 + 66.9. Round r to the nearest ten.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*k**3 + 692*k**2 + 5764*k + 5068.\nAnswer: -4*(k - 181)*(k + 1)*(k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 2*k + 16 = 0, 3*k = 4*p - 6 - 30. Calculate the least common multiple of p and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/(-6) + 231\/(-198).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04916 times -13?\nAnswer: -0.63908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -2*o**3 - 51*o**2 - 23*o + 41. Calculate g(-25).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.15 in 2\/5, 1\/5, -1\/5, 91?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/((-28)\/(-637)*-7)\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 161848849301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 52303*0.18.\nAnswer: 9414.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen thirds of a minute in seconds?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-114)\/(-95))\/(-39*24\/180)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the second derivative of 521*d**4\/6 + 427*d. Let b(o) = -2*o**2. Determine i(b(u)).\nAnswer: 4168*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*m - 28 = 3*m + 4*v, 4*m - 32 = 5*v. Let z be (-2 - -1 - 3) + 6. Solve -z*s = m*s - 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4538170 by -69.\nAnswer: 4538170\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-1 + -56)*(-18)\/27?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -381420200 rounded to the nearest one million?\nAnswer: -381000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1246.267 centimeters in nanometers?\nAnswer: 12462670000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 1 - 3)*(-r + r - r**2) + r - 4*r**2 - r + (-2*r + r + 2*r)*(r + 1 - 1) to s*r + d*r**2 + i and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -165 divided by 3.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 5*f - 5 = 0, -5 = -4*u - 5*f + 10. Let p = 6 - 6. What is the second biggest value in u, p, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/18 and -111\/3470.\nAnswer: 31230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-12 - 11*o - 11*o + 21*o)*(-1 + 3 - 3) in the form q*o + b and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00005531 to six decimal places.\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p + 20 = 4*q + 3*p, 4*q = 5*p + 28. Suppose 4*z - 13 = 5*c, q*z - c + 5*c = 0. Solve z*n - 4*o + 12 = -0*o, 2*n + 4*o = -4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3 + 1. Suppose -50*a + 45*a + 4610 = 0. Suppose a - 928 = -3*n. Solve 6 = d*w - n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -207*k - 19892 = -11783 + 10935 for k.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the second derivative of 7*y**5\/50 + 29*y**4\/15 + 13*y**3\/3 + 14*y**2\/5 - 136*y. Factor l(h).\nAnswer: 2*(h + 1)*(h + 7)*(7*h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 83 is divided by -12*(-2)\/(14\/7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from sakakesg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**2 + 166012*y - 3444998018.\nAnswer: -2*(y - 41503)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1835951180 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 7*a + 3. Let o(u) = -3*u - 1. Let b = 2 - -3. What is b*o(q) + 2*p(q)?\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**2 + 12*c + 30. Suppose 0 = -9*w - 3*w - 72. Let r be u(w). Let q be (-3)\/r*6*4\/3. Solve q + 0 = 4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 5*u + 8. Let b(h) = -h**2 + 9*h + 15. Give -3*b(w) + 5*z(w).\nAnswer: 3*w**2 - 2*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-286)\/120 - (-17)\/340?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*k - 2*k**2 + 0*k)*(3*k**2 + 127*k - 137 - 136*k - 274) - 3*k**4 + 5*k**4 - k**4 as x*k**3 + g*k**4 + p*k + y*k**2 + u and give y.\nAnswer: 822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**3 - 6*a**2 + 22*a - 13. Let x be o(1). Put x, 4, -5, 44 in descending order.\nAnswer: 44, 4, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = -14 - 1, 5*b = s + 3363. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g - 5. Let f be 4*(5 - -5) + -1 + 1. Let n be ((-32)\/f)\/((-1)\/(-10)). Let m be s(n). Calculate the greatest common factor of 2 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 109430.\nAnswer: 2, 5, 31, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**2\/6 - 7985*r\/6 + 1331.\nAnswer: -(r - 1)*(r + 7986)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + -3*sqrt(252))**2 - (sqrt(252) + sqrt(252) + sqrt(252)*-1 - sqrt(252) - (-1*sqrt(7) + 1))**2.\nAnswer: 182*sqrt(7) + 2285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + -12 + (6 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 14 - (35 + (2 - 19) - 22).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -50 and 569?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -131, 0, -5, 15, -1 in ascending order.\nAnswer: -131, -5, -1, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001314242 rounded to 5 dps?\nAnswer: -0.00131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 + 13. Let k(w) be the third derivative of w**6\/120 - 13*w**5\/60 + 5*w**4\/8 - 29*w**3\/6 - 23*w**2. Let o be k(12). Solve o*r - 2*r - q = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 658 - -613. Suppose -7*c = r - 102. Round c to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 81 and 1593.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21 - 2*t - 21)*(25*t**2 - 36*t**2 - 64*t**2)*(3*t + 2*t - 3*t).\nAnswer: 300*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 582*g = 1360 - 20566 for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -65*d**3 + 5*d**4 + 2*d**2 + 41*d**3 + 25*d**3 - 7*d + 10*d - 2 in the form x*d**2 + r*d**3 + a + m*d + u*d**4 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -140\/50823?\nAnswer: -140\/50823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*s + 13*s - 4075 = 0. Let c = s - -820. Solve -2*a = -c*h - 0*a - 5, -4*h + 3*a - 4 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(52)*-4 - ((sqrt(13) - (sqrt(13) + sqrt(13) + -1)) + -5 + sqrt(26)\/sqrt(2) + -2))**2.\nAnswer: -480*sqrt(13) + 20836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u - 1 = -2*j, 4*j + 106*u - 1 = 111*u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -r**2\/6 + 1207*r\/6 + 403 = 0.\nAnswer: -2, 1209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0\/((-4 - 0)\/(-4)). Suppose d = -3*g + 4*g. What is the third smallest value in 1\/3, -4\/5, g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(1\/11)*r*r*r)\/r**30)\/(r\/(r*r**(6\/11))*r*r**(-1\/63)\/r) assuming r is positive.\nAnswer: r**(-18259\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*v = 60*v - 94. Calculate the smallest common multiple of 4111 and v.\nAnswer: 4111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 0.6, -2, 0.1, 0.5 in descending order.\nAnswer: 3, 0.6, 0.5, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x = 12*x - 12. Put 0, x, -3 in increasing order.\nAnswer: -3, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 6*t - 2. Let c be u(-2). Let r be ((-6)\/(-3) - c) + -4. What is the units digit of (-3)\/(4\/((-160)\/r))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pg when two letters picked without replacement from {p: 3, g: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does -65982490 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -9034*r**3 - 7*r - 2*r - 6*r**2 + 9035*r**3 + 5. Determine l(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 2*a**3 + a**2 + a. Let z be x(-1). Put z, -5, -2\/13, -1\/3 in ascending order.\nAnswer: -5, z, -1\/3, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2363*l + 2365*l = 10*y, 2*y + 3*l - 17 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from vmppvpvmvvmpv?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -7568, -30242, -67914, -120488, -187868, -269958, -366662?\n\"Answer: 16*g**3 - 7595*g**2 - g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 (base 15) in base 10?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4*192\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 7754980 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11931992, -11931984, -11931976, -11931968, -11931960, -11931952?\nAnswer: -11931944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -99\/57259 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 4400 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 8, j: 2, i: 3, g: 5, t: 1, v: 1}. What is prob of sequence gj?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4501822*q**3 - 10556543*q**2.\nAnswer: -27010932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -38.2797 to 1 decimal place.\nAnswer: -38.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/5  (b) -4  (c) 3\/5  (d) -185  (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p + 10. Let b be u(6). Suppose -d - 5*o + 10 = 0, b*d - 2*o = 2 + 38. Calculate the smallest common multiple of d and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3599298?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -9214 less than -2558?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 3 j when four letters picked without replacement from yfejpyjfyfyfffafeyfj.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -642, -1001, -814, 189, 2278, 5723, 10794?\nAnswer: 17761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h*h\/(h**(1\/3)*h)))\/(h**(-1\/2)\/h))\/((h\/h**3)\/(h\/h**(-6))) assuming h is positive.\nAnswer: h**(65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 74*n**2 - 3. Let b be o(-2). Suppose 2*q = 3*s + b, 286 = -0*q + 2*q + 4*s. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 8 = -0*x + 4*b, x - b = 5. Suppose -3*i + 30 = x*i. Let u(k) = 84 - 20 - 29 - 28*k - 27 + 29*k. Let q(w) = -w - 9. Calculate i*q(m) + 7*u(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -w - k - 1, 3*w + 2*k = -14 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -14.9 and -55.\nAnswer: 819.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n + 10 + 22. Suppose 0 = v - n + 2. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f - 22 = -5*m, -2*f = 9 - 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1401 is divided by 696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*-0.00645.\nAnswer: -0.03225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 32*v**2 + v. Suppose -5*q - 5*m + 5 = 0, -8 + 4 = -4*q - 5*m. What is g(q)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes before 9:51 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes after 8:50 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gkkgkkkkkgk?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 20308 and 5275003.\nAnswer: 21100012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 84 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-96)\/(-528) + 2330\/11. Let f = 303 - z. What is the highest common divisor of f and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 405 at least as big as 142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 13*z**2 + 12*z + 8. Let d be j(-2). Factor 169*b - 7444 + d*b**3 + 351*b**2 + 13*b**4 - b**3 - 1344 - 12*b**4.\nAnswer: (b - 4)*(b + 13)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -179*r**3 + 725*r**3 - 188*r**3 - 185*r**3 - 176*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5276847 and 0.2.\nAnswer: -1055369.4","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a - 6 = -4*k, -5*k + 3*a = -2*a - 30 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1337056\/4418)\/(-127)*-47.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -157978008, -157977997, -157977962, -157977891, -157977772?\nAnswer: -157977593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = o - 1. Let d(f) = 2*f - 16. Let h be d(5). Let v = h + 8. Solve 0 = v*n - 6 - o for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1282*u**3 + 477 wrt u.\nAnswer: -3846*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**2 + 8*h - 11. Determine n(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnppjjnnpn. What is prob of sequence jnpj?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16271, 64931, 145983, 259427, 405263?\nAnswer: 583491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -y + 7, 2*d - 11 = -2*y - 3. Let l(k) = 2*k + 3 + 3*k**2 - 3*k**2 + 2*k**2. What is the remainder when l(-2) is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 2*y**3 + 67*y**2 - 43*y - 80. Calculate the remainder when 927 is divided by k(-34).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.1 + -0.1. Let f be (0 - 1)\/((-11)\/(-55)). Let q(m) = m**2 + 4*m - 4. Let v be q(f). What is the nearest to 0.2 in v, -0.1, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/(-10*2\/16). Factor 2\/5*n**4 - 2\/5*n**2 - u*n**3 + 0 + 4\/5*n.\nAnswer: 2*n*(n - 2)*(n - 1)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1091\/774 + 17\/129. Let a = 371 + -44. Let f = 1257\/4 - a. What is the common denominator of f and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vsmvvvmmrvmvmsmmv. Give prob of sequence ssm.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*a + 3*t - 9, -2*a - 44 = -5*a + 4*t. Suppose -24*b + 4352 = a*b. Does 17 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**2 + 36*v + 4. Let p be z(-36). Suppose 0 = 2*c + 4*s - 60, c - p*s + 2*s - 30 = 0. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5 - 13\/3. Which is greater: -0.4 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**2 + 5*s + 6. Let x be (-3)\/12 + 16\/64. Let d be (7 + -2)*(x - 1). Determine z(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 262848080 and 71685840.\nAnswer: 788544240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*q = -12*q - 20. Let s(k) = -2*k + 22. Let v be s(q). Suppose v*w - 7*c - 64 = -3*c, 2*w - 54 = -c. Calculate the highest common divisor of 70 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 0.127437mm?\nAnswer: 127437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**3 - k**2 + 5*k + 3. Suppose w = -4*w - 15. Is 2 a factor of l(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-15471)\/(-12))\/9 + (-33)\/(-44). What is the highest common factor of g and 300?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r + 8*r + f = -8, -f + 1 = 5*r - 3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.04116 and 205.\nAnswer: 8.4378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the third derivative of w**7\/840 - w**6\/90 - w**5\/120 + w**3 - 2*w**2. Let l(z) be the first derivative of r(z). Give l(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 149041, 298080, 447119?\nAnswer: 596158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 = 4*z - 62. Suppose -82 = z*n - 86. Does 10 divide n - 1 - (-251 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 68429593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 10\/(2 - (0 - 0)). Suppose -z - z = -q*s - 31, 30 = 5*z - 3*s. Solve 1 = z*b - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1*(-1)\/(4\/(-32)). Suppose i*s - 92 = 4*s. List the prime factors of s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 89 minutes before 7:30 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (60\/(-10))\/6 + 4 + -1. Solve -a*n + 20 = -4*y, y + 5 = 2*n - 0*y for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-5 + 3*((sqrt(1053) - (sqrt(1053) + 1)) + sqrt(1053)) + 5 + 2)**2 + -3.\nAnswer: -54*sqrt(13) + 9474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z = 9*z - 447. Suppose -5*s + z = -316. Suppose j - s = 67. What is the greatest common factor of j and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 5586602*t. Let r(i) = i**2. Calculate r(x(v)).\nAnswer: 31210121906404*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/(-4)*(-76)\/133. Let k = 0.2 - -0.3. What is the biggest value in b, 3\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1022586 to three decimal places.\nAnswer: 0.102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10722744.\nAnswer: 2, 3, 148927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 2324, 4670, 7048, 9464, 11924, 14434, 17000, 19628?\n\"Answer: x**3 + 10*x**2 + 2309*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -162 - -1 - (-3 - -1). Let d = 116 - g. Is 24 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6039300 (base 12) to base 5\nAnswer: 14101302341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqccqcqqcq. What is prob of picking 4 c?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 j when two letters picked without replacement from emyyenpmjemyj.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 22.6125211 to 3 decimal places.\nAnswer: 22.613","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Do 138 and -2778 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:33 PM and 12:09 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 3 = 3*x - 2*r, -2*x = r + 9. Let a = 2 + x. Let y = 2 - a. Sort -1, 2, y in increasing order.\nAnswer: -1, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.7294288 months in millennia?\nAnswer: 0.0002274524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -3*f**2 - 13*f - 16. Let k(t) = -7*t**2 - 26*t - 33. Let s(a) = -2*k(a) + 5*w(a). Let u be (-69)\/6 - (-2)\/4. What are the prime factors of s(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 130187, 130181, 130175, 130169, 130163?\n\"Answer: -6*m + 130193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*n - 55 = 179. Let r be 4\/n*(-1 - 5) + 8. Solve -r*x + 1 + 0 = 3*d, 2*d = 2*x + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -134 + 218. Calculate the remainder when 6\/21 - (-3000)\/l is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) 26  (c) -0.292  (d) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(1\/3))**(-19)*((q*q**(-2))\/q)\/q**5 assuming q is positive.\nAnswer: q**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 85308 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 264 = -5*r, -3*i + 732 = 3*r - 0*r. Suppose -4*u + 9 = -4*p + 61, -4*p - 4*u = -84. Suppose -3*g + i = p. What are the prime factors of g?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the first derivative of u**4\/4 + 2*u**3 - 7*u**2\/2 - 2. Let v be a(-7). Let o(x) = -7*x + v*x + 9*x. Let z(c) = 8*c**2. Calculate o(z(d)).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 203.11, -2\/43, 5?\nAnswer: 203.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 80104815 and 6525?\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -4204, -4442, -4680, -4918, -5156, -5394?\n\"Answer: -238*j - 3966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2014514 or -2014529?\nAnswer: -2014514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -23.61 - 0.39. Let p = 5\/497 - 21\/71. Which is the closest to p?  (a) 5\/2  (b) y  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -4*i - 4. Let t = 259 + -259. Suppose t = -3*g + 15 - 30. Give x(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -3 - (39\/(-4) + 7)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -9797, -9721, -9645, -9569, -9493, -9417?\n\"Answer: 76*m - 9873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (17 + 116*n - 17 - 36*n)*(-5*n**3 + 2*n**3 - 4*n**3) in the form s + r*n**2 + u*n**4 + m*n**3 + c*n and give u.\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 7666427856 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**3 - 7*p**2 + 4*p + 4. Calculate o(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10282 = 4*l - 10322 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - -2) + 1 - ((-43 - -36) + 18)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 27*w**3 - 2*w**2 + 2. Let c(u) = -u**3 - 2*u**2 + u - 4. Let m be c(-3). Let d be l(m). Let f = d + 1. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8690567393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -4*q + 40939. Let l(a) = -12*a**2 - 15. Give c(l(s)).\nAnswer: 48*s**2 + 40999","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (90\/2)\/(33066\/7348)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**2 - 22*y + 2605. What is the ten thousands digit of n(119)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (6 - 2) + (-3)\/1. Suppose -5*b = 3*s - 67, 30 + 12 = 2*b + 5*s. Let j be (63\/(-14) + 4)\/(b\/(-2)). Are j and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00081795 to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -64*l - 5329 + 2662 + 2667.\nAnswer: -64*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5070 - 2126. What is the hundreds digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/15 + (-1728)\/810. Let g(h) = -h**2 + h + 1. Suppose 10 - 1 = 3*t. Let l(x) = -x**2 + 2*x + 1. Determine t*g(a) + y*l(a).\nAnswer: -a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -2*n**2 - 52*n - 62. Let x(t) = -2*t**2 - 51*t - 63. Let u(q) = 5*a(q) - 4*x(q). Let p be u(-27). Sort p, -1, 4 in ascending order.\nAnswer: p, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2222136, -4, -19, 3.\nAnswer: -19, -4, 3, 2222136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 48\/160699 and 30\/49.\nAnswer: 1124893","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (756\/(-6))\/9*1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -582409 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 4542 + 25047 = -3*u, -f + 34177 = -5*u. Let v be u\/6 + (-6)\/9. Round v to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(5 + (sqrt(99) + 2)**2) + (-1*sqrt(121)*-5)\/(sqrt(11) + sqrt(44)\/(sqrt(16) + sqrt(4)) + sqrt(11)).\nAnswer: -540 - 405*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6908 and 17627332.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 35\/11?  (a) 0.242  (b) -5  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/q**6)\/q*q**14*((q\/q**(-4\/3)*q)\/q)**8)**(-43) assuming q is positive.\nAnswer: q**(-3440\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 10 = -7*a. Suppose 5*t - a*o + 3 = 14, -17 = -5*t - o. What is the derivative of 2*p + 2 - t*p**3 + 1 - 2*p wrt p?\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.22 + 104.28. Let u = x + -106. Which is the biggest value?  (a) 5  (b) 8  (c) u  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the second derivative of -11*l**6\/30 - 7*l**4\/12 - 4*l. What is the third derivative of h(i) wrt i?\nAnswer: -264*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the second derivative of -w**3\/2 + w. Let r(l) = 2*l. Calculate c(r(q)).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 25.46 from -0.3.\nAnswer: -25.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1530 divided by 26.\nAnswer: 765\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2016, -3742, -5478, -7224, -8980, -10746?\nAnswer: -12522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -16*r - 11. Is v(-6) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 97*d + 684 - 684 as y*d + i and give y.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**2 + 11*b + 27. Let t(m) = m - 1. Let x(s) = -i(s) - t(s). Let p be x(14). Put -1, -3, p, 4 in descending order.\nAnswer: 4, p, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 4, y: 1, x: 1, q: 5}. What is prob of picking 1 y, 1 x, and 2 u?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2808 + -2794. Let u(d) = -d**3 - 3*d**2 - 2*d + 1. Let b(y) = -1. Let h(i) = 3*b(i) + u(i). Let p be h(-3). Solve -o + p + 0 = 0, o - x = 5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (q + q + 0*q)*(-3 + 3 - 2*q)*(476 - 1453 + 532) to the form h*q**2 + k + f*q and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 3656.72 times -0.3\nAnswer: -1097.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -222*c + 2. Let f(y) = -110*y + 1. Give 5*f(t) - 3*n(t).\nAnswer: 116*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 3*b + 25. Let k be o(2). Suppose 38*j - k*j = 3094. What are the prime factors of j?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -4*n**2 - 4*n - 6. Let x be i(-2). Let q be (0 - x)\/(-14 - -15). Calculate the highest common divisor of 14 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-23)\/(-92))\/(((-15)\/36)\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.5909 and 136335?\nAnswer: 136335.5909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 575 + -577. Sort w, -1, 152.\nAnswer: w, -1, 152","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -144 in -1, -0.4, -1\/2, 2\/9, -1\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1283315480?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that 1587*v**4 - 58788*v**3 + 301548*v**2 + 4498560*v + 9292800 = 0.\nAnswer: -80\/23, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 1, n: 1, h: 1, z: 2, v: 4}. What is prob of sequence hzrz?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 11 + -1 - (-3 + 1). Suppose 2*u + u + n = -3*i, i + 6 = -3*u. Suppose 0 = 2*v - 7*v. Sort v, i, 1 in decreasing order.\nAnswer: 1, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 - -0.00982543\nAnswer: -0.99017457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 76 = -5*i + 205, -a + 293 = -i. Let d = 547 - a. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14 + 9. Let p = 9 - 7. Put p, s, 0 in increasing order.\nAnswer: s, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -13\/4 in -4, 2, -5, -0.4, -0.33?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q + 10*q - 3171. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 + 1. Suppose -y*l - 138 = -0*l. Let s = l - -173. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(3\/13))\/w**(1\/11)*(w*(w*w**1)\/w)**(-2\/19) assuming w is positive.\nAnswer: w**(2525\/2717)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 179286 to the power of 1\/2, to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 9241 and 4.\nAnswer: 36964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, 0.9, -2\/13, 1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5 + 2. Let k be (-7)\/q - (-2)\/3. Let g = -0.13 + 5.13. Which is the nearest to 0?  (a) k  (b) 0.1  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.9 - -16106001\nAnswer: 16106001.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.0256492 from 0.3.\nAnswer: 0.2743508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -3701 divided by 6?\nAnswer: -3701\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1 - 2\/(-8))*28. Suppose 2*c - f = -3*c. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -365*h - 292*h - 681*h = 220*h + 73226 for h.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 4, r: 6, g: 2, b: 1, c: 2}. Give prob of sequence bic.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 7715281 a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y - 6 + 2. Is -1*(3 + y) + 6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66*p - 224 = 29*p + 69*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*f - f - 252 = 0. Calculate the highest common divisor of f and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g + 21 - 16. Suppose 2*x - g*x - 794 = -4*w, 2*w + 2*x - 404 = 0. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 8503488?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14411044 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -3*s. Let i be 4 + 1*(3 + (4 - 7)). Determine x(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15 + (-4628)\/312)\/((-5)\/4)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**3 - 4*c**2 + 5*c. Let h be o(-5). Suppose 3*b - 5*v = 14 + 44, b + 5*v + 14 = 0. Let k = b + -8. Solve 0 = -h*s - s - k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -100 (base 3) in base 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/4?  (a) 1\/4  (b) 5  (c) 26  (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 14505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + ((-6*(-1 + sqrt(147) - sqrt(147)) - sqrt(147)*-2*-3) + -5 - ((sqrt(147) - 5*sqrt(147)*-2 - sqrt(147))*-2 + 3)))**2.\nAnswer: 588*sqrt(3) + 28821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*a**3\/4 + 31*a**2\/2 + 1267*a\/4 + 297 = 0.\nAnswer: -108\/17, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5408 and 150535398?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*sqrt(150)*2)\/((sqrt(27)*-2)\/sqrt(9)))\/((5*(sqrt(90) + (sqrt(90)*1 - sqrt(90))))\/(sqrt(81)*-1)).\nAnswer: -18*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1751\/16 or -110?\nAnswer: -1751\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(190)\/(sqrt(50)\/sqrt(5)) + sqrt(2299) + sqrt(2299) + 1*sqrt(2299))*-3 - (1*((2 + sqrt(1539))**2 - sqrt(19)) + -1).\nAnswer: -1542 - 137*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the second derivative of -z**5\/6 - 11*z**2 - 15*z. Let v(q) be the first derivative of f(q). Let n(g) = -3*g**2. Give n(v(t)).\nAnswer: -300*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.0585 and -0.9.\nAnswer: 0.05265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -v - 2*v + 2895 + 307080 + 5*v.\nAnswer: 2*v + 309975","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1594943 + 254342 - 3994599 = -117*u. Does 15 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (((-24)\/(-5))\/(-12))\/(16\/(-10)). Let k(v) be the first derivative of 3*v + 0*v**3 - g*v**4 - 1 + 0*v**2. What is the derivative of k(y) wrt y?\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -14 + 177. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3133 divided by 1965?\nAnswer: -3133\/1965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 2550*o + 30585. Determine u(-12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1184 and 832?\nAnswer: 30784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -40\/229 and 51\/7.\nAnswer: 1603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*v**2 - 27 + v**2 - 28 + 55 + 72*v**3.\nAnswer: 72*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = j - 16. Suppose -4*i - 8 = -2*p + 10, -5 = 5*i + p. Which is the second biggest value?  (a) -1  (b) j  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*z + 3*z - 4*z)*(-35 - 83 + 217) + 3 - 5*z - 3.\nAnswer: -104*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-4)\/6)\/((-4)\/18). Suppose d + 7 = 76. Suppose -4*m = -5*t - d - 12, -r*t = 3*m - 27. Calculate the highest common divisor of m and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3630384009.\nAnswer: 3, 7, 23, 373, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 18.5569 + -5297486?\nAnswer: -5297467.4431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((-30)\/50)*24?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 71877.17 seconds?\nAnswer: 71877170000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 12 - w**2 + 3*w**2 + 0*w**2 wrt w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y\/(y\/y**1)*y))**(-26)\/(y**(1\/11)*y**(-7)\/y))\/(y**(2\/11)*y**(-1\/6))**20 assuming y is positive.\nAnswer: y**(1109\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 240571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2331710 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: b\"What is the mth term of 5, 5, 3, -1, -7, -15, -25?\n\"Answer: -m**2 + 3*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6405186 days in hours?\nAnswer: 15.3724464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 199 is divided by 53?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 27*i**5 - 61*i**3 - 4*i**2 + 644*i + 2 wrt i.\nAnswer: 1620*i**2 - 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 3*i**2 + 38*i + 26. Let n be g(-12). Let a(z) = 3*z**3 - 4*z**2 + 3*z - 2. What is a(n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 73245?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 46 - 45. Which is greater: x or 1\/37?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*s + 16 = -3*s + 5*v, 5*v - 8 = -2*s. Let u(f) = 7*f - 6. What is u(s)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -9.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 r when two letters picked without replacement from txtr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**12*u)**(-1\/27)\/(u**(-1\/8))**(1\/23) assuming u is positive.\nAnswer: u**(-2365\/4968)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 198 is divided by 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 9055561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = 4*o - 8, -4*s - 27 = -5*o - s. Find g such that g**3 + 6*g**3 + 65*g - o*g**3 - 69*g = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 5*t - 15. Let v be z(5). Solve -2*u - v = -2*o, 2*u + 0 = 5*o - 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r - 0*h + 5*h + 5, 2*r + 3*h = -3. Solve 6 = -2*i - r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.092 * 50.42.\nAnswer: -4.63864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m**3 - 9*m**2 - 5*m - 3. Let i be q(-6). Let p = -44 - i. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -k - 1 - 1067*k**2 + 3 + 1047*k**2 in the form i*k + n + a*k**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-14)\/140)\/(2\/12)*6*(-4)\/(-60)?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**2\/2 - 134*q + 8978.\nAnswer: (q - 134)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 29 = -9. Suppose -4 = c*i + 4*t + 12, 2*i + 3*t = -12. Suppose i = -5*l - 316 - 4. What is l rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 2*k**3 + 6*k**2 + 4*k. Let y be v(-4). Let h be (y\/(-27))\/(-4) - 0\/4. What is the third smallest value in -2, h, -4, 1\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0016082 rounded to 4 decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 5*a + 27 = 3*r, r + 2*a = -8. Let z = -7 + 12. Let s = 7 - z. Is r smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 501\/(-1*(-9)\/24). Suppose r = 1815 + q. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*g - 34 = -4. Let w = -13 + 1. Let f be 38\/8 + (-3)\/w. Which is greater: g or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = 3*o - 18, 12 = 2*o - 14*n + 9*n. Let m(k) = 39*k**2 - 2*k - 4. Let h be m(3). Suppose o*r + h = 5*y + 3*r, 3*r - 149 = -2*y. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -891*f**4*k*o + f**3*k*o + f**3*o*w - 2*f**2*k*o*w + 2*f**2 + 146*f*k*o*w + 15*f*o*w + 3*f*o wrt f?\nAnswer: -21384*f*k*o + 6*k*o + 6*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -8*z**2 - 123*z + 539. What is t(4)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(880))\/sqrt(5).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**3 + 5*z**2 - 3*z + 1. Let j be g(4). Let t be (-2)\/9 - 296\/(-36). Let s be -4*((-20)\/t + 2). Solve 0 = -j*r + 10, 0*r + s = -3*v + r for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 1)*(-7*p**2 - 11*p**2 + 6*p**2) + 2*p**2 + 4*p**2 - 3*p**2.\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.455625 rounded to 1 decimal place?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffomqmxl. What is prob of sequence qx?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 58, 113, 166, 217?\n\"Answer: -t**2 + 58*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-3)*(-621)\/69?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -16*u - 1. Let b be ((-12)\/(-2))\/(7 - 1). Give d(b).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22 = -5*m - 3*j, 10 + 0 = m - 3*j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:46 PM and 7:34 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -79 + 83. Let r be 1 + 1\/(-4*h\/(-16)). Solve s - 1 = -r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 43 + 7 = 0. Calculate the greatest common divisor of m and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67*t + 734426 = -155669. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 2*t**2 + 7*t + 1. What is the tens digit of l(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 14) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11799216 divided by -528.\nAnswer: 22347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:13 PM and 3:27 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-1)\/(z**(-3\/5)\/z))\/((z\/(z*z**(2\/21)))\/(z**(-1)\/z)))\/((z\/(z\/(z*z*(z**(-3\/7)\/z)\/z))*z)\/z**(-1\/9))**(-3\/17) assuming z is positive.\nAnswer: z**(-302\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 10a8 (base 13) in base 12?\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 234413 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -0.27799*-13506\nAnswer: 3754.53294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 83\/30 and -13\/500.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*w = 12*w - 7*h - 142788, -2*h + 142797 = 5*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**2. Let g(s) = -250*s**2 + 3*s. Give g(f(n)).\nAnswer: -250*n**4 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -327, -1, 0, -8, 5, 20 in ascending order.\nAnswer: -327, -8, -5, -1, 0, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -66, -460, -1526, -3600, -7018, -12116, -19230, -28696?\n\"Answer: -56*u**3 - 2*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -12 + 44 + -14 + -18\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 44 = 26. Which is bigger: w or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b - 14 + 34 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 l when two letters picked without replacement from ldllallmmlhlhmlhml.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**3 + 4*s**2 - 6*s + 14. Give w(5).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1 + (-2)\/(-4))*150\/45. Factor 1 - 5*j - 6 - 8*j**2 + 3*j**2 - i*j.\nAnswer: -5*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 289\/51*(-42)\/640 and 13\/22?\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 311517001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 120*u**2 - 33*u + 33. Let f(q) = 15*q**2 - 4*q + 4. Let c(j) = 33*f(j) - 4*o(j). Let y(k) = -k**2. Determine c(y(r)).\nAnswer: 15*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) - (sqrt(1377) + sqrt(1377)*2 + sqrt(1377)))**2 - (2 + sqrt(153) - sqrt(17)).\nAnswer: -2*sqrt(17) + 20823","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40*h - 70*h - 216 = -22*h for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0.4, 1\/225202, -0.2, -2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1539491367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3 + db2?\nAnswer: daf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 230319 is divided by 2425.\nAnswer: 2369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 91045?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 69.37794 months?\nAnswer: 0.5781495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 17367 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (311\/3732)\/((-42)\/84).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 7*o = -958360. Suppose -i - o = 28893. Let h = -89435 + i. What is h rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*u**3 - 2*u**3 - 2*u + 17219 - 16866)*(2*u + u - u).\nAnswer: 4*u**4 - 4*u**2 + 706*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*x**3\/7 + 492*x**2\/7 + 20172*x\/7 + 275684\/7.\nAnswer: 4*(x + 41)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60 = -12*c - 32*c + 60 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0 + 3 - 6 - -5. Suppose -30 = -5*x + 45. Let m = x + z. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -5*b + 1. Let g(l) = -62171*l. Determine q(g(u)).\nAnswer: 310855*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the third derivative of 17\/24*p**4 + 0*p**7 - 1\/42*p**8 + 0*p - 20*p**2 + 0 + 0*p**6 + 0*p**5 + 0*p**3. What is the second derivative of w(z) wrt z?\nAnswer: -160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -104*l**3 - 8*l**2 - 18*l - 5. What is the hundreds digit of w(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*5\/(-660)*-18.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 374983 to the power of 1\/2, to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*o**2 + 101*o**2 + 11*o**2 + 3*o**2.\nAnswer: 124*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 33*h - 64. Let g be o(2). Solve -4*t + 1 = b - g, b - 3 = 5*t for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = 5*z + 24. Is ((-2)\/z)\/((-2)\/(-36)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 368 and 460.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**2 - 5*t - 5. Let p be u(5). Let f(v) = v + 13. Is f(p) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3.298578 * -0.1\nAnswer: -0.3298578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1532, -5, 10, 22, 1, -3.\nAnswer: -1532, -5, -3, 1, 10, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**2 + 6*d - 4. Let p be t(5). Suppose 2*a + 3*a - 14 = -z, z - 5*a = -16. Let j be z*9\/(-15) - p. Which is greater: j or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.1  (b) 3\/4  (c) 98  (d) 2  (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22527 is divided by 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + 3*16\/24 + 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -577 + 153 + s**5 - 53*s**2 + 50*s**2 + (2*s**3 - 2*s**3 - s**3)*(2*s**2 - 2*s**2 - 3*s**2).\nAnswer: 4*s**5 - 3*s**2 - 424","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.02689 - -28466.3523.\nAnswer: 28466.32541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*u + 2*u + 2*u)*(-3 - 4 + 5) + 6*u + 32*u - u.\nAnswer: 39*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 102962, 411803, 926554, 1647215, 2573786, 3706267?\n\"Answer: 102955*n**2 - 24*n + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -52 - 3*w**2 + 140*w - 15*w - 109*w - 15*w to a + v*w + i*w**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = -4*h - 298, -74 = b - 4*h - 0*h. Let x = -48 - b. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 32) + (-86 - 37 - -198).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 12*d**2 - 5*d + 4. Let k be u(1). Let z(r) = -r**3 + 12*r**2 - 9*r - 27. Let j be z(k). Let q(a) = a**2 + 4*a - 4. What is q(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 741*q**2 - 152*q - 158. Calculate f(-1).\nAnswer: 735","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 19*y - 1388 + 4903. Let s = y + 309. What are the prime factors of s?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9617\/5745 + 14\/1915. Let y = -31 - -20. Let j = y + 6. Sort 4, s, j in descending order.\nAnswer: 4, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = 3*t - 5*z + 4*z, 0 = 2*z - 8. Suppose -268 + 324 = 7*w. Solve -t*n - 5 = -w*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 3*o**3 - 5*o**2 + 7*o + 3. Let l(m) = -4*m**3 + 6*m**2 - 8*m - 4. Suppose 5*w - 33 = 3*k, 1 = -2*w + 3*k + 16. What is w*d(h) + 5*l(h)?\nAnswer: -2*h**3 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*q + q - 4. Is 5 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 78.9682 rounded to one decimal place?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 17*d**3 - 235*d**2 - 3055*d - 60. Determine c(22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1146*r + 1144*r - 3476*r + 1165*r.\nAnswer: -21*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-72)\/30*40\/(-12). Suppose -6*w + 3*w = 4*j - 8*w - 12, 0 = 2*w. Sort j, -1, -2, k in descending order.\nAnswer: k, j, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 2*o - 1 = 2*b, -5*o = -4*b + 2. Suppose -b*w = -w - 28. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 424608990 to the nearest integer?\nAnswer: 20606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 494*b + 840*b + 68836 = 15476 for b.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 442 is divided by 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 818505*a**3 + 818498*a**3 - 1636991*a**3.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 6 + 3)*(3 + 3 + 1)*(u**3 - u**3 - 2*u**3) as y*u + t + a*u**3 + c*u**2 and give a.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (-2 + -1 - (-3 - -6 - 10))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 186  (b) 1\/4  (c) -8  (d) -1\/2  (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -592 - -997. Suppose 5*m = 5*u + j, 2*m + 4*u - 158 = 2*u. Suppose 0*d - 128 = -4*d. Calculate the highest common divisor of d and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 4*l = -78, -2*l - 128 = 3*g + 3*l. Let c = g - -71. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.087 + -4.913. Let x = -9 + 13. Let c = x + -4.1. Sort r, 4\/5, c.\nAnswer: r, c, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (5 + 2)*(33 + -31) + -8. Solve -9*d - 33 = -h for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-8)\/72*36\/(-3). Let w = -34 + 34.2. What is the second smallest value in p, 0.4, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x = 5*t + 8, 0 = 8*x - 18*t + 29*t - 15*t + 64 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -2566, -2535, -2504, -2473, -2442?\n\"Answer: 31*w - 2597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the second derivative of -3*h**8\/56 + 779*h**5\/20 - 768*h**4 + 1015*h. Find the third derivative of m(l) wrt l.\nAnswer: -360*l**3 + 4674","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 26 (base 13) to base 4\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-22*(-490)\/(-7546))\/((-26)\/6*(-6)\/(-14))?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.247903 months to millennia.\nAnswer: 0.00018732525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1575*r**3 + 3171*r**2 wrt r.\nAnswer: -9450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:46 AM and 9:19 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) -8.8  (c) -0.2  (d) -16.19  (e) 5\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 111505741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-3)\/(-10))\/((-6)\/8). Let o = -0.2 - -5.2. What is the second biggest value in o, x, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 21, 18, 13, 6, -3, -14, -27?\n\"Answer: -g**2 + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the second derivative of c**7\/980 + c**6\/315 - c**5\/84 - c**4\/42 - c**3\/3 - 6*c. Let p(r) be the second derivative of b(r). Factor p(n).\nAnswer: 2*(n - 1)*(n + 2)*(3*n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the third derivative of -13*j**8\/336 + 13*j**5\/10 + 48*j**2. Find the third derivative of i(b) wrt b.\nAnswer: -780*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 104274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21291 - 2*j**2 - 21291.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*y**2 + 2*y**2 + 2*y**2)*(-339 + 1899 + 324 + 2391 + 1622) to the form p*y**2 + c*y + d and give p.\nAnswer: -5897","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 1, 4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -3*o + 5. Suppose 3*s = 3, 3*s = o*k + k - 42. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 + 54. Let h = 52 - u. Suppose -3 - 36 = -k + 2*c, h = -k - 2*c + 39. Is k a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 139.9795 + -140. Let x = j - 0.0237. Round x to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -4*s**3 - 40*s**2 - 14*s + 6. What is the tens digit of z(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -80, 4, 27977 in descending order.\nAnswer: 27977, 4, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/5*i**3 - 4\/5*i**2 + 0*i + 0.\nAnswer: 2*i**2*(i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c + 4*d = 16, 12921*c = 12926*c - 5*d - 30 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 70480 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 711654 is divided by 16944.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1, -5, -23, -65, -143, -269, -455?\n\"Answer: -2*q**3 + 6*q**2 - 10*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 82698 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**4 - 122*u**3 - 11418*u**2 + 35298*u.\nAnswer: 2*u*(u - 111)*(u - 3)*(u + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = -3*f + 6. Let x(c) = 3*c**2 - 11*c + 1. Let z(d) = 2*d**2 - 10*d + 1. Let i(g) = -3*x(g) + 4*z(g). Give i(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 3.19687 days?\nAnswer: 76.72488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - 1 - (4 - (-5 - -5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 5  (b) -1.1  (c) -1\/87  (d) 1\/27  (e) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 205016 - 13?\nAnswer: 205003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(72)*-4*6 + (sqrt(72) - (sqrt(72) + -1))*5 + -1)**2*4.\nAnswer: -4608*sqrt(2) + 165952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add 327.1 and -0.03.\nAnswer: 327.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 373*l**3 + 39187*l**2 + 12569588?\nAnswer: 1119*l**2 + 78374*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -y**3 - 287*y**2 + 397*y + 1 wrt y.\nAnswer: -6*y - 574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2*1 - (-802)\/(-6). Let w = -133 - m. Let p = -3 + 2.7. Which is the second biggest value?  (a) w  (b) p  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -17102626, -17102628, -17102630, -17102632, -17102634?\n\"Answer: -2*k - 17102624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 4*b**3 - b**2 + 2. Calculate y(-2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13\/(-312)*(-1 + -7).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j**3\/13 + 256*j**2\/13 - 3290*j\/13 + 11172\/13 = 0. What is j?\nAnswer: 7, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 444*i**3 - i**2 - i + 1. Let o be j(1). Let g = 442 - o. Which is bigger: 4\/243 or g?\nAnswer: 4\/243","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 128\/(-32)*3*(-1)\/36.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 13 - 6. Suppose 0 = -q + 4*u + 65, -3*q + 161 = -2*u + c*u. What is the highest common factor of 38 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l*l**(-4\/15))**23*(l**19)**39 assuming l is positive.\nAnswer: l**(11713\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wdnw. What is prob of picking 1 n and 1 d?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p - 11. Suppose 4*d = 2*q - 0*q, 0 = 4*q - 2*d - 12. Suppose -q*t - 29 - 11 = 0. Let r be u(t). Is -2 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/26 or -5750803?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**3 - 5*z + 6. Let o be r(4). What is the greatest common factor of o and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -4*l**3\/17 + 1906*l**2\/17 + 99854*l\/17 - 154056\/17 = 0?\nAnswer: -49, 3\/2, 524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**3 + 6*b**2 + 3. Let m(n) = n + 15. Let z be m(-9). Let y(f) = z*f + 7*f**2 - 18 - 3 - 6*f**2. Let v be y(-9). Calculate g(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -368, -659, -1220, -2051, -3152?\nAnswer: -4523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 16 + (-9)\/((-18)\/8). Let l = r - 17. Suppose 0 = -3*k, l*c - 5*c + 16 = -2*k. Calculate the greatest common divisor of 12 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve f = 196*t - 199*t + 1, 17 = 3*t + 5*f for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 800211*h - 5601466. Give z(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 17 and 40556543.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 11*n**2 + 100*n + 1. What is h(-9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = 4*z + 37415, 0 = -4*h - z + 5*z + 29932. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1845823019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Round -355151900 to the nearest 1000000.\nAnswer: -355000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 4*a - 26. Is 13 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -14*o - 4830. Let t(w) = -w - 401. Calculate -3*a(x) + 35*t(x).\nAnswer: 7*x + 455","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -4*w + 36, 0 = k + 2*w + 21 + 15. Sort k, 5, -5 in decreasing order.\nAnswer: 5, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16685752971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 21622?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -3, 14818105 in increasing order.\nAnswer: -4, -3, 14818105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 divided by 2947?\nAnswer: -1\/421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0\/5 + (-6)\/(-152). Let w = -1\/246 - -1003\/4674. Let b = l + w. Put -5, -3, b in increasing order.\nAnswer: -5, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 658 + 146 = 4*n. Suppose 4*x = x + n. Does 23 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*k - 3*k - 8. Suppose 3*n - 22 = k*n. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:00 AM and 11:48 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v + v - v - 2. Let h be y(-2). Suppose h = 3*z - 4*o + o - 24, z = -2*o + 8. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0, -270\/63301, 0.2?\nAnswer: -270\/63301","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2.9 - -3.01. Let o = h + -3.11. Let z be (2\/(-21))\/((-3)\/(-9)). Which is the nearest to z?  (a) -0.1  (b) o  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -8 - -64007?\nAnswer: 63888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**3 + x**2 - x + 1. Let z(i) = -10*i**3 - 5*i**2 - 4*i - 4. Let s(t) = 2*f(t) + z(t). What is the second derivative of s(b) wrt b?\nAnswer: -48*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 5*u. Suppose 42 = 3*v - v. Suppose 4*g = 7*g - v. Let k = g + -6. What is b(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 81 and 4761?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange b + 141*b - 153*b - 341*b - 322*b to the form j*b + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1439*k - k**3 - 1407*k - 2*k**2 + 2*k**2 - 3.\nAnswer: -k**3 + 32*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 446b (base 14) to base 10.\nAnswer: 11855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -37 + 3ac?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 + -2. Let x(b) = -b**3 + 6*b**2 + 3. Let t be x(6). Suppose 3*u + t = 4*u. Solve 0 = u*l - 3 - j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = -4*r + 8*r + 62563, 0 = -5*c - 3*r + 104233. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 358398331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the third derivative of t**5\/6 - t**3 - 127*t**2. Let n(g) = g**2 - 11*g - 7. Let k be n(10). Let f(v) = -29*v**2 + 17. Calculate k*l(j) - 6*f(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/4*((-16)\/(-2) - -4). Let t be (-5)\/((a - -1)\/(-2)) + -2. Suppose 0*i = -3*i + 9. What is the nearest to 0.1 in t, i, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from awaaww. Give prob of picking 1 w and 3 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1130141 is divided by 1176?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:31 AM and 11:32 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 + -4. Suppose 4*t + u = o, -o - 3*o - 3*t + 12 = 0. Suppose -7*m - k + 32 = -o*m, 2*m = -2*k + 22. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*q**4 + 96120*q**3 - 769921200*q**2.\nAnswer: -3*q**2*(q - 16020)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2.9 - 0.1. Which is the fourth smallest value?  (a) 0.5  (b) i  (c) 7  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (sqrt(45) + 3 - (sqrt(15)\/sqrt(3) + -2)))**2.\nAnswer: 20*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16111.\nAnswer: 16111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h + 4*y = -8, -581*y + 11 = 4*h - 582*y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -14*r**4 - r - 11*r**4 + r**3 + 0*r**3 - 4*r**3 + 84*r**2 + 12*r**4 wrt r?\nAnswer: -312*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -n**3 - 124593 - 2*n + 123935 + n + 3*n to s*n**2 + l + z*n + h*n**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence se when two letters picked without replacement from ecshessshhhsssheh?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5262)\/(-7016))\/((-3)\/56).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from takaaattatk. Give prob of sequence ak.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -19 + 13. Let n be (-2)\/q - 2\/3. Let p = -3 - -6. What is the smallest value in p, -1, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -814810 (base 12) to base 9\nAnswer: -3717163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 135468 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**2 - 14628832*c - 26750340710528.\nAnswer: -2*(c + 3657208)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 0.3, -41, -2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8057*q = -8074*q + 238 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qv when two letters picked without replacement from {v: 2, q: 1, g: 6, i: 3, e: 5}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 391902449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = 4*p + 48, 4*g - 76 = -p - 2*p. Suppose 10*t - 40 = 9*t. Calculate the greatest common divisor of t and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + -2 - (-52 + 17 + (-14 - -11) + -3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4 and 150590\/319 + (-18)\/261.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*k - 2*k + 3*k + 687*k + 53467 - 53467 + 5*k + k - 4*k + (k - k + k)*(3 - 3 + 1) as t*k + w and give t.\nAnswer: 688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 122 + -122. Suppose d = 12*v - 5*v + 7. Is v greater than 3\/68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 12359791?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 513.32562ns?\nAnswer: 0.00000000014259045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 21734, 86922, 195572, 347690, 543282, 782354, 1064912, 1390962?\nAnswer: 1760510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -g**2. Let d(i) be the first derivative of 9*i**2\/2 + 6. Give o(d(z)).\nAnswer: -81*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 2848.\nAnswer: 3\/2848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**3\/5 + 24095124*y**2\/5 + 72571875071922*y\/5.\nAnswer: 2*y*(y + 6023781)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14266736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 16 = 36. Put 3, 2, -5, s in increasing order.\nAnswer: -5, s, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k = 3*k + 6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the third derivative of -9*f**2 + 0 - 1\/3*f**3 + 0*f - 5\/24*f**4. Determine t(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 337, 2676, 9025, 21388, 41769, 72172, 114601?\nAnswer: 171060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 123810879 is divided by 606916?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 4, d: 2, q: 2, v: 1}. Give prob of sequence vdnd.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1227629025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 0 + 3)*(-m + m - 2*m) + 915*m - 329*m - 337*m - m + m - m + (-5 + 1 + 3)*(-m + 0*m - m) to t + n*m and give n.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (2 - 4) - -5 - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000013463481816 to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0*6\/30)\/((-132)\/11 + 8). Factor 4\/9*u - 4\/9*u**3 + i + 0*u**2.\nAnswer: -4*u*(u - 1)*(u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 13599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the first derivative of -o**8\/336 + o**7\/24 - o**6\/4 + 5*o**5\/6 - 5*o**4\/3 + 8*o**3\/3 + 6. Let w(k) be the third derivative of x(k). Factor w(v).\nAnswer: -5*(v - 2)**3*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -64 - -95. Let c be (-65)\/15*93*2\/(-13). Calculate the highest common factor of c and l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-87*c - 100*c - 27*c + 17*c)*(5*c - 12 + 12) to u*c + b*c**2 + s and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 20214 and 2748?\nAnswer: 9258012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -x + 1, -24 = 2*k + 2*x. Let b(h) = -35*h - 4. Let g be b(1). Let c = g + 42. Sort -2, c, k in descending order.\nAnswer: c, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the third derivative of y**5\/60 + 19*y**3\/6 + y**2. Find the first derivative of f(w) wrt w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 4) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 39 - 34. Sort j, 4, -3\/2 in descending order.\nAnswer: j, 4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 307660 divided by -76915.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 + 13)*(-4 - 3 + 6)*(2*p + 6*p - 2*p)*(-4*p**2 + p**2 + 4*p**2).\nAnswer: -96*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 - q**2 + (2*q**2 - 2*q**2 - 2*q**2)*(6 - 4 - 1) + 2*q**2 - 2*q**2 - 8*q**2.\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5358229*k*m**4 - 1013356*k with respect to m.\nAnswer: 21432916*k*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 102032 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 12225 times -5199?\nAnswer: -63557775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 7 - (-15 - (-2 + -3 - 0))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -8*y**2 + 4*y - 16. Calculate p(4).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is e (base 15) in base 9?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the first derivative of 0*x**2 + 2*x**2 - 3*x**2 - 10 + 3*x. List the prime factors of i(-14).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -2878, -5763, -8648, -11533, -14418, -17303?\n\"Answer: -2885*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v + 2*v**2 + v)*(1 + 2 + 3).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3*(2 + (-16)\/3). Let l be u\/6 - 2\/(-2). Let f be (-1)\/((-39)\/111) + -3. Which is the closest to l?  (a) -5  (b) -3  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the first derivative of -w**8\/560 + w**5\/120 + w**3\/3 + 2. Let i(k) be the third derivative of b(k). What is the second derivative of i(o) wrt o?\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5, 1\/4, 2\/15, 0.006?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-4\/5))**(-34) assuming p is positive.\nAnswer: p**(136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4851*q**2 + 3448*q - 3448*q.\nAnswer: 4851*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = t - 20. Sort -5, t, 3\/4 in decreasing order.\nAnswer: t, 3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1698471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4456 + -2463. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*d + 30*d - 462 = 0. Solve -5 = 4*a + 3*f, -a - 3*a - d = f for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n + 0*n + 0*n)*(-106*n**3 - 306*n**3 + 203*n**3 + (n - n - n)*(-n**2 + 4*n**2 - 4*n**2)).\nAnswer: -208*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -79050 != -79050?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -6*w**2. Let n(h) = 29*h**2. Determine p(n(u)).\nAnswer: -5046*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 83227888?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/(-15))\/(-3)*2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1470 is divided by 183.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*(x*x**7)\/x*x)\/x*x**(-9))**(1\/16) assuming x is positive.\nAnswer: x**(-1\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*v**4 + 122646870*v**3 - 752112613392960*v**2 - 1504225717373440*v.\nAnswer: -5*v*(v - 12264688)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**2. Let b(l) be the third derivative of -127*l**6\/720 - 5*l**4\/24 - 2*l**3\/3 - 225*l**2. Let q(i) be the second derivative of b(i). Give h(q(p)).\nAnswer: 16129*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -63, 1, -1\/2 in increasing order.\nAnswer: -63, -2, -1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 2469859*o + 0*o**2 + o**2 - 2470021*o + 2 in the form m + a*o + c*o**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) -4  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 20977904*m + 15174750.\nAnswer: 20977904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 688683 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 27 + -37. Let w(o) = o**3 + 10*o**2. Let n be w(h). Is 8 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1\/318 - -239\/159. Factor n + 0 + g*n**3 + 5\/2*n**2.\nAnswer: n*(n + 1)*(3*n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -31 + 11. Let z be (6\/(-5))\/(8\/c). Does 3 divide (z - 5)*(-14)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**3 - 8*v**2 - v + 14. Let h be z(8). What is the third derivative of 10*y**2 - 1 + 206*y**6 - 3*y**3 - 201*y**h + 5*y**3 wrt y?\nAnswer: 600*y**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the first derivative of o**7\/168 - o**6\/60 + o**5\/120 + o**3 + 1. Let a(u) be the third derivative of t(u). Suppose a(z) = 0. What is z?\nAnswer: 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 123\/6118 and 13\/2660.\nAnswer: 61180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -32 + d**2 - 38 + 70. Let y(w) = 3*w. Calculate s(y(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -581041 + 1161072. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2448)*2 + (sqrt(17) + 1 + 4)**2.\nAnswer: 42 + 34*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c - 4*c + c)*(-4*c - 7*c + 14*c) + (5 - 3 - 1)*(33*c + 10*c**2 - 33*c) + c**2 - c**2 + c**2 + (-3*c + 2*c - c)*(-3 + 2*c + 3).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -191594 - 85020. Let c = -276568.0058 - q. Let g = -46 + c. What is g rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**2 - 7*k + 8. Let p be j(-6). Suppose p - 38 = -4*n. Suppose 3*m - 558 = -n*m. Is m a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20210022212112 + -121?\nAnswer: -20210022220010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 3\/((-30)\/(-80)) + -6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 5*c**3 - 826*c**2 - 18*c. Let s(o) = -14*o**3 + 2479*o**2 + 51*o. Give -6*s(x) - 17*v(x).\nAnswer: -x**3 - 832*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3\/9)\/((-6)\/(-30)*-5). Which is the closest to -0.79?  (a) 3  (b) -2\/3  (c) 0.4  (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 4*b - 63 = b, -10 = -2*b. What is the least common multiple of s and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -2*o**3 - 14*o**2 + 14*o + 5. Give a(2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1566\/17 or -92?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1638 and 315.\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2483668 by -2402.\nAnswer: -1034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 2*p = -0 - 2, -o + 5*p = 12. Let l = 196 + -194. Which is the biggest value?  (a) o  (b) l  (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**2 + f - 1. Let s be r(-2). Suppose 2 = m + s. List the prime factors of 3*(-6)\/((-2)\/m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 1\/4*c**2 + 1\/4*c.\nAnswer: -c*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 7, y: 1, t: 2, n: 2, a: 1, f: 1}. What is prob of sequence annt?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -2.5  (b) -3\/10  (c) -1  (d) 4  (e) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/((-486)\/42 + 12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*(i**(-1\/7)\/i*i)\/i*i*i**(2\/29)*i)**(-17)*(i*(i*i**(-2)*i)\/i*i\/(i*i**(-4)*i)*i)\/(i\/i**2)**(3\/22) assuming i is positive.\nAnswer: i**(-127761\/4466)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -20 + 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 60 = 4*x - 3*q, -90 = 3*x + 3*q. Let r(i) = -11*i - 25. Is 25 a factor of r(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the second derivative of 1\/3*x**4 + 0*x**7 - 10*x + 0*x**2 + 0 + 0*x**3 + 11\/56*x**8 + 0*x**5 + 0*x**6. What is the third derivative of m(z) wrt z?\nAnswer: 1320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -948 + 988. Solve y + 6*l - 3*l = 18, -w = -5*y - 5*l for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r\/(r\/r**(2\/5)*r)*r)**48\/(r**(-1)\/(r\/(r\/(r\/r**8))*r)) assuming r is positive.\nAnswer: r**(311\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 28*l**2 + 223*l + l**4 - 28*l**2 + 815 - 816 + 3*l**3 as y + r*l + s*l**3 + k*l**4 + b*l**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -456945847*d**2*g**2 - 678*d**2*g - 2*d**2 + 3*d*g - d + 3*g + 242 wrt g.\nAnswer: -913891694*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/7, 1\/23, -13\/5?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.69 and 1492?\nAnswer: 1029.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 706160.7 months in years?\nAnswer: 58846.725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -3245924 divided by 4\nAnswer: -811481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7\/6, 22, 0, 44, 0.2, 4, -33.\nAnswer: -33, 0, 0.2, 7\/6, 4, 22, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2 and 0.0498479?\nAnswer: -0.00996958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 - 4. Let q(k) = k**2 + 7*k + 4. Let t be q(y). Calculate the highest common divisor of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 - -7. Let v be (-7)\/(-5)*6\/y. Factor 0 - 2\/5*j**3 + v*j**2 - 4\/5*j.\nAnswer: -2*j*(j - 2)*(j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -20\/57 and -53\/444.\nAnswer: 8436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 40 and 580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00003066 rounded to 6 decimal places?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-178)*2\/(-4). Let w = 4547\/1424 - f. Find the common denominator of w and -23*(-5 + (-333)\/(-66)).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes after 12:45 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 0 = -5. Suppose 4*q + l*z = 375, -2*q + 3*z + 351 = 2*q. Let n be (-8)\/q*15\/(-6). Which is smaller: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3444432111 (base 5) to base 6\nAnswer: -435232255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ysy when three letters picked without replacement from ykyyyyyyyyis?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -8*q**3 + 2*q**2 + 2*q + 9. Let i(s) = -24*s**3 + 7*s**2 + 7*s + 28. Let u(p) = -7*b(p) + 2*i(p). What is the first derivative of u(x) wrt x?\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 67, 124, 181, 238, 295?\nAnswer: 352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*l + 10 = -3*l. Find the first derivative of -l + 3*p**3 + 3 + 1 wrt p.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6141 divided by -3\nAnswer: 2047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 270.46793654 + 0.1.\nAnswer: 270.56793654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 15772\/1091415 + -14\/1131. Let f = 11566\/6755 + x. Let -8\/7*j - 2\/7*j**4 - 8\/7*j**3 - 2\/7 - f*j**2 = 0. Calculate j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-17)\/85)\/(3\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 2*s = i + 50, 1 = s - 2*i. Let v be s\/(-36) + (-38)\/(-8). Solve v*g = 6 + 9, 0 = -o + g + 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-14)\/4*(-18)\/3. Suppose 0 = -2*p - 3*k + q, 2*p - 2*k - 26 = -0*k. Let l be 6\/(-4)*p\/30. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 5*u = 4*p - 19, -p - 5 = -4*u. Let v(r) = -3*r**2 - 3 - 6*r**2 + 2*r + 5*r**2 + 3*r**2. Determine v(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 115147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 330*j - 32 = 346*j. Which is the closest to 1\/2?  (a) -0.05  (b) -3  (c) -22  (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 902713895288 minus -49?\nAnswer: 902713895337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1270 and 22520656?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1969491 divided by -14.\nAnswer: 1969491\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24*272\/2688)\/(((144\/(-42))\/(-4))\/(-2)).\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -6 - (-13 - -14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2906\/7 or -415?\nAnswer: -2906\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 1 e, and 1 f when three letters picked without replacement from {o: 2, e: 2, s: 1, f: 8, l: 2}?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 822949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1226*w + 5679 = -2639 - 8846 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b - b - 16. Suppose -4*w - 5*l + 15 = -22, -b = 3*w - 5*l. Sort w, 4, 1\/7.\nAnswer: 1\/7, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 27775\/63 + -3048\/7. Let p be (-2 - -1)\/(2\/4). Find the common denominator of m and (-186)\/(-20)*-1 - p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 676327.\nAnswer: 31, 21817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add 14236.76 and 0.428.\nAnswer: 14237.188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 114134 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 4261330 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 54*f**5 - 19*f**3 - f - 1621.\nAnswer: 1080*f**3 - 114*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v. Let b be 0*(-4)\/(0 + 4). Let l(d) be the first derivative of b*d - 3 + 1\/2*d**2. Determine m(l(c)).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/n**10*n)\/n**(-2\/3))\/(n**(-5\/3)\/(n**(-6\/7)\/n)) assuming n is positive.\nAnswer: n**(-158\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -198.495 - -199. Let l = x - 0.005. Let s = 116 + -115.1. Which is the third biggest value?  (a) l  (b) s  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -r + 3*u, 10 - 32 = -r - 3*u. Suppose 0 = r*o - 33 - 97. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 4  (b) 0.18492  (c) -2  (d) 3  (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:30 AM and 1:24 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -35438 or 24?\nAnswer: -35438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 - -3. Let h = -77 - -74. What is the third smallest value in f, 0.4, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-56)\/(-4) + 2\/(1 + 5\/(-7)). Solve 5*d - 4*j = 21, -2*d + 19*j - w*j = -12 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 465288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -5*(2\/(-10) + 1). Let x be 4\/t - 7\/(-3). Sort 2, -3\/8, x.\nAnswer: -3\/8, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 99 - 87. Let w(s) = 7*s + p + s - 32*s. Is 7 a factor of w(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9976.79m to micrometers.\nAnswer: 9976790000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2492, -4987, -7484, -9983, -12484?\nAnswer: -14987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 35*j**4 - 3*j**3 - 36*j**4 + 83*j - 2*j**3 + 17 - 8*j + 4*j**3 to the form g*j**3 + t*j**2 + a*j**4 + s*j + r and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 48 = -2*m. Let f be (-2)\/m - 111\/(-18). Solve f*x = x - 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 86*i**2 + 9*i - 87*i**2 + 5 + 1. Determine c(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -2*w. Let z(m) be the first derivative of 0*m - 3\/2*m**2 + 3. What is t(z(q))?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 337 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -136 - -143. Solve -t*b + 8*b = -4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d**2 + 5608492*d - 224346080 = 0.\nAnswer: -1402163, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -58069\/40 + 7258\/5. Is y equal to 10\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -8*h - 71. Let z be g(-9). Is ((-13154)\/(-10) + z)\/((-4)\/(-10)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 367\/(140194\/211437)*4\/54.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 85485 - 85484. Let t = 0 + 0.1. What is the nearest to -0.1 in t, y, 1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-6328)\/(-2260))\/(6\/5)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 1018*l**2 - 4*l + 4. Suppose 0*g + 15 = -3*g. Let c be s(g). Let d = 11174 - c. What is d rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -225, -433, -641, -849?\nAnswer: -1057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 4*b - 28 = 0, -5*y + 0*b + 4 = -4*b. What is the smallest value in y, 1\/2, -1\/3, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 91*a - 77. Let w(m) = -7*m + 6. What is -6*f(s) - 77*w(s)?\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.49151 to 3 dps.\nAnswer: -0.492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -44324400443 + -2?\nAnswer: -44324401000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 3, a: 3}. Give prob of picking 2 a and 2 r.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of 28 and -286.\nAnswer: -8008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04369195952 rounded to 4 dps?\nAnswer: 0.0437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**2 - 5*x + 8. Let i(d) = 2*d**2 + 3*d - 13. Let f be i(-5). Let l = f - 29. Determine z(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o*o**(-1\/3)\/o))**(-11)\/(o**(-2)*o**(1\/3))*(o**(1\/7)*o*o*o\/(o*o**(-5\/2)\/o))\/((o**(1\/2)*o)\/o**(1\/10)) assuming o is positive.\nAnswer: o**(-613\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t - 25 = -j, 0 = -5*j + 5*t - 9 + 14 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 37 + 17. Calculate the greatest common divisor of 81 and p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((30\/12)\/(-5))\/(15\/(-6))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the first derivative of 5*t**4\/4 - 10*t**3 - 225*t**2\/2 + 250*t - 9073. Factor v(n).\nAnswer: 5*(n - 10)*(n - 1)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 + -442042?\nAnswer: -442042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*l**4 - 99 + 99 + 2*l**5)*(4 - 4 - 1).\nAnswer: -2*l**5 + 10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 3*y - 12 = 0, -i - y = -5*i + 11. Find the second derivative of -15*b**3 + 0*b**i + 60*b + 6*b**3 wrt b.\nAnswer: -54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 1154 = 211. Let v = 325 - -129. Which is smaller: v or g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z - 6 = i, 0 = 3*i + 2*i - 2*z + 12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 134*a**4 - 58*a**2*p**2 + 2*a**2 - 2*p**2 + 5769 with respect to a.\nAnswer: 536*a**3 - 116*a*p**2 + 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -140\/213 + 2197\/426. Factor -v*t - 1\/2*t**2 - 4.\nAnswer: -(t + 1)*(t + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.5356 + 1.7356. Suppose -5*h = 8*c - 3*c + 105, -3*c = -5*h + 23. Which is bigger: c or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 42330*c**5 + 20732*c - 1.\nAnswer: 846600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 331875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i*i\/(i**2*i)*i*i*i*i*i\/i**(-15) assuming i is positive.\nAnswer: i**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 303809?\nAnswer: 11, 71, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = 3*o + 20. Let p(j) be the third derivative of 1\/20*j**5 + 0*j - 1\/70*j**7 + 1\/40*j**6 + 0*j**3 + 4*j**2 - 1\/8*j**o + 0. What is c in p(c) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4237448780.\nAnswer: 2, 5, 19, 11151181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2581 + 2538 - 10226 + 2563 + 2*z**2 + 2563.\nAnswer: 2*z**2 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*f = -30634 + 2437. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and 162\/25333 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0.1591579*1.44\nAnswer: 0.229187376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*(-32 - -27 - 32\/(-6)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u - 3*j - 172, -5*u + 2*j + 604 = -256. Let y be -7 + u\/16 + 2\/8. Let m(a) = -y - 1 - 9*a + 4 + 10*a. Determine m(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 15036 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/2*10\/(-5). Let x(k) = 8*k**2 - 3*k**2 + 2*k**2. Is x(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1675 is divided by 147?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 29*n - 6 = -24*n, -9 = -3*n for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 70243967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 573\/10 - 1709\/30. Let q = -0.07 + -0.01. Which is the fourth smallest value?  (a) 0.04  (b) -2  (c) q  (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-2)\/5)\/(2\/(-600)). Suppose 0*l + 4*l + c = 0. Let a = 57 + l. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 320, -796, -4, 4, 3 in decreasing order.\nAnswer: 320, 4, 3, -4, -796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -4*r + 1. Let q be j(-1). Suppose 0 = q*w + 16*w - 21. What is the remainder when 2 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes before 7:28 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 724800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -13 + 13 - 10*n + 5 - n - 5 + (1 - n - 1)*(-2 + 0 + 3).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w + 11 = 5*w. Let q = w - -16. Suppose 2*d - 1305 = -q*r, 0*r = -2*r + d + 531. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes before 10:30 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6 (base 7) to base 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 7348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/5, -43, -64403\/8?\nAnswer: -64403\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13402 - 6*i + 13306 - 26708.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 y when two letters picked without replacement from jdyyqyzyjjqyy?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31497 divided by -10499.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:50 PM and 5:17 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 2*p**2 + 3. Let j be -2*(26\/4 + 1 + 91\/(-13)). Let n(d) = 1. What is j*h(z) - 2*n(z)?\nAnswer: -2*z**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d = -5*v + 5, 0 = -3*d + 7*d + 3*v - 17 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.25 + -0.05. Suppose 0 = 2*y + 5*k - 25, 0 = -y - 23*k + 19*k + 20. Which is the nearest to 0?  (a) y  (b) -1\/4  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -125557 - 138091 = -11128*r + 1198*r - 35258 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -77, -125, -235, -431, -737, -1177, -1775, -2555?\nAnswer: -3541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -285.9 + 259. Let q = k + 27. Let o = -7 + 7. Are q and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.881 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-479)\/4)\/((-2)\/8) is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (6*4*(sqrt(325) + -2) - ((0 + sqrt(325))*-2 + (sqrt(325) - 1*(sqrt(325) + 1))))**2*-4.\nAnswer: -887635 + 48880*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 630 + 10653420?\nAnswer: 10654250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 88072487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = 3*l + 28, l - h - 3*h - 8 = 0. Let n be l\/(-40) + (-38)\/(-10). Suppose -3*r + 47 = -n. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the first derivative of 2*t**3\/3 + 3*t**2\/2 - 3*t + 3. Let d be y(-3). Let x be ((-12)\/(-45))\/((-4)\/d). Which is bigger: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 776118 = 249*r + 759933 for r.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15808*q - 15804*q - 3*f + 7 = 0, q + 3*f = -13 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((l\/(l\/((l**(2\/13)*l)\/l*l)))\/l)**(1\/40))**(31\/2))**(-34) assuming l is positive.\nAnswer: l**(-527\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dpsdsssppmsappmsd. Give prob of picking 2 m.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 4311199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**3 - 3*i**2 + 2*i - 5. Let x be p(3). Sort x, 4, -5, -4 in increasing order.\nAnswer: -5, -4, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the first derivative of -111\/5*j**5 + 17\/2*j**2 + 0*j + 0*j**3 - 96 + 0*j**4. Find the second derivative of z(w) wrt w.\nAnswer: -1332*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 97752.\nAnswer: 2, 3, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -8*g + 3*g - 75, -m = 4*g - 57. What is the remainder when 155\/9 + (-10)\/m is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the third derivative of -b**6\/120 - 7*b**5\/20 - 13*b**4\/12 - b**3 + 5*b**2. Let a be q(-18). Round a to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 92*t + 83*t + 697*t to the form f*t + k and give f.\nAnswer: 872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by 3\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 124750 rounded to the nearest 1000?\nAnswer: 125000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 160*d - 110*d - 46*d. Let m(w) = 4*w**2 - 2*w**2 - w**2. What is m(g(l))?\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-13)\/(-5))\/1 + 158\/395. Let q = 47.95 - 46. Let p = -0.05 - q. Which is the biggest value?  (a) p  (b) i  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 357 + 395)*(1 - 1 - n**2).\nAnswer: -751*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -28, -220, -748, -1780, -3484, -6028, -9580?\nAnswer: -14308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 565711, 565750, 565789, 565828, 565867?\n\"Answer: 39*x + 565672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-91)*((-14000)\/(-32))\/(-125))\/((-2)\/(-6))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/p**9)\/(p*p**0*p*p)*p**(1\/11)\/p**(2\/5))**(-3\/7) assuming p is positive.\nAnswer: p**(1866\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the second derivative of -k**3\/6 + 2*k**2 + 5*k. Suppose -7 = -3*m + 11. Give i(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 660*h**2 - h. Let v(y) = -573*y. Determine v(x(f)).\nAnswer: -378180*f**2 + 573*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**3 + 14*l**2 - 14*l + 21. Let g be s(-15). Let t(w) = w**3 - 6*w**2 + w. Is t(g) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -2*x**2 + 18*x - 20. Let l be z(6). Calculate the highest common factor of 64 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 10*n**5*p - 8*n**4*p + 2*n**2 + 30*n*p - 32*p wrt n.\nAnswer: 200*n**3*p - 96*n**2*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 592114 or 592108?\nAnswer: 592114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 427\/168*-3 - 1 and 31\/28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 63725, 128034, 192343, 256652?\n\"Answer: 64309*h - 584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 0*b - 16 = 0. Solve -3*n - b*m - 16 = -0*n, 5*n + 4*m + 24 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 66600 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that -2*a**3 + 254*a**2 + 5076*a + 20880 = 0.\nAnswer: -12, -6, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 (base 12) in base 5?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 235.3 and -5.\nAnswer: -1176.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*z = 2*n + 21*z + 6, -3*n + 2*z = 6. Which is the nearest to -5?  (a) 2\/3  (b) n  (c) -0.4  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -9*b - 2. Let x be g(-1). What is the first derivative of 17*a**4 + 2*a**4 - x + 16*a**4 - 1 wrt a?\nAnswer: 140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ggcc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1613  (b) -2  (c) 0.3  (d) -3  (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 26665560 and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Is 12475 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/(2 - 35\/20)*2\/28. Which is the second biggest value?  (a) y  (b) -1  (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the first derivative of -c**4\/2 - 77*c**3\/9 + 16*c**2 - 28*c\/3 - 2928. Find b such that y(b) = 0.\nAnswer: -14, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*(54\/(-6))\/3*1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1549 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzzzzzuuzsszszz?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 343271 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 422143061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**3 + 11*m**2 + 15*m - 32. Let p be k(12). Solve -p*r - 30 = -46 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from ukllluluauaakua.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -48 - (4 - 0) - (-23 - -11 - -6) - 12?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -77\/15 and -187\/3840.\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -671 divided by -1834\nAnswer: 671\/1834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1166883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from syyjlylsyyjjslsyswi. Give prob of picking 1 j, 1 y, 1 l, and 1 i.\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 10 = -8*y. Let f = y - 1. Let b(n) = 4*n + 1. What is the smallest common multiple of b(1) and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 10 - 24 - 51 - 2*n - n**2 - 15 as i*n + x + a*n**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 142, 1139, 3832, 9067, 17690, 30547, 48484?\n\"Answer: 141*o**3 + 2*o**2 + 4*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64*l + 190 = 574 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the third derivative of 723*v**7\/70 + 3103*v**5\/60 + 3*v**2 - 299. What is the third derivative of m(d) wrt d?\nAnswer: 52056*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 bigger than -534\/205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v\/(v**(-1\/9)\/v*v)*v*v**(-2))\/(v**(-2)\/(v**(-1\/3)\/v*v)))**16)**(-3\/26) assuming v is positive.\nAnswer: v**(-128\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1634 (base 8) to base 16.\nAnswer: 39c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 5945 + -5989 + -25 + -1 + 1\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 970160443 to the nearest integer?\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g**3 - g**2 + 1. Let f(c) = -18*c**3 + 22*c**2 - 2. Let i(n) = -f(n) - 2*m(n). Find the third derivative of i(b) wrt b.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kjscjjekjkkj. Give prob of sequence kkcj.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3767 is divided by 102?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + 2)*(x - x - 2*x)*(-2*x + 2*x - 3*x).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*x**5 - 50*x**4 - 267*x**2?\nAnswer: -180*x**2 - 1200*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -3 - (-5 + (-8 - -4)). Put -4, n, 4 in decreasing order.\nAnswer: n, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6950788?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from inciiscscsscncnn. What is prob of picking 1 i and 1 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -81 + 5*q**2 + 9*q**2 + 79 to the form n*q**2 + w*q + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 901 + -894. Let j(b) be the third derivative of -b**4\/24 + b**3\/2 + 3*b**2. Give j(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 2*b + 12. Let a be k(-7). Let x = a + 12. Calculate the least common multiple of x and 26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is c5e + 1449?\nAnswer: 20a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -44*q - 77. Let a be o(-7). Let c = 222 - a. Which is greater: c or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 839 + 3575462.\nAnswer: 3576301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 244*m**3 - 14*m**2 + 14*m + 14. Let y(n) = 49*n**3 - 3*n**2 + 3*n + 3. What is 3*k(t) - 14*y(t)?\nAnswer: 46*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the third derivative of 11*g**5\/60 + 4*g**4 + 96*g**3 + 17*g**2 + g. Let i(b) = -5*b**2 - 48*b - 288. Let u(f) = 14*i(f) + 6*l(f). Factor u(v).\nAnswer: -4*(v + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(4\/(-2))*344\/516?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 62*b + 199*b + 316*b + 293*b - 79*b.\nAnswer: 791*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5405.1 + 5657.872. Let d = -249 + m. What is d rounded to 1 decimal place?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l - 8 = -4*h, 9*l = -3*h + 4*l - 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1*76\/(-4) + -3*1. Solve -w = -5*w + c for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d**3 - 12*d**2 - 52*d - 151. Let a be n(-8). Solve 4*p - 31 = -2*j - j, 0 = -p - j + a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 11061988 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the second derivative of v**7\/2520 + v**5\/60 + v**4\/3 + 5*v. Let c(s) be the third derivative of a(s). Find the first derivative of c(b) wrt b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 129802050 divided by 41207.\nAnswer: 3150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -28\/45 - -376\/315. Let b(w) be the first derivative of -2\/21*w**3 - 6\/7*w + 17 - v*w**2. Factor b(h).\nAnswer: -2*(h + 1)*(h + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3306922 divided by -1814?\nAnswer: 1823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 330 - -13?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - (-7 - (6 + -18) - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 816666 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and 2418648.\nAnswer: 9674592","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -9 or -18.2141?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9575460 or -9575479?\nAnswer: -9575479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10.7476 - 9.299. What is t rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 15*y**2 - 11*y + 21. Let x be c(-7). Let g be (1\/x)\/(2\/(-6)). Is g greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -4 - (-6 + 3) - (-14296 + 20).\nAnswer: 5, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*a - 15*a - 5*x = 52, 5*x = -5*a + 65. Calculate the remainder when 38 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w\/(w\/(w**(-8)*w)))\/(w\/(w**(7\/3)\/w)))\/(w**(1\/8)\/(w\/w**(-7))))\/((w*w**(-2\/5)*w)\/(w*w*w**(2\/23)\/w))**(2\/9) assuming w is positive.\nAnswer: w**(9061\/8280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (48\/10)\/((-30)\/(-200)). Suppose -v - 12 = -3*v. Calculate the remainder when -7 + (-8)\/(w\/(-156)) is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 212000112 (base 3) to base 12.\nAnswer: 9865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f - 9 + 3. Suppose 3*a - 3*z + 2*z - 14 = 0, a = -z + f. Suppose a*t + 4 = -2*g, -g + 11 = g - t. Solve 2*d - g*u + 0 = -4, -4*d + 1 = -5*u for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 5*h**2 + 5. Let u(d) = 3 - 4 + 2. Let j(k) = q(k) - 5*u(k). Let c(l) be the third derivative of -l**5\/15 - 30231*l**2. Give c(j(t)).\nAnswer: -100*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 30*i**2 + 1. Suppose -7*g - 5 = -2*g. What is the units digit of c(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in eighteen fifths of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*u**3 - 2*u**2 - 8*u**3 - 2*u**2 - 4*u + 3*u**2 + 4 to the form s + y*u**3 + l*u**2 + k*u and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3157.\nAnswer: 7, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.2, -406, 0.2, 7?\nAnswer: -406","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 5, 339, 1.\nAnswer: 1, 2, 5, 339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 9*k**2 + 2*k. Let y be s(-1). Let r(q) = -6*q - 6. Suppose 4*x - 3*x = 2. Let w(u) = -12*u - 14*u - 17*u + 2 + 45*u. Give x*r(v) + y*w(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 69*d - 31. Is k(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -5\/1344 and 151\/2688?\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-38)\/(-10) - (32\/(-10) + 3). Find n, given that -36*n**4 - 24*n**2 + 114*n**3 + 30*n**5 - 39*n**g - 18*n**5 = 0.\nAnswer: 0, 1\/4, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -2*f**2. Let w(n) be the second derivative of 1313*n**4\/12 + n + 581. Determine w(a(i)).\nAnswer: 5252*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 331968242?\nAnswer: 2, 311, 533711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 64, -5871, -2, 3, 0 in ascending order.\nAnswer: -5871, -2, 0, 3, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (244\/19520*1984)\/(1\/(-5))?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21949 = -8*v + 65606 + 45013. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**2. Let z(o) = -5*o**2. Let k(y) = 18*i(y) - 4*z(y). Let x(t) = -3*t. What is x(k(q))?\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -55 + 55. What is the closest to 0.2 in 4, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*v - j + 6, 0 = -v - 4*j + 31 - 7 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:53 AM and 8:08 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -142214 + -2253?\nAnswer: -144500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 13801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3532, -1853, 962, 4919, 10024, 16283, 23702?\nAnswer: 32287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 334?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(432) - 3*-3*sqrt(432))**2 + (-4*(sqrt(432) + -1))**2.\nAnswer: -384*sqrt(3) + 50124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 46\/5 of a minute?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**3 - 84*u**2 + 974*u - 41. Does 105 divide n(74)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 110 = 21*k. Solve 1 - k = -4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*g**3 + 1031*g + 1021*g - 2052*g.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34056 divided by 11.\nAnswer: 3096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 3, a: 6, e: 3, x: 1, p: 1}. What is prob of sequence aa?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(1\/2))**(-2)*((u\/((u**(-1)*u)\/u))\/u*u)**49 assuming u is positive.\nAnswer: u**97","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -2*n**2 + 7*n - 2. Suppose -2*w = -3*v + 125 - 120, -7*w - 3*v + 50 = 0. Let l(s) = -2*s**2 + 6*s - 1. Calculate w*x(d) - 6*l(d).\nAnswer: 2*d**2 - d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p**2 - p**2 + p**2)*(0*p + p + 0*p) - 14*p + 2*p**3 - 4 + 2 + 10*p.\nAnswer: 3*p**3 - 4*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -3*z + 5*z - 2*f, -4*f + 2 = -z. Differentiate 4431*l**2 - 175 + 3*l - 41 - 4449*l**z with respect to l.\nAnswer: -36*l + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 92 + 188 = -56*w. Sort 2, w, 94 in ascending order.\nAnswer: w, 2, 94","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1307 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.00188681287 and 0.05.\nAnswer: 0.04811318713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**3 - 7*g + 6. Let n be z(1). Let f = -0.41 + 0.51. Which is the nearest to f?  (a) -3  (b) -1  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 16947 + -11679. List the prime factors of j.\nAnswer: 2, 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wr when two letters picked without replacement from wowwroo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 497887 and 3328.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6526745 to the power of 1\/2, to the nearest integer?\nAnswer: 2555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3255714 and 7128?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 501  (b) -1\/15  (c) 0.08  (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -68348700 divided by -10278?\nAnswer: 6650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 101911 is divided by 33598?\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 5*j**3 - 7*j**2 + 7*j - 6. Let s(i) = 4*i**3 - 6*i**2 + 6*i - 5. Let z(u) = -3*p(u) + 4*s(u). Let l = 0 - -2. Calculate z(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 13193\/7992 + -52\/37. Calculate the common denominator of l and 5\/6.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1542391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -69 + 69 - 11*i in the form b + q*i and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -29472.862?\nAnswer: -29472.862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*i + 31*i - x - 635798 = 0, 3*i + 3*x = 476871. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the third derivative of -f**5\/60 - 12*f**2 - 43*f + 2. Let x(b) be the second derivative of 4*b**3\/3 - b**2 + b. Determine x(r(h)).\nAnswer: -8*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the third derivative of s**6\/120 + s**4\/24 - s**3 + 9*s**2. Let g be o(2). Solve 2*k = -f, g*k - 24 = -0*k + 4*f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24\/9)\/(190\/(-30) - -6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -0.1, -82.3 in descending order.\nAnswer: -0.1, -5, -82.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l**3 + 2*l**2 + 9*l + 13. Let a be p(-2). Calculate the highest common factor of a and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -589  (b) -4890\/23  (c) 2\/9  (d) -2  (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 8*u**3 - 5*u**2 - 6*u + 7. Let q(i) = -15*i**3 + 10*i**2 + 11*i - 13. What is -6*q(x) - 11*r(x)?\nAnswer: 2*x**3 - 5*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -2*b**3 - 10*b**2 - 40*b - 55. Is t(-18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 475949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 19*t**2 - t + 2. Let x(o) = -7*o**2 - 5*o + 3. Let u be x(-1). Give i(u).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:15 PM and 1:40 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 182 = -4*d + 46. Do -34 and d have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (585\/234)\/(5\/2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -9447\/11 - -857. Calculate the common denominator of (-2)\/(-8) + (-602)\/168 and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**3 + 19*d**2 - 25*d - 14. What is the units digit of v(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2313101 + -2022?\nAnswer: -2321123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6.23 - 1.23. Sort 1\/8, -0.3, 1, j in descending order.\nAnswer: j, 1, 1\/8, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8066 less than -0.6?\nAnswer: 8065.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 241453 - 123313. Suppose 5*g - v = -5*f, 0*g - 4*g - 118131 = -5*f. Suppose -2*m + f = -38373. What is m rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12 + -16. Let z(h) = -h + 2. Let v be z(n). Factor 0 - 10*u**3 + 8*u**2 - 4*u + v*u**3 + 0.\nAnswer: -4*u*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g + 23 + 9. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -23*i. Let g(m) = 31*m**2 - 235 + 65 + 98 + 72. Determine b(g(w)).\nAnswer: -713*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {d: 15, r: 5}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 421821984.\nAnswer: 2, 3, 4393979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 264 and 48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -31, -15, 27, 107, 237, 429?\nAnswer: 695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**3 - 5*i**2 + 4. Suppose 3*s = 2*l + 169, -2*s = -3*s - 3. Let q = l + 107. Let g be (27\/q)\/(3\/8). Calculate v(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-16)\/(-1)*(-10)\/20\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8 - -10. Suppose 0 = 3*g + 3*i - 12, -5*g = -u*i - 3 + 18. Let r be (0 + 10)*6\/36 - 3. Which is the closest to g?  (a) -4  (b) 0.5  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**(-2\/7)\/t)**(-5\/13)*(((t\/(t**(1\/3)\/t))\/t)\/t)**3 assuming t is positive.\nAnswer: t**(-81\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n + 312 + 43. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-78)\/(-4485))\/(((-3)\/(-15))\/1)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101010101 - -111001010000?\nAnswer: 111110100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -46 + 45.74. Let m = s + -40.74. Let b = -40.87 - m. Which is greater: 0.3 or b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 - 9 - 40568*j + 19.\nAnswer: -40568*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (0 + 0)\/(-2 + 1). Let k = -8\/601 + 2251\/33656. Is k at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 222?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 229500?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 276\/720 - 2\/15. What is the nearest to j in 0.2, -3, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6108420 and 240.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/63 + 1\/3.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/90 and 169\/540.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t - 4*b + 59 = 0, 2*t - 87 = -12*b + 39 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5 - -10. Find the common denominator of -13\/22 and (113\/(-8))\/(d\/2).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -301 divided by 15745.\nAnswer: -301\/15745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/9 + 817\/9. Let i = q + 13. Let w be 438\/34 - 8\/(-68). What is the highest common divisor of w and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r**3 + 8*r**2 - 5*r + 2. Suppose -2*m + 2*d = -5*m + 23, 4*m + 2*d - 30 = 0. Let x be w(m). What is the greatest common divisor of 128 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 2885947?\nAnswer: -2\/2885947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the second derivative of l**5\/50 - l**4\/3 + 9*l**3\/5 - 18*l**2\/5 - 86*l. Solve c(m) = 0 for m.\nAnswer: 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 + 6. Suppose -5*y - 6 = -2*t + 9, -j = 5*t + y. Let z be (t - -3) + (-2)\/(-1). Solve f + 3*n = -11, 4 = -5*f - n + z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r + 3*r = 1701. Let n = -1776 - r. Let j be n + 2 + -3 + 0. What is j rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**2 + 11. Let t be z(0). Suppose -5*d - 9 = t. Let f = 7 + d. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -2*q - 5. Let g be x(-11). Let j = -8 + g. Which is bigger: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rroueooooruuoouoeo. Give prob of picking 2 e and 2 o.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -4*a**3 + 3*a**2 + a + 5. Let n(v) = -5*v**3 + 4*v**2 + v + 6. Let w be (-40 - -40) + (-3 + -2 - -1). Give w*f(d) + 3*n(d).\nAnswer: d**3 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 25*d**3 - 10*d**2 + 10*d + 20. Give o(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-2\/3)\/((j\/(j*j\/(j*j**(2\/5))*j))\/j)*j**(-15\/2)*j*(j**(1\/6)*j)\/j assuming j is positive.\nAnswer: j**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -493*b**3 - 499*b**3 - 496*b**3 + 1490*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is k in -4*k**5 - 28*k**4\/3 + 148*k**3\/3 + 220*k**2\/3 - 232*k\/3 - 32 = 0?\nAnswer: -4, -2, -1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -1\/212  (b) -4719  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -21 - 99. What is the remainder when s is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - s + 3 = 0, -3*u = -u + 3*s - 3. Let p be u + (0 + 1)\/(32\/(-32)). Solve 6*m = p*m - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*o + 4*w - 137, -3*o + 0*o + 2*w + 107 = 0. Let d(p) = -o*p**2 + 0*p - p**3 + 0*p + 5 + 34*p**2. What is d(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2849 is divided by 2827?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -463313 to the nearest 1000.\nAnswer: -463000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -101, -714, -2381, -5630, -10989, -18986, -30149, -45006?\n\"Answer: -88*a**3 + a**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -29 + 68. Suppose -3*p = -123 - z. Round p to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - (-849)\/855)\/(3\/(-5) + (-1080)\/1800).\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -60566\/287 - 3103\/41. Let b = -287 - r. What is the closest to -0.1 in b, 0.01, 4, 1\/4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7\/954 and 20\/477.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-2 + sqrt(112))**2 - ((sqrt(7) + 4 + sqrt(14)\/sqrt(2))**2 - 6*sqrt(21)\/sqrt(3)).\nAnswer: -26*sqrt(7) + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1011 - 996.4. Let o = -44.33058367 - -29.7305844. Let u = o + b. Round u to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -433277 or -4766041\/11?\nAnswer: -4766041\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {t: 9, m: 7, f: 3}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 29989798841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g*g**(-3)))**(-1\/7)\/((g*g**(-2\/19))\/(g*g*g**(-1\/17)\/g)))**(-1\/17) assuming g is positive.\nAnswer: g**(864\/38437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1707*i - 6304 + 4639 + 66531 = 0 for i.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 442 + 25*m**2 - 442 - 7*m**5 wrt m.\nAnswer: -420*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 f when two letters picked without replacement from eqqtfth?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 34, 180, 528, 1174, 2214, 3744?\nAnswer: 5860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**9*m*m*m**(-9) assuming m is positive.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10053891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 2*h**4 + 11*h**3 - h. Let p(t) = 425*t**4 - 44*t**3 - 2928*t**2 + 4*t. Let f(b) = p(b) + 4*z(b). What is the third derivative of f(g) wrt g?\nAnswer: 10392*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 7, -12 in increasing order.\nAnswer: -12, -9, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -41646*n**2 + 1. Suppose -x = -0 + 1. Let v be g(x). Let u = -11345 - v. Round u to the nearest one thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 44 - 42. Let w(s) = -3*s**2 + 7*s**2 + 6*s**q - 8*s**2. Let o(y) = -6*y**2 + 4*y - y - 3*y. What is o(w(d))?\nAnswer: -24*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 25*c - 7 - 25*c + 4*c**2 - 3*c**2 as m*c**2 + l + x*c and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 + 43 - 1 - (-1 + 0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 258 = 2*v, 5*g + 3*v = 6*v - 643. Let x be ((-54)\/g)\/((-3)\/(-4)). Let a = x + 53\/48. Is 3 less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**2 - v - 6. Suppose a = 7 + 4. Let z be d(a). Suppose 35 - z = -3*h. List the prime factors of h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 308, 1161, 2554, 4487, 6960, 9973?\nAnswer: 13526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -123*f - 27*f + 1 + 3*f**2 + 1501*f**3 - 1502*f**3 + 0*f**2 to the form x*f**2 + n + q*f**3 + t*f and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -89 = -5*w + 26. Find the third derivative of n - n - 16*n**3 + 4*n**2 + w*n**3 wrt n.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence szzd when four letters picked without replacement from {d: 6, z: 8, s: 1}?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 675, 1341, 2009, 2679, 3351, 4025?\nAnswer: 4701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 3*-0.0488\nAnswer: -0.1464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 273 + 106. Is u a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -69610 (base 11) in base 2?\nAnswer: -11000100011010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 427*b**4 + 256*b**2 - 2*b?\nAnswer: 10248*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 42 - -217. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19 + -21 - (1 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 225, 340, 357, 276, 97?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nvinvvn. Give prob of sequence ii.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -u**3 - 732478*u**2 + 3*u + 1464939*u**2 + 129 - 732491*u**2 + (3*u**2 - 4*u**2 - u**2)*(2*u - 3*u - u).\nAnswer: 3*u**3 - 30*u**2 + 3*u + 129","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zfo when three letters picked without replacement from tfxwxzfwfzfzwwoxxf?\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -110077 = 28*j - 1014035 - 220606. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**3 - p**2. Suppose -4*f - 4*d = -2*d - 22, 4*f - 15 = 5*d. Suppose -5*n = -f*s - 5, -3*s - n - 4 = -1. Let t be m(s). Solve t + 4 = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 2*z)*(44*z + 187 - 187)*(-z + z**2 + z).\nAnswer: 88*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 186797 divided by -2?\nAnswer: -186797\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -30124 + -1220?\nAnswer: -31344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -145\/6696 and 53\/94860.\nAnswer: 569160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 354601?\nAnswer: 13, 27277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 366443*v. Let n(b) = -100*b. What is c(n(y))?\nAnswer: -36644300*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 2*y - 5*a = 29, 4*y + 4 = -4*a. Solve y + 2 = -x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 209\/208?\nAnswer: 209\/208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 20 = z. List the prime factors of (2 + z)\/(6\/(-96)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -17*c + 30*c - 14*c - 14*c**2 - 3*c**2. Let s(x) = -5*x + 3*x + 3*x. Give s(g(l)).\nAnswer: -17*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(-10))\/(59 + 761635\/(-12925)).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the first derivative of d**3 + 2*d**2 - 10*d + 44. Does 8 divide m(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -3*h. Let x = -9 - -17. Let k(f) = -f**3 + 8*f**2 + f + 1. Let v be k(x). Solve h*m = 3*m - v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 156*z = 158*z - 2*g - 22, 4*z + 3*g = 44. Solve 324 = z*t + 302 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.4, 23, -3, -8.4, 7\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9 - 15\/2*v + 3\/2*v**2.\nAnswer: 3*(v - 6)*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4142741 divided by 647.\nAnswer: 6403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 + 2. Let l(h) = -12*h - 31. Let s be l(-3). Suppose 0 = 14*d - 206 + 234. Sort v, 0, d, s.\nAnswer: d, 0, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 5*z + 1. Let h(s) = 32*s + 5. Let i(x) = -3*x. Let q(d) = h(d) + 2*i(d). What is 2*q(w) - 11*u(w)?\nAnswer: -3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 282747 bigger than 282727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/218 and -103\/140.\nAnswer: 15260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 k when two letters picked without replacement from jbjbkbkbk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63638 = -222*n + 269*n. What are the prime factors of n?\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**3\/4 - 3*q**2\/4 + 4*q - 3.\nAnswer: -(q - 2)*(q - 1)*(q + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - 13 - 10*z + 4*z - 2 + 3 to the form w*z + m and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**8)**(-22))**34 assuming s is positive.\nAnswer: s**(-6732)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 939.3922 milligrams?\nAnswer: 939392200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.448302kg to grams.\nAnswer: 9448.302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -300 - -1085. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes before 2:59 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 70 - 70. Suppose o = -19*h + 23*h - 212. Let p = h - -4. What is the greatest common factor of 19 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 62*h**6 + 4*h**4 - 35*h**3 + 11*h**2 - 27*h - 8 wrt h?\nAnswer: 7440*h**3 + 96*h - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n - 5. Let y be j(5). Let h(r) = 151*r + 3774. Let v be h(-25). Sort -3, y, v in descending order.\nAnswer: y, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5 - 4.8. Let m = -29 - -31. Which is the nearest to m?  (a) k  (b) 2  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + -10 - (-42 - -36).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (35*u - 84*u + 50*u + 3 + 25*u)*(-892*u + 703*u - 528*u).\nAnswer: -18642*u**2 - 2151*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + (7 + -26 + 7 - -9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 - 2. Suppose -k*l + 5*c = -80, -4*c + 9 = 2*l + 1. What is the remainder when ((-6)\/(-8))\/((-4)\/(-240)) is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the first derivative of -q**4\/12 - 46*q - 40. Let i(m) be the first derivative of p(m). Let f(h) = h. What is i(f(s))?\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.03 - 2.97. Let g = 0.71 + 0.09. Let p = g + -1. What is the closest to 1 in p, 4\/3, q?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*s - 3*s - 15 = -2*p, -3*p + 6 = 2*s. Suppose u + 5 = 6*u + 4*n, 4*n + 20 = p. Let f = -476 + 481. Solve -a + 4*x - u*x + f = 0, 3*a + 2*x = 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -254 - -334. Is (-20)\/(1\/1 + m\/(-76)) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (52\/416)\/(9\/6).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 44, 51, 58, 65, 72?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 13 - 10. Does 10 divide 0 - x\/(3\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 135 a factor of 8680635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let y be (30\/25)\/(9\/30). Suppose y*a - 54 = 5*m, -4 - 2 = -a + 5*m. Suppose -21*u + a*u + 150 = 0. What is the least common multiple of u and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(4) - sqrt(12)\/(sqrt(27)\/sqrt(9)))\/(6*sqrt(72) + sqrt(72)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 7, c: 3, i: 2}. What is prob of picking 1 t and 1 c?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*r**3 - 1660*r**2 - 130560*r.\nAnswer: -5*r*(r + 128)*(r + 204)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.06 - 0.1. Let q = d + 0.14. Is 0.1 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**2 - 3*o - 6. Let a be m(5). What is the lowest common multiple of 1 and (-6)\/a - 23\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**2 + 9*d + 3. Let v = 65 + -55. Determine q(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-14)\/3)\/(60\/(-5280)*-22)*(-9)\/6?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21954.04 times -0.5?\nAnswer: 10977.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the third derivative of z**8\/840 + 5*z**4\/24 + 7*z**3\/6 + 8*z**2. Let r(h) be the first derivative of x(h). Differentiate r(w) wrt w.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) 10\/9  (b) 1  (c) 3  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 10024618 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 140 - 140.2. What is the biggest value in 0, -3, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 71760 is divided by 35650.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -2*q + 12. Let l be t(10). Suppose -2*v = -0*v + 4. Let j be 9\/v*l\/12. Which is smaller: 2 or j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 21 = -2*h - r, -63 = -3*h + 2*r. Let x(y) = y + 2. Let i(o) = 9*o + 21. Give h*x(c) - 2*i(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 7*d**3 + d**2 - d. Let z = 5 - 4. Let l be j(z). Suppose -l = -h + 3. Solve -3*p - 3*y = p - h, 5*p = -y + 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 49807?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q = 3*d + 61, 11*q + 264 = -5*d - 407 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1900704574 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-5)\/2*(-80)\/50. Suppose -a*b = -6*b. Solve -3*z - 6 = -b*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -147?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 80*i - 16 - 19 - 23 + 57.\nAnswer: 80*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the second derivative of -j**3\/6 + j + 25. Let a(m) = -14*m**2. Determine l(a(s)).\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 15 + 0. Let m be -1 + (-9)\/(-12) - (55335\/(-140) - -20). Calculate the greatest common factor of c and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 148\/(-24) + -3 - (-279)\/31\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 707\/2 + (-5)\/2. Calculate the greatest common factor of q and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-y**3 - 5*y**3 + 4*y**3 + (3 - 2 - 2)*(-3*y**3 - 9*y**2 + 9*y**2))*(10 + 1 + 1) as h*y**2 + j*y**3 + c + k*y and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 771*t + 45300 = 1375*t for t.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = -8*h + 4*h + 1282, 954 = 3*h + 4*y. Is 40 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 137292553837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -55513656 * -5.\nAnswer: 277568280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 70084 and 6?\nAnswer: 210252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d*d**12*d*d*d**(-2\/35)*(d\/(d**(13\/3)*d)*d)\/(d*d\/(d\/d**5)) assuming d is positive.\nAnswer: d**(589\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 100 (base 3) in base 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1 + (-14)\/6)*(-24)\/(-10). Is k > -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21 divided by -3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2578201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -463*q**2. Let b(c) = -3*c**2 + 2*c - 2. Let u(d) = -2*d**2 - d + 1. Let i(v) = b(v) + 2*u(v). What is i(l(j))?\nAnswer: -1500583*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2651 - 2626. Calculate the remainder when 60 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 less than -1.155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**3 + 3*q**2 - 5*q - 2. Let p be l(-4). Suppose -2*z + 316 = p*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the third derivative of q**5 + q**4\/12 + q**3\/6 - 15*q**2. Suppose -2*v + 3 = -3*t, 4*v + 0*v = 0. Is g(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 49\/(-28) - (-4)\/(-16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 111*r = 63*r + 62*r - 252. Solve -r*n = -25 + 151 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -616 - -1791. Calculate the greatest common factor of 94 and m.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -5\/8148704?\nAnswer: -5\/8148704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -6  (b) 14  (c) 2  (d) -2\/5  (e) -27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -13443 by -4481.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 + -117 - (-3 + -18 + 15)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26357172 is divided by 299513?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -131\/6 - -64\/3. Let z = 0.2 - 0.3. Which is the nearest to z?  (a) r  (b) -0.4  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -4*c + 2*u - 23, 5*c + 20 = 3*u. Let j be ((-110)\/(-15) + c)\/(2\/984). Let q = j + 114. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 44076?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0 - -5)*3\/5. Suppose -l = n*j - 47, j - 3*l - 9 = 10. Suppose 0 = -0*d + 2*d - j. What is the remainder when 14 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {r: 4, q: 6}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-9)\/(-6))\/(6\/(-8)). Let i be 0\/(8\/h) + -1360. What is i rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i**3 - 317*i**5 + 0*i**3 + 3 + 318*i**5)*(3 - 2 - 3).\nAnswer: -2*i**5 - 4*i**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -11*a + 4 + 18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 + -26. Let r = v + 24. Let t = 14 + r. What is the closest to t in 5, -4, -1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = 5*u - 5*y - 18, 0 = u + 2*y + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 9*c**2 + 6*c + 5. Let z(f) = -19*f**2 - 13*f - 9. Calculate -13*m(v) - 6*z(v).\nAnswer: -3*v**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1033 - 2\/1*-1. Let x be (0 - 186)*(-150)\/9. Suppose -p = v - n, 0*n = 3*v - 2*n + x. What is v rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9199\/129 + 214\/3. Let b(v) = v**3 - 4*v**2 - 6*v + 5. Let u be b(5). Which is smaller: n or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -5*h - 7. What is the remainder when 110 is divided by r(-7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 3, m: 3, l: 7, n: 2}. What is prob of sequence nmlv?\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 23724 and 684?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1044 - -1145. Suppose -2*r = -0*r + 140. Let i = r + z. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 78\/(-7)*-56*(-336)\/(-40768).\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/h**(-13)*h**1)\/(h**(2\/7)\/(h*h\/h**(-4))))**(4\/7) assuming h is positive.\nAnswer: h**(580\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -151*g = -163*g + 12. Let i be (-18)\/(-4)*(-4)\/3. Let t = g - i. What is the lowest common multiple of t and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 2*l**2 + 15*l + 31. Let v(y) = -y**3 + 5*y**2 + 14*y - 9. Let n be v(7). What is the remainder when 347 is divided by q(n)?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54*u + 735 = 33. What is the greatest common divisor of 1 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.005997013 + 0.006. What is h rounded to 7 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -2*p - 5. Suppose -2*u - 20 = -2*g + 6*g, -5*g - 10 = 0. Suppose -11*q = -47*q + 612. Let k(c) = c + 4 - q + 11 - 2*c. What is u*i(f) + 14*k(f)?\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/9, 0.2, -17, -0.2, 3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - (3 + 1 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 3 + 4 = 0. Suppose -q*z + 0*z - 72100000 = 0. What is z rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -544366*t**2 + 5599*t**4 + 535337*t**2 + 2*t**3 - 2*t**3 wrt t.\nAnswer: 134376*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.32015 + 3.67985. Which is the nearest to 7?  (a) s  (b) 3\/8  (c) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -252*b**6 + 2*b**2 - 150 wrt b?\nAnswer: -30240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13760 and 228545?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (42 + 48 - 15)*(-16 + 10 + 21)*(-3*c + c + c).\nAnswer: -1125*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/60*2*(-205)\/(-492).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11702\/7 - -1672. Which is the closest to -0.12?  (a) n  (b) 0  (c) -0.5  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 59*m - 29276 = 46*m. What are the prime factors of m?\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 82*v + 2. Is r(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44 = 9*a + 2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7 - (-4 - -10)) + 12 - -10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (1*-2)\/((-45)\/((-1709235)\/(-22)))?\nAnswer: 3, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 176951 is divided by 44190.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (245 - 240) + 2 + 0 + (-2 - -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 + 2. Suppose -h - w = 4*h. Put -0.5, h, -4 in increasing order.\nAnswer: -4, h, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4211975 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 21\/2 of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 12*t*u**3 + 2*t*u**2 - 2*t*u - 73*t + 10*u**3 wrt u.\nAnswer: 72*t + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuggupnhllpg. What is prob of sequence hll?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 28*f**2 - 25*f**2 + 14 - 2*f**3 + 26*f**2 wrt f?\nAnswer: -6*f**2 + 58*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 - 0. Let f = 96 - 96.4. Sort 0.4, o, f.\nAnswer: o, f, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 0, -2, -3 in decreasing order.\nAnswer: 3, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -138692, -554491, -1247400, -2217419, -3464548, -4988787?\n\"Answer: -138555*f**2 - 134*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*w - 5*w + 70. Suppose 3*u - w = 1. What is the third derivative of -3*d**2 + 35*d - 35*d + 3*d**4 - u*d**4 wrt d?\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 14295032*n**5 - 30720899*n**2 wrt n?\nAnswer: 857701920*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 318.75894ms in hours?\nAnswer: 0.00008854415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -246760*m + 493255*m - 246496*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**3 - 13*g**2 - 14*g - 29. Suppose 773 = -102*w - 451. Determine v(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -96*i - 199. What is h(-6)?\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nll when three letters picked without replacement from {l: 4, b: 1, n: 6, h: 4}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 100194298 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 27627.0016253 - 27627. Round b to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-157 - 12 - 503 - 202)*(-2 + 2 - y) in the form z + x*y and give x.\nAnswer: 874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/8, -0.09, -14\/451?\nAnswer: -14\/451","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -101 (base 2) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-22)\/6*18*(-3)\/(-9). Sort 3, -4, f in descending order.\nAnswer: 3, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 171748 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 348 + 152. Let g(s) = 29*s + 21. Let o be g(-7). Let v = d + o. List the prime factors of v.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 7c + 7467?\nAnswer: 7516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:24 PM and 5:33 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 42008299?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0006390448 to five decimal places.\nAnswer: -0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1478, 3400, 5322, 7244?\nAnswer: 9166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.55?  (a) -1  (b) 2  (c) -4  (d) 10  (e) -2\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*156.\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 24114043 (base 5) in base 2?\nAnswer: 110110011100101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 5*f = -6*f + 582, -3*z = 5*f - 873. List the prime factors of z.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1686*n + 210*n - 74*n + 141050 = 0 for n.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*y = 7*y + 156. Is 2 a factor of 33\/2*(y - (-30)\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5627*x**5 - 34*x**3 - 3*x**2 + 1220*x - 6322?\nAnswer: 112540*x**3 - 204*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -141 - 5654?\nAnswer: -6125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 - 5)*(-12*q**5 + 0*q**5 + 3*q**5) - 6 + 6 - 3*q**5.\nAnswer: 33*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5.1 + -32.9. Let f = 31 + u. Let h = -3 + f. Which is the smallest value?  (a) h  (b) -2\/11  (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the third derivative of d**6\/45 + d**5\/120 + d**3\/3 + d**2. Let l(y) be the first derivative of q(y). List the prime factors of l(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -140*i - 1. What is the units digit of u(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 90\/17, -0.5, 5\/8, 0.1 in decreasing order.\nAnswer: 90\/17, 5\/8, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-13 + 17)\/(1\/(-2)). Let a be (20\/j - -3)*0. Suppose -4*z - 12 = 2*x, 2*x + 3*z + a*z + 7 = 0. What is the lowest common multiple of x and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.3 and -0.0414?\nAnswer: 0.01242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the first derivative of -2*v**7\/7 - 20*v**3\/3 - 19. Find the third derivative of c(t) wrt t.\nAnswer: -240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 14 = 3*c, 2*c - c = -5*h. What is the biggest value in 2\/9, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(1\/6)\/(f*f**1))**(-7\/3)*((f*f*f**(-1)\/f)**(-21))**(-3\/4) assuming f is positive.\nAnswer: f**(77\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 30*((-8)\/(-12))\/(2\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6.512 - 6.5114487. What is i rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4*((-2821)\/4732 - 2\/13)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6777.\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -12005 + 12029. Let a = 26 - 10. What is the highest common factor of a and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -41 + 41 - 4*y**2. Let x(u) = -291 + 0*u + 3*u + 291. Give t(x(c)).\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/26 in -2, -14\/25, -124, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 462 and 528?\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 5  (b) -2\/21  (c) 1  (d) 350\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -4*z - 4. Let i be x(-2). Suppose 5*c = i*q + 5, 2*c + 0*q + 2*q = 20. Solve 0 = c*f + 20, -4*f - 23 = -5*l + 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 225*b**2*r**2 + b**2 - b*r**2 - 2*b + 67 wrt r?\nAnswer: 450*b**2*r - 2*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 33792 and 1188?\nAnswer: 304128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.202 to two decimal places.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(15)\/sqrt(3) + 0 - (sqrt(5) + (sqrt(5) - (sqrt(5) + -1))*1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(171) + 5 + 5)**2 + (5 + sqrt(19) + (sqrt(19) - sqrt(95)\/(-1*sqrt(5))))**2*-2.\nAnswer: -77 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 2*j**3 - 13*j**2 - 4*j + 711. What is the remainder when c(0) is divided by 216?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m**3 - 3*m**2 + 3*m + 3. Let n be u(-4). Let f be 1 + (0 - n\/6). Let v = 15 + -13. Which is the smallest value?  (a) v  (b) f  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -75.3413 rounded to the nearest integer?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2156.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 34*(-28 - (-4 - -1)). Let k be h\/(-4) - (-1)\/(-2). Suppose 17*d - k = 13*d. List the prime factors of d.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60213557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l + l = -50. Suppose 75 = -5*x + l*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7954?\nAnswer: 2, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 53 + -49. Find the second derivative of -10*q - p*q + 6*q - 25*q**5 wrt q.\nAnswer: -500*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 2*j**2 + 32*j + 89. Determine v(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9631 is divided by 152?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1 and 12.5.\nAnswer: 1.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y**3 + 4*y**2 + 2*y + 5. Suppose -7*g = -4*g - 12, 0 = 2*q + 5*g - 8. Let o be ((-20)\/8)\/(3\/q). Determine m(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -115, 2 in descending order.\nAnswer: 2, 0, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -621 + 618. Suppose 0 = 3*j + g - 20, -6*g + g + 30 = j. Let q = 5 - j. Sort q, k, -1 in descending order.\nAnswer: q, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2434674 milligrams in tonnes?\nAnswer: 0.0000000002434674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*k + 9*k - k - 34*k + 148 + 14*k to the form f + a*k and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 214 is divided by (-4)\/(1\/81*-6).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2148\/13?  (a) 1\/39  (b) 3\/2  (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -5*-1*(2 + -1). Suppose -26 - 24 = -m*y. Calculate the smallest common multiple of 2\/(1\/(1\/2)) and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72635604077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 23*l**2 + 2029 - 2029 + (-2*l - 7 + 7)*(1 + 4 - 4)*(-2*l - l + l) + (5*l**2 - 3*l**2 + 0*l**2)*(5 - 3 - 5).\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -3.7  (b) -8  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.052 minus 31.7?\nAnswer: -31.648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -97*z**3 - 13*z**2 + 8*z + 12. Let r be y(-7). Round r to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 50.18341 millilitres to litres.\nAnswer: 0.05018341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.0989 and -0.3?\nAnswer: -0.02967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1\/150 + -287\/1950. Suppose -2*g = 6, 3 = 4*x - 4*g - 9. Which is the nearest to x?  (a) v  (b) 0.5  (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w - 5. Let p be m(-7). Let l(q) = -6*q + 2. Let t be l(p). Let d(c) = c**2 + 8*c + 11. Is d(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 2*k - 5. Let v be l(4). Let g(o) = -o**3 - 3*o**2 + 16*o - 15. Let s be g(-7). Suppose 4*b - v*f - 29 = s, -b = -f - 24. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y**2 + 11*y + 39. Determine w(15).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -22 + 11 + 1 + 26 + -20?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -8*o + 7. What is the tens digit of m(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes after 1:14 PM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 8, 56, 138, 254?\n\"Answer: 17*b**2 - 3*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.79934 - -10908.69934. Let w = f - 11762. Round w to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 4 = -4. Suppose 3*h + 17*h - 3260 = s. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2.02 - 2. Let s = -3.02 + g. Let k = 2.9 + s. Which is the nearest to 1?  (a) k  (b) 4  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**3 + 5*n**2 + 8*n - 8. Let c be f(6). Suppose b - c*b = -225. Let w = b - 3. Does 24 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:22 PM and 10:09 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 160*f - 19 = 159*f. Let k(q) = -4619 + 4619 - f*q. Let s(m) = -m**2. Determine s(k(g)).\nAnswer: -361*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -40 + 84. Suppose -3*w + 4*t = -g + 124, 0 = 3*w + 4*t + 40. Let m = w - -41. Calculate the greatest common divisor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-20)\/5)\/(1\/(-7)). Solve -18 = 3*s - 3*g, b = -5*s + 3*g + g for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (((-1)\/21)\/1)\/(1653\/1102 + (-22)\/12). Solve c*f**2 + 10\/7*f + 0 = 0 for f.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -3*o. Solve 0*s - s - 3 = o for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 123001, 123004, 123007, 123010?\n\"Answer: 3*t + 122998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -7285 divided by -89\nAnswer: 7285\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y + 5*i = 1, 24 = 565*y - 564*y + 23*i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the second derivative of s**6\/270 - s**5\/45 - s**4\/6 + 3*s**3\/2 + 4*s. Let u(p) be the second derivative of n(p). Determine r, given that u(r) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1697 + -1697.00753. What is p rounded to 4 decimal places?\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0\/4*(-1)\/(-5). Suppose x = -2*f + 32 - 2. Suppose 0 = -4*q - q + 280. What is the remainder when q is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/2 or 21281?\nAnswer: 21281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -655*p - 7822. Calculate c(-12).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the third derivative of -37*k**5\/100 - 61*k**4\/40 - 12*k**3\/5 - 355*k**2 - 2*k + 1. Solve j(v) = 0 for v.\nAnswer: -1, -24\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**1\/(t*t\/(t*t**3)))\/(t\/(t**(-7)*t)*t**(-2\/3)) assuming t is positive.\nAnswer: t**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -9543, -18614, -27685, -36756, -45827, -54898?\n\"Answer: -9071*d - 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -5, -30 in ascending order.\nAnswer: -30, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.15 in 2\/11, -4, 3, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 605 - 601. Let v = 199 - 205. Which is the closest to 0?  (a) v  (b) 2\/5  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - 0) + 295 + -308 - 35?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -2, 374, 5, -5.\nAnswer: -5, -2, -1, 5, 374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 11:35 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = -15, 5*u - 3*u - 3*p = 59. Calculate the remainder when 462 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 18520442 to the nearest integer?\nAnswer: 4304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3442 - 1787. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4649698*p**4*q**2 - 115*p**2*q**2 - 9*p*q**2 + 9*p*q - 4*q**2 + 573*q - 10 wrt p?\nAnswer: 55796376*p**2*q**2 - 230*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1922 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gqqxxqqgqqxqxq. What is prob of picking 2 q?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/(-28) + (-339)\/452?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10298 = 91*k + 8933. Solve 5*a = 3*i - 27, -k*i - 17 = -20*i - a for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzzi when four letters picked without replacement from zzzzizizz.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 3976*a + 103421. What is g(-26)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:56 AM and 2:35 AM?\nAnswer: 99","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: -0.22 * -226170\nAnswer: 49757.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 7330*x + 8875 wrt x?\nAnswer: 7330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 4*8*(-5)\/(-1760)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 107856, -18, 4\/37?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 7, b: 4}. What is prob of sequence bbg?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3\/9 - ((-148)\/6 - 1) is divided by 3\/(5\/((-140)\/(-6)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -405911997*i**4*p**2 - 2*i**2*p**2 + 1198*i - 28642*p**2 wrt i.\nAnswer: -4870943964*i**2*p**2 - 4*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -6 + 16*m + m**3 + 2*m**2 - 4 - 25*m + 4*m**2. Let l be c(-7). Suppose -l*u = -4*b + 1089 + 195, 4*u - 654 = -2*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-7)\/(6\/15 + 6\/(-10)). Solve -n = -6*o - o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/35  (b) -0.4  (c) -7  (d) 484\/3  (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1323.19 centimeters?\nAnswer: 13231900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 261*t. Let i(r) = r**2. Calculate p(i(d)).\nAnswer: 261*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**3 + 4*m**2 - 2*m - 4. Let z be p(3). Calculate the remainder when (3 + -1)*18 + (2 - 4) is divided by -1 + (-15)\/(2\/(-4) + z).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.028517*7.77\nAnswer: 0.22157709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 46*y + 5. Let v(g) be the third derivative of -199*g**4\/8 - 11*g**3 - 28*g**2. Let x(j) = 2*v(j) + 27*w(j). Let d(m) = -m. What is d(x(k))?\nAnswer: -48*k - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 0*k = -46. Calculate the remainder when 160 is divided by k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 56 = 5*g. Suppose z - 4 = -n, -4*n - z = -5*n + g. Suppose 3*t + 4*d = 14, 2*t - d - 4 = 9. Calculate the greatest common factor of n and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l + 5*u - 1098, u = l - 4*u + 282. Let h = l - -903. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i**2 - 2*i**2 - i**2)*((0*i + 2*i - 4*i)*(5 - i - 5) - 5*i**2 - i**2 - 2*i**2).\nAnswer: 6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1\/(-1))\/((-2)\/34). Let z(w) = -w**2 - 6*w + 3. Let b be z(-6). Find the second derivative of -42*q + 8*q**b + 22*q + x*q wrt q.\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**2 + 5*s - 7. Let d be k(3). Calculate the remainder when 5 is divided by (-4 + (-5 - -4))\/d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -5\/4498 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2 + 2 + 275\/(-11). What are the prime factors of 72\/(-42)*j\/2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -43, -40, -37, -34, -31, -28?\n\"Answer: 3*v - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 9\/(-3) + (-99)\/(-27)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:23 AM and 3:28 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1593643.\nAnswer: 1593643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 27 and 114035067?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -5 + 59607\/11799 - (-2)\/(-23). Which is smaller: 7.8 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -30 - -673?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (6\/(-4))\/((-3)\/(-9960)*15). Let w = g - -344. Solve q - 3 = x, -2*q - 2*x = 2*x - w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:38 AM and 8:02 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -36844652 rounded to the nearest 100000?\nAnswer: -36800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**2 - 7*m + 16. Calculate the remainder when g(11) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1642836 + -875848. Let l = z - 426988. Let m be l - (1 - 3) - 2. What is m rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3470025 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*d**3\/2 - 1869*d**2 - 2486*d\/3 - 92 = 0.\nAnswer: -138, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the second derivative of 49\/3*i**3 - 22 + i - 35\/2*i**2. Let s(h) = 11*h - 4. Give -4*n(q) + 35*s(q).\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.4 and -0.296406593044463.\nAnswer: 0.103593406955537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8 and 1076?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the third derivative of 0 + 0*m**3 + 0*m - 2\/15*m**5 + 0*m**4 + m**2. Let o(d) = 30*d + 39*d + 40*d + 29*d - 141*d. Give o(h(n)).\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.014 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/5, 0.28, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 7 = -2*r, y + 24 = r + 4*y. Let f(z) = -z**2 + 9*z + 4. Let w be f(r). Factor 18\/5*n**2 + 12\/5*n**w + 3\/5*n + 0 + 27\/5*n**3.\nAnswer: 3*n*(n + 1)**2*(4*n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-5)\/(-6) - (-2148792)\/144 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*i - 51 = i. Solve -29 = -0*h + 4*h + 5*b, 0 = -i*h + b + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 85\/765*(-1 - (2 - 0)). Put -29, i, -0.3 in decreasing order.\nAnswer: -0.3, i, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 585754555 by 5.\nAnswer: 117150911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k**3 + 12*k**2 - 2*k - 8. Let p(r) = 3*r**2 - 1. What is the remainder when p(-4) is divided by o(-12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -60 (base 7) to base 4.\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**2 - 20*o + 413. Determine g(-32).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 40330 and 327?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4545*s**2 + 1069*s**5 - 4545*s**2 + (3*s - 3*s + 2*s**5)*(3 + 3 - 4).\nAnswer: 1073*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-11)\/v*v**10\/v)\/(v\/(v\/v**5)*v**1) assuming v is positive.\nAnswer: v**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 644 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 233960512?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1*(-3 + 1 + 0). Suppose 0*t - t = 1, a*f + t - 103 = 0. Suppose -5*c + 54 = -36. What is the remainder when f is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 262059649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 1516451969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 2, -6, -1\/7, 1\/2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (5\/15)\/(3\/36). Suppose -k*b + 38 = 2*v, 2*b + 12 = v + 1. Solve 6*g - v = g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1072 minus 53015067907?\nAnswer: -53015066835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 7868.41981 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:39 AM and 8:23 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 191\/736440 and -31\/5700.\nAnswer: 3682200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1661611*j**2 - 169383*j wrt j?\nAnswer: -3323222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i and 1 a when three letters picked without replacement from {i: 2, a: 9}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 times 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**2 + 9*w + 3. Let y be k(9). Suppose d = y*s - 3*d - 6, s - 21 = -5*d. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -8*g - 125. Let z be y(-27). Let p = -68 + z. Calculate the remainder when p is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 77 + -89 + (4 - 22) + -1 + 6\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*m**2 - 37*m + 38*m + 4*m**2 + m**2 + 24*m.\nAnswer: 9*m**2 + 25*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -36569\/4158 - -130\/297. Let y = -98951\/14 + 7071. Calculate the common denominator of y and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 349991998 and 4.2?\nAnswer: 349991993.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v + v + 64. Let k be 74834\/1562 + 1\/11. Calculate the greatest common factor of k and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -11024.4 and -5139.\nAnswer: -16163.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -600 by 4564.\nAnswer: -150\/1141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1, 0, -197, 13, -25 in descending order.\nAnswer: 13, 3, 1, 0, -25, -197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/1664910 and -83\/998946.\nAnswer: 4994730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 0.06, 23, -0.1 in descending order.\nAnswer: 23, 0.06, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -15*t + 15. Let l(b) = 0*b**2 + 0*b - 29 - b**2 + 29*b. Let q(i) = -5*k(i) - 3*l(i). Factor q(d).\nAnswer: 3*(d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**2 - 8*l - 3. Let z be j(-6). Let d(h) = h**3 - 4*h**2 + h + 2. Let r be d(2). Let f = z + r. Which is the nearest to -1?  (a) -2  (b) f  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2 - 1 + 73*q**2 - 67*q**2 with respect to q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 l when two letters picked without replacement from {q: 2, l: 11, s: 5, y: 1}?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*c - 5900 + 17422. Suppose 0 = 3*w - 5*w + c. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 10*q**3 - 7*q**2 + 5*q + 5. Let o(a) = 9*a**3 - 6*a**2 + 4*a + 4. Let c(b) = -4*i(b) + 5*o(b). Find the third derivative of c(z) wrt z.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -254 - 14*c - 7*c - 16*c**2 - 4*c**2 + 20*c - 468 with respect to c.\nAnswer: -40*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 66*c*d**3 - 622*c*d + 85*c + 3862*d**4 - 7 wrt d.\nAnswer: 396*c*d + 46344*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4852, -7741, -8666, -7627, -4624?\nAnswer: 343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -65 by 28295.\nAnswer: -13\/5659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(17)*5)**2 + 1 - ((sqrt(68) + (sqrt(68) - 2*sqrt(68))*-5)\/sqrt(4))**2.\nAnswer: 6189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -10*j**3 + 4*j**2 + 5*j + 23. What is the hundreds digit of b(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that 2*s**3 + 9*s**2\/2 + s = 0.\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -563735 + 991584. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 3*x**3 + 633*x**2 - 7*x - 10009. What is q(-211)?\nAnswer: -8532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 44366284 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1 - 0)\/(2\/(-2)). Let i be 3\/1 + (-4902)\/1710. Which is the nearest to t?  (a) -0.3  (b) i  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -412*v - 1299. Is r(-67) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - -1) + -7 + 1 + 15 + -18 + 57.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 53 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 5  (b) 6\/53  (c) -0.216  (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y**3 - 3*y**2 + 2*y + 1. Let c be a(3). Find the third derivative of -3 - c - 2*w**4 + 10 + w**2 wrt w.\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*p + 3*p - 9*p**3 + 2*p.\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:50 AM and 8:15 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -44*l + 29. Determine m(6).\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -205159*t**2 + 0 + 3 + 205933*t**2 to q*t + l*t**2 + h and give l.\nAnswer: 774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 511, 2065, 4661, 8305, 13003, 18761?\n\"Answer: r**3 + 515*r**2 + 2*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -2*h + 7. Let d(q) = -q**3 - 7*q**2 - 8*q - 8. Calculate the remainder when c(-3) is divided by d(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 79*v - 36*v - 21 + 17 - 36*v. Let u(j) = -3*j. What is p(u(c))?\nAnswer: -21*c - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4\/30)\/((-1)\/(-5)). Let y be -1 + 15\/(-20) - (-57)\/28. What is the fourth biggest value in -2\/3, y, 5, v?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 193 divide 824921312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-4)\/(n**(-9\/7)\/n) assuming n is positive.\nAnswer: n**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1758401 - -7601.\nAnswer: 7600.8241599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x = 52127 + 82471. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 3*n - 1. Let x be u(-2). Is (-2)\/x + 188\/28 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 163, 156, 137, 100, 39, -52, -179, -348?\nAnswer: -565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 3, y: 2, l: 1, k: 10}. What is prob of sequence gk?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 2 * 95\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 1\/180156?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 - 2*i**3 + 2 + (0*i + 0*i + 3*i**3)*(-3 - 1 + 2) + (2*i**3 - 3*i**2 + 3*i**2)*(-2 + 1 - 1).\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 16*l**3 + 8*l**2 - 6*l - 8. Let s(p) = -p**3 - p**2 + p + 1. Suppose -3*b + 26 = 2*o + 13, 0 = 6*b - 2*o + 4. What is b*g(a) + 8*s(a)?\nAnswer: 8*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -3*c - 19. Let x be s(-6). Is 1\/29 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 318 is divided by 303.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*l = -1696 + 779 + 638 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 18\/11 + -76\/33. Let l be (-1075)\/(-10) + (-1 - 0) + 1. Let p = l - 108. Which is the closest to p?  (a) -1\/10  (b) 1\/6  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ndw when three letters picked without replacement from {n: 4, e: 4, l: 4, w: 2, x: 3, d: 3}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 998885 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*m = 100*m - 5171065. What is the thousands digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g. Let f(c) = -91*c. Let m(h) = f(h) - 4*j(h). Let p(b) be the first derivative of 3*b**2\/2 - 60486. Calculate m(p(s)).\nAnswer: -285*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 240 and 320.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that 4*f**3 + 9358116*f**2 + 18716220*f + 9358108 = 0.\nAnswer: -2339527, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j - 3*d + 7 = 0, -2*d = -667*j + 664*j + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 159511 and 935.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -60*a + 490. Let o be j(8). Solve 0 = 4*w + 4*x + 8, 4*w + 14*x - o = 16*x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 60, 62, 66, 72, 80, 90?\n\"Answer: o**2 - o + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 221525 and 50?\nAnswer: 443050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6*k - 3*k - k)*(23908*k - 48908*k + 29074*k) to y*k + j + q*k**2 and give q.\nAnswer: 8148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -15*b**3 - 18. Let p(r) = -r**3 + 1. Let k(v) = -a(v) - 4*p(v). Differentiate k(j) with respect to j.\nAnswer: 57*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 5 + 5)*(5*h - 3*h - 4*h)*(-h**3 - h**3 + h**3) in the form l + b*h**3 + g*h**2 + q*h + z*h**4 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 167124 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 167 + -101. Let p = -45 + z. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.462579 to 1 dp.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1481562 millilitres in litres?\nAnswer: 0.0001481562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -82 - -86. Let z(n) = 65*n + 20. Let o be z(x). What is the greatest common factor of 35 and o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 + -28287?\nAnswer: -28283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 90\/((-30)\/(-6))*(-2)\/(-4). Find the second derivative of -m*z**3 + 43*z - 69*z + 5*z**2 - 6*z**2 wrt z.\nAnswer: -54*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2045793519?\nAnswer: 3, 7, 11, 103, 28661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2 - 1)*(-1 - (2 + -2)). Suppose 0*o = u*z - 5*o - 43, -4*z = -3*o - 39. Find the second derivative of z*y**3 - 181*y + 188*y + 9*y**3 wrt y.\nAnswer: 90*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, -4\/3, 0.067, 1322, -17?\nAnswer: 1322","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 21, 19, 13, 3, -11?\n\"Answer: -2*x**2 + 4*x + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/22 - 14904\/(-1518). Solve f*s + 32 = -28 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3\/57179 + 4231033\/4059709. Is 0 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*t**2 + 2410*t + 290405.\nAnswer: 5*(t + 241)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 11882, 23932, 35982, 48032?\n\"Answer: 12050*g - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the third derivative of -s**5\/15 - 511*s**2 - 2*s. Let q(l) = 276*l. What is q(x(g))?\nAnswer: -1104*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*t - 4, 2*k = 6*k + 2*t - 6. What is the greatest common divisor of k and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:09 PM and 1:13 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/(-9))\/(-4*(-4)\/24)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 24879161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10913 by 105.\nAnswer: 1559\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -a**2 + 18423*a**3 + 35*a + 0*a**2 + a**2 - 18360*a**3.\nAnswer: 63*a**3 + 35*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*a + 5*a + 5*j - 18 = 0, 0 = 3*a + 3*j - 15 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.054, -4.082, -4?\nAnswer: -4.082","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 minutes before 11:26 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1691, 12917, 43389, 102731, 200567?\n\"Answer: 1604*w**3 - w**2 + w + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i**3 - 2*i**2 + i. Let m be (-6)\/18*(-1 + -2). Let a be w(m). Suppose -5*t + 0*y + y + 93 = a, 8 = 4*y. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -438a + 7302?\nAnswer: 2b34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -685*k - 130 = -711*k. Solve -y = -l + k, 4*l + 4*y = 4 + 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7362 - -7426. Solve -6*h = 16 - j for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 49.91*-64.\nAnswer: -3194.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 2*190688\nAnswer: 381376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -3*z**2 - 8*z - 3. Let v(j) = 10*j + 5. Let i be v(-1). Let u be d(i). Is u > -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.13 - 0.43. What is the second smallest value in -7\/6, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*a*b**2*v**2 - 11*a*b**2 - 3*a*b*v**2 - 10*b**2*v**2 - 2*b**2 + 183*b - 9*v**2 wrt b.\nAnswer: 8*a*v**2 - 22*a - 20*v**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -6*g**2 + 2. Let t be z(-2). Let j = 27 + t. Let v = 7 + -2. Is j smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -34 + -3 + -80 + 60 + -12.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -20231320202 (base 4) to base 15\nAnswer: -3020e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.6 in -4, -3, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 343339 and 79192?\nAnswer: 52187528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1096 and 141247?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2.47 - -0.47. Let q = 2\/315 + 4\/45. Which is the fourth biggest value?  (a) n  (b) 3\/2  (c) q  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 27, 13, -5, 3, -0.3?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 10*i + 9. Let n be (-2)\/(-13) + (i - 124\/(-208)). Let x = 6 - 3. What is the smallest value in x, 3\/4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 569 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 w(d) = -d**2 + 2*d + 3. Let h be (-3 - -5) + 3 + -3. Let s be w(h). Factor -1\/2*m + 1\/2 - 1\/2*m**2 + 1\/2*m**s.\nAnswer: (m - 1)**2*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 60\/(-50)*(-220)\/3. Let r = m - 25. Calculate the remainder when r is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10100101100010001001 (base 2) in base 7?\nAnswer: 5522515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**3 + 10*g**2 + 23*g - 113. Let y be v(-4). Let m = -5.4 - -5. Which is the third smallest value?  (a) m  (b) y  (c) 0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -s + 379, 4*z - 5*s + 369 = -2*s. Let g be 4\/z - (-6)\/(-18). Which is the second smallest value?  (a) g  (b) 1\/13  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**22*g*g*g**(2\/5)\/g)**(5\/11) assuming g is positive.\nAnswer: g**(117\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = 4*p - 14 - 91, 110 = 5*p - 3*m. Calculate the remainder when p is divided by (8\/(-4))\/((-2)\/9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -14555139*d**2*q + 34183*d + 53*q wrt d.\nAnswer: -29110278*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(60) + sqrt(60) + (sqrt(960)*-5 - sqrt(60)))\/(sqrt(36)\/sqrt(3)*-2).\nAnswer: 19*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-48)\/(-6))\/56 + 30\/(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(2\/29))**18 assuming g is positive.\nAnswer: g**(36\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4142314 (base 5) to base 8.\nAnswer: -205553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 1144*r**2 - 260 - 238 + 498 as q*r**2 + y + h*r and give q.\nAnswer: 1144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five quarters of a kilogram in grams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 42633688 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sum 2 and 999.\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*r**4 + 71639*r**3 + 442609*r wrt r?\nAnswer: 24*r**2 + 429834*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -16458345 divided by -5\nAnswer: 3291669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 - 3. Let d = 13 - 12.83. Let k = 0.13 + d. What is the biggest value in m, k, 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 802*v - 2379*v + 794*v = -797*v - 98 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.3 - 0.2. Let g = 4 + -6. Let a = -1 + g. Put a, f, 0 in decreasing order.\nAnswer: 0, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve p = 2032991*n - 2032987*n - 9, -5*n = -5*p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:09 PM and 11:21 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 17526, 16889, 15844, 14391, 12530, 10261?\n\"Answer: -204*t**2 - 25*t + 17755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -19*l + 63. Let q(n) = -n**3 + 15*n**2 - 16*n + 22. Let s be q(14). What is the tens digit of d(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 62*32\/2444 - ((-1628)\/(-1034))\/37.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g**3 - 7*g**2 + g - 3. Let j be n(7). List the prime factors of 5*4\/j - -1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2\/6 + 119\/21 and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*m**2 + 6*m**2 + m - 2*m to the form d*m**2 + q*m + f and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**3 - 3*y**2 + 56*y - 6. Let d be v(6). Suppose 2*m - 15 = -5*c, 0 = d*c - 7*c + 5*m + 30. Solve 5*o = -c*a + 15, 3*a + 0*a - o - 9 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 46524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 1198*p - 1186*p - 3.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -10*v**2 + 3*v + 2. Let g be h(2). Let z = g + 77. Let f = z + 19. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 288?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -743*-9236\nAnswer: 6862348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 60 + 9. Let f = 3 - -9. Calculate the remainder when (-4)\/2*q\/(-6) is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the first derivative of 207*p**4\/4 - 188*p - 43. Differentiate v(x) wrt x.\nAnswer: 621*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25 + (-30 - -2) + 40.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1152.9 + 1155.9. What is the closest to 2 in c, -0.3, -0.5, 40?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the second derivative of -77*s**4\/12 + s**3\/6 + 87*s**2 + 30*s. What is the derivative of y(q) wrt q?\nAnswer: -154*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1352*s + 864*s - 4025*s + 772839 = 4182*s for s.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 242 - 167. Suppose -97*z - w = -98*z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 92002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 250 + -185. Calculate the remainder when 338 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + b**3 + 66*b - 3*b**2 - 36*b**4 + 34*b**4 - b**3 - 67*b to f*b**2 + p*b**4 + a*b**3 + j + o*b and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -7 + 1 + 17 - 14\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence edq when three letters picked without replacement from {q: 10, e: 4, x: 1, d: 2}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*p = -318 - 102. Suppose -63*l + 150 = -p*l. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*v**6 + 244*v**3 + 973*v**2.\nAnswer: 240*v**3 + 1464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -177*i = -108*i - 2592951. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -22.3072137 + -0.7933633. Let f = a + 23.1. What is f rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = 3*r + 13, -4*p - p = r - 5. Suppose -p*z - 6 = 2*t, 2*z + z = 5*t + 23. Sort -24, z, 0 in increasing order.\nAnswer: -24, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -12.4 * -24.\nAnswer: 297.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1*15 + 9 + -5. Suppose -7*a = d - 8*a - 4, 3*d + 4*a = -23. Sort t, d, 3.\nAnswer: d, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4, -11, -32, -59, -92?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -23\/5, -1\/5, 0.3, 5, 1, -3 in decreasing order.\nAnswer: 5, 1, 0.3, -1\/5, -3, -23\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o + 5*o + 1. Let u(x) = 20*x**2 + 9*x + 3. Let w(t) = -t**2 - 1. Let d(g) = o*u(g) - 3*w(g). What is the second derivative of d(f) wrt f?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + -3. Let t = 7 + -6. Let q be t - 0 - 21\/9. Which is the smallest value?  (a) -1\/2  (b) q  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1106 divided by 158\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2120211351 to the power of 1\/3, to the nearest integer?\nAnswer: 1285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/6 and -40\/159.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 0 - 4*y**3 + 3*y**3 - 4*y**3 - 4*y**3 + 0*y**3 + 2*y**3 + y**3 + (y + 2 - 2)*(-2*y**2 - y**2 + y**2) + y**3 + 2*y**3 - 5*y**3.\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 9938 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -50 - 16*b + b**2 + 50 + b**2 to the form u + w*b + x*b**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 11 = 19. Suppose b - 18 = -4*s. Sort -2, s, -4.\nAnswer: -4, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hephpephhehe. What is prob of sequence ep?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 42*n**3 - 22*n**2 + 13*n + 5. Let b(q) = -q + 23. Let w be b(8). Let f be z(w). What is f rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1360320 to the nearest 1000.\nAnswer: 1360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -6 + 2c?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-10)\/5*((-8491)\/2 + -3). Suppose 12*u + 1561 = m. Suppose 3*z + o - u = 0, -779 = -z - 3*z - 3*o. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1276 - -1288. What is the greatest common divisor of w and 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(88) + -2*sqrt(88)*1))\/((-2*sqrt(256))\/sqrt(2)).\nAnswer: 3*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1*4 + 120\/6. Let r = -23 + i. Solve r = 2*g - g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3444575 to the power of 1\/2, to the nearest integer?\nAnswer: 1856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (6\/7)\/((-180)\/(-840)). Suppose -d + 1981 = -u*b, -3289 = -2*d + 3*b + 688. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1*1\/5)\/(46*5491\/(-29716))?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*s = -10*s - 5*j + 24, 5*s - 8 = -3*j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6\/1423 - -1435\/2846. Let s(n) be the second derivative of -1\/20*n**5 - 3*n**2 + 0*n**3 + 0 + o*n**4 + 12*n. What is s(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 5*d - 44462 = 43775, -2*d = t - 44096. What is the ten thousands digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, 866, 546 in descending order.\nAnswer: 866, 546, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 68  (b) 7476  (c) -0.1  (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3 + 2 + 5\/4. Let u = 16 + -9. Let o = u - 7. Which is the closest to o?  (a) 3  (b) z  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -12 + 26. Suppose m = -4*t + 1, -4*t = -4*m - 2*t - o. Let a = m + -89. Round a to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*n**5 + 2*n**5 - 3*n**5 + (n - n - 3*n)*(n**4 - 8*n**4 + n**4) + (4*n**3 - n**3 - 4*n**3)*(2*n**2 - n**2 + 3*n**2) - n**5 - n**5 + n**5.\nAnswer: 14*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -991490, -991279, -990926, -990431, -989794, -989015, -988094?\n\"Answer: 71*a**2 - 2*a - 991559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 62 divide 10774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 8616653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-2)*(-9464)\/(3094\/34).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1621180*k**3*t**2 - 2*k**3*t + k**3 + 182*k**2*t**2 + 124*k**2 - 2*k*t**2 - 2*t**2 + 3 wrt k?\nAnswer: 9727080*t**2 - 12*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/24 of a millennium?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16 + -1 + (-13 - 5 - -2) + 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the second derivative of w**3\/2 - 2*w**2 - w. Suppose -5*o + 32 = -2*o + 4*v, 0 = 3*o + v - 17. Give f(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-24)\/5)\/(4\/20). Let h = -20 - n. Calculate the least common multiple of 14 and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5810 is divided by 48?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -173, -306, -481, -698, -957, -1258?\n\"Answer: -21*g**2 - 70*g - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (2 + (-85)\/2)\/((-7548)\/(-10064))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -13 and -0.079?\nAnswer: 12.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 24*p + 35*p + 22 - 2465*p**2 - 610*p**2 + p wrt p?\nAnswer: -6150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**3 - 13*k**2 + 15*k - 41. What is z(-14)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -47641 + 67401. Is 40 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(245) - sqrt(245)*-4)**2 + sqrt(50)\/(sqrt(60)\/sqrt(6)).\nAnswer: sqrt(5) + 6128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c + 1 = 11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 3*u**3 + 385*u**2 - 2712*u + 56571. What is z(-136)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put together -555 and -198240.\nAnswer: -198795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 215102 - 102753. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1*9\/6*-4. Let x = m - -9. Let i be -1 + 0 - (-1)\/x. What is the nearest to i in 3, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2403852.1 - -2404060.09394. Let a = u + -208. Round a to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = -5*r + 17, -c = -4*r + r + 7. What is b in 6*b - 3 + r*b**2 + 6 + 0*b**2 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4.147 + -4.247. Let k = 0.07 - -4.93. Which is the third smallest value?  (a) k  (b) 0.2  (c) 8  (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the first derivative of -u**4\/4 - 286*u**3\/3 - u**2\/2 - 3600*u - 1456. Differentiate m(x) with respect to x.\nAnswer: -3*x**2 - 572*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 28 and 12712.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.57 * -0.4.\nAnswer: -0.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 43, 33, 17, -5, -33, -67?\n\"Answer: -3*v**2 - v + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -12*k. Let y(u) = -162*u**2 + 14284*u. What is c(y(l))?\nAnswer: 1944*l**2 - 171408*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.1 + 0.8. Let o = a + -2.7. Let v = -11 - -11.5. What is the closest to 0 in 5, v, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g\/(g\/g**(-15))*g)\/g*g)\/g**(-5))\/(g*g*g*g**(-2\/9)\/g*g*g**19*g*g) assuming g is positive.\nAnswer: g**(-295\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*o = -11*o - 2*d - 181, 4*o - 242 = 2*d. Suppose 20 = 2*s + 2*s, -2*j + 3*s = -o. Calculate the greatest common factor of j and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 56 (base 7) to base 9\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(1\/4))**(15\/2)\/(g**(-1)\/g*g)**(2\/25))\/((g\/(g**0\/g*g))**39)**(-15) assuming g is positive.\nAnswer: g**(117391\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*t**3 + 3*t**3 - 6*t**3)*(-2*t - 5 + 5 + (2 + 0 - 1)*(-3*t - t + 3*t) + 2 + t - 2 + 4*t - 2*t - t + (3*t - 4*t + 3*t)*(-4 + 5 + 1)).\nAnswer: -15*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*v**2 + 2010 - 37*v**3 + 102*v**3 + 131*v**2 + 1377*v - 32*v**3 - 36*v**3 = 0. What is v?\nAnswer: -5, -2, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hoooooohhleoheoooho. What is prob of sequence hee?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -225205 (base 9) to base 7.\nAnswer: -1101452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 17*q**2. Let i(f) = -3*f**2 + 2*f. Let x(d) = 3*d**2 - 3*d. Let z = 36 + -33. Let h(c) = z*i(c) + 2*x(c). What is h(t(u))?\nAnswer: -867*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3827459 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 204 is divided by 146?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/8*-4)\/(14\/(-4))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -4747, -9842, -15247, -20962?\n\"Answer: -155*t**2 - 4630*t + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 2*d - 2. Give s(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 39 + -88 + 22 + -26\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes after 1:10 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, -9, 1, -374 in ascending order.\nAnswer: -374, -9, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 43 - -2617a?\nAnswer: 26212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 57, 73, 105, 159, 241, 357, 513?\n\"Answer: s**3 + 2*s**2 + 3*s + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d. Let i be v(1). Is 9 a factor of (1 + 0)*(-19)\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 4*w + 15 = 0, 3*u - 23 = 2*w + 3*w. Find the first derivative of -1 + 2 + 2*s + u + 1 wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 34 - 34. Suppose 8*p - 3*p - 1130 = j. What are the prime factors of p?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 833332*v + 8. Let h = 12 - 6. Let o be j(h). Suppose 5*z = w - 1250000, 3*z = 4*w - 0*z - o. Round w to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1613, 3248, 4901, 6572, 8261?\n\"Answer: 9*m**2 + 1608*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:46 PM and 2:54 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -11, -12, -25, -56, -111, -196, -317, -480?\n\"Answer: -b**3 + 6*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m*(m*m\/((m**(-5\/2)\/m)\/m))\/m))**10 assuming m is positive.\nAnswer: m**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -4 - ((-109 - -60) + (-2 - (-4 - -4)))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7330127, 7330125, 7330123, 7330121?\nAnswer: 7330119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 679 + -676. Suppose 0 = j - 0 - 4. Solve -i = p - 4 + 7, -j*i - d*p = 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 24 - 28. Let y = -0.2 + -0.3. Let w = 5259.1 - 5259. Which is the nearest to w?  (a) y  (b) h  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 40 + (-36 - -30) + -34.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 - -8. Let k = 12.35 - o. Let l = k - -0.05. What is the third biggest value in 0.2, l, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3586\/(-1452)*6 + 15?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 425197?\nAnswer: 425197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = -w + 41201, -4*w - 804*x = -801*x - 164753. Is 253 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c = 4*s - 2*c - 2, -c = 4*s - 17. Let b be (4\/6)\/(s\/9). Suppose 0 = -b*m + 29 + 49. Calculate the highest common divisor of 195 and m.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c**3 + 1293*c**2 - 10296*c + 20560 = 0. What is c?\nAnswer: 4, 1285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m*m\/(m*m\/(m*m**(-5\/3))*m*m))\/m)**(-29)*(m*m**(-4))\/((m\/(m\/((m**(-4\/13)*m)\/m*m))*m)\/m) assuming m is positive.\nAnswer: m**(2872\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -383470 rounded to the nearest 10000?\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*o**2 - 4*o + 4*o + 2*o + 6*o**3 as k*o**3 + m + f*o + y*o**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3047314956?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 2 + -4 - ((1584 - 1577) + (22 - -2))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (0 + 0\/1)*1. Let y(n) = -n**2 - 4*n + 1. Let l be y(-3). Suppose t - l = -w*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 4 = -q, -i + q = -q + 8. Suppose -x = -i*x - 9. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1215 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(112)*-2 + 0.\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 663 + 67?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11 + 22. Suppose 0 = b*g - 12*g + 3. Let t be g + (3 - ((-3)\/3 - -1)). Solve o = 4*o - t for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (39\/52)\/3*48\/(-756)?\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together -32.586534 and -0.03.\nAnswer: -32.616534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -473, 0.6, -0.9?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -1060001*c**2 + 4*c + 5. Let q be p(5). Round q to the nearest 1000000.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qiqqqqiqqqqi. Give prob of sequence qi.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the first derivative of 3*n**2 - 5*n + 1. Let j(p) = 7*p - 6. Let z = -84 - -79. What is z*b(y) + 4*j(y)?\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 7277 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 190 + 692c7?\nAnswer: 69457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1959, 3921, 5883, 7845, 9807?\nAnswer: 11769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4002 and 23046.\nAnswer: 668334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 4*u**2 - u + 1. List the prime factors of i(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 3*j + 423, 10*j - 13*j + 15 = 0. What is the remainder when w is divided by (-18)\/12*148\/(-3)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10 and 76?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-13*u - 26 + 26)*(-177 + 3*u - 7*u + 179) to n*u + l + m*u**2 and give m.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10382.\nAnswer: 2, 29, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 266 + -255. Suppose -m - 2*d - 119 = -2*m, 607 = 5*m + 2*d. What is the greatest common divisor of y and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -343834 divided by 2.\nAnswer: -171917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Are 899 and 161144\/179 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the second derivative of 1199*p**4\/12 + p**2\/2 - 8*p. Let c be s(1). Round c to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -4*p**3 + 4*p + 3. Let g be v(-3). Let h = g - 145. Let c = 99 + h. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*l**2 - 43*l**3 + 99*l**3 - 414*l**3 - 107*l**3.\nAnswer: -465*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*i = -6*i - 1755. Is i greater than 195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the third derivative of 2\/105*n**7 + 0*n**4 - 1\/20*n**6 + 0*n + 1\/30*n**5 - 10*n**2 + 0*n**3 + 0. Factor f(a).\nAnswer: 2*a**2*(a - 1)*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5.3*0.11.\nAnswer: 0.583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 168025?\nAnswer: 5, 11, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4\/3, -1\/12, -0.3, 0.019, 0.2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 1288872 divided by -117\nAnswer: -11016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 217*n + 353*n + 2394 = 171*n. Let h = -188\/95 - -30\/19. Let d = -0.1 + 0.1. Which is the nearest to d?  (a) h  (b) -0.5  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13174139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1290 and 3480205?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the second derivative of 8*r**3\/3 + 28*r. What is q(-1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1369\/315 - -156\/35. Put k, -3\/4, 84, -4\/5 in increasing order.\nAnswer: -4\/5, -3\/4, k, 84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -1 + 5*g**2 + 4*g**2 - 3*g**3 - 5 + 5*g + 2*g**3. Suppose 16 = 2*y + 3*f, -y - 6 + 7 = -2*f. What are the prime factors of i(y)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9.1 * 0.5.\nAnswer: -4.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 99328 and 1725824.\nAnswer: 13806592","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**10\/m*m*m**(-5))\/(m**(-13)\/((m*m**(-3\/14))\/m)) assuming m is positive.\nAnswer: m**(249\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5 - -12.685787.\nAnswer: 12.185787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8172, 32480, 72924, 129504, 202220, 291072, 396060?\nAnswer: 517184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 81 and 486.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 281315412*f**4 - 278995069*f wrt f?\nAnswer: 3375784944*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - z - 86 = 0. Suppose -3*y + i + 47 = -y, 2*i + 6 = 0. What is the remainder when z is divided by y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 36234 to the power of 1\/2, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1 and 0.2851?\nAnswer: 0.2851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24 and 227856?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**3 - 4*m**2 + 36*m + 7. What is the hundreds digit of o(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 - 1221?\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1 and -0.128.\nAnswer: 0.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 - 430 - 76 = 68*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 760899696*n**5 + 48673960*n**2 + 10*n?\nAnswer: 45653981760*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32 (base 10) to base 14.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -13*j**3 + 194*j**2 + 44*j - 461. Calculate u(15).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.13 + 0.1. Let f = -3.97 + m. Which is the biggest value?  (a) -0.5  (b) f  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 3*g - 4. Let h(w) = w**2 + 4*w + 3. Let o be h(-4). Let p be a(o). Suppose -z + 3 = -0*z. Solve v = -3, z*v - 8 = -p*x - v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3030 > 3033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 177739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-2)\/6)\/((-55)\/30). Sort 0, -2, z in ascending order.\nAnswer: -2, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -494*y**3 - 203972*y**2 - 140037942*y.\nAnswer: -2964*y - 407944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2731*g**4 - g**2 + 2293*g wrt g.\nAnswer: 32772*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 16653 or 16847?\nAnswer: 16653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*k - k + 7*k + (-4*k + 4*k - 2*k)*(-1 - 2 + 2) + 5*k - 3*k - 3*k - 1 + 1 - 2*k + 4*k + 0*k - 2*k)*((3*k - 5*k + 4*k)*(6 - 3 - 1) - 313 + 21*k + 313).\nAnswer: 100*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 1, -13, 5, -6.6, 0.3 in decreasing order.\nAnswer: 5, 1, 0.3, -0.4, -6.6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = 15, 2*h + 20 = -5*y + 3. Solve 3*u + h + 8 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 - 28\/(-10))*(-170)\/(-68). Sort 11, q, -1, 4 in ascending order.\nAnswer: -1, q, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -0.4, 5525, 0, 6.95.\nAnswer: -0.4, 0, 3, 6.95, 5525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the first derivative of -511*x**2\/2 + 1982. Let k(q) = 13*q**2. Give n(k(b)).\nAnswer: -6643*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(1\/45)\/(c**(-47)*c)*c**20\/c**(-14\/9) assuming c is positive.\nAnswer: c**(3041\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 15*n**2 - 18*n. Let h(y) = -y**2 + y. Let k(x) = -b(x) - 18*h(x). Let u(r) = 58*r**2. Determine k(u(m)).\nAnswer: 10092*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 86260*s**2 - 9*s + 9. Let q be f(1). Suppose -12*o + 293456 + q = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 49 and 1421.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -55 - -380\/7. Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(102)*1 - sqrt(102))\/sqrt(6) + 5.\nAnswer: -2*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3.7 and 8727579.\nAnswer: -32292042.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 36\/(-15)*(-40)\/24. Solve 0 = -s + k + 3, -6*s + 3*s = -j*k - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 72.9 - 73. Let c(t) be the second derivative of -t**3\/3 + 2*t**2 + t. Let m be c(3). Which is greater: m or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3 + 2145?\nAnswer: 2148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -48\/17, -4, -15.\nAnswer: -15, -4, -48\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 8 - 3*f - 8 - 8 + 4*f + 8 + (-2 - 4 + 4)*(-f + 0*f + 0*f) as u*f + j and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:31 PM and 2:47 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 156*x + 1705. Calculate v(-19).\nAnswer: -1259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the third derivative of g**7\/280 - 11*g**6\/480 + g**5\/48 + g**4\/32 - 2*g**2 - 10*g + 25. What is v in x(v) = 0?\nAnswer: -1\/3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 6685270 - -4?\nAnswer: 6685274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 + 3.02. Let y = k + -0.12. Let f = -0.9 + y. What is the nearest to 1 in f, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 34072 (base 9) to base 2\nAnswer: 101100010001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in three fifths of a hour?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1105062 is divided by 660.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58*i + 6*g + 197 = -59*i, i - 166 = 5*g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -970*n**3*q + 7*n*q**3 + q**3 + 44855*q wrt n.\nAnswer: -2910*n**2*q + 7*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6*3530\/60 + (-1)\/(-1). Let y = w - 2482\/7. Let u be (-2 + (-15)\/(-9))*-6. What is the fourth smallest value in y, -2\/9, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*y = -4*g - 57*y - 20, 5*g + y + 24 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -2*q + 20. Let u be c(9). Suppose u*j + 3*w = 74, -196 = -2*j - 3*j - 2*w. Let f be (-60)\/(-9)*12\/5. Calculate the highest common divisor of j and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28040600 is divided by 7695?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n**4\/5 - 226*n**3\/5 + 5286*n**2\/5 + 26098*n\/5 - 6232 = 0 for n.\nAnswer: -5, 1, 41, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0293892727 rounded to 5 dps?\nAnswer: 0.02939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**2. Let r(f) = f. Let m(u) = -u**2 + 2*u + 2. Let c(p) = -m(p) + 2*r(p). Let l be c(2). Let q(d) = -d**l - d + d. Calculate q(j(o)).\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.6 - -0.2. Let g = 1.7492 - 1.6392. Suppose 3 = 4*q - 9, q + 5 = -4*x. Put x, 1, c, g in descending order.\nAnswer: 1, g, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36 - 11 = -5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 152141*b**3*g**2 - b**3*g - b**2*g**2 + 59*b**2 + 3077*b*g**2 + b wrt b?\nAnswer: 912846*g**2 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 4*j**2 + 0*j**2 + j - 3*j**2 + 5*j + 1. Let u be x(-7). What is the second derivative of 15*z + 25*z**5 + 3*z - u*z**5 wrt z?\nAnswer: 340*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n**2 + 70*n + 148 = 0. Calculate n.\nAnswer: -2, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -5 + 6 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 54*u - 1 + 2*u - 2*u - u + (2*u + u - 4*u)*(7 - 4 - 1) + 2*u - 3*u + 3*u - 2*u + 5*u + 0*u to the form c*u + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -2*x**2. Let j(g) = -34 - 28 + 61 - 3*g**2. Give j(d(k)).\nAnswer: -12*k**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45 - 80 = -25*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 33242 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -65321, -66357, -67395, -68435, -69477, -70521?\nAnswer: -71567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5114 rounded to the nearest 100?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4 + -430114?\nAnswer: -430110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1441 - 73204?\nAnswer: -74645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6421 is divided by 6419.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55*m + 61*m - 104538 = 0. List the prime factors of m.\nAnswer: 7, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p**2 - 3*p**2 + p**2)*(-2 + 2 - 2*p) + 2*p**3 - p**3 + p**3 - p + p - p**3 + (-p - 3*p + 3*p)*(5*p**2 - 3*p**2 - p**2).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 238*v + 821*v - 139*v + 167*v in the form d*v + t and give d.\nAnswer: 1087","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1461440216?\nAnswer: 2, 182680027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 4920583891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*y + 29*y = 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:29 AM and 8:55 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -42759 smaller than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the second derivative of -k**4\/6 + 984*k. Let q(w) = -37*w**2 + 2. What is s(q(u))?\nAnswer: -2738*u**4 + 296*u**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 310481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 - 0.72. Let x = 7.32 + v. Let h = 0.8 - x. Round h to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence www when three letters picked without replacement from wwwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 - 8 = 6*z - 42*l + 81*l - 42*l, 2*l = -2*z - 7*l + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 23, 42, 77, 128?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7 + -3. Let i be (-1)\/((n\/4)\/1). Let l be ((-3)\/6)\/((-5)\/6). Which is the nearest to i?  (a) l  (b) 1\/2  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate p**2*r**2 - 495703*p**2 + 1331*p*r - 2*r**2 - 18*r with respect to r.\nAnswer: 2*p**2*r + 1331*p - 4*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -17618*l - 193775. Calculate k(-11).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -2*d + 1. Let k(m) = -2*m + 2. Let j(s) = 5*c(s) - 4*k(s). Suppose 0 = -a - 3*i + 12, -3*i + 13 = 1. Suppose a = 4*x + 8. Determine j(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c = -5*o - 0*o - 14, -5*c = 3*o + 18 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let 18*u**5 + 40*u**4 - 10*u**3 - 40*u**2 - 8*u = 0. Calculate u.\nAnswer: -2, -1, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 560 divide 2028523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1076717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1868 and 69404606.\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x + 14*q + 456 = 0, -x + 216*q = 213*q - 106 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 7) + 2 + -9 + 0 + 0.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence akkd when four letters picked without replacement from hahkipkpkhikkid?\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 1231 = 2*c - 1572, -c - 3*y + 178 = 0. What is c rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3689 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*h - h + 3. Let m(j) = 2*j**2 - 3. Let p(g) = 3*g**2 + 6*g + 5. Let x(w) = 2*w + 3. Let r(s) = p(s) - 3*x(s). Calculate h*r(t) - 4*m(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*sqrt(1377)*2 + -1*sqrt(272) + -5.\nAnswer: -5 + 86*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 25\/4 of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.3  (b) 2.6  (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -64b31 (base 12) to base 7\nAnswer: -1062415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 156361976 divided by -6\nAnswer: -78180988\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**3*f*f**18\/f*f assuming f is positive.\nAnswer: f**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18951 is divided by 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n - 1. Let g(c) = -4*c + 2. Calculate 2*a(w) + g(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*w = -45*w + 31*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0418261509 to 3 dps.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -827*m - 20644 = -33*m for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*m = -3*m - 90. Let q = -14 + m. Suppose -5*v = 2*p - 67 - 16, 136 = q*p + 4*v. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17455 (base 10) to base 13.\nAnswer: 7c39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3416383 to the power of 1\/2, to the nearest integer?\nAnswer: 1848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -2.691  (b) 1\/4  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -c + 0 + 0 + (230855*c - 473990*c + 230967*c)*(-3 + 0 + 1) to the form q*c + f and give q.\nAnswer: 24335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes before 4:49 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kclcror. What is prob of picking 1 r and 1 c?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2094 is divided by 37.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2230.91 + 2231. What is the nearest to -2\/7 in q, 0, -1, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 27 * -881\nAnswer: -23787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1, 4\/95, 69?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*q - 20*q + 32 = 0. What is the lowest common multiple of q and 16?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s - 4*a + 90288, -2*a + 2 = 8. What is s rounded to the nearest 1000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 7, d: 5, o: 2, m: 5}. What is prob of sequence om?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45 = 2*g + 7*r, 171684*g = 171685*g - 3*r - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 25.55001573 - 25.55. Round r to six decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y and 2 g when four letters picked without replacement from eeeggygggeeygee?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes after 3:47 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1.1 + -0.996. Let q = a + -0.1. What is q rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 980 = 17*x + 45. Suppose 75 = 5*f - x. What is the remainder when f is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c = d - 19, -d - 4*c + 0 - 14 = -1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 2 s when three letters picked without replacement from {h: 1, y: 5, s: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 37*r - 105538 - 7460. What is the thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 10, t: 1, p: 4, i: 1, q: 3}. What is prob of picking 1 o and 1 q?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 77004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2005274130?\nAnswer: 2, 3, 5, 89, 331, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -2\/5  (b) 2  (c) 304  (d) 5  (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -4095, -8851, -13607, -18363, -23119?\n\"Answer: -4756*s + 661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 517829573?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.35 + 0.05. Suppose 0 = 4*x - 5*x - 18. Let c be (-3)\/x + (-10)\/12. What is the closest to c in -5\/3, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1097632.\nAnswer: 2, 34301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7.7 + -8. Let l be 27\/(-18) + 22\/20. Which is the third smallest value?  (a) -0.5  (b) l  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2385\/(-53)*4\/(-10). Suppose 4*f - 6 = 2*f + g, -5*f = -g - h. Solve -10 = 4*p + 2*n, 4*n - f = p + 3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -422113591*a**5 - 204671434*a wrt a?\nAnswer: -8442271820*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4\/5 in -0.3, -0.4, -203, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4.8 + -5.8. Let f = 271 + -272.281. Let l = f - -0.181. Which is the closest to l?  (a) s  (b) 0.1  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**3 - 13*k**2 + 32*k + 200. Give h(-13).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 241, 883, 1953, 3451?\nAnswer: 5377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 279*y + 3008. Let f be x(101). What is the highest common factor of 13 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45 divided by 7.\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*c = 8*c + 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*t - 91 = 38. Which is the biggest value?  (a) 3  (b) t  (c) -0.2  (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**4\/5 - 209*a**3\/5 + 11227*a**2\/5 - 31827*a\/5.\nAnswer: a*(a - 103)**2*(a - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 12\/(-39) + 66\/(-2145)*965\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1212 + (1 - 3) + 4. Suppose 2*i + 6*s = 3*s - 490, -2*s = 5*i + z. Let p = -162 - i. What is the greatest common factor of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -4*w + 28, 2*w + 10 + 31 = 3*d. Let x(s) = 2*s**2 - 15*s + 5. Does 21 divide x(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 317872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 3*u + 9*u**2 + u - 3*u + 3*u + u**3. Let d be q(-7). Calculate the greatest common divisor of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the first derivative of -t**3\/3 - 3*t**2 + 10*t + 2. Let b be c(-7). Solve 2*d + b*d - 20 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -333222000 (base 5) to base 8.\nAnswer: -5445213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**2 - 35*d + 448. Give c(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/33  (b) -0.32  (c) -0.1  (d) -1024\/7  (e) 3  (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + -2 + 6*(5 + 2*-2*sqrt(720)*5*6))**2.\nAnswer: -414720*sqrt(5) + 373248576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes before 2:42 AM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -78 - -77. Let a(q) be the third derivative of -11*q**6\/120 - q**3\/6 - q**2. What is the tens digit of a(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -3*p**2 + 3*p**2 - p**3 - 7*p**2 - 8. Let f be 3*(-2)\/(-3)*(-42)\/12. What is u(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 2*z - 11. Let l be o(7). Suppose -2*k + 9 = -l. Suppose 259 + 209 = k*t. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = 2*h - 5*h. Suppose 0 = 2*v - 0*v - 20. Calculate the lowest common multiple of h and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1733 is divided by 58?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 106*b + 687. Let w(j) = -53*j - 375. What is 6*d(q) + 11*w(q)?\nAnswer: 53*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3, 3, -5, 4, 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 5*t - 7. Solve t*u - 5*u + 13 = -3*l, 5*l = -4*u - 29 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that 2*x**3 - 7599926*x**2 + 15199844*x = 0.\nAnswer: 0, 2, 3799961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -78 + 76. Which is the closest to h?  (a) 2  (b) -2  (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -5392*g + 15917. Determine y(3).\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -18*k**2 - 3*k**3 - 9 - 10 + 43 + 3*k**4 + 12*k.\nAnswer: 3*(k - 2)**2*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9501 by 3167.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 + 4*r + 10 + (4*r - 3*r + 0*r)*(4 - 2 - 1))*(-1 + 1 - r).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iijiiiiiijiii. Give prob of sequence jji.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3.95 - -38.65. Let f = -43 + z. Which is the third smallest value?  (a) -7  (b) f  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 72 = -97. Let s = 1355\/8 + l. Sort -0.3, 0.2, s in descending order.\nAnswer: s, 0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(18\/(-4))*21\/(-49)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 70 times -1.5659?\nAnswer: -109.613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (9\/(-3) + 8)\/(1\/1). Solve o*s + 20 + 0 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((z\/z**(-2\/5))\/z)\/z)**(-4\/11)\/(z**(-1))**(-43))\/((z\/(z**(2\/7)*z))**(-25\/2)*z\/(z*z*z*z**4*z)*z*z**(-1\/3)) assuming z is positive.\nAnswer: z**(-46223\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**3 + 2*x**2 - x + 2. Let q(u) = 2*u**3 + u**2 - u + 3. Let y(a) = -3*m(a) + 2*q(a). Let k = 54 + -51. Calculate y(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -530*j + 537*j - 21 = 0. Let i be -2 + ((-2)\/1 - -9). Sort i, j, -3 in decreasing order.\nAnswer: i, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 240755\/6 equal to 40126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 5 = 3*k + 4*o, -1 = -o. Calculate the common denominator of 10\/16 + 9\/27 and 3120\/192 + (k - -4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 682*j - 2427*j - 2338*j - 2241*j to the form t*j + k and give t.\nAnswer: -6324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26 + 26 - 31 + 97515*h**2 - 97514*h**2.\nAnswer: h**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -64715 divided by -5?\nAnswer: 12943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1*-2)\/(13*1). Let z = -1347.09 - -1354.09. Which is the third smallest value?  (a) -4  (b) z  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 10, -1\/11, 2388?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1940*f - 29*f**3 + 29*f**3 - 156*f**4 wrt f.\nAnswer: -1872*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i - u = 35, -253894*u + 253890*u = 3*i - 50 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 8 = 12. Let s(b) = -b**3 - 7*b**2 + 31*b + 4. Let o be s(v). Let t(f) = -f - 7. Calculate t(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/(-14) + (-9)\/21. Let j(d) = -d - 5. Let q be j(-6). Which is the second smallest value?  (a) q  (b) g  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -25 - (112 + -110) - -9?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1805 - 3533\/2. Find the common denominator of -1 + ((-2)\/5 - (-358)\/495) and d.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 0.095, -4\/7, -0.2, -1\/3?\nAnswer: 0.095","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 253.3382 rounded to 1 dp?\nAnswer: 253.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -8*(10\/(-4) + 2). Suppose 4*u + 3*d + 6 = 1, -8 = g*u + 4*d. Let n(h) = -15*h**2 - h + 1. Determine n(u).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*t**3 + 31365114*t**2 - 62730237*t + 31365120.\nAnswer: 3*(t - 1)**2*(t + 10455040)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -93*h + 3259. Determine t(35).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 34*o + 139. Let g = 2\/191 - -947\/764. Let n = 0 - 0.4. Which is the third smallest value?  (a) o  (b) g  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 397037?\nAnswer: 397037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: ((-96)\/42)\/(-4)*(606\/(-132))\/(-101)\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - (-8)\/(-2)*-2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.2 + -0.06. Let j = 0.04 - h. Which is the biggest value?  (a) j  (b) -2  (c) 0.4  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 25 + -31.5. Let a = -1.3 + -4.7. Let h = a - o. Sort h, 4, -0.1 in descending order.\nAnswer: 4, h, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -6, -20, -42, -72, -110, -156, -210?\n\"Answer: -4*d**2 - 2*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -704\/7 + 1891\/14. Calculate the common denominator of j and -47\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-18)*(-30)\/30.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, j: 1, s: 1, q: 2, z: 2, t: 1}. What is prob of picking 1 q, 1 g, and 1 t?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 2*x. Let t(y) = -y + 7. Let o be t(10). Let w be 52 + 6 + o + -4. Let c(g) = -6*g**2 - 51*g + w*g. Calculate n(c(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the second derivative of -8*j**6\/15 + 3*j**5\/5 + j**4\/3 - 17*j. Find m such that b(m) = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*o**2 - 3*o**2 - o**2)*(-6*o + 6*o + 2*o**2) in the form y + f*o**3 + l*o + q*o**2 + c*o**4 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60*u**2 + 58*u**2 - 177*u**2 + 58*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2106\/291681 - 152360\/1385?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**2 + 3*x + 25. Let l be g(6). Let h(c) = -c**2 + 9*c - 2. Calculate the remainder when (1 - 1) + 102\/3 is divided by h(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - -4 - (4 + 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p + 34 = 2*i, i - 27 = -5*p + 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**2 + n - 1. Let g(r) = -10*r**2 + 5*r - 5. Let d(c) = -g(c) + 5*t(c). Let k(z) = -z**2. Give d(k(b)).\nAnswer: 5*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 128\/2112*3*(-22)\/(-72).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5309123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 620 = -4*m, 5*m = -v + m + 212. Let d = 1834\/9 - v. What is the smallest value in -2\/17, 0.18, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2093 divided by 1946.\nAnswer: -299\/278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**2 + 16760*m - 16762.\nAnswer: 2*(m - 1)*(m + 8381)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -23*n**3 - 10*n**2 - 40*n. What are the prime factors of v(-3)?\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 428 or 0?\nAnswer: 428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yys when three letters picked without replacement from yyysyssysy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -32*j - 570*j + 15050 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1881 (base 13) to base 15.\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q + 1. Let y(o) = -3*o + 3. Let a(t) = 2*g(t) - y(t). What is the remainder when a(5) is divided by -1*1 - (-2 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1461 (base 8) in base 6?\nAnswer: 3441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1278 = 29*p - 462. Solve 0 = -51*y + 111 - p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -2*r**2 - 22. Let a(z) = -2*z. Determine a(i(d)).\nAnswer: 4*d**2 + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -8, -14, -512 in decreasing order.\nAnswer: -5, -8, -14, -512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000984075 to 7 decimal places.\nAnswer: -0.0000984","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 2*x)*(8*x**4 + x**4 - 2*x**4) + (11 + 170 - 43)*(3*x**5 + x**5 - 5*x**5).\nAnswer: -124*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26651*y**3 - 26371*y**3 + 81283*y**3 - 26976*y**3.\nAnswer: 1285*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -193 by 30.\nAnswer: -193\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2\/(-4) - -1)*-10. Let k = 3 + c. Is 32 + (-1 - k)\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 3*d + 23 + 4 = 0, -d - 4 = -3*a. Suppose 0 = 10*l - a*l - 154. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 + (5 + 0 - -4) + -7 + 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {f: 2, k: 7}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + (2*(sqrt(1331) + 1) - (sqrt(1331) - sqrt(1331)*-2)*-4))*3)**2.\nAnswer: -2772*sqrt(11) + 2347893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 250540134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4833, -22930, -53097, -95340, -149665?\nAnswer: -216078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that w**2\/2 + 37*w\/2 + 93 = 0.\nAnswer: -31, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 6 = -2*n, p - 7 = -3*n - 12. Which is the third biggest value?  (a) -0.1  (b) p  (c) 2\/15  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -2*w + 87. Let j = w + -379\/9. What is the closest to 1 in j, 2\/5, -21?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u**3 - 13*u**2 - u - 9. Give x(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1516 + -1515. Are s and -862 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -54*p + 0*p + 41*p - 267. Calculate h(-20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2976118572+-4\nAnswer: 2976118568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 3615 = 4*t + t, 4*y - 4*t + 14388 = 0. Round y to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 136\/(-17)*(0 + 1\/(-2)). Which is greater: d or -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*i - 9*i - 4*a - 16 = 0, -18 = 2*i + 5*a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes before 10:08 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*k**3 + 8*k**3 + 2*k**2 - 2*k**2.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 5, g: 1, m: 1, p: 3}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 12*c + 9*c - 109*c**4 + 32*c**4 - 49*c**2 - 21*c wrt c.\nAnswer: -1848*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/(-75)*(-10)\/(-4).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 76746236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 3777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, x: 1}. What is prob of sequence ix?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-7)\/(p*(p*p**(15\/4))\/p))\/(((p*(p\/p**(17\/2))\/p)\/p)\/(((p*p**(7\/6))\/p)\/p)) assuming p is positive.\nAnswer: p**(-37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*o - 13*o + 2150 = 7*o. Calculate the greatest common divisor of o and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 4, w: 2}. Give prob of picking 3 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 0.635335 micrometers?\nAnswer: 0.000635335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52 = 5*y - 13. Let v(r) = -2*r + 2 + y*r - 2. Let g(h) = -5 - 25 + 30 + 2*h. Determine g(v(l)).\nAnswer: 22*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*o - d = 53, 0 = 47*o - 91*o + 40*o + 17*d - 56 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -61872183*a**4*r**3 + 21022880*r**3 with respect to a.\nAnswer: -247488732*a**3*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 477092\/3098*(-2)\/14?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from grmdgmrdmrmgdr. Give prob of picking 1 r and 3 m.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17, -65, -147, -263, -413, -597?\nAnswer: -815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -v**2 - 132650330*v - 4399027512277225 = 0. Calculate v.\nAnswer: -66325165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 2*s - 115 = 0, -k + 0*s + 53 = 3*s. What are the prime factors of k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 164\/3 + -14915\/273. Is 1 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.061 + -1.061. Let x be ((-2 - 2)\/2)\/(-1). Which is the smallest value?  (a) x  (b) r  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*b**2 + 3*b**2 - b**2 - 5*b**2 + b**2 + 2*b**2 + (-b + 0*b + 0*b)*(2*b + 2*b - 2*b) + 4*b**2 + 7*b**2 - 4*b**2.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 3848, 3849, 3850, 3851, 3852?\n\"Answer: w + 3847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42850*z**2 - z - 32 + 9 + 24.\nAnswer: -42850*z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -151 - -431ba?\nAnswer: 43069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*b**3 + 133*b**2 - 787 - 133*b**2 + 3*b**3 - 1220.\nAnswer: -2*b**3 - 2007","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/2 of a day in minutes?\nAnswer: 36720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = 5*b + 1203 + 1122, 16 = -4*b. Suppose -165 = 8*n - p. List the prime factors of n.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -7*s**2 + 78*s - 7. Let b be p(11). Suppose 3*v = -b*g + 3052, 0*v - 2*v = -2*g + 1540. Is 18 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.46 + 0.5. Let w = -1.04 + p. Is w >= 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/13, -1, 1\/4, -1\/5.\nAnswer: -1, -1\/5, 2\/13, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 4*a + 52. Let n be q(-13). Let r be -5*(1 - n) + 5. Solve 6*y - 2*y - 4 = r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/5?  (a) 3\/20  (b) 0.2  (c) 14  (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 17580314?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 180*k - 31 + 180*k - k**3 to r*k + d + b*k**3 + i*k**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15480 divided by -430.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 44 + -47. Let m = -4.6 + 5. Sort 4, m, l in increasing order.\nAnswer: l, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4260.01 + 4260. Let l be (6\/(-21))\/((-1)\/7). What is the fourth biggest value in 7, 3, f, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l**3 + 22*l**2 + 51*l. Let n be h(24). Suppose 0*t = -12*t - n. Which is the biggest value?  (a) 2  (b) t  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.008906 rounded to 4 dps?\nAnswer: 0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/5)\/((12\/(-100))\/((-32)\/(-240))).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/(16\/4 + -8) + 4. Solve a*z - z = 3*n, 2*z - 4 = n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 2 + 0 + 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + 4*n = 264. Suppose 11*y - 88 = 7*y - 4*a, -10*a = 4*y - 76. What is the least common multiple of n and y?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*k + 316 - 322 = 6*k + 9*o, 3*k - 4*o = 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w. Let x = 5 - 5. Let r(s) = s + x*s - 6*s - 5*s. Give n(r(q)).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*h**4 - 27*h**2 + 12*h + 36.\nAnswer: 3*(h - 2)**2*(h + 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrehxcwrhxcwhrh. Give prob of sequence er.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 12 = -3*k, -3*k - 2*t - 9 = 2*t. Suppose -5*q = -2*b - 3*b - 470, 4*q = 5*b + 380. What is the least common multiple of q and k?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -807.13 - -802. Let v = -2.97 + 2.8. Let n = h + v. Round n to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 289*z**3 + 5 - 1 + 291*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -23516 - -517259\/22. Let d = -6928 - -207809\/30. Find the common denominator of d and x.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 2 + (-108)\/57 + 95697\/14136 and -67\/2387?\nAnswer: 19096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:56 PM and 2:45 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 809037 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the first derivative of a**6\/3060 - a**5\/255 + a**4\/68 + 19*a**3\/3 - 25. Let s(d) be the third derivative of j(d). Let s(y) = 0. Calculate y.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/(-9))\/((-770)\/44 + 20).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y - 2. Let f be (-2)\/3 + (-14)\/6. Calculate the lowest common multiple of (-5)\/((-2)\/(4 - 2)) and p(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express q**3 + 1458*q + 195 - 1449*q - 176 + (0*q + 4*q - 3*q + (3 + 4 - 5)*(0*q - q - 4*q))*(3*q**2 - 2*q**2 + 2*q**2) as y*q**2 + d*q**3 + k + w*q and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-924)\/22)\/504)\/(((-165)\/(-352))\/((-6)\/(-8))).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -271509, -271511, -271513?\nAnswer: -271515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w = 3*l + 5*w + 20, -3*w - 3 = 0. Suppose -n = -4*r + 8, 2*n + 1 = -4*r + 9*r. Let j = n + l. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 60.2 - 60. Let k be 1\/(2\/(-4)) - -1. Which is the nearest to n?  (a) 2  (b) k  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 minutes after 1:20 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 164 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 2*s**2 - 19*s - 6. Let f be b(10). Suppose -f*o = -p - 16, 4*p - 4*o + 1 = -15. Do -2\/19 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2018955 is divided by 8665?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 24764 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l - 3*l**2 + l**2 + l + 2*l.\nAnswer: -2*l*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(114) + 2*2*sqrt(114))\/(sqrt(726)*1) + -4.\nAnswer: -4 + 5*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by 75770355.\nAnswer: -4\/75770355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(6912) + 3)*-4 - (sqrt(48) + (3*sqrt(192))\/sqrt(4) - sqrt(432)*-2))**2.\nAnswer: 5568*sqrt(3) + 161616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z**4 - 116*z**3 + 301*z**2 + 436*z. Let p(s) = -2*s**4 - 116*s**3 + 302*s**2 + 440*s. Let d(m) = -6*a(m) + 5*p(m). Factor d(o).\nAnswer: -4*o*(o - 26)*(o - 4)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 + 2 + 0)*(1362\/(-2270))\/((-15)\/725).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jmzcnjw. What is prob of picking 1 z and 1 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 174192 and 261288.\nAnswer: 522576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -103 + 109 - (-5 + (-97)\/(-9))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = -l - 78 + 7, 0 = 8*l - 40. Solve -35*k + 3 = -g*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 161*j**2 - 2*j. Let m be ((-1)\/(-3) - 1)\/(12\/18). Is s(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29220.\nAnswer: 2, 3, 5, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = -m + 5*m. Let n = 13 + -6. Suppose 3*w = n + 38. What is the greatest common factor of w and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -12.57000631 + 12.57. Round b to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 608 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 f when two letters picked without replacement from jjjaqfajiiqh.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 32472 and 363.\nAnswer: 357192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3158 - 1259. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 times 29637\nAnswer: -14818.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -458*n**3 + n**2 + 2*n + 1. Let w be v(-1). Let d = w + -748. Calculate the common denominator of -91\/2 and d\/12 - (2 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1.4 + 7.6. Let j = -22 + a. Let f = -18 - j. Put f, -5\/6, -0.4 in decreasing order.\nAnswer: -0.4, -5\/6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-8)\/(-3) - 11\/(198\/12). Solve -i + h*i = -5*s + 20, -3*s = -3*i - 30 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -385380*r**2*z**3 - 2*r**2*z - 27417*r + 2*z**3 + 15*z wrt r?\nAnswer: -770760*z**3 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(((sqrt(245) + 2)*1 - sqrt(245)) + sqrt(245)*-1 + 2 + -1) + 4)**2.\nAnswer: -1848*sqrt(5) + 9304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 4, u: 5, i: 1, m: 5}. Give prob of picking 1 m and 1 u.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3\/((-144)\/(-40)))\/(6 + -1). Which is the third biggest value?  (a) 3  (b) 542  (c) g  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -87\/118 and -39\/4543.\nAnswer: 9086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -2*t + 5509, -10379 = -4*t - 3*p + 600. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 35*b**3 - 15*b**3 - 21*b**3 - 110*b + 0 + 57*b**2.\nAnswer: -b*(b - 55)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in 348, -2, -10.9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -3*f**2 + 2*f - 4. Let y(s) = -9*s**2 + 6*s - 11. Let o(t) = 8*x(t) - 3*y(t). Let l be o(1). Suppose -l*a + 228 = 2*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2706955?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (533*r**4 + 8523*r**2 - 8523*r**2)*(1 + 1 + 0) + r**4 + r**4 - r**4 to s*r + u*r**4 + d*r**2 + h + w*r**3 and give u.\nAnswer: 1067","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y**3 - 2*y**3 - y**3)*(y**2 - 11 + 11) + (2*y**3 + 3*y**2 - 3*y**2)*(3*y**2 - 5*y**2 + 3*y**2) + (4*y**2 - 5*y**2 - y**2)*(-1 + 2*y**3 + 1).\nAnswer: -3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**3 - 3*m**2 - 6*m + 1. Suppose 4*y = 5*y - 4. Let j(r) = -2*r**3 + 2*r**2 + r**3 + 0*r**3 + r + y. Let u be j(0). Determine c(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 74*d**2 + 166*d + 81956.\nAnswer: 148*d + 166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1012122100010 + 20?\nAnswer: 1012122100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2d2 - 2856?\nAnswer: -2564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 16.6 - 12.6. What is the nearest to -1 in 13\/3, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 29406, -3, 1, 109, -5 in descending order.\nAnswer: 29406, 109, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6 + -11. Suppose -2*t + 0*t + 10 = -2*l, l = -t + 3. Let o be 2\/t*(4 + 0). Sort g, -1, o in decreasing order.\nAnswer: o, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22786682 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -27634 divided by 337\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 69*y + 193*y**2 - 69*y as s + x*y**2 + g*y and give x.\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 15*j + 14*j**4 - 19*j**4 + 6*j**4 + 7*j**4 + 9*j wrt j.\nAnswer: 96*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times 235\nAnswer: 70.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -44206 - 23.15.\nAnswer: -44229.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 36*z - 31*z. What is the smallest value in z, -1, -29\/7?\nAnswer: -29\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -q + 22, -5*q - 3*t = 2*t - 90. Is 8724\/q + 4\/5 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1680840 divided by 45?\nAnswer: -37352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -99*c + 1 - 69*c - 1 to l + z*c and give z.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.136973t in kilograms?\nAnswer: 5136.973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9 - -6. What is the third smallest value in -1\/2, u, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d - 9. Let v be k(5). Let b be v\/10 - (1 + (-6)\/15). Let r(i) be the second derivative of i**4\/6 + i**3\/6 - i**2 - i. Calculate r(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = s - 48. Let g = -7 + s. Suppose -1 + 23 = -2*l - 4*u, -g = -2*l + 5*u. Which is greater: l or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*n - 13*n + 100 = 0. Let y(g) = 0*g**3 + 4 + 386*g**2 - 388*g**2 + g**3 - n*g. Suppose 0 = 3*a - p - 7, -3*p - 2*p + 4 = -2*a. Determine y(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = 196788 - 21788. What is u rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 97 is divided by 62\/(-8)*-4 - (-6)\/(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3513*-3\nAnswer: 1.0539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2\/42433 + -212181\/339464. Sort -0.1, 2, 1, h.\nAnswer: h, -0.1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 5*l**3 + l. Let u be x(1). Let w(t) = 5*t - 20. Let n be w(u). Solve 4*d + 6 + n = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 994631 and 4180.\nAnswer: 19892620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 153 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -188667*a**3 + 11*a**2 - 11*a**2 + 190220*a**3.\nAnswer: 1553*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -755*m + 89827. What is o(119)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 3*h**2 + 450*h = 0.\nAnswer: -150, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 18846, 36019, 53192, 70365, 87538, 104711?\n\"Answer: 17173*c + 1673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f**3 + 0*f**2 + 0*f**2)*(2*f**2 - f**2 - 3*f**2) - 25*f**4 - 6*f**5 + 25*f**4 + 2*f**5 + 2*f**5 - 2 - 2*f**5.\nAnswer: -6*f**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 24*p**3 + 4*p**2 + 2*p - 1. Let q be l(-1). Let b = 48 + q. Let x = b - 21. Solve 0 = -x*j + j + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -1*(1 + 1 + -1 + sqrt(1088) + (2*((sqrt(1088) - (sqrt(1088) + -2)) + 4))**2).\nAnswer: -145 - 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*i + 14*i + 3*o - 336 = 0, -2*i + 717 = -3*o. What is the greatest common divisor of i and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:43 AM and 4:47 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21202 (base 3) to base 10.\nAnswer: -209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 36, 47, 4, 5 in descending order.\nAnswer: 47, 36, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u = -5*u + 40. Solve 0 = -5*r - 33 + u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 1353 = 3*q + 430, -612 = -2*q - 4*m. Suppose 0 = -5*h - 306 + q. Solve 1 = 3*d - x + 2, -3*d - h*x = -11 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 4*w = -4*j - 14, 4*j = -4*w - 16. Let q(p) = -2*p - 9. What is q(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (14\/8)\/(1\/(-4)). Let f(b) = -b**2 - 6*b + 8. Let p(r) = 5*r**2 + 64*r - 12. Calculate the remainder when p(-13) is divided by f(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = o - 42 + 11, -r + o = 11. Let q(a) = -a**3 - 10*a**2 + 4. Let z be q(r). What is the second derivative of 6*l**z + 37*l - 31*l + l**4 wrt l?\nAnswer: 84*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in -4, 1\/332, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 127 divide 36919036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 1 - 4)*(-5*p + 3*p + p) + 2*p + 0*p - 4*p + 323*p + 32 - 675*p + 338*p.\nAnswer: -15*p + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(2\/15)*f)\/f*f)\/f*(f\/(f\/(f**15\/f)))\/f*(f**(2\/9))**11 assuming f is positive.\nAnswer: f**(701\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = g - 20. Let k(w) = -2*w**2 + 3*w**2 + 4 - g. Let c(u) = -1. Let l(a) = 4*c(a) - k(a). Find the first derivative of l(n) wrt n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/(-36) + 32\/144?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (6 - -3) + (1 - -1). Let c = 27 - 23. Suppose -5*x + 4*p + c = 0, 5*p = -x - 4*x + 40. Solve x + r = 5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(400) - 6*(5*sqrt(400) + sqrt(400)))*4)\/(-5*(sqrt(162) + sqrt(162) + -4*4*sqrt(162))))**2.\nAnswer: 800\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/8, -16, 0.11, 1, -472 in ascending order.\nAnswer: -472, -16, -1\/8, 0.11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that -4*p**3 + 7464*p**2 + 7468*p = 0.\nAnswer: -1, 0, 1867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -2, -478, 9, 4 in descending order.\nAnswer: 9, 4, 2, -2, -478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -34906\/423 - 879\/47. Let r = -101 - m. Which is the nearest to -0.1?  (a) -5  (b) r  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.6, -1\/2, 0.5, 5\/2, 3 in decreasing order.\nAnswer: 3, 5\/2, 0.5, -1\/2, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.1  (b) 0.4  (c) -174  (d) 0.38  (e) 17\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 14242 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -889*w**4 + 187*w**2?\nAnswer: -21336*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + h - 803 = 0, j - h + 36 = 199. Let f = 297 - 203. Suppose 5*s - j = -l, -3*s + 4*l = 2*l - f. Calculate the greatest common factor of 32 and s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 - -10. Suppose 2*y - n*a = 2, y + 3*y - 2*a = 4. Let o be (16\/(-4))\/(-2) + y. Solve -b - 8 = -o*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/284 and 81\/41228422?\nAnswer: 82456844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 159.8 and -5.\nAnswer: -799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 7*s**2 - 431*s - 5380. Let d(h) = -44*h**2 + 2586*h + 32285. Let u(i) = -6*d(i) - 37*l(i). Differentiate u(y) with respect to y.\nAnswer: 10*y + 431","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*y = 12*y - 2*c + 20, 3*y - 14 = -4*c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u - 5*k - 4, -3*u = 2*k - 3*k + 44. Let q = -8 - u. Suppose -y + 9 + q = 0. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 1 + p**2)*(-5 + 7 + p - 4) to c + v*p + f*p**3 + l*p**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 5, a: 3, m: 4}. What is prob of sequence llla?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -152\/21 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 0*r + 13 = 5*p, -6 = -2*p. Let h = 127.4 - 14.2. Let i = -113 + h. Which is the nearest to -2\/7?  (a) i  (b) r  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/4*(-76)\/266\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add 0 and -24.94169.\nAnswer: -24.94169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from ooozoooozozzooozooo.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**2 - 12*m - 14. Let q be w(-10). Find c, given that -11*c**4 + 3*c**3 + q*c**4 - 3*c**2 + c + 4*c**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39330?\nAnswer: 2, 3, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 7, w: 5}. Give prob of sequence wwwp.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -4*p**3 + 3*p**2 + p - 4. Let s be k(4). Let x = s - -205. Let q(m) = 15*m + 12. Let l(a) = -10*a - 8. Let o(w) = -7*l(w) - 5*q(w). Give o(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-17)*a*a**(-45))**(-2\/75))**46 assuming a is positive.\nAnswer: a**(5612\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 124242449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is f in 2*f**5 + 40*f**4 + 152*f**3 - 480*f**2 = 0?\nAnswer: -12, -10, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 27 - 15. Let r(l) = 4*l**2 + 4*l - 4. Let b be r(-4). Suppose 0 = -3*k + b - 2. Calculate the lowest common multiple of k and m.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-200*v + 4*v + 37*v)*(2*v**3 + 0*v**2 + 0*v**2) - 2*v**4 + 3*v**4 + 0*v**4 to h*v**4 + x*v**2 + m*v**3 + p*v + z and give h.\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1088) - (2 + sqrt(1088) + sqrt(1088))) + sqrt(1088))**2*3*5.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*m - 41*m - 12 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1595 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (35\/(-4) - -8)\/((-6)\/(-80)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 + 60667?\nAnswer: 60665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -2*r**2 + 4*r**2 + 5 - 7*r**2 - 3*r - 4*r. Let u(a) = 4*a**2 + 6*a - 4. Let n(y) = 5*c(y) + 6*u(y). Determine n(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a - c - 70, -3*a - 2*a + c - 92 = 0. Let f(q) = -q**2 - 47*q - 22. What is the hundreds digit of f(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/63?  (a) -2  (b) -5  (c) 1  (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -7332*g + 80744. What is u(11)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.648526 - 0.59398. What is o rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 3*x**2 - 2. Calculate d(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 3*j**2 - 50*j - 2 + 83*j to h + v*j + u*j**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -137 - -275. Let g = i - 137.9999814. Round g to 6 dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 22*i**3 + 5*i**2 + 2*i - 22. Let s(o) = 48*o**3 + 11*o**2 + 5*o - 44. What is 9*d(x) - 4*s(x)?\nAnswer: 6*x**3 + x**2 - 2*x - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does -59945 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**(-7\/2))**32 assuming l is positive.\nAnswer: l**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - (-5 - -6) - -7) + 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 341734402.\nAnswer: 2, 109, 1567589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (21\/(-6) - -2)*-66. Suppose 0*c - q = -3*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**2 - 11*i + 4. Let p be m(-7). Let w be (p\/48)\/((-4)\/(-30)). Suppose -w*u = -2*u - 1227. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 17 - 12. Suppose -b = -i*b. Sort b, -2, -5 in descending order.\nAnswer: b, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -74\/3 and 15\/214?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -s - 241, 2*i = -0*i - 5*s + 138. Let o(a) = -2*a - 163 + 84 + i. Let g(f) = -24*f. Determine o(g(x)).\nAnswer: 48*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 169 - 168.96. Which is the closest to 1?  (a) g  (b) 4  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5115.\nAnswer: 3, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oaggogagaa. What is prob of picking 1 o and 1 g?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a - 7. Let u be p(-6). Let o be u + 7*(4 + 1). Let k = o + -18. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3321*r**2 + r - 1243*r**2 - 1463*r**2 in the form j + f*r + q*r**2 and give q.\nAnswer: 615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -553 divided by -32577.\nAnswer: 553\/32577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q - 0 - 2. Suppose 2*d - 30 = -4*z, 3*d = q + 1. Suppose -2*w + z*w - 57 = -4*i, -21 = -i + w. What is the lowest common multiple of 8 and i?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*p + 6 - 71 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (5 - -1)\/((-3)\/(-2)) + -1. Solve f*s = -0 + 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -893, -909, -937, -983, -1053, -1153, -1289?\nAnswer: -1467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12001001000 + -12?\nAnswer: 12001000211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37 = 3*u + 30*o - 34*o, 2*o = 3*u + 29 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1231 + -3?\nAnswer: -1234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25*1*(-271584)\/84870.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -116 - 7?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2660 is divided by 62?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g - 8*m - 42 = -11*m, -2*g - 4*m = -16. Let t(b) = 5*b**2 - 2*b - 7. Give t(g).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.0143 and -3425.\nAnswer: -48.9775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 51989, 103988, 155991, 207998, 260009, 312024?\n\"Answer: 2*u**2 + 51993*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the second derivative of 0 + 0*h**3 + 3\/20*h**5 + 1\/6*h**4 + h + 0*h**2. What is the third derivative of t(k) wrt k?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13 (base 11) to base 8\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1726 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15\/((-3955)\/16272*8).\nAnswer: -54\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8498 + -3355. Calculate the highest common divisor of o and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**2 + 15*w + 8. Determine l(6).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-1 + 1 - -17605)*(-74)\/(-185).\nAnswer: 2, 7, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -1096*k + 36. Let o be x(-8). Suppose -14*y + 6330 = -o. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -722, -1343, -1988, -2669, -3398, -4187, -5048?\n\"Answer: -2*o**3 - 607*o - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/50, -3\/5, 2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 113663370 divided by 15?\nAnswer: 7577558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -106, -5, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9 - 69 + 177 + i)*(2 - 2 + 2*i).\nAnswer: 2*i**2 + 234*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 take away 3.14332065?\nAnswer: 7.85667935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14152733?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 466\/105 - 32\/7. Is 1 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 242 + 253 - 1486*u - 495 in the form s*u + d and give s.\nAnswer: -1486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -8246 and 0.04?\nAnswer: 8246.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20)\/3 + 2*9\/(-2340)*13*-110?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.018 + -162.018. Let c = f + 162.0416. What is c rounded to three decimal places?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 1242*g - 4. Let x(f) = 2*f**2. What is v(x(i))?\nAnswer: 2484*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -581*g**2 + 18*g + 1092. Let c(z) = 1163*z**2 - 40*z - 2183. Let q(a) = -5*c(a) - 11*j(a). What is the first derivative of q(n) wrt n?\nAnswer: 1152*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (1\/(-2))\/((-2)\/264) is divided by (-747)\/(-39) + 52\/(-338).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-468)\/(-273)*(-7)\/2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1302484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-64)\/(-2) + -2 + 0. Let w = -15 + s. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 91546181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -2631*f - 144. Let h be s(-24). Round h to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 30 and 2129630?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21971.\nAnswer: 127, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1246.\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -79513*i**2 - 27648*i - 2 wrt i.\nAnswer: -159026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 321740 is divided by 1375.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-521*a**2 + 235*a**2 + 292*a**2 - 75*a**3)*(-a - 3 + 5 - 4) in the form x*a**2 + q*a**4 + p*a + l + o*a**3 and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: What is next in 5638, 5680, 5782, 5974, 6286, 6748, 7390, 8242?\nAnswer: 9334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3039 = -b - g + 3033, 12*b = -5*g - 65 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**3\/5 - 1707136*p**2\/5 + 364290872442*p\/5 - 728574916356\/5.\nAnswer: 2*(p - 426783)**2*(p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -136*a + 4 = -4*z - 134*a, 0 = -5*a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 20121667 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*d = -3*d - 60. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -40679, -40683, -40687, -40691?\nAnswer: -40695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -s**4 - 493061*s**3 + 155172*s**2?\nAnswer: -24*s - 2958366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 36.53838 months to decades.\nAnswer: 0.3044865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.6 - 3.8. Let g = 3.004 + n. Let b = -1.174 + g. What is b rounded to one dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-4))**(-8\/7))**(-2\/9)\/(m\/(m*m**3\/m)*m**13)**(3\/5) assuming m is positive.\nAnswer: m**(-2399\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 1 = 3. Put 5, 4, c in increasing order.\nAnswer: c, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 339\/4 + -85. Which is the closest to -2?  (a) o  (b) -1\/6  (c) -5  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -89 = -3*v + 19. Suppose 3*r + v = 6*r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -1 + 1 - (19 + (7 - 16))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -758*k - 28 - 967*k + 28 in the form p*k + q and give p.\nAnswer: -1725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -150*b - 1217. List the prime factors of a(-40).\nAnswer: 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.1 + -0.1. Let c = -23 - -16. Let z = c + 7.1. What is the nearest to l in z, -5, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10)\/12*8\/(-120)*-3.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.6 - 1.4. Let i = 66.71 - 67. Let n = i + -0.11. Which is the nearest to 1?  (a) -3\/8  (b) l  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*i**3 - 5300*i**2 + 5256192*i - 1019069712.\nAnswer: -4*(i - 354)**2*(i + 2033)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/15 of a minute in seconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*c**2 - 68*c + 208 = 0. Calculate c.\nAnswer: 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 358 by 1948291.\nAnswer: 358\/1948291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -30.0896 + 30.2. Let m = -0.1104903 + i. Round m to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4123.431 rounded to the nearest 100?\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 101681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8.36 - 10. Let q = z + 2.1. What is q rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1416 or 29716\/21?\nAnswer: 1416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 96*c + 8*c + 0*c + 2*c**3 + 23*c.\nAnswer: 2*c**3 + 127*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9181327 by -2.\nAnswer: 9181327\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1518*z - 185*z + 5*z.\nAnswer: 1338*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 4648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-26))\/(5024\/(-64) + 79)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -77\/494386 and 5\/988772.\nAnswer: 988772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 11*k**2. Let u(f) be the third derivative of -f**5\/30 + 9*f**2. Determine u(y(r)).\nAnswer: -242*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 8*g**2*v**3 - 84*g**2 - g*v - 8*g + 596*v**3 + 2*v + 50 wrt g?\nAnswer: 16*g*v**3 - 168*g - v - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -367873, -2940355, -9922801, -23520193, -45937513, -79379743, -126051865, -188158861?\nAnswer: -267905713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -173 = 45*f + 97 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the third derivative of 7*a**2 + 0 + 1\/56*a**8 + 0*a - 2\/3*a**3 - 1\/5*a**5 + 1\/15*a**6 - 7\/12*a**4 + 8\/105*a**7. Let h(v) = 0. What is v?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q**2 + q - 39. Let b be n(6). Solve 5*v = -8 + b for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by -4174519.\nAnswer: 4\/4174519","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Multiply 3 and 38.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 - 790346a?\nAnswer: -7903466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 32153 + 2820. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-111)\/30*(-24)\/64 - 2 and -79\/90?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26290, 26288, 26286, 26284, 26282?\nAnswer: 26280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xpxp when four letters picked without replacement from {x: 3, p: 17}.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -25, -76, -205, -448, -841?\n\"Answer: -6*c**3 - 3*c**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eaaedemwatdtaeea. Give prob of picking 2 e and 1 t.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m. Let b be (3 - 2\/2) + 4. Let r be 15\/b + (-2)\/4. Let c(v) = -2*v**2 - 2 + r. Calculate c(t(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -11733598*m**3 + 74063*m**2 - 4*m - 4 wrt m?\nAnswer: -70401588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s, 5*v + 23 - 3 = 4*s. Let j be (-18 + 6)\/6 - v. Solve 12 = 2*q - 0*q + 2*r, -j*q - 8 = -3*r for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 110 and 0.45484469.\nAnswer: 110.45484469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes before 5:40 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x\/(x*x**(1\/4)))**36 assuming x is positive.\nAnswer: x**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - p - 34 = 0, -42 = -4*s - 2*p + 34. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 41256125 (base 7) to base 8.\nAnswer: 15144756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7120115 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 - 32629.6.\nAnswer: -32628.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -94\/3 + 32. Is 1\/4 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71*k + 217*k - 1308277 = 59*k. Which is greater: k or 5712?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -11*o**2. Let c(h) be the first derivative of 2*h**3\/3 - 2. Give t(c(u)).\nAnswer: -44*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t - 1. Let v be p(2). Let g = -44416\/53 + 838. Is v bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/4)\/(-2 + -3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -211 - -1573. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 + 2. Let t be 93 + o + 1 - 3. Let f = t - 65. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the second derivative of -v**8\/23520 - v**7\/4410 + v**6\/630 + 2*v**5\/105 + 13*v**4\/12 + 8*v. Let l(q) be the third derivative of c(q). Factor l(x).\nAnswer: -2*(x - 2)*(x + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 4 = 3*t - 1, 0 = 3*a - 2*t - 8. Suppose 2*i - c + 9576 = -74426, -83996 = a*i + 2*c. What is i rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -34 divided by 5?\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.07 + 9.07. Let p = q + -2. Let x = 12 - p. What is the second biggest value in -0.5, x, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 950836?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5065 and 16644603?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2935 - 2934. Let l(a) = -4*a - 6. Let h(v) = -6*v**3 + 2*v**2 - 1. Let i be h(1). Let j be l(i). Solve 4*p = 2*y - j, -c = 2*p + y - 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 4 = 36. Suppose c + a = v - 0*c, 2*v - 3*c = 21. Find the common denominator of (-163)\/48 - v\/(-9) and -89\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21238126.\nAnswer: 2, 7, 13, 61, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 5*n, 5*v - 6*n + 2*n = 72. Let i(q) = 2*q**3 + q - 1. Let f be i(1). Solve 5*p - f*p + v = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**3 + 5*i**2 + 2*i - 3. Let j be d(-4). Suppose 18 = 3*y - 3*w, w = -0 - 4. Sort j, 3, y in ascending order.\nAnswer: y, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a = -2*w - 56, -2657479 = -5*w + 5*a - 2657619 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1332*i + 1 + 1329*i - 1.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (w - 5 + 0 + 2)*(-4*w + 3*w + 6*w) - 3*w + 6*w**2 + 3*w to the form a*w**2 + j + v*w and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (2 + -6 + 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 300\/(-24)*10\/(-225)*3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(72)\/(sqrt(18)\/sqrt(6)) + (sqrt(24) - sqrt(96)\/sqrt(4))*-2)\/((sqrt(240) + sqrt(240) + sqrt(240)*2)\/(2*sqrt(245))) + 0.\nAnswer: 7*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3102 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 43611.1 * 17\nAnswer: 741388.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**2\/2 - 15700*j + 94209\/2.\nAnswer: -(j - 3)*(j + 31403)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -10*o + 93. Let g be j(9). Suppose 5*u - 9 - 33 = g*s, 4*u - 2*s - 32 = 0. Solve -7*c - u = 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/30 and 58\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y**2 + 0*y**2 + 7*y**2)*(-95 - 86 + 15 + 13).\nAnswer: -765*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 - -18. Suppose -d*h + 8 = -11*h. Solve -2 = h*a + z + 2, 3*a = -2*z - 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 2*y**3 + 8*y**2 + 4*y + 8. Let h be p(-6). Let q be (-64)\/h - 8\/(-5). Suppose q*t - 206 = 6. What are the prime factors of t?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2\/13*x**5 + 30\/13*x**3 - 2*x**2 + 8\/13*x + 0 - 14\/13*x**4 = 0. Calculate x.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**2 - 74615*z - 596827. Determine l(-8).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the third derivative of t**5\/20 + 19*t**4\/8 - 7*t**3\/6 - 154*t**2. Is i(-23) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -60 (base 14) to base 6\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 224384529.\nAnswer: 3, 101, 131, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 378, 5, -40, 0, -7 in increasing order.\nAnswer: -40, -7, 0, 2, 5, 378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 41 - 2 - 294*y**2 + 0 + 295*y**2 - 22*y. Let g be z(20). Which is smaller: -6\/37 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*p**3 + 424*p**2 + 11084*p + 10664 = 0. What is p?\nAnswer: -62, -43, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -43034, -43040, -43046, -43052?\n\"Answer: -6*h - 43028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 661 - 337. Suppose -z*c + 1385 = -319*c. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 1 = s. Let q = -3 - s. What is the least common multiple of (-3 - (0 - 4))*q and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/(-30) - 17\/15 - -7. Suppose -5*q + 151 - 1 = 0. Calculate the greatest common factor of q and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -6*10\/(-4)*-1. Let o(p) = -p**2 - 15*p + 17. What is the remainder when 151 is divided by o(g)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -257.3870757 take away 15.4?\nAnswer: -272.7870757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13\/1974 and -19\/5922.\nAnswer: 5922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6786 and 455483106.\nAnswer: 6786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -2*z + 3 - 4 + 4. Let u(k) = -414 + 13*k - 4*k + 261. Let q be u(16). What is f(q)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.11 + 0.109964. What is r rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18423 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (16\/20)\/((-2)\/(-15)). Let b = 2 - 0. Suppose -b*d = -3*d + k. What is the least common multiple of 20 and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -76 + 763\/10. Which is bigger: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -14b9928 - 0?\nAnswer: -14b9928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1 - (-10)\/6)\/((-18)\/(-81)). Solve k*o = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the first derivative of 0*x + 5 - 3\/20*x**5 - x**2 - 1\/8*x**4 + x**3 + 1\/24*x**6. Find v such that c(v) = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6 - 2. Let m(k) = 10*k**3 + k - 1. Let z be m(1). Suppose -z = y*q - 4*r + 14, -3*q = 3*r - 12. Let l(n) = -8*n**2 - 1. Give l(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 12901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 867 = 27*x + 6*x - 7053. Let t(g) = 7*g**2 + g + 2. Let p be t(3). Let q = p - 44. Calculate the highest common divisor of q and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*t - 1127938 = 1196461 - 924136. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 209 = 2*f, 0 = 3*f + g + 2*g - 318. Let x = 188 - f. What are the prime factors of x?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s + 5*u = 20, -s - 2*s + 2*u - 8 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k\/(k**(1\/2)*k*k))*k)**(2\/13))**(-11) assuming k is positive.\nAnswer: k**(-77\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 316 - 316 + 280*x**2.\nAnswer: 280*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15203?\nAnswer: 23, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.123 + -1.877. What is the nearest to 2 in 3\/4, -0.1, i?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 - (-1 - -2) - -4. Let m(p) = 2*p**2 + 11*p - 15. Let q be m(-7). Let h(s) = -s + 6. Let r be h(q). Put i, 2, r in descending order.\nAnswer: i, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 674.7715 tonnes to milligrams.\nAnswer: 674771500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 443 + -442.9. Sort u, 3\/10, 3.\nAnswer: u, 3\/10, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b - 4*n + 23 = 39, 3*n - 13 = 4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*h + 2*w - 22 - 12, 10 = h + 2*w. Let b(g) = g**3 - 5*g**2 + 2*g - 7. Let j be b(5). Solve -j*f + f = -h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t - 4*l - 9349, 4*l + 10944 = 2*t - 7734. Suppose -t = -4*f - 3*o, -f + 1438 = -4*o - 899. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -664 = -99*z - 76*z + 1786 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a**3\/5 + 44*a**2\/5 - 118*a\/5 + 76\/5 = 0. What is a?\nAnswer: 1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -21.24 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q - 1. Let a(c) = -14*c + 8. Let l(j) = j**2 + 20*j - 3. Let m be l(-20). Let n(b) = m*t(b) - a(b). Is n(11) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 70.03838ml to litres.\nAnswer: 0.07003838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -5, -6, -3, -51 in descending order.\nAnswer: 0, -3, -5, -6, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 21001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 30006 - 60011\/2. Put z, -30, -4\/5 in descending order.\nAnswer: z, -4\/5, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 4240.148911 and -2.\nAnswer: 4238.148911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 25\/392, 11, 4.9 in ascending order.\nAnswer: 25\/392, 4.9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-2)*3*1197*(-187)\/(-424116).\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10 + -14. Let k = -21 + 16.1. Let t = -0.9 - k. What is the second smallest value in 2\/11, x, t?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2229 = -10*k + 7*k. Suppose 2*y + 580 = b, 707 = -5*y + 5*b - k. Does 16 divide (-2 - (1 + 1))*y\/40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7986\/67 or -120?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5177527?\nAnswer: 31, 167017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -807*x + 802*x + 50 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2710, 2705, 2640, 2485, 2210, 1785, 1180?\nAnswer: 365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -34 + (1221 - 1160).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 to the power of 1\/4, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/26596 and -26\/11.\nAnswer: 292556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is ee6e - -2b?\nAnswer: ee9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1620*r + 2077*r + 16123 - 374732 = 0 for r.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3 + -1. Suppose -2*l - x = -3*l. Find the first derivative of 1 - 3 + l*u + 0 wrt u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + -1 + sqrt(175)*1 + -4*((-1 + sqrt(7))*-6 - 4*(sqrt(7) + sqrt(7)*2)))**2.\nAnswer: -4466*sqrt(7) + 42344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7296 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (12\/(-8))\/3*3\/(-6). What is the fourth smallest value in k, -11, -3\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*s - 35 = -75. Solve 14 = s*a + t, a - 6*a = -t - 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5213717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 23403871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -527*w**2 + 52*w**2 + w - 62*w**2 + 0*w to l + r*w + g*w**2 and give g.\nAnswer: -537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 34*k**6 - 18*k**5 + 17552*k**3 - 1344932*k**2 + 4 wrt k?\nAnswer: 4080*k**3 - 1080*k**2 + 105312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**2 + 3*q + 1. Suppose -s = 3*w - 1, 2*s + 0*w = 3*w + 20. Let i(k) = -k**2 - 4*k - 2. Let f(v) = s*l(v) + 6*i(v). What is the tens digit of f(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 2*d = 2, 5*d = -2*z - 2*z - 23 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 344355 - -21?\nAnswer: 344420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the third derivative of -16*v**7\/105 + 11*v**5\/20 + 27*v**2. Find the third derivative of g(o) wrt o.\nAnswer: -768*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3995137486.\nAnswer: 2, 19, 8317, 12641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x**2 + 31*x - 50. Let m be i(-10). Let p = m + 267. Solve -2*z = 2*f + 14, 4*z = 5*f + 10 + p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 4 - 2)*(5*n**2 + 0*n**2 - 3*n**2)*(-n + n - 2*n**3) + 2*n**5 - 4*n**5 + 3*n**5 - 2*n**5 - 5*n**5 + 4*n**5.\nAnswer: -10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1200146619?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: ((-19)\/(361\/(-19)))\/(413\/(-354))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -4*a**2 + 54. Let z(m) = 503*m. Give z(x(k)).\nAnswer: -2012*k**2 + 27162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 61 times 0.18\nAnswer: 10.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -3*n**3 + n**2 + 2*n + 5. Let h(t) = 2*t**3 - t**2 - 2*t - 4. Determine 5*c(g) + 6*h(g).\nAnswer: -3*g**3 - g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -2*m**2 - 43*m + 9. Let q(f) = -f**2 - 22*f + 4. Let u(l) = 3*k(l) - 5*q(l). Suppose -14*r - 168 - 42 = 0. Is u(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 827454*h = 827461*h + 504 for h.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 0, -2\/5, 1\/11, 21850 in increasing order.\nAnswer: -6, -2\/5, 0, 1\/11, 21850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (37\/(-74))\/(6\/(-477)*-1*(-180)\/240)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**3 - 6 - 2*f**2 + 4*f**2 - f - 2*f**3. Let l(x) = x**2 + x - 16. Let z be l(-4). What is the remainder when p(z) is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -234 + 233. Calculate the common denominator of 46\/45 and -10 + 7 - p\/(-40)*-107.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 640 divide 8101863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/5 of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**2 + 2. Let x(j) = -4*j**2 - 7. Suppose 0 = 3*f - 2*l - l - 6, 3*l = f. Suppose -r - 10 = 2*p, r - f*p = p + 14. Give r*x(i) - 7*y(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -2093854, -4187845, -6281838, -8375833, -10469830, -12563829?\n\"Answer: -c**2 - 2093988*c + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*o**2 + 6*o**2 - 4*o**2 - o**2 + o + 0*o**2.\nAnswer: 3*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -198*d - 16 = -2*b - 199*d, -53*b = -2*d - 253 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -159 = -4*z + 41. Suppose 5*k = 4*k - 3*u + 13, -3*u = 0. Calculate the remainder when z is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1614 times 11\nAnswer: 17754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/6 of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1.1, -3, -5, -2\/9, -0.8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -870723 by 41463.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 11 = 1. Let d = -4 + n. Calculate the smallest common multiple of 10 and 5 - (d - 1)\/(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = z - 5. Let i = 10 + z. Let g(s) = -2*s + 3. Let k be g(-6). Solve 5*v + i = k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 177519328?\nAnswer: 2, 7, 277, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add -121.4874 and -0.65269257.\nAnswer: -122.14009257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-1*1)\/(-1))\/((-39)\/(-78)). Solve -3*z = r + 4, -16 = l*r + 2*r + 5*z for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -5, 9, 0, -6063, 3, -11 in increasing order.\nAnswer: -6063, -11, -5, 0, 2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 1071.\nAnswer: 2\/1071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8216.9215 + -8217. Which is smaller: -10 or r?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 345*t - 691*t = -338*t - 6960. What is the smallest common multiple of 348 and t?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15*21\/315)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 24 - 14 + 4*m - 9 in the form t + p*m and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2543 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (7 - (6 + -2) - 6) + 26 - 6\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3\/2  (b) -19\/88657  (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 31*r**2 - 1129*r + 4415. What is p(32)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**4 - 104*i**3 - 1865*i**2 - 6600*i.\nAnswer: i*(i - 120)*(i + 5)*(i + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -109, -340, -571, -802, -1033?\nAnswer: -1264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -565, -3\/5, 4, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g + 5*q = 3*g - 12, -3*q = -3*g + 12. Suppose -3*n + 11 = 2*p, -g*n + 34 + 19 = -5*p. Let f = n - -8. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -161*h + 17. Let s(c) = -81*c + 8. Let n(y) = 5*s(y) - 3*t(y). Is n(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:47 PM and 4:14 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*v, 51*p - 4*v = 52*p - 29. Solve 4*i + j + p = 8*i, 3*i = -4*j + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -2, 9, 10, -7 in decreasing order.\nAnswer: 10, 9, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -120 or -2173\/18?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c = 2*j - 15, 5*j - 573 = -548 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -2*i**4\/3 + 28*i**3\/3 + 48*i**2 = 0?\nAnswer: -4, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the third derivative of 10433333*u**5\/20 + u**4\/24 + u**3\/3 + 9*u**2. Let q be r(-1). Round q to the nearest 1000000.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -16110, -15989, -15868?\nAnswer: -15747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76*o + 85*o - 2130880 = 129*o. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -675 and -387604.8.\nAnswer: -388279.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1096727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((3*(sqrt(17) + -1 - sqrt(17)))**2 - sqrt(17)).\nAnswer: -sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 4 - (5 + 4 + -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes before 2:33 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 349 divided by 1\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 55580 - 126555658\/2277. Does -1 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -3*t - 1. Let g(z) = 6*z - 73. Let c(b) = 2*b - 23. Let a(j) = 19*c(j) - 6*g(j). What is 4*a(m) + 3*y(m)?\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17 = 5*r + 2*y - 33, -2*y = -4*y + 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 129133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o**3\/7 + 703112*o**2\/7 - 1205304*o + 25311168\/7.\nAnswer: -2*(o - 351544)*(o - 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z + 8. Suppose -2*o = 2*o - 16. Let m be g(o). Suppose 2*p = -r + p + 8, -m*p + 16 = 0. What is the smallest common multiple of r and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f = -11 - 52, -4*a - 10*f + 1148 = 946 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11383, -45578, -102571, -182362, -284951, -410338, -558523?\nAnswer: -729506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1360\/(-544)*(-16)\/(-90)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5  (b) 4  (c) -148  (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 477 + 2607 = -3*x. Let k = 160 + x. Find the common denominator of k\/(-40) - 6\/(-45) and 37\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-2\/7)*v**1*v**2\/(v\/v**(-1)) assuming v is positive.\nAnswer: v**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 3 = 2*y. Let i(o) = -o**3 - 3*o**2 - 5*o - 4. What is the remainder when 43 is divided by i(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8.239 * -60\nAnswer: 494.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 168571 is divided by 56188.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the third derivative of 943*z**6\/120 + z**4\/8 - 917*z**3 - z**2 - 2*z - 150. Differentiate w(l) with respect to l.\nAnswer: 2829*l**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5 + 8. Solve -2*s - 2 = c, 10 = -q*s + 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1945, -1945, -1947, -1951, -1957, -1965?\n\"Answer: -s**2 + 3*s - 1947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6 + 4. Let f be d + (65\/8)\/5. What is the nearest to 1 in 5, f, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c + 6. Let f be q(3). Suppose y = 1 - f, 0 = k + 3*y - 39. Calculate the remainder when k is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8 - 5. Let r be 2 + ((-3 + 3)\/(-4) - 0). Suppose q*x = -4*o - 4 + r, 0 = 2*x + 4. What is the highest common factor of 4 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = 8*s + 2340. Let k = 1477 + s. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1061633 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -103 - h**2 + 52 + 51.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.8 - 2.2. Let r = -4 - -2. Which is the closest to -0.1?  (a) p  (b) r  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9558 and 649?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**3 + 2*c**2 + 26*c - 7. Let w(t) = -t**3 + 2*t**2 + 23*t - 6. Determine -5*w(l) + 4*x(l).\nAnswer: l**3 - 2*l**2 - 11*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/7  (b) 0.21  (c) 1101.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 358, 705, 1064, 1417, 1746?\nAnswer: 2033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1183349 divided by 9.\nAnswer: 1183349\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/(2 - 1\/(-3)). Let y(d) = 63*d + 0*d**2 - 53*d - 56 + d**2. Let q be y(-14). Is x at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 38356\/9 or 4263?\nAnswer: 38356\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that 42*g**2 + 1223*g\/3 + 1097\/3 = 0.\nAnswer: -1097\/126, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes before 7:53 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 166895461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*o + 5*o - o + (-4 + 2 + 5)*(-3*o - o + 5*o) + (4*o + 0*o - 5*o)*(1 + 2 - 4) to h + l*o and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i, 1 d, and 1 p when four letters picked without replacement from {k: 3, p: 2, j: 2, d: 1, i: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.3, -3\/4, 2, 2\/21?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*p + 7*p - 14. Suppose -d = -8*d + 21. Suppose 0 = -d*l + p*l + 162. Does 18 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**2 - 18*s - 6. List the prime factors of a(-8).\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*c = 5113 - 21997. Suppose -10*x + c = -2926. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-21)\/12)\/((-7)\/28). Suppose v*w - 46 = 3*w + s, 23 = 3*w + 5*s. Sort -3, w, -1.\nAnswer: -3, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-4)*-2*-1)\/((13351195\/526)\/715)?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -30256, -60686, -91116, -121546, -151976?\nAnswer: -182406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -6*g**3 + 15*g**2 - 13*g + 1321?\nAnswer: -18*g**2 + 30*g - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-5044)\/(-169) - (1 + (-30)\/26). Let k(y) = -g*y**2 - 2 + 57*y**2 - y**3 - 23*y**2 - 2*y. Determine k(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*-4*(-2 + -2*(sqrt(99) + -1 + sqrt(99))))**2.\nAnswer: 633600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/20, 4\/5, -2\/9, 7660\/23?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 + (-123 - -127) + (-13 - 1) + 17.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2683.\nAnswer: 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -5*x + 1. Determine s(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (w - 42 + 0*w + 20)*(4*w**2 + 2*w**2 - w**2) to i*w + h*w**3 + l*w**2 + a and give l.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 9*o**2 - o - 2. Let p be w(-2). Suppose 3*t + p = t + 2*d, 75 = -5*t + 2*d. Let r = t + 21. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 - -3. Solve 5*g = 2*a + 2*a - 20, 4*g + 4*a - 20 = f for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -19 + -1 + 72 + -60?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1933884, -19 in increasing order.\nAnswer: -19, -4, 1933884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -6  (b) -152527  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y - 1156 = -10. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 274, -1\/6, 1251, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9327546*d**3*p**3 + 2508*d**3*p + 6028*p**2 wrt p.\nAnswer: 55965276*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 3, 0, 2.\nAnswer: -0.1, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/10 - (-14)\/10. Let p be -1 - (o - 9\/6). Let h = 0.3 + -0.1. Which is the nearest to 0.1?  (a) p  (b) -5  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4818.6 - 4818.495. Which is the nearest to 0?  (a) 1  (b) 1\/4  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = 3, 2*f - 3*f + 9 = -y. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 13 in -0.03, 5, -4, -14, -0.05?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(891))**2 + -1)*1.\nAnswer: 36*sqrt(11) + 894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 12 + -19?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(sqrt(228) + -2*sqrt(228)))\/sqrt(12))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4778.63 nanometers to centimeters.\nAnswer: 0.000477863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**8*g\/(g*g*g**(-5)))\/(g\/((g\/g**2)\/g)*g)**(-2\/29) assuming g is positive.\nAnswer: g**(356\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the third derivative of 0*y - 52*y**2 + 0 + 1\/6*y**3. Let f(s) = 6*s - 5. Calculate 4*b(i) + f(i).\nAnswer: 6*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -44 (base 5) to base 3.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 + 12 + (12 - 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 351*w + 163*w - 35*w to g*w + k and give g.\nAnswer: 479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1217 or 8510\/7?\nAnswer: 1217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 233 is divided by 40?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j + 3. Let f be (-12)\/90 - 86\/30. Let q = -7 - f. Let v(c) = -1. Determine q*v(l) - y(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, 108, -15\/7, -141\/2, 5?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 29 = 139*a - 140*a, -j = 4*a - 103. Solve 3*u + 11 = -b, 7*b - b - 5*u - a = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*((sqrt(108)*2 + sqrt(108) - sqrt(108)) + -5) - (-1*(sqrt(108) + sqrt(108) + 1) - -5*(sqrt(108) + -2)))**2 + 0.\nAnswer: -4092*sqrt(3) + 14029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.39 or -12453632?\nAnswer: -12453632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - -12) + -3 + -5 + -7 + 6 + 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g = -4*w + 108, -5*g - 76 = -2*w + 104 for g.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (29 - 71 + 36)*(-4*j + 2*j + j)*(9 - 4 - 4 - j).\nAnswer: -6*j**2 + 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l**(2\/5)\/l))**(-12)\/(l**(1\/4)*l\/(l**(1\/7)\/l)) assuming l is positive.\nAnswer: l**(-2983\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 35 + -12. What are the prime factors of v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (1*221)\/((-55)\/(-275)).\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 17232 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 76185164 a multiple of 737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -61.4 * -1401.\nAnswer: 86021.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**2 - 6*f + 5*f**3 - 4*f**2 - 6 + 0*f**2 + 12. Let h(l) = -9*l**3 + 6*l**2 + 11*l - 11. Let o(c) = -6*h(c) - 11*q(c). Factor o(y).\nAnswer: -y**2*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 176130396 to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 4*w + 4 = 0, -3*j = 2*w - 0*w - 10. Suppose -12 = 3*z - 8*z + j*h, 2*z = -5*h + 28. Is 32 a factor of (z\/6 + -1)\/(2\/(-294))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z + 4. Let g(w) = -w**2 + 12*w - 3. Let n be g(12). Let q be m(n). Let p be (-3)\/(-2 + 5)*(-1)\/3. Are q and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12560 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -11548*k**2 + 4*k + 11469*k**2 - 4*k. Let q(u) = u**2. Give q(x(l)).\nAnswer: 6241*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 0 + 0*y - 13*y - 5 + 1. Let a be o(-3). Let j = -126 - -131. Solve 3*i - a = -2*t - 12, 4*i = -j*t + 40 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fefnnfsnzfnf. Give prob of picking 1 e, 1 s, and 1 f.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4716*n**2 + 59475?\nAnswer: -9432*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is db8144 (base 14) in base 7?\nAnswer: 120131514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + (-4 + -3 - (-2 + -6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4*-191.195\nAnswer: -764.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the second derivative of q**4\/12 - q**3\/3 - 3*q**2\/2 + 3*q. Let c be i(0). Let v = 5 - 9. Sort -5, c, v.\nAnswer: -5, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -10*v + 1. Let k(u) = -20*u + 2. Determine 6*k(z) - 11*o(z).\nAnswer: -10*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 4*l, o + 4*l = -3 - 1. Suppose -2*f - 21 = 5*z + 713, f + 737 = -5*z. What is the least common multiple of 111\/z*44\/(-3) and o?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27.4 times 14690?\nAnswer: -402506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*j**2 + 3*j**2 + 1 + 1 - 5*j**2 in the form c*j**2 + b + y*j and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11 + -14 + 4 - -4467.\nAnswer: 2, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 3*g = -9, -5*s - 6 = -4*g - 30. List the prime factors of (s\/12)\/(3\/243).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 33297, -1\/3, 2\/11, 0.5, -3\/2, -3?\nAnswer: 33297","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*p**2\/7 + 696*p\/7.\nAnswer: -4*p*(p - 174)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 259, 1534, 5141, 12244, 24007, 41594?\nAnswer: 66169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 374 - -310. Let d = -113 + m. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 105 + -73. Find n, given that -6*n - 20*n - 12*n**4 - 2*n**5 - j*n**2 - 28*n**3 + 8*n - 4 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2677348127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13617 + -13623. Sort 6\/13, u, -0.9.\nAnswer: u, -0.9, 6\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8.1 - -8. Let a = -0.12 + 0.01. Let t = a - 0.19. What is the second biggest value in t, b, -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -16 divided by 15182231\nAnswer: -16\/15182231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 332*b**3 + 13*b - 1 - 326*b**3 + 2091*b**2 - 2093*b**2 in the form c*b**3 + l + o*b + s*b**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 6  (b) 0.053  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4 + 1 - u - 1 + (-4*u + 4*u - 2*u)*(-166 - 12 + 0).\nAnswer: 355*u + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of a*p**3 + 7*a*p**2 - 3320*a*p + p**3 - 45*p**2 wrt p.\nAnswer: 6*a*p + 14*a + 6*p - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 278360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -28 + 39. Let d = j - 10. Find the second derivative of -5 - 12*x**2 + 6 - 2*x - d wrt x.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 365772033 less than -0.5?\nAnswer: -365772033.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-145)\/406*49 - (-7)\/(-1). Which is bigger: -26 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**3 + 2*p**2 - 47*p + 7. Let l be 6\/42 - (186\/(-21) - -3). What is the remainder when -1 - -12*13 - 1 is divided by u(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6114.6 + -6114.5. Let v = -1.2 - -6.2. Is x less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 429764435?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -42020 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/10)\/(-3) - 246\/60.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -90.81677 take away 0.14223?\nAnswer: -90.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12523 by -1789.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -137389*b*k*v**2 - 4*b*v**2 - 7*b + 568*k**2*v + 270*v - 15 wrt k.\nAnswer: -137389*b*v**2 + 1136*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Total of -170 and 18.10425058.\nAnswer: -151.89574942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -30100 by -140.\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(539) + -2 + sqrt(539))**2 + sqrt(1584) + -4.\nAnswer: -44*sqrt(11) + 2156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1034 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 minutes before 9:18 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -1 + 9. Calculate the remainder when 25 is divided by -21*p\/(-6)*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = 5*o - 2*x - 3*x, 4*x = 3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*m - 3*m - 2. Suppose 0 = -4*t - 4*i + 2*i + 2, -3*t - 6 = 4*i. Calculate the remainder when t is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 648563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 211 + -211.2. Let v be (24\/88)\/(-2 + 1). Which is the closest to -2?  (a) v  (b) s  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 - 397?\nAnswer: -398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 90 + -88.3. What is the third biggest value in -3\/8, o, 1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -59 - (35\/25 + -2)*5. Let n be (-1)\/3*(-14)\/(h\/(-36)). Factor -1\/8*w**2 + 1\/2 + 1\/2*w - 1\/8*w**n.\nAnswer: -(w - 2)*(w + 1)*(w + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in 0.303, 1, -4.2, 0.5, -0.22?\nAnswer: 0.303","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -46 - -71. Suppose -a = -v - 0*s + 5*s, 4*v - 15 = 3*s. Suppose 4*x = 5*w + 249, -3*x - 4*w = -v*x - 148. Round x to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssaaaaaaa. What is prob of sequence assa?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -44 in 8\/3, -5, 0.2, 2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z + 6. Let k be x(-3). Suppose 9 = -5*r + k*r - o, -13 = -r + 3*o. Let m(t) = -26*t**3 + 4*t**2 + 6*t + 6. List the prime factors of m(r).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - 2 - (-13 - -9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 10369484 a multiple of 866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, b: 7, i: 2, l: 1, p: 5}. What is prob of picking 3 b?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 162*k**3 - 179*k**2 + 184*k**2 + 59*k**3 to c*k + v*k**3 + z + l*k**2 and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d\/d**(1\/10))\/((d*d\/d**0)\/d))\/((d*d**9*d*d)\/(d*(d\/d**3)\/d)))**(26\/3) assuming d is positive.\nAnswer: d**(-611\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -5, -342.\nAnswer: -342, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 143\/22*(-88)\/(-2288).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o**2 - 25*o - 83. Let r be p(28). Let q be (6\/15)\/((-2)\/20). Let d be q\/22 - 24\/(-11). Solve 31 + r = -4*w + 4*z, 4*w + d*z = -14 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the first derivative of 11*p**2\/2 - 18*p + 68. What is the smallest common multiple of (-4)\/(-16) + 30\/8 and x(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (38\/(-57))\/((-99)\/27)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2359453 bigger than -2359450?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 16 and 32288?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = -3*l - 3. Suppose -4*r - l = -7*r + 3*n, 2*r = 4*n + 12. Suppose 5*w - 2*s = -14, 4*w + 4*s = -s - 31. Is w > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.04 + 1.24. Let y = 4.1 + -3.1. Sort -5, v, y, -0.4.\nAnswer: -5, -0.4, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*z - 269 = -10 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1407, -1409, -1411?\nAnswer: -1413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2596 is divided by 519.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a + 2*a + 0*a)*(a**4 - a**4 - 2*a**4) - 5107*a**3 + 5107*a**3 + 17*a**5.\nAnswer: 9*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 12) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(-5) + 3\/(60\/52). Let m be (-8)\/12*(-42)\/4 - i. Suppose -3*b + m*v + 27 = 5, -5*b = 4*v - 58. Is 11 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 131\/8387360 and 63\/39160.\nAnswer: 92260960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes before 7:22 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -15cb - -4?\nAnswer: -15c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (155 + 1)\/(8\/(-12)). Suppose 3*q + y = 209, 2*y - 63 = -25*q + 24*q. What is the remainder when q is divided by k\/(-10) + (-6)\/(-10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 2*v + 90 = 0, 4*v = -a - 7 + 25. Let c = -54 - -14. Let s be 16\/c + (-164)\/(-10). Are a and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4, -39, -158, -389, -768, -1331, -2114?\nAnswer: -3153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -21 - 77038?\nAnswer: -77060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -38 - 145618203503.2?\nAnswer: -145618203541.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of 46813 and 106.3.\nAnswer: 4976221.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -6, -2*n + 2*k + 2*k = 4. Suppose 0 = 2*w - 0*w - 3*y - n, 4*y = -8. Let t be 5*(2 - 204\/105). Which is smaller: t or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the first derivative of o**4\/24 - o**3\/3 - o**2 - 1. Let l(p) be the second derivative of j(p). Let u be l(6). Solve -2*z = -3*z + u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cggg when four letters picked without replacement from ggocgooggo?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 3*y + 4. Let v(t) = -t**2 + 5*t + 9. What is -9*k(j) + 4*v(j)?\nAnswer: -4*j**2 - 7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 33\/((-17)\/(-51)*(-2)\/(-2)). Calculate the greatest common divisor of 22 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -63\/4*t**3 - 16 + 65\/4*t**2 - 1\/4*t**4 + 63\/4*t.\nAnswer: -(t - 1)**2*(t + 1)*(t + 64)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + 52 = 55 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3827666*x**2 - 141060*x + 11 wrt x?\nAnswer: 7655332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -24 + 41. Suppose -f = -4*i - 3*o + 4*o, i = 2*o - 1. Let c(a) = a**3 - 5*a**2 + a + 7. Calculate c(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (35\/42)\/(4\/24). Solve p = 2, 2*p = l*d - 0 + 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.57 + -0.17. Put 1, -1\/5, d in descending order.\nAnswer: 1, d, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 78\/36 - (-3)\/(-18). Suppose 13 = -s*o + 73. Is 28 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4421.6 - 3991. Let x = -390 + i. Let n = -37 + x. Round n to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 5*q = f + 41, 3*q = -f - 23. Let j(w) = w**2 + 8*w + 2. Let r be j(f). Suppose -x - 17 = -2*x. Solve -5*n = 3*i + 2*i - 45, -5*i = -r*n - x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 216325 and 850.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(2*(sqrt(375) - sqrt(375)*-1)\/(sqrt(147) + -1*sqrt(147) + sqrt(147)) + (2*sqrt(4235))\/(sqrt(112)\/sqrt(4)) + 2).\nAnswer: -97*sqrt(5)\/7 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.076 - -0.057. Let v = -0.01887 - l. What is v rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2916 + 2013. Is (2\/6)\/((-7)\/g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 710*w - 693*w - 47152 = 62345. Is w a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 783 divide 714165560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -17  (b) 0  (c) -3  (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the second derivative of 49*g**4\/2 - 33*g**3 - 103*g - 1. Find the second derivative of k(b) wrt b.\nAnswer: 588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:02 AM and 9:45 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1352913096 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -52250 and -24.\nAnswer: 1254000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((l*l**(-8)\/l*l)\/(l**2\/l*l))\/(l**(2\/5))**(-30))**(15\/7))**(-30\/13) assuming l is positive.\nAnswer: l**(-1350\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -47*b - 163. Let f be v(-5). Solve -947*m = -929*m - f for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1180c28 (base 13) in base 16?\nAnswer: -52d5ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s*s*s*s**(-22)*s*s*s*s**(3\/10)*s**15*s**(5\/2) assuming s is positive.\nAnswer: s**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 810 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/2  (b) -0.233  (c) -5  (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(374) - (sqrt(374) + sqrt(374)*-2*-6))\/sqrt(11))\/(-3*sqrt(8) - sqrt(200)\/sqrt(4)))**2.\nAnswer: 2448\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -21*r**3 + 21*r**3 + 13*r**5 - 12*r**5 - r**5 + 33*r**5 + (-2*r - 2*r**4 + 2*r)*(3*r - r - r).\nAnswer: 31*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -18 + 22. Suppose c*o + v = 16, -7 = 2*o - o + 3*v. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 119703 * -0.5.\nAnswer: -59851.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 559223332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17\/136 - ((-4)\/18 - 282\/432).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -15*i**3 + 430625345*i**2 + 287083575*i - 143541785 = 0?\nAnswer: -1, 1\/3, 28708357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-10)\/35)\/(2\/(-14)). Let o(y) = -y - 12. Let m be o(-14). Suppose j + m*z = 0, 0*z = 5*j + 3*z - 7. Solve -j*x - s = -4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 8*n - 10. Let x be o(3). Find the first derivative of -x + 5*b**3 - 2*b**3 - 3 - b**3 wrt b.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54 = 63*n - 544 - 77 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -3*h**2 - 3*h - 2. Let a be (2 - 8\/6)\/(7\/(-21)). Determine s(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 + -2. Let l = 419.0416 + -419. Let w = 0.3584 + l. What is the third biggest value in w, -3\/7, y, 2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*f**2 + 8*f**2 - 5*f**4 - 52 - f**2 + 1 - f**2 to the form y + j*f**3 + v*f**2 + g*f + x*f**4 and give y.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -25 - -15. Let n(v) = v**3 + 13*v**2 - 14*v + 9. Is n(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = -p + 25. Let g(o) = -3*o**3 + 8*o**2 + 5. Let k(w) = 5*w**3 - 12*w**2 - 8. Let m(f) = p*k(f) + 8*g(f). What is the third derivative of m(u) wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**(1\/5))\/((v*v**(-5)*v)\/v)*(v\/(v\/v**(-2\/11)*v))**36)**(13\/3) assuming v is positive.\nAnswer: v**(-26702\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 3*k**2 - 32*k + 8. Let d(h) = h**2 - 11*h + 3. Let p(s) = -8*d(s) + 3*y(s). Calculate p(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = 61*t - 59*t + 5*a, 0 = 2*t - 5*a - 35 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2369461106?\nAnswer: 2, 311, 3809423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19109*b - 12255 = -18894*b for b.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-2\/25)\/s**(-6))\/(s*s*s*s**7*s*s*s\/(s**(-7)*s)) assuming s is positive.\nAnswer: s**(-327\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 5*u**2 - 623*u + 68. Let q(t) = -4*t**2 + 625*t - 51. Give 4*q(x) + 3*w(x).\nAnswer: -x**2 + 631*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -390 divided by 5\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -560560942*r**4 - 1391945482*r**2.\nAnswer: -13453462608*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 60\/(-45)*(-13 + 2\/2). Suppose -5*p + 3*r + 5 = 0, 2*r + 0*r - 10 = 0. Solve 3*m - p + f = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.6 and -5476683?\nAnswer: 5476683.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5990 and 3.\nAnswer: 17970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a = -2*h - 4 + 26, 5*a + 38 = 4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {n: 1, s: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k**3 - 2*k**2 - 6*k + 4. Let b be 224\/(-84)*(-6)\/4. Let q be o(b). What is the greatest common factor of q and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*o + 0*o - 4*o)*(1 + 3*o - 1 - 4*o + 4*o + o - 2 + 2 - o + (o - 3*o + 0*o)*(1 + 1 - 3) + o + 0*o - 2*o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 36 - 25. Let y = -9 + j. Let g(q) = q**3 + 4*q**2 + 3*q + 5. What is the lowest common multiple of g(-3) and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 10*i + 7. Let t be q(5). Suppose -y = -3*y. Suppose y*k + 3*k - t = -4*r, 5*k = 3*r + 95. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 0 + 0 + 2*w. Let j(b) = 385*b**2 - 49. Let x be 2\/(-4) + -11*36\/(-8). Let v(o) = 16*o**2 - 2. Let p(h) = x*v(h) - 2*j(h). Give p(r(s)).\nAnswer: 56*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 768934.7 minutes in microseconds?\nAnswer: 46136082000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -14*g**3 + 14 + 13*g**3 + 15*g + 14*g**2 - 9. Let i be u(15). Solve 0*t - i*t - 5 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-9108)\/15939)\/(2\/(-70))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -2, 526, 7 in descending order.\nAnswer: 526, 7, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2464.65  (b) 4  (c) -5  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -737 + 1103. Does 36 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-21 + 20)\/((-3)\/5283)?\nAnswer: 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12224 (base 7) in base 15?\nAnswer: e38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1677185293?\nAnswer: 7, 73, 3282163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the second derivative of p**5\/70 - 61*p**4\/14 + 3721*p**3\/7 - 226981*p**2\/7 - 224*p. Factor s(x).\nAnswer: 2*(x - 61)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1a + -20799?\nAnswer: -20808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 22181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:25 PM and 11:54 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w\/(w**22\/w)*w\/(w**15*w*w) assuming w is positive.\nAnswer: w**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 104403784.\nAnswer: 3\/104403784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47 = 2*f - 231. Let m = -85 + f. Solve 4*q = 5*o + 23, -q + 3*q - m = o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 530266104 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: What is the highest common factor of 29 and 3103?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5840755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z - 6 = -3*o + 4, 4*z = -5*o - 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*d = 2*s - 19*d - 34, 3*s + 6 = -5*d. Suppose 0 = j - 10 - 2. Calculate the smallest common multiple of j and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 86687.54 millilitres to litres.\nAnswer: 86.68754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 27994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -122*t**3 + 36*t**2 + 4*t + 119*t**3 + 2*t + 2*t**4 + 2 - 6*t to the form x*t**3 + q*t**2 + l*t**4 + w*t + y and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -367, 2, 3\/7, -0.3, -2 in decreasing order.\nAnswer: 2, 3\/7, -0.3, -2, -367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 98\/(-8)*(-94)\/(-329)*88\/14?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 12 = 0, 5*g + 53 = 4*f + 2. Solve -d = -4*y + f - 2, -5*y = 2*d + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s - 3, s + s + 7029 = g. Let v = 10084 - g. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -57\/84776 and -19\/56.\nAnswer: 593432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 81 + 65.8. Let p = 198 - t. What is p rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**2 + 7*z - 32. Calculate j(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*g = -28*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -344.5 + 345. Let h = 0 + -0.2. What is the second smallest value in h, k, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15 + 5 + 0 - (-27 + 5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4468598 is divided by 832?\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m**2 - 1 + 1)*(4 - 4 - 5*m)*(-4 + 4 + 5*m).\nAnswer: 25*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 77*u + 19*u + u. Sort -27, 2, -4, u.\nAnswer: -27, -4, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 2*y + 0 + (3*y - 4*y + 0*y)*(-2 + 3 - 2))*(-307 + 51 - 9) as q + g*y and give g.\nAnswer: -795","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9893548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 120808.34 rounded to the nearest 100?\nAnswer: 120800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 - -1.689?\nAnswer: -16.311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/6 + 206\/75 + 36\/(-450). Solve -k*x + 5*s - 5 = 3*x, 5*s = x + 13 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34.53013 times -0.3?\nAnswer: -10.359039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1.4  (b) 0.1  (c) 298399\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 4*x + 58050924 = 0, 66701652 + 5862007 = 5*f + 4*x. Let c be 3*1 + -7512733 + -5. Let h = c + f. Round h to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/54 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 8, 16, 36, 74, 136, 228, 356, 526?\n\"Answer: b**3 + b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -1236808.8 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -32143 (base 6) in base 13?\nAnswer: -1cc2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 151021\/23672 + -14\/2959. Calculate the common denominator of s and (-1)\/(-2) + 24\/(-15).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 62645677.\nAnswer: 193, 324589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 64219809*i**3 + 9399*i - 64219804*i**3 - 9399*i.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 49 + 53*t**2 - 49 as q*t**2 + m + v*t and give q.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1074304697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (18\/15)\/(2\/5). Let y = 11 - t. Let o be (8\/10)\/(1\/25). Calculate the highest common factor of o and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 138006283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*v + 16*v = 26*v - 220. Suppose -7*c + 100 = -3*c. What is the lowest common multiple of v and c?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (846\/34)\/1 + 266\/2261. Let j(g) = g + 0*g + 4*g**2 - 3*g**2 + q*g**3 - 5*g**2 + 5*g**2. Determine j(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from mmgmmgmmmggmmmmmmmg?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of 533938 and -3.\nAnswer: -1601814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is y in -882*y**4 - 1218*y**3 + 1396*y**2 + 640*y + 64 = 0?\nAnswer: -2, -4\/21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4830 = -83*d - 400*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 705, 1817, 1835, -741, -7411, -19675, -39033?\nAnswer: -66985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2110030 + -22002?\nAnswer: -2132032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -f**3 + f**3 - f**3 + (2*f**2 + 0*f**2 - f**2)*(-2*f + 0*f + f) + (0 - f + 0)*(-3*f**2 + 5*f**2 + 0*f**2) + 0*f**3 + 2*f**3 - 3*f**3.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 - ca14c4?\nAnswer: -ca14c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 18, 50, 94, 144, 194?\n\"Answer: -s**3 + 12*s**2 + 3*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9*o*t*u**3 - 22*o*t*u**2*z + 2*o*t*u*z - o*t*u - 18*o*u**3*z + 2*o*u**2*z + 10*t*u*z - 2*t - u**2 wrt u.\nAnswer: 54*o*t - 108*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 69 divide 474858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 243*o**3 - 3*o**2 + 2*o + 5. Let k(q) = 242*q**3 - 4*q**2 + 2*q + 6. Let y(b) = 5*k(b) - 6*p(b). Find the third derivative of y(l) wrt l.\nAnswer: -1488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-519 - -493) + -5 + 5\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z*z**(-4\/3)*z))\/z**(-8) assuming z is positive.\nAnswer: z**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 8 - -21. Calculate the remainder when g is divided by -16*(-2 + 1)\/1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**3 + 6*m**2 - 5*m + 5. Calculate the remainder when 7 is divided by h(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -21857772*g**2*s - 378202*g*s + 31*s wrt g.\nAnswer: -43715544*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-27 + -2 - -2 - (24 - (-9 + 37))) + -10?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:37 PM and 10:01 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -63 - -52. Let p = y - -17. Calculate the least common multiple of p and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -356, -363, -384, -425, -492, -591, -728?\n\"Answer: -a**3 - a**2 + 3*a - 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((56*q + 59*q + 47*q)*(-5 + 1 + 3) + 2*q - 2*q + 2*q)*(q**2 - q**2 + 2*q**4).\nAnswer: -320*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -103, -168, -233?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-7)*(o*o**(1\/6)\/o)\/o)\/((o**1\/o)\/o)**(-9) assuming o is positive.\nAnswer: o**(-101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 135, 145, 161, 183?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -10.4 - -10.4496. Let v = 0.9504 + p. Which is the third biggest value?  (a) v  (b) -1  (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -1393*o + 49. Let m be b(-4). Suppose -m - 3049 = -17*n. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qpld when four letters picked without replacement from qljjppjldjjpqjpjl.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 462 divided by 231.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 2172*x - 1646281. Calculate z(758).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -9, -38, -99, -204, -365, -594, -903, -1304?\n\"Answer: -2*w**3 - 4*w**2 - 3*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((48\/20)\/6)\/(3\/(-30))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**3 - 38*t**2\/3 - 8*t\/3 + 8.\nAnswer: -2*(t + 1)*(t + 6)*(3*t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 125 - 65 + 114 = 58*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 2*w**3 - w + 4. List the prime factors of q(3).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -t**2. Let u(r) be the second derivative of r**3\/6 - 2*r. What is i(u(k))?\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 175 (base 11) to base 6\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 - 10 - -21 - 0 - (3 - -11)) + 63.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 take away 5289908724?\nAnswer: -5289908724.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -68 (base 9) to base 7.\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 360 a factor of 27179365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1030676 and 166068?\nAnswer: 2636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 1 y when three letters picked without replacement from {u: 7, t: 5, s: 1, y: 5, e: 1}?\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*p**2 + 639*p + 260820.\nAnswer: -3*(p - 420)*(p + 207)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 23 + -13 + (-5 - (-3 - (-7 - 2)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 442278 to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1381285, -1381283, -1381281, -1381279, -1381277?\n\"Answer: 2*g - 1381287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*r - 22*r = 79*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = 5*o - 83, -2*o + s + 38 = -s. Suppose l = 6*l - o. Solve -3*v**3 + 5*v**3 - 6*v**l + 0*v**3 - 8*v**2 + 12*v = 0 for v.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 = -17*i - 38 - 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5*3\/(-5) - (-168)\/(-49)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -343133042 (base 5) to base 15\nAnswer: -205482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -31 in 1, -0.1, 10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -3*c + 2. What is the smallest common multiple of 12 and z(-6)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 12, 3083138, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*y + 1 + 2*y + 2)*(-216 + 126 + 127) to h + n*y and give h.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -2*l + 9. Let z be (4 - -1)*(12 - 11). Suppose o + 96 = z*o. What is the highest common factor of l and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 30894, 27, -19 in ascending order.\nAnswer: -19, 27, 30894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -173*r**2 - 226*r + 228. What is j(1)?\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-62 + 60)*((-105)\/(-6))\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes before 7:45 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -1, -0.1, -2\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2622 is divided by 89?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2870)\/(-11152) - 3\/8?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-89)\/(-890))\/((-2)\/4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 10, j: 6, x: 2}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -23*m - 5. Let n be g(-7). Let f(b) = -b**2 - 14*b + 26. Let a be f(-5). Let r = n - a. Calculate the remainder when r is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**2 - 126. Let g(m) = -2*m**2 - 231. Let j(n) = -11*d(n) + 6*g(n). Let u(i) = -233*i. Calculate u(j(l)).\nAnswer: 233*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 7 = 2*i, -3*j - i - 4*i + 19 = 0. Solve 454*q - 451*q - 13 = 2*z, j*z + q = 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:38 AM and 4:34 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -8, 0, 3 in decreasing order.\nAnswer: 10, 3, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(168)\/(sqrt(6)*1).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 450 and 2646?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -257 + 165. Let c = y + 69. Is -24 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m**3 + 3*m**2 - 2*m + 5. Give z(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 times -199?\nAnswer: -19.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -450*u*w - 289*u wrt w.\nAnswer: -450*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -153241*d. Let j(n) = -26*n**2. Calculate j(w(i)).\nAnswer: -610552906106*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 60\/210 - 12\/21.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -636\/25 in -2\/7, -1\/8, 0.06?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/(-4)*6*2. Suppose h = c*h + 48. Let o = -9 - h. Calculate the remainder when o is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.770416 rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1148, -4677, -10572, -18845, -29508, -42573, -58052?\n\"Answer: -2*b**3 - 1171*b**2 - 2*b + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -40\/909 - 629\/6363. Let f = 10 - -22. Which is the second biggest value?  (a) -5  (b) z  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/12*688\/258\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -111\/2?  (a) -5  (b) -20  (c) -0.1  (d) -2\/7  (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 2 = -n. Let u(j) = -2*j - 4. Let q be u(-3). Suppose -3*d - 14 = q*p - 3*p, -2*d - 6 = -4*p. Is p smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**2 + 0*s**2 + 3*s**2 + 3*s**2 - 2*s**2. Let o(m) = -56*m**2. Determine o(q(u)).\nAnswer: -504*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 9}. Give prob of picking 4 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*a**3 - 830*a**2 - 17715*a - 95850.\nAnswer: -5*(a + 9)*(a + 15)*(a + 142)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {u: 1, k: 1, h: 3, n: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-98)\/8)\/((-9)\/(-36)). Let z = -13 - w. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:42 AM and 12:49 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 4542 (base 6) in base 2?\nAnswer: 10000101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - 5)\/10*-1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = 2*q - 139, -5*f - 91 = -2*q + 18. Calculate the highest common divisor of q and 1519.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2499)*1 + sqrt(51))\/(6*(sqrt(3) + sqrt(15)\/sqrt(5))) + -4 + (sqrt(17) - (sqrt(17) - -3*(3 + sqrt(17))) - sqrt(17))*-3)**2 + -2.\nAnswer: 1748*sqrt(17)\/3 + 29291\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10 - -16. Suppose 37*a - 293 = 114. Calculate the lowest common multiple of a and g.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/44 and -107\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-64)\/(-28) + 2\/(-7). Which is the nearest to 4?  (a) -1  (b) 3  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5 - 3. Suppose 0 = -2*v + v + i. Let t = v - 2. Which is the closest to t?  (a) 0.5  (b) -0.2  (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 40*d**3 + 2*d - 2. Does 4 divide c(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 36 and 272.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*x + 2 - 7. Let n be x - (-1 - (-2 + 2)). Suppose 0 = -f + 4*k - 6, 0 = n*f - 5*k + 4 + 5. Let s(h) = -h**3 + 2*h - 1. Calculate s(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:29 PM and 2:23 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16773765.\nAnswer: 3, 5, 37, 30223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 49.39494l to millilitres.\nAnswer: 49394.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42 - 121*v + 10*v + 18*v + 29*v + 20*v.\nAnswer: -44*v - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 7\/8 of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8 - 3. What is the units digit of t\/(20\/64) - -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that 5*n**4 - 105960*n**3 - 104119560*n**2 - 33431594400*n - 3560792445360 = 0.\nAnswer: -318, 22146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g + 24. Let k be w(-19). Let z(c) = 15*c**2 - 4*c - 6*c + 7*c + c**3 + 9 - k*c. Is z(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -181 and -188.5.\nAnswer: 34118.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 33, 35, 39, 45?\n\"Answer: g**2 - g + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 447 or 448?\nAnswer: 447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l - 6 + 4. Is 3\/(-2)*-41*l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -122, -17, 5 in ascending order.\nAnswer: -122, -17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 105\/(-50)*(-10)\/210.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17571 is divided by 5091.\nAnswer: 2298","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*o**3 + 10*o**3 - 2*o**3 - 6*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -5 + 7, -5*d + 5*h - 4045 = 0. Let l = -241 - d. Is 56 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 5*t**2 + 22*t - 153. What is the remainder when n(7) is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 306 and 2293776.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 287840072 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 256076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51*y**2 + 29*y**2 - y - 25*y**2 - 19*y**2 + 0*y.\nAnswer: -66*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -475 = 5*b - 5*f, -4*b = 4*f - 2*f + 368. Let d = b + 95. Find the first derivative of 23*p + d - 1 - 23*p + 2*p**2 wrt p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qmimffqqmqm. Give prob of picking 2 f.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 + 2a?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Total of -13.61 and -518310.5.\nAnswer: -518324.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -49*i + 15. Let f be w(-6). Suppose t = 4*b + f - 51, 744 = 3*t + 3*b. Does 27 divide ((-4)\/10)\/((-1)\/t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 3089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 times -0.4\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7069*z**3 + 1119*z**2 wrt z?\nAnswer: -42414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.42 - -1.42. Let m = 2 - 1.9. Let w = m - 0.1. Which is smaller: w or q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 5*z + 32 = 3*r, 4*z + 7 = -3*r. Suppose -n - r*n = 3*n. Suppose 0*t + 4*t - 8 = 0, 4*s - 10 = t. Solve 4*c = -s*j - n + 7, -c = -j + 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -5 - j + 1 - j + 3*j. Let h(w) = 1. Let s be -4*((-7)\/(-4))\/(-7). Calculate s*n(l) + 3*h(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the third derivative of -s**8\/5040 - s**6\/144 - s**5\/10 - 4*s**2. Let i(u) be the third derivative of a(u). What is the derivative of i(l) wrt l?\nAnswer: -8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1\/3 - -11\/15. Let w be 40\/18 - (-4)\/(-18). Let j be -13*2\/12 + w. Which is the second biggest value?  (a) -5  (b) j  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*d + 2*d + 4*d)*(595 + 2541 + 22)*(-d - 2*d + 2*d)*(4 - 3 - 2) in the form n*d + k*d**2 + h and give k.\nAnswer: 6316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*u + u - 5*u)*(0 + 2 - 4) - 4*u + 4*u + 2*u - 179 - 11*u + 179 as r + s*u and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*b - 4*r - 2 = -2*b, -2*b = -2*r - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kslsiijj. What is prob of picking 2 i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -0.2  (b) -3  (c) 1\/6  (d) 3\/5  (e) -339\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10 + -5. Suppose 123 - 42 = 2*r + 3*a, -3*a = 3*r - 126. Suppose 2*n - 4*u = 40, -g*n = -3*u + 4*u - r. Solve 5 = -f, d - 25 + n = 4*f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10 - 8. Let v = 2 + f. Solve -v = -5*u + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from {s: 1, w: 1, x: 1, h: 1, p: 1, f: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the first derivative of r**5\/20 + r**4\/24 - r**3\/2 + 2*r**2 - 2. Let a(h) be the second derivative of f(h). Is a(-4) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 14) to base 5\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/5, -14\/3, -2 in decreasing order.\nAnswer: 3\/5, -2, -14\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**3 - 42*y**2 - 577*y + 28770. Determine s(35).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -184101, -184147, -184191, -184233, -184273?\n\"Answer: b**2 - 49*b - 184053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5594584682 to the nearest integer?\nAnswer: 74797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 15*r + 13. Let k be ((-35)\/((-112)\/16))\/(-1). Let o(b) = -7*b - 6. What is k*o(z) - 2*u(z)?\nAnswer: 5*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 128024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 132816*x = 132792*x - 600 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*f**2 - 18790*f - 17653205.\nAnswer: -5*(f + 1879)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g\/g**(-2\/17)*g*g\/((g*g**9)\/g*g*g))\/(g**(-7\/2)\/g**(-5)))**(-34))**(4\/5) assuming g is positive.\nAnswer: g**(1276\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1 - 1)*(-10)\/20. Suppose 3*t - 6*z + z + 42 = y, t + 5*z = -34. Is (-3 - t) + 0\/(-1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/5*w**2 + 0 + 61\/5*w.\nAnswer: w*(w + 61)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m**5 + m**5 + 3*m**5)*(-46 + 28 - 42) + (0*m**3 + 3*m**3 - 2*m**3)*(-2*m**2 - 2*m + 2*m) - 4*m**5 + 0*m**5 + 2*m**5.\nAnswer: -184*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 14621760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and -18\/2291 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0.2*-0.051\nAnswer: -0.0102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 5*h**3 + 2*h**2 + 2. Determine x(-2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 124755233 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2012100 - 11200?\nAnswer: -2101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.1 + 0.3. Let o = 2.2 - n. Which is the closest to o?  (a) -1  (b) -2\/23  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/13, -3\/9476, -3, 20\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -177181800 to the nearest one million.\nAnswer: -177000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - 3*f = 7, 2*h + 5*f = -3*h - 45 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -470*r**3 + 915*r**2 + 50*r.\nAnswer: -5*r*(r - 2)*(94*r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 325323 to the power of 1\/2, to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*o - 40 = -90 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange h**2 + 5*h + 0*h + 5*h**3 - 3*h - 4*h**3 to t + d*h**2 + l*h**3 + w*h and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the second derivative of b**3\/6 - b. Let y(t) = 2*t. Calculate m(y(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 15 + -14.881. Let a = 218.5 + -216.879. Let i = p + a. What is i rounded to 1 dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.6 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the first derivative of -i**8\/1680 - i**5\/120 - i**3 - 3. Let h(f) be the third derivative of g(f). Find the second derivative of h(d) wrt d.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**3 - 8*r**2 + 106*r - 456. Calculate z(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 274403 (base 11) in base 15?\nAnswer: 877d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -204*f + 160*f + 145 = -31. Solve -5 = -w, f*y - 3*w - 2*w + 29 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1817, 3634, 5451?\nAnswer: 7268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 161 + -107 + -58 - (-7 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4782837mg in grams?\nAnswer: 0.0004782837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 237 minutes before 9:00 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 18134292 to the power of 1\/2, to the nearest integer?\nAnswer: 4258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -4*r + r + 8, -6 = 2*r + 5*l. Suppose -r*z = 2*b - 72, 4*b = -2*z - 3*z + 143. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (3\/36*18)\/(4\/(-8)). Let i(w) = -3*w + 3. Let a(r) = -r + 1. Let v(f) = 2*f - 2. Let h(c) = 8*a(c) + 5*v(c). Give b*i(o) - 4*h(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -8*i - 35. Let v(s) = 9*s + 42. Let u(f) = -6*o(f) - 5*v(f). Let d(c) be the second derivative of 5*c**3\/6 + 3*c**2 - 2*c. Calculate u(d(m)).\nAnswer: 15*m + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = 2*b + 2*b + 205, 40 = -b - d. Let q be ((-6)\/b)\/(2\/(-6)). What is the closest to -0.2 in 0.4, q, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3300*f**2 - 25 - 40 - f**3 - 1386*f**2 + 33 + 34 + 2*f to i*f**3 + x*f + b + t*f**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.39 and 11?\nAnswer: -4.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80*r - 78*r + 90 - 117 = u + 4*u, r + 36 = -34*u - 206 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 44, 42, 40, 38, 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of -74621959073 and 0.196.\nAnswer: -74621959072.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 0 - a**2)*(-3*a**2 + 0*a**2 + a**2) - 248*a + 248*a + 3*a**4)*((0 - 2 + 4)*(4 + 2*a - 4) + 5*a - a - 5*a + 4*a - a - a).\nAnswer: 25*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 890, 4060, 9520, 17270?\nAnswer: 27310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 4008 * 4\nAnswer: 16032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 17\/8 of a millennium?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least 633\/7319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -43, 134, 427, 836, 1361?\n\"Answer: 58*k**2 + 3*k - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 71*f**2 + 41*f + 20 - 78*f**2 + 225*f**3 + 59*f - 338*f**2.\nAnswer: 5*(f - 1)*(3*f - 2)*(15*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 34143169\/24 + -1422311. Let o = 321 - k. Are o and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -101112000000 (base 3) in base 11?\nAnswer: -131605","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 832 and 520.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6312 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y**4 + 24*y**3 - 184*y**2 + 480*y - 400 = 0.\nAnswer: 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/252 - (825881\/(-280035))\/(-1 + 2\/3)?\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 2*i - 141 = m, m = 5*i + 174. Which is smaller: i or -34?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (((sqrt(11) - (sqrt(11) + sqrt(22)\/sqrt(2)))*5)**2 + ((sqrt(110) - 2*sqrt(110)) + sqrt(110) - sqrt(110))\/sqrt(10))*1)*-4.\nAnswer: -1100 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 + 9. Let n = 6 - s. Let q = 2 - 2. Which is the nearest to q?  (a) 1  (b) -0.5  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1685 - 11785\/7. Let 8\/7 - 2\/7*i**4 - x*i**3 - 6\/7*i**2 + 10\/7*i = 0. What is i?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 + 6. Suppose -5*h + 1 = -4*f, f = 11*h - 10*h. What is the remainder when u is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 6*m**2 + 10*m + 332. Let t be x(0). Let i = 830 + -499. Which is greater: i or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 + (15 - 2) - 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 153*f + 347*f + 423*f.\nAnswer: 923*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-10)*1590\/(-9964)*(-34)\/153.\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 22 + -23. Let f be (-2)\/2 + 3\/(-1). Suppose 29*q - 99 = 46. Sort -17, q, h, f in descending order.\nAnswer: q, h, f, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 2 + 6 = 0. Let p(x) be the third derivative of 0 - 1\/60*x**5 - 1\/24*x**4 + 0*x + 2*x**2 - 1\/3*x**3. What is p(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -414*o - 2689. Is y(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g - 23 - 13. Let i(a) = a - 8. Let t be i(g). Suppose 3*z - t = -7. Which is smaller: z or -6\/13?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -12*x - 7. Does 3 divide u(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -4*l + 1. Suppose 0 = 5*i + 5*a - 45, -3*i - a + 17 = -0*i. Suppose -4*f = -5*f + 9. Let b be f\/i + 3\/(-12). Determine k(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -73\/3, -1, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -2*o**2 + 8*o - 7. Let m(r) = 4*r**2 - 16*r + 14. Let p(n) = -2*m(n) - 5*w(n). Let j be p(3). What are the prime factors of j*3\/(9\/66)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -11*x**2 - 128*x + 48 = 0. Calculate x.\nAnswer: -12, 4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 69 - 15 = 0. Calculate the greatest common factor of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 9*j. Let z(y) be the first derivative of -10*y**2 - 84. What is h(z(m))?\nAnswer: -180*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 151337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*o - l + 19 = -26*o, 2*o + 5*l = 88 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4, -8921, -4, -3\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in fourty-five quarters of a meter?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 26*g + 47. Let p(d) = 52*d + 93. Let h(l) = 4*p(l) - 7*q(l). What is the units digit of h(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 52 - 36. Calculate the common denominator of 6\/(-4) + (-170)\/l and 149\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 560413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) 0.2  (c) 1\/8  (d) 3002\/39  (e) -1  (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 176 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 plus -5.268701786?\nAnswer: -4.268701786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2)\/4*-1)\/((-14)\/28). Let p(r) = -4*r**3 - 7. Let s(q) = 3*q**3 + 5. Let o(t) = 5*p(t) + 7*s(t). Determine o(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -120*p + 1203. Determine i(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vdd when three letters picked without replacement from xxvddoodoxoo?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 4610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (16\/(-5))\/((-1)\/5). Let x = p + 1551. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.53 + 0.03. Let j = 65407\/4 + -16352. Which is the fourth biggest value?  (a) j  (b) 3  (c) 4  (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.75 + -2.75. What is the smallest value in n, -2\/7, 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 + 2.5. Let m = 3.75 - 3.05. Let p = n - m. Which is the third biggest value?  (a) 1\/3  (b) p  (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 35 and 1505.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8 + 10. Let k(o) = -4*o**j + 8*o**2 - 4*o + 11*o. Let g(r) = -r**2 - 2*r. Let f = -16 - -23. What is f*g(y) + 2*k(y)?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -75, -86, -105, -132, -167, -210, -261?\n\"Answer: -4*d**2 + d - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(2\/13)*s)\/s**(-5))**(2\/53) assuming s is positive.\nAnswer: s**(160\/689)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 279 minutes after 7:10 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 391481874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -0.06 * -544.9\nAnswer: 32.694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 80\/35 + (-4)\/14. Suppose 5390 = -n*x + 9*x. Suppose x = 5*j - 0*o + o, 3*o + 462 = 3*j. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**2. Let k(d) = -49553*d. Determine k(j(r)).\nAnswer: 49553*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*b**2 + 3*b**2 - 2 + 2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 4*q - 38. Let o be x(10). Suppose o*z = -3*m - 12, -3*z - 5 + 2 = -3*m. Let w(t) = -36*t + 2. What is the hundreds digit of w(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 145 is divided by 34?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8.6 - 10. Let p = -4.4 - q. Let d = 0.1 + -1.1. Is p <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 148398 and 148398.\nAnswer: 148398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10637, -15168, -19699, -24230, -28761, -33292?\nAnswer: -37823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-20)\/(-8)*1*7055\/(-5125). Let r = 96\/41 + h. Calculate the common denominator of -77\/40 and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2684 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 1 c when three letters picked without replacement from cdddcdcddaacdddd.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -175 - -171. Sort 18, 3, q, 0 in decreasing order.\nAnswer: 18, 3, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v**3 - 2*v**2 - 4*v - 2. Let a be 808\/320*4 - (-1)\/(-10). Suppose 0 = a*x - 176 + 196. Give h(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(78)*-2*-2 - sqrt(78))\/(sqrt(18)\/(sqrt(12)\/sqrt(4)) + sqrt(6)) + 5)**2*3 + 4.\nAnswer: -135*sqrt(13) + 3475\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2758963 not equal to 2758963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -2033*p + 10. Let j be n(0). Solve 13*l + j*l = -92 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12669, 50639, 113925, 202527?\nAnswer: 316445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 877\/7 + -125. Let p = -0.388 + 0.788. What is the closest to p in q, -5, 5\/6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.034821 and -85.9.\nAnswer: -85.865179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = 2*h - 6, -8*z = h - 6*z - 3. Solve 3*o + h*l - 2*l + 5 = 0, -o = 2*l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4957962, 9915925, 14873886, 19831845?\nAnswer: 24789802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ooooooooo. What is prob of sequence oooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 7 + 19 = 3*u, 3*u - q = 8. Let z be (u\/2)\/((-6)\/(-8)). Suppose -12 - z = -r. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m**(2\/5)*m)*m)**(-41)\/((m**(1\/3)\/m)\/(m\/m**(1\/6))) assuming m is positive.\nAnswer: m**(-231\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**3 + 5*u**2 + u - 1. Let o be q(-2). Suppose 12 = -z - z. Is (o\/z)\/((-2)\/8) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (4 - -1)*8\/10. Suppose 5*b - 4*z + 0 - 12 = 0, 3*z = -n*b + 22. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-2*1\/4). Suppose t*w - w = -q - 14, 3*q = -w - 2. Let i be ((-4)\/10)\/(1\/(-5)). Solve i*z + 5 = q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 3*a**2 - 1. Suppose -2*i - i = -9. Suppose 20 = x + i*x. Suppose 2 = -2*c - 3*o - 0, 4*o - 5 = x*c. Determine y(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1147481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 486 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -3593*f - 431337. Calculate l(-120).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 9 + -15 - -5 - (3 + -16)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 186309850, 372619700, 558929550?\nAnswer: 745239400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 100c (base 14) in base 16?\nAnswer: ac4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 3460, 3447, 3420, 3373, 3300?\n\"Answer: -a**3 - a**2 - 3*a + 3465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 58*(1 + 3\/(-6)). Suppose -5*h = -6*h + v. Let n = h - -98. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 2*q + 1 - 1. Let a(d) be the first derivative of 0*d - 12 + 0*d**2 + 1\/3*d**3. What is a(k(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 7*q = 0. Which is the smallest value?  (a) q  (b) 0.4  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.03?  (a) -5\/2  (b) 581  (c) 0.3  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*d - 140 + 485. Do 115 and d have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 3*s + 3 = 1, 3*w + s + 8 = 0. Is -1 less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4972 and 2260?\nAnswer: 24860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-5\/7)*k*k*k**(-6\/11))\/(k**(4\/11)\/(k\/k**(-1\/13)*k)) assuming k is positive.\nAnswer: k**(2456\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*b = 9*b - 155. What is the smallest common multiple of (-271)\/(-8) + 4 + b\/(-40) and 4?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yiyi when four letters picked without replacement from yqyivi.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -241 + 112?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1*0*2\/6. Let v(n) be the second derivative of p + 1\/3*n**3 - 1\/2*n**2 - 2*n. Give v(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 92 and 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 838983 to the nearest ten thousand.\nAnswer: 840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -10688, -21376, -32062, -42746, -53428, -64108?\n\"Answer: i**2 - 10691*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**3 + 5*y**2 - 3*y - 3. Give p(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 207 = -49*a + 893 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 396\/45 - (-2)\/10. Calculate the highest common divisor of 3 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -20*y. Let d be p(-1). Let h be 8\/24 + (-178)\/(-6). Suppose 5*b + 10 = h. Solve -b*s = -0*s + d for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 102 + -43. Let l = 54 - q. Which is the closest to -2?  (a) -0.4  (b) l  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m + 1. Let g = -231 + 237. Let o(r) = 2 + 9*r + g - 12 + 0*r. Determine o(u) + 6*s(u).\nAnswer: 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/((-5)\/5) + 3. Suppose n*h - 12*h = -1328. What are the prime factors of h?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 40 + -73. Let u = 33.0385 + s. Let i = -0.052 + u. What is i rounded to three decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-p**2 - 4*p**2 + 6*p**2)*(-3*p + 0*p + p) + 0*p**3 - 3*p**3 + 10*p**3 as k + c*p**2 + r*p**3 + n*p and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -194*d + 5. Let m be h(2). What is m rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: bd (base 15) to base 16\nAnswer: b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17017969 = 10*p - 4152031. What is p rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 2*k**2 + 7*k + 720. What is the hundreds digit of n(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1563 > -1566?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -1144 divided by 2\nAnswer: -572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(125) - (sqrt(125) + -1 - sqrt(125)))*3)**2 + 2*(sqrt(45)\/sqrt(324))**2)*3.\nAnswer: 270*sqrt(5) + 20417\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -37*c**2. Let n(i) = 5*i. Determine n(p(d)).\nAnswer: -185*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 67557*w**5 + 104547*w**2 wrt w.\nAnswer: 4053420*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - -3 - (-1 + -3 + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 17\/2?  (a) 1397  (b) 2\/31  (c) -2  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -3, -247, -0.2, 11, 0?\nAnswer: -247","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes after 9:47 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 13 = 3. Suppose 0 = n*o - 3*o. Suppose -3*l + 12 = -o*l. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(((2*2*sqrt(1088)*4)**2 - (-4 + sqrt(1377)*-2 + sqrt(17) + -4)**2) + 0).\nAnswer: -1094204 + 1088*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1596796797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that -5*l**3 + 14*l + 41*l + 17*l**2 + 11*l + 55 + 39*l + 28*l**2 = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 5 - 5 = 0. Let c(d) = -6*d + d**3 - q*d + 3 + 3*d**2 - 6. Let t(n) = 12*n**2 + 66*n + 85. Let v be t(-3). What is c(v)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -1691*z - 38896. Determine y(-23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zp when two letters picked without replacement from zzzpp?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -110, -169, -228, -287, -346?\n\"Answer: -59*k - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 64589123?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9169418 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 less than 113.657436?\nAnswer: 114.057436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 703*i**6 - 25*i**2 + 1 wrt i.\nAnswer: 84360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 48*v**4 + 79*v**2.\nAnswer: 1152*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6354 + 6937. Calculate the greatest common factor of p and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 + 52*y - 55*y)*(5*y**2 - y**2 - 2*y**2 + (2*y - 3 + 3)*(0*y - 3*y - y) + 1 - 1 + 2*y**2).\nAnswer: 12*y**3 + 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 3*s - 0*s + 3*q, s + 13 = 3*q. Let i be s\/5 + (-5)\/((-150)\/24). Suppose i*p = -p + 190. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3337120 and 160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -2*t**2 + 131*t - 1224. Calculate y(39).\nAnswer: 843","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 78 + -76. Suppose 0 = 3*a - 4*o - 19, w*o = 4*a - 3 - 19. Suppose z - 372 = -4*d - 126, 5*d = -a*z + 315. List the prime factors of d.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 276*d + 2*d**2 - 276*d + d**2 + 14.\nAnswer: 3*d**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -570 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e and 1 z when three letters picked without replacement from {k: 2, e: 4, s: 1, z: 2, c: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5, 216\/17, 0.68, 0, -2\/13, 1?\nAnswer: 216\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 82, 374, 860, 1540, 2414, 3482?\n\"Answer: 97*n**2 + n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 414 - 1231?\nAnswer: -615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the second derivative of -149*m - 1\/15*m**6 + 0*m**2 + 0*m**3 + 0 - 1\/3*m**4 + 3\/10*m**5. Let h(c) = 0. What is c?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16838 is divided by 5542?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 7) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 11431 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 102 + -108 + 52 - (-1 - (3 - 20))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 46 = -s, c - 2 + 1 = 0. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(14\/3)\/(f**(-13)*f))\/(f**12\/f*f*f*f*(f\/f**(1\/6))\/f) assuming f is positive.\nAnswer: f**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4499442 divided by -873.\nAnswer: 5154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15\/72)\/((-20)\/8 - -5).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 6 * 0.01734\nAnswer: 0.10404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-9)*(-294)\/(210\/15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 12*z**2 - 23*z - 253. Determine a(-8).\nAnswer: 699","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 182*h**3 - 702*h**3 + 261*h**3 + 261*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -2 - (-6 - -5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -87*q**3 + 1 + q**2 + 45*q**3 + 41*q**3 - 3*q in the form o + t*q + k*q**2 + p*q**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -2*k. Let b(a) = 1. Let r(v) = 4*v - 4. Let t(g) = -4*b(g) - r(g). Give n(t(f)).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/9, -47, -1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1af (base 16) to base 12.\nAnswer: -2bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -3*l + 1. Let v = l - 4. What is the third derivative of 0*f**2 - f**3 - 3*f**2 + 2*f**v wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -648 + 951. Suppose -h = -4*n + 1. Calculate the remainder when n is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1638 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-364)\/(-84))\/((-1)\/(6\/2)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 3, 9, -27 in increasing order.\nAnswer: -27, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -136*a = -99*a - 185 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve d = -4*y - 32, 4*d + 2*y = -91 + 61 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*o**2 - 354603*o - 118197 = 0. What is o?\nAnswer: -39399\/4, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r**2 - 2*r + 4. Let t be c(-3). Let p = t + 2. What is the derivative of 1 - a**3 + 0*a**p + 0*a**3 wrt a?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.4 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 3*s**3 - 21*s**2 - 12*s + 17. Let z(q) = -q**3 + 7*q**2 + 4*q - 5. Let y(m) = -4*c(m) - 13*z(m). Calculate y(8).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 35*j. Let r(m) be the third derivative of m**4\/24 - 74*m**2. What is l(r(n))?\nAnswer: 35*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 938, 1127, 1316, 1505, 1694, 1883?\nAnswer: 2072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 17 - 9 = -3*d, 5*v - 2*d = 130. Calculate the greatest common divisor of v and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20 divided by 14928\nAnswer: -5\/3732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000034 to six decimal places.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -21*s - 377. Determine x(-9).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 4*o + 2. Suppose 0 = -4*r + 2*r + 4. Let x be h(r). Suppose -2*p + 5 = l, 2*l = -0*p - 3*p + x. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -12908*c + 769. Let b(n) = -4*n**2. Calculate h(b(p)).\nAnswer: 51632*p**2 + 769","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 2*h + 38 = -7, -34 = -4*g + 2*h. Solve 28 = g*r + 83 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b - 4*b**3 - b - 2*b**3 - 3*b**3 + 4*b**3 + (0 + 0 + 1)*(-b**3 - 2*b**3 + 2*b**3))*(-8*b**2 - 73*b**2 + 35 - 35).\nAnswer: 486*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.239 - -0.41. Let o = -15 + 15.14. Let u = r - o. What is u rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 3*t - 28 = 0, 2*m - 2*t - 56 = 2*t. Let g(i) = i**2 - 57*i + 39*i + m*i + 19. What is the least common multiple of 4 and g(-9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13 + 0. Suppose 3*m = -2*j - 9, 11 = -2*j - 2*j + m. What is the remainder when 35\/(-15) - j - (-73)\/3 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5684, 0, -5, -6.\nAnswer: -5684, -6, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.4915666 - -0.219517. Let y = m - -0.272. What is y rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**0)**(13\/4)\/((j\/((j*j*j\/(j**(-1\/4)\/j))\/j))\/j*j**(-2\/9)\/j)*((j\/(((j**(-1\/5)*j*j)\/j)\/j))\/(j*j**(4\/7)\/j))\/(j**0)**37 assuming j is positive.\nAnswer: j**(6427\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 19*t - 3. Let r(q) = 2*q - 7. Let u be r(5). Let a be w(u). Suppose 2*i - 4*k - 8 = a, -4*k + 93 = 3*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a + 7 = 11*a + z, 0 = -z + 2. Let l(i) = 16*i + 4. Let o(p) = p + 1. What is a*l(u) - 6*o(u)?\nAnswer: 10*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - i + 7 = 0, -i = -1 - 3. Suppose q + q = 3*k + 12, 0 = q + a*k + 12. Suppose -3*r - r + 4 = q, r + 7 = 2*v. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x**2. Let p be (-2)\/9 - (-4)\/18. Suppose -2*d = -4*d + 8. Let l(g) = -g + p*g + d*g. Calculate l(u(k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 394156\/29 + -13581. Let o = h - 2587\/406. What is the common denominator of o and 29\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes after 2:19 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fifty-nine quarters of a litre?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 74879 and 231?\nAnswer: 2471007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 385 divide 24999205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 43\/20, 0.3, 4, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*x**5 - 3*x**5 - 2*x**5 + (-3*x**2 + 2*x**2 - 12*x**2 + (-2*x - 3 + 3)*(6*x + 12*x - x))*(0*x**3 - x**3 + 2*x**3).\nAnswer: -49*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 4*i - 3*i + 3*i. Let n(h) = h + 4*h - 6*h + 2*h. What is l(n(w))?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the third derivative of l**4\/24 + 10*l**2. Let c(f) = -4*f + 2. Determine c(j) + 2*y(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 97*c**2*r**3*x + 2*c**2*r**3 + 15*c**2*r*x**2 - c**2 - 7735*c*r**3*x**2 - 2*c*r**2 - 5*c*x - 2*r**3 wrt x.\nAnswer: 30*c**2*r - 15470*c*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -6*a + 1. Suppose -5*j + 72*z - 75*z - 8 = 0, 4*z = -j + 12. Let n(k) = -7*k + 2. What is j*n(m) + 5*g(m)?\nAnswer: -2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**2 - 7*g - 44. Let a be d(-5). Suppose -5*h + 6 = -9. Solve 0 = u + h*u - a for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 21885, 21874, 21859, 21840?\nAnswer: 21817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -8 - c?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.004 - 29.004. Let h = j - -28.9. What is the closest to h in 3\/5, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1869072, -1869065, -1869054, -1869039, -1869020, -1868997, -1868970?\n\"Answer: 2*c**2 + c - 1869075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange b**3 + 1070326 + 30*b**4 + 0*b**3 - 1070323 to n*b**3 + o + k*b**2 + f*b**4 + t*b and give f.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**2 - 7*o + 3. Let b be z(-7). Suppose 4*x - b*x = 0. Suppose -199 = -x*u - 4*u - 5*p, 2*p = -4*u + 202. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1254)\/(-15) - -1*6\/(-10) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 6 - 3*q + 9 - 4.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b - 14 + 89 = 0 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -534, -519, -480, -405, -282?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - 0.4. Let l(d) = 22*d**3 - 13*d**2 - 21*d**3 + 6*d + 6*d. Let b be l(12). What is the third smallest value in 3, m, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 70.64598 to one dp.\nAnswer: 70.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 4*r - 24. Let l be 418\/(-18) + (-6)\/(-27). Let y = -16 - l. What is the lowest common multiple of r and y?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 4*h + 14. Calculate k(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 47, 129, 227, 335, 447, 557, 659?\n\"Answer: -p**3 + 14*p**2 + 47*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the first derivative of -17*s**2 - 2*s - 264. Let j(c) = -9*c**2. Give j(i(y)).\nAnswer: -10404*y**2 - 1224*y - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6 - 8. Let t(w) = -57*w**2 + 43*w + 9. Let x be t(1). What is the nearest to i in x, 3\/16, 0.4?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of -6 + 10 + -4*(1 + -24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 536084 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + -1 + -5 + -15 + 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 12 = m, -12 = -3*i + 4*m + 2. Let j(l) = 33*l + 3. Let r be j(i). Suppose -r = -3*t - 12. Is t a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 61 - 55. Calculate the lowest common multiple of i and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24\/6*(-3)\/12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -484221418 + -1.\nAnswer: -484221419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in t - 34431*t**3 - 2 + 4273*t**3 - 112410*t**3.\nAnswer: -142568*t**3 + t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 458912619 to the power of 1\/2, to the nearest integer?\nAnswer: 21422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = -5*b - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by 517?\nAnswer: 2\/517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -17.25 times 0.691\nAnswer: -11.91975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**4 + 1926028*k**3 + 618263334120*k**2 + 66154795012890100*k - 66155413278150250.\nAnswer: 2*(k - 1)*(k + 321005)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*q = -14*q + 310 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j + 4 - 18 = -o, 4*j - 2*o - 20 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -31 (base 15) in base 4?\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -278627.48 to the nearest one hundred.\nAnswer: -278600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 4*m + 1. Let k(z) = -7*z - 1. Let b(w) = -3*k(w) - 5*y(w). Let n = 636 - 647. Let q(o) = -3*o + 5. Suppose 0 = 5*l + 20. Calculate l*q(h) + n*b(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (29\/(7395\/374))\/((-306)\/459)?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -4*j + 5*o - 12, -5*j - 4*o + 27 = 0. Solve -s - 7 = 2*f, 3*s - 2*f + j = f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-37 + 5 + 34 - (1 + 8)) + 15 + -79.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 11*y - 16*y + m, 0 = 5*m + 15 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (1\/3)\/(119\/(-2142))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 308*z + 428 - 1778*z - 1740*z - 857 + 429.\nAnswer: -3210*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t - 60 = 2*t. Let s(k) = k**3 + k**2 + 11*k - 3. Let p be s(0). Which is the third biggest value?  (a) 3\/4  (b) 2\/13  (c) p  (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t**4 + 28*t**3 - 90*t**2 - 900*t = 0. Calculate t.\nAnswer: -15, -5, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1093 + -547. Calculate the highest common factor of 2639 and h.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(3\/7)\/n)**(1\/33))**(-16) assuming n is positive.\nAnswer: n**(64\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that 2*v**3\/15 - 70304*v**2\/15 + 122547712*v\/3 + 29899382784\/5 = 0.\nAnswer: -144, 17648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -282924320 divided by -1010444\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1305 - 4?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.48 and 95.\nAnswer: 95.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.11  (b) 0.18  (c) -1\/18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2c13e - -37?\nAnswer: 2c176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -102122, -204243, -306364, -408485, -510606, -612727?\n\"Answer: -102121*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15947.\nAnswer: 37, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*q**2 + 8 + 6 + 2*q**2 - 8.\nAnswer: 4*q**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 33 + -33. Suppose 3*b - 6 = 4*x - z, -2*b + 4 = -4*x. Let o(s) = s**2 + 10. Calculate o(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**3 - 4*p**2 + 4. Calculate s(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add 64 and 1388390278.4.\nAnswer: 1388390342.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: aadd (base 16) to base 10\nAnswer: 43741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 3*d - 21 = 0. Suppose -4*p = 2*c + 44, -14*p + c = -9*p + 48. Let n = d + p. Calculate the remainder when n is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 4108 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 11852, 23703, 35556, 47411?\n\"Answer: u**2 + 11848*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 6, c: 4}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9 + -7. Suppose -4*w + 4 = -2*w - 2*d, -r*d = 10. Let a = -3.925 + -0.075. Sort w, 5\/3, a in descending order.\nAnswer: 5\/3, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2420)\/304 + 8)\/((-12)\/(-32)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -31 by -350200.\nAnswer: 31\/350200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5b + 5?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10 - -12. Let m(r) = 11*r**2 + 23*r - 40. Let n be m(-6). Find the second derivative of -203*v**2 + 390*v**2 + 33*v - n*v**f wrt v.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 14\/4*(-16)\/(-28). Suppose 3*b = -15, -b = 3*q + u*b - 12. Suppose -4*w + 0*o = -2*o - 6, -4*w - o = q. Is 1\/5 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10097*f + f**2 + 10104*f - 20201*f.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4*j + 0*j + 3*j)*(-j**2 - 3*j**2 + 2*j**2) + 2 - j**3 - 2)*(-7*j**2 - 2*j**2 + 2*j**2).\nAnswer: -7*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**3 + 4*a**2 - 2*a - 1. What is g(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2704865.\nAnswer: 5, 347, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * -0.0683163\nAnswer: -0.01366326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-5)*-25*4\/24.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 592\/(-9) - 18\/81. Let m = 92 + -171. Let h = g - m. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19, 17, 15, 13, 11, 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*-2 - 11\/(30 + 14)*0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -6*b + 14. Solve s = b*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**2. Suppose 0 = p - 1 - 4. Let n(r) = 21*r. Let l(w) be the second derivative of w**3 + w. Let i(s) = p*n(s) - 18*l(s). Determine i(v(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 445.43 * -1607.\nAnswer: -715806.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:32 AM and 10:37 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 15 - 2136374?\nAnswer: -2136358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10566 is divided by 266?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k + 3*c + 14, -4*k - 7*c + 2*c = 70. Let y = k - -28. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1805674243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10368 is divided by 336?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -3*h**3 + 21*h**2 + 14*h - 42. Let n be r(4). What is the highest common factor of 4 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000030374508 rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2044\/35 - 2\/5. Suppose 9*k + 49 - x = 0. Is k < 5\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + a)*(38 - 13 + 27)*(-5*a - 2*a**2 + 5*a - a).\nAnswer: -104*a**3 - 52*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -236384 - -1662961448\/7035. Let j = t - 298087\/239190. Calculate the common denominator of j and -113\/20.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -202 (base 3) in base 6?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjdcrdj. Give prob of picking 2 c and 1 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 16444\/12 - 6\/(-9). Is x\/27 + (-2)\/(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-21)\/(-35)*480\/1584. Let p = 1 + -5.8. Let u = p - -0.8. Which is bigger: u or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 112021 (base 7) to base 4\nAnswer: 10313011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -23691200*v**3 - 3*v + 9093084 wrt v?\nAnswer: -142147200*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -13 + 4 + 4 - (-10)\/2. Solve b = 12*c + 35 - 95 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 18321 and 7344357?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the third derivative of g**5\/60 - g**2. Let r(h) be the first derivative of 7\/3*h**3 + 0*h**2 + 0*h + 2. Give k(r(y)).\nAnswer: 49*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 304 = -d - 3*b - 297, 5*d = 3*b - 3059. Let v = d - -615. Solve 0 = -v*n - 34 + 9 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 336, 331, 326, 321, 316, 311?\nAnswer: 306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -12860 rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 82345173 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r - 22 = -37 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least as big as -161\/4272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4762736870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}